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Turfa Auliarachman edited this page Oct 25, 2016 · 17 revisions

Tool

langTool

The langTool code is shared at https://github.com/turfaa/languagetool.

Indonesian Kata Baku Checker

This is my proposed code for "Find one more bug" task. It checks a file from containing some common Indonesial unformal spelling (bahasa Indonesia: tidak baku). The code is shared at https://github.com/turfaa/IndonesianKataBakuChecker.

List of Bugs

Counter : 1
Github URL : https://github.com/e-maxx-eng/e-maxx-eng
Translation project page : Github Only
Bug Description : Spelling Error (occurences should be occurrences)
Command : langTool check en-US rabin-karp.md
Output :

Possible spelling mistake found
Replacements :
[{'value': 'Karl'}, {'value': 'Harp'}, {'value': 'Carp'}, {'value': 'Warp'}, {'value': 'Kara'}, {'value': 'Kart'}, {'value': 'Earp'}, {'value': 'Kari'}, {'value': 'Karo'}, {'value': 'Tarp'}]
Context :
{'offset': 43, 'text': '...his algorithm was authored by Rabin and Karp in 1987.  Problem: Given two strings - ...', 'length': 4}



Possible spelling mistake found
Replacements :
[{'value': 'occurrences'}]
Context :
{'offset': 43, 'text': '... text and if it does, enumerate all its occurences in  time.  Algorithm: Calculate the has...', 'length': 10}



Possible spelling mistake found
Replacements :
[{'value': 'sub string'}]
Context :
{'offset': 43, 'text': '...xes of the text . Now, we can compare a substring of length  with  in constant time using...', 'length': 9}



Possible spelling mistake found
Replacements :
[{'value': 'sub string'}]
Context :
{'offset': 43, 'text': '...the calculated hashes. So, compare each substring of length  with the pattern. This will ...', 'length': 9}



Did you forget a comma after a conjunctive/linking adverb?
Replacements :
[{'value': 'Hence,'}]
Context :
{'offset': 43, 'text': '...ttern. This will take a total of  time. Hence the final complexity of the algorithm i...', 'length': 5}



Possible spelling mistake found
Replacements :
[{'value': 'sub string'}]
Context :
{'offset': 43, 'text': '... of the pattern and  for comparing each substring of length  with the pattern.  Implement...', 'length': 9}

Additional Info : Pull Request Sent


Counter : 2
Github URL : https://github.com/e-maxx-eng/e-maxx-eng
Translation project page : Github Only
Bug Description : Spelling Error (calulating should be calculating)
Command : langTool check en-US string-hashing.md
Output :

Possible spelling mistake found
Replacements :
[{'value': 'deterministic ally'}]
Context :
{'text': '...g flaw that sometimes they are not 100% deterministically correct because when there are plenty o...', 'offset': 43, 'length': 17}



This sentence does not start with an uppercase letter
Replacements :
[{'value': 'Where'}]
Context :
{'text': '...f a string  is the following function:  where  is some number.  It is reasonable to m...', 'offset': 43, 'length': 5}



Possible typo: you repeated a word
Replacements :
[{'value': 'long'}]
Context :
{'text': '...rgest numeric type - int64 i.e unsigned long long. It is obvious that if the length of th...', 'offset': 43, 'length': 9}



Possible spelling mistake found
Replacements :
[{'value': 'calculating'}]
Context :
{'text': '... hash modulo  at all times.  Example of calulating the hash of a string , which contains o...', 'offset': 43, 'length': 10}



Possible spelling mistake found
Replacements :
[{'value': 'sub strings'}]
Context :
{'text': '... hashes.  Fast calculation of hashes of substrings of given string  Problem: Given a strin...', 'offset': 43, 'length': 10}



Possible spelling mistake found
Replacements :
[{'value': 'sub string'}]
Context :
{'text': '...and indices  and , find the hash of the substring .  By definition, we have:  from:  , th...', 'offset': 43, 'length': 9}



Possible spelling mistake found
Replacements :
[{'value': 'sub string'}]
Context :
{'text': '...ring , we can calculate the hash of any substring in .  The only problem that we face in ...', 'offset': 43, 'length': 9}



Possible spelling mistake found
Replacements :
[{'value': 'sub string'}]
Context :
{'text': '..., rather than calculating the hashes of substring exactly, we calculate the hash multipli...', 'offset': 43, 'length': 9}



Possible spelling mistake found
Replacements :
[{'value': 'sub strings'}]
Context :
{'text': '...ses.  Suppose we have two hashes of two substrings, one multiplied by  and the other by . ...', 'offset': 43, 'length': 10}



Possible spelling mistake found
Replacements :
[{'value': 'sub strings'}]
Context :
{'text': '... all prefixes and then compares any two substrings in :  Applications of Hashing  Here are...', 'offset': 43, 'length': 10}



Possible spelling mistake found
Replacements :
[{'value': 'sub strings'}]
Context :
{'text': '...me. Calculating the number of different substrings of a string in  (see below) Calculating...', 'offset': 43, 'length': 10}



Possible spelling mistake found
Replacements :
[{'value': 'sub strings'}]
Context :
{'text': '...) Calculating the number of palindromic substrings in a string.   Determination of the num...', 'offset': 43, 'length': 10}



Possible spelling mistake found
Replacements :
[{'value': 'sub strings'}]
Context :
{'text': '...etermination of the number of different substrings in  a string  Problem: Given a string  ...', 'offset': 43, 'length': 10}



Possible spelling mistake found
Replacements :
[{'value': 'sub strings'}]
Context :
{'text': '...n letters, find the number of different substrings in this string.  To solve this problem,...', 'offset': 43, 'length': 10}



Possible spelling mistake found
Replacements :
[{'value': 'sub string'}]
Context :
{'text': "...t's apply the brute force approach over substring length one by one: .  For every substri...", 'offset': 43, 'length': 9}



Possible spelling mistake found
Replacements :
[{'value': 'sub string'}]
Context :
{'text': '...bstring length one by one: .  For every substring length , we construct an array of hashe...', 'offset': 43, 'length': 9}



Possible spelling mistake found
Replacements :
[{'value': 'sub strings'}]
Context :
{'text': '... we construct an array of hashes of all substrings of length . Further, we get these hashe...', 'offset': 43, 'length': 10}



Possible spelling mistake found
Replacements :
[{'value': 'sub strings'}]
Context :
{'text': '...rray is equal to the number of distinct substrings of length  in the string. This number i...', 'offset': 43, 'length': 10}

Additional Info : Pull Request Sent


Counter : 3
Github URL : https://github.com/e-maxx-eng/e-maxx-eng
Translation project page : Github Only
Bug Description : The adverb 'always' is usually put between 'will' and 'be'.
Command : langTool check en-US string-hashing.md
Output :

Possible spelling mistake found
Replacements :
[{'value': 'sub string'}]
Context :
{'text': '...a string of length . The  suffix of  is substring .  What is a suffix array?  As a data s...', 'offset': 43, 'length': 9}



A determiner is probably missing here: "in the worst".
Replacements :
[{'value': 'in the worst'}]
Context :
{'text': '...re is comparison of two strings is not  in worst case it takes . So the final complexity...', 'offset': 43, 'length': 8}



The adverb 'always' is usually put between 'will' and 'be'.
Replacements :
[{'value': 'will always be'}]
Context :
{'text': '...t, that of 1 character we can say that  will  be always ranked above  so skip further compariso...', 'offset': 43, 'length': 15}



Did you forget a comma after a conjunctive/linking adverb?
Replacements :
[{'value': 'Hence,'}]
Context :
{'text': '... whole ) is 1 and  (i.e. whole ) is 0.  Hence  will be ranked above .    For the stri...', 'offset': 43, 'length': 5}



Possible spelling mistake found
Replacements :
[{'value': 'lexicographic ally'}]
Context :
{'text': '...her 4-character string, then it must be lexicographically greater somewhere in the first two char...', 'offset': 43, 'length': 17}



Did you forget a comma after a conjunctive/linking adverb?
Replacements :
[{'value': 'Similarly,'}]
Context :
{'text': '...ers of the two 4-characters strings.    Similarly we can compare 8, 16, 32  strings in at...', 'offset': 43, 'length': 9}



Possible spelling mistake found
Replacements :
[{'value': 'USA'}, {'value': 'UV'}, {'value': 'Ava'}, {'value': 'Suva'}, {'value': 'Ova'}, {'value': 'Iva'}, {'value': 'Eva'}, {'value': 'TVA'}, {'value': 'Ufa'}, {'value': 'VA'}, {'value': 'Va'}]
Context :
{'text': '...    Implementation  Practice Problems   Uva 760 - DNA Sequencing Uva 1223 - Editor ...', 'offset': 43, 'length': 3}



Possible spelling mistake found
Replacements :
[{'value': 'USA'}, {'value': 'UV'}, {'value': 'Ava'}, {'value': 'Suva'}, {'value': 'Ova'}, {'value': 'Iva'}, {'value': 'Eva'}, {'value': 'TVA'}, {'value': 'Ufa'}, {'value': 'VA'}, {'value': 'Va'}]
Context :
{'text': '...ice Problems   Uva 760 - DNA Sequencing Uva 1223 - Editor   Upcoming:  approach,  a...', 'offset': 43, 'length': 3}

Additional Info : Pull Request Sent


Counter : 4
Github URL : https://github.com/e-maxx-eng/e-maxx-eng
Translation project page : Github Only
Bug Description : Typo (hte should be the)
Command : langTool check en-US determinant-gauss.md
Output :

Possible spelling mistake found
Replacements :
[{'value': 'the'}, {'value': 'he'}, {'value': 'hate'}, {'value': 'ate'}, {'value': 'hue'}, {'value': 'GTE'}, {'value': 'Hts'}, {'value': 'HT'}, {'value': 'He'}, {'value': 'Rte'}, {'value': 'Ste'}, {'value': 'Te'}, {'value': 'Ute'}, {'value': 'hie'}, {'value': 'hoe'}, {'value': 'ht'}, {'value': 'ite'}, {'value': 'rte'}, {'value': 'ht e'}]
Context :
{'length': 3, 'text': '...algorithm to compute the determinant of hte matrix in comlexity .  It should be not...', 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'complexity'}]
Context :
{'length': 9, 'text': '...ompute the determinant of hte matrix in comlexity .  It should be noted that if at some p...', 'offset': 43}

Additional Info : Pull Request Merged


Counter : 5
Github URL : https://github.com/e-maxx-eng/e-maxx-eng
Translation project page : Github Only
Bug Description : Typo (comlexity should be complexity)
Command : langTool check en-US determinant-gauss.md
Output :

Possible spelling mistake found
Replacements :
[{'value': 'the'}, {'value': 'he'}, {'value': 'hate'}, {'value': 'ate'}, {'value': 'hue'}, {'value': 'GTE'}, {'value': 'Hts'}, {'value': 'HT'}, {'value': 'He'}, {'value': 'Rte'}, {'value': 'Ste'}, {'value': 'Te'}, {'value': 'Ute'}, {'value': 'hie'}, {'value': 'hoe'}, {'value': 'ht'}, {'value': 'ite'}, {'value': 'rte'}, {'value': 'ht e'}]
Context :
{'length': 3, 'text': '...algorithm to compute the determinant of hte matrix in comlexity .  It should be not...', 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'complexity'}]
Context :
{'length': 9, 'text': '...ompute the determinant of hte matrix in comlexity .  It should be noted that if at some p...', 'offset': 43}

Additional Info : Pull Request Merged


Counter : 6
Github URL : https://github.com/e-maxx-eng/e-maxx-eng
Translation project page : Github Only
Bug Description : Double word (and and should be and)
Command : langTool check en-US determinant-krautt.md
Output :

Possible typo: you repeated a word
Replacements :
[{'value': 'and'}]
Context :
{'offset': 43, 'text': '...osition of matrix  as  where L is lower and and U is upper triangular matrix. Without l...', 'length': 7}



Possible spelling mistake found
Replacements :
[{'value': 'convertible'}, {'value': 'infertile'}, {'value': 'revertible'}]
Context :
{'offset': 43, 'text': '...U.  There is a theorem stating that any invertible matrix has a LU-decomposition, and it i...', 'length': 10}



Did you mean  "recalled"?
Replacements :
[{'value': 'recalled'}]
Context :
{'offset': 43, 'text': '...ciple minors are non-zero. It should be recall that we consider only such decompositio...', 'length': 6}



Possible typo: you repeated a word
Replacements :
[{'value': 'for'}]
Context :
{'offset': 43, 'text': '...and U using the following steps:   Let  for  For each  perform:   For  find value :  whe...', 'length': 8}



This sentence does not start with an uppercase letter
Replacements :
[{'value': 'Where'}]
Context :
{'offset': 43, 'text': '...For each  perform:   For  find value :  where the sum is over all . Next, for  have: ...', 'length': 5}

Additional Info :Pull Request Merged


Counter : 7
Github URL : https://github.com/e-maxx-eng/e-maxx-eng
Translation project page : Github Only Bug Description : Grammar error (It should be recall should be It should be recalled)
Command : langTool check en-US determinant-krautt.md
Output :

Possible typo: you repeated a word
Replacements :
[{'value': 'and'}]
Context :
{'offset': 43, 'text': '...osition of matrix  as  where L is lower and and U is upper triangular matrix. Without l...', 'length': 7}



Possible spelling mistake found
Replacements :
[{'value': 'convertible'}, {'value': 'infertile'}, {'value': 'revertible'}]
Context :
{'offset': 43, 'text': '...U.  There is a theorem stating that any invertible matrix has a LU-decomposition, and it i...', 'length': 10}



Did you mean  "recalled"?
Replacements :
[{'value': 'recalled'}]
Context :
{'offset': 43, 'text': '...ciple minors are non-zero. It should be recall that we consider only such decompositio...', 'length': 6}



Possible typo: you repeated a word
Replacements :
[{'value': 'for'}]
Context :
{'offset': 43, 'text': '...and U using the following steps:   Let  for  For each  perform:   For  find value :  whe...', 'length': 8}



This sentence does not start with an uppercase letter
Replacements :
[{'value': 'Where'}]
Context :
{'offset': 43, 'text': '...For each  perform:   For  find value :  where the sum is over all . Next, for  have: ...', 'length': 5}

Additional Info : Pull Request Merged


Counter : 8
Github URL : https://github.com/e-maxx-eng/e-maxx-eng
Translation project page : Github Only
Bug Description : Grammar error (In many implementation should be In many implementations)
Command : langTool check en-US linear-system-gauss.md
Output :

Possible spelling mistake found
Replacements :
[{'value': 'km'}, {'value': 'FM'}, {'value': 'am'}, {'value': 'cm'}, {'value': 'mm'}, {'value': 'PM'}, {'value': 'pm'}, {'value': 'XML'}, {'value': 'um'}, {'value': 'gm'}, {'value': 'GM'}, {'value': 'AM'}, {'value': 'Am'}, {'value': 'BM'}, {'value': 'Cm'}, {'value': 'EM'}, {'value': 'Fm'}, {'value': 'HM'}, {'value': 'M'}, {'value': 'MM'}, {'value': 'NM'}, {'value': 'Pm'}, {'value': 'QM'}, {'value': 'Sm'}, {'value': 'TM'}, {'value': 'Tm'}, {'value': 'Wm'}, {'value': 'X'}, {'value': 'XL'}, {'value': 'XS'}, {'value': 'Xe'}, {'value': 'Xi'}, {'value': 'em'}, {'value': 'm'}, {'value': 'om'}, {'value': 'rm'}, {'value': 'x'}, {'value': 'xi'}, {'value': 'xv'}, {'value': 'xx'}, {'value': 'x m'}]
Context :
{'text': '...m:  a{11} x1 + a{12} x2 + \\dots + a{1m} xm = b1 a{21} x1 + a{22} x2 + \\dots + a{2m...', 'offset': 43, 'length': 2}



Possible spelling mistake found
Replacements :
[{'value': 'km'}, {'value': 'FM'}, {'value': 'am'}, {'value': 'cm'}, {'value': 'mm'}, {'value': 'PM'}, {'value': 'pm'}, {'value': 'XML'}, {'value': 'um'}, {'value': 'gm'}, {'value': 'GM'}, {'value': 'AM'}, {'value': 'Am'}, {'value': 'BM'}, {'value': 'Cm'}, {'value': 'EM'}, {'value': 'Fm'}, {'value': 'HM'}, {'value': 'M'}, {'value': 'MM'}, {'value': 'NM'}, {'value': 'Pm'}, {'value': 'QM'}, {'value': 'Sm'}, {'value': 'TM'}, {'value': 'Tm'}, {'value': 'Wm'}, {'value': 'X'}, {'value': 'XL'}, {'value': 'XS'}, {'value': 'Xe'}, {'value': 'Xi'}, {'value': 'em'}, {'value': 'm'}, {'value': 'om'}, {'value': 'rm'}, {'value': 'x'}, {'value': 'xi'}, {'value': 'xv'}, {'value': 'xx'}, {'value': 'x m'}]
Context :
{'text': '... b1 a{21} x1 + a{22} x2 + \\dots + a{2m} xm = b2 \\dots a{n1} x1 + a{n2} x2 + \\dots ...', 'offset': 43, 'length': 2}



Possible spelling mistake found
Replacements :
[{'value': 'NM'}, {'value': 'no'}, {'value': 'km'}, {'value': 'FM'}, {'value': 'am'}, {'value': 'cm'}, {'value': 'mm'}, {'value': 'PM'}, {'value': 'pm'}, {'value': 'NP'}, {'value': 'nu'}, {'value': 'Nam'}, {'value': 'um'}, {'value': 'NY'}, {'value': 'gm'}, {'value': 'GM'}, {'value': 'AM'}, {'value': 'Am'}, {'value': 'BM'}, {'value': 'Cm'}, {'value': 'EM'}, {'value': 'Fm'}, {'value': 'HM'}, {'value': 'M'}, {'value': 'MM'}, {'value': 'N'}, {'value': 'NB'}, {'value': 'NC'}, {'value': 'ND'}, {'value': 'NE'}, {'value': 'NF'}, {'value': 'NH'}, {'value': 'NJ'}, {'value': 'NR'}, {'value': 'NS'}, {'value': 'NT'}, {'value': 'NV'}, {'value': 'NW'}, {'value': 'NZ'}, {'value': 'Na'}, {'value': 'Nb'}, {'value': 'Nd'}, {'value': 'Ne'}, {'value': 'Ni'}, {'value': 'No'}, {'value': 'Np'}, {'value': 'Pm'}, {'value': 'QM'}, {'value': 'Sm'}, {'value': 'TM'}, {'value': 'Tm'}, {'value': 'Wm'}, {'value': 'em'}, {'value': 'm'}, {'value': 'n'}, {'value': 'ne'}, {'value': 'om'}, {'value': 'rm'}, {'value': 'n m'}]
Context :
{'text': '...2 \\dots a{n1} x1 + a{n2} x2 + \\dots + a{nm} xm = b_n  where the coefficients  (for...', 'offset': 43, 'length': 2}



Possible spelling mistake found
Replacements :
[{'value': 'km'}, {'value': 'FM'}, {'value': 'am'}, {'value': 'cm'}, {'value': 'mm'}, {'value': 'PM'}, {'value': 'pm'}, {'value': 'XML'}, {'value': 'um'}, {'value': 'gm'}, {'value': 'GM'}, {'value': 'AM'}, {'value': 'Am'}, {'value': 'BM'}, {'value': 'Cm'}, {'value': 'EM'}, {'value': 'Fm'}, {'value': 'HM'}, {'value': 'M'}, {'value': 'MM'}, {'value': 'NM'}, {'value': 'Pm'}, {'value': 'QM'}, {'value': 'Sm'}, {'value': 'TM'}, {'value': 'Tm'}, {'value': 'Wm'}, {'value': 'X'}, {'value': 'XL'}, {'value': 'XS'}, {'value': 'Xe'}, {'value': 'Xi'}, {'value': 'em'}, {'value': 'm'}, {'value': 'om'}, {'value': 'rm'}, {'value': 'x'}, {'value': 'xi'}, {'value': 'xv'}, {'value': 'xx'}, {'value': 'x m'}]
Context :
{'text': '...ots a{n1} x1 + a{n2} x2 + \\dots + a{nm} xm = b_n  where the coefficients  (for  fr...', 'offset': 43, 'length': 2}



Possible spelling mistake found
Replacements :
[{'value': 'ban'}, {'value': 'Ben'}, {'value': 'bin'}, {'value': 'bun'}]
Context :
{'text': '...{n1} x1 + a{n2} x2 + \\dots + a{nm} xm = b_n  where the coefficients  (for  from 1 t...', 'offset': 43, 'length': 3}



This sentence does not start with an uppercase letter
Replacements :
[{'value': 'Where'}]
Context :
{'text': '...x1 + a{n2} x2 + \\dots + a{nm} xm = b_n  where the coefficients  (for  from 1 to ,  fr...', 'offset': 43, 'length': 5}



Possible spelling mistake found
Replacements :
[{'value': 'km'}, {'value': 'FM'}, {'value': 'am'}, {'value': 'cm'}, {'value': 'mm'}, {'value': 'PM'}, {'value': 'pm'}, {'value': 'XML'}, {'value': 'um'}, {'value': 'gm'}, {'value': 'GM'}, {'value': 'AM'}, {'value': 'Am'}, {'value': 'BM'}, {'value': 'Cm'}, {'value': 'EM'}, {'value': 'Fm'}, {'value': 'HM'}, {'value': 'M'}, {'value': 'MM'}, {'value': 'NM'}, {'value': 'Pm'}, {'value': 'QM'}, {'value': 'Sm'}, {'value': 'TM'}, {'value': 'Tm'}, {'value': 'Wm'}, {'value': 'X'}, {'value': 'XL'}, {'value': 'XS'}, {'value': 'Xe'}, {'value': 'Xi'}, {'value': 'em'}, {'value': 'm'}, {'value': 'om'}, {'value': 'rm'}, {'value': 'x'}, {'value': 'xi'}, {'value': 'xv'}, {'value': 'xx'}, {'value': 'x m'}]
Context :
{'text': '....:  a{11} x1 + a{12} x2 + \\dots + a{1m} xm \\equiv b1 \\pmod p a{21} x1 + a{22} x2 +...', 'offset': 43, 'length': 2}



Possible spelling mistake found
Replacements :
[{'value': 'mod'}, {'value': 'pod'}, {'value': 'prod'}, {'value': 'plod'}, {'value': 'PMed'}, {'value': 'p mod'}]
Context :
{'text': '... a{12} x2 + \\dots + a{1m} xm \\equiv b1 \\pmod p a{21} x1 + a{22} x2 + \\dots + a{2m} x...', 'offset': 43, 'length': 4}



Possible spelling mistake found
Replacements :
[{'value': 'km'}, {'value': 'FM'}, {'value': 'am'}, {'value': 'cm'}, {'value': 'mm'}, {'value': 'PM'}, {'value': 'pm'}, {'value': 'XML'}, {'value': 'um'}, {'value': 'gm'}, {'value': 'GM'}, {'value': 'AM'}, {'value': 'Am'}, {'value': 'BM'}, {'value': 'Cm'}, {'value': 'EM'}, {'value': 'Fm'}, {'value': 'HM'}, {'value': 'M'}, {'value': 'MM'}, {'value': 'NM'}, {'value': 'Pm'}, {'value': 'QM'}, {'value': 'Sm'}, {'value': 'TM'}, {'value': 'Tm'}, {'value': 'Wm'}, {'value': 'X'}, {'value': 'XL'}, {'value': 'XS'}, {'value': 'Xe'}, {'value': 'Xi'}, {'value': 'em'}, {'value': 'm'}, {'value': 'om'}, {'value': 'rm'}, {'value': 'x'}, {'value': 'xi'}, {'value': 'xv'}, {'value': 'xx'}, {'value': 'x m'}]
Context :
{'text': '...d p a{21} x1 + a{22} x2 + \\dots + a{2m} xm \\equiv b2 \\pmod p \\dots a{n1} x1 + a{n2...', 'offset': 43, 'length': 2}



Possible spelling mistake found
Replacements :
[{'value': 'mod'}, {'value': 'pod'}, {'value': 'prod'}, {'value': 'plod'}, {'value': 'PMed'}, {'value': 'p mod'}]
Context :
{'text': '... a{22} x2 + \\dots + a{2m} xm \\equiv b2 \\pmod p \\dots a{n1} x1 + a{n2} x2 + \\dots + a...', 'offset': 43, 'length': 4}



Possible spelling mistake found
Replacements :
[{'value': 'NM'}, {'value': 'no'}, {'value': 'km'}, {'value': 'FM'}, {'value': 'am'}, {'value': 'cm'}, {'value': 'mm'}, {'value': 'PM'}, {'value': 'pm'}, {'value': 'NP'}, {'value': 'nu'}, {'value': 'Nam'}, {'value': 'um'}, {'value': 'NY'}, {'value': 'gm'}, {'value': 'GM'}, {'value': 'AM'}, {'value': 'Am'}, {'value': 'BM'}, {'value': 'Cm'}, {'value': 'EM'}, {'value': 'Fm'}, {'value': 'HM'}, {'value': 'M'}, {'value': 'MM'}, {'value': 'N'}, {'value': 'NB'}, {'value': 'NC'}, {'value': 'ND'}, {'value': 'NE'}, {'value': 'NF'}, {'value': 'NH'}, {'value': 'NJ'}, {'value': 'NR'}, {'value': 'NS'}, {'value': 'NT'}, {'value': 'NV'}, {'value': 'NW'}, {'value': 'NZ'}, {'value': 'Na'}, {'value': 'Nb'}, {'value': 'Nd'}, {'value': 'Ne'}, {'value': 'Ni'}, {'value': 'No'}, {'value': 'Np'}, {'value': 'Pm'}, {'value': 'QM'}, {'value': 'Sm'}, {'value': 'TM'}, {'value': 'Tm'}, {'value': 'Wm'}, {'value': 'em'}, {'value': 'm'}, {'value': 'n'}, {'value': 'ne'}, {'value': 'om'}, {'value': 'rm'}, {'value': 'n m'}]
Context :
{'text': '...p \\dots a{n1} x1 + a{n2} x2 + \\dots + a{nm} xm \\equiv b_n \\pmod p  Gauss  Strictly...', 'offset': 43, 'length': 2}



Possible spelling mistake found
Replacements :
[{'value': 'km'}, {'value': 'FM'}, {'value': 'am'}, {'value': 'cm'}, {'value': 'mm'}, {'value': 'PM'}, {'value': 'pm'}, {'value': 'XML'}, {'value': 'um'}, {'value': 'gm'}, {'value': 'GM'}, {'value': 'AM'}, {'value': 'Am'}, {'value': 'BM'}, {'value': 'Cm'}, {'value': 'EM'}, {'value': 'Fm'}, {'value': 'HM'}, {'value': 'M'}, {'value': 'MM'}, {'value': 'NM'}, {'value': 'Pm'}, {'value': 'QM'}, {'value': 'Sm'}, {'value': 'TM'}, {'value': 'Tm'}, {'value': 'Wm'}, {'value': 'X'}, {'value': 'XL'}, {'value': 'XS'}, {'value': 'Xe'}, {'value': 'Xi'}, {'value': 'em'}, {'value': 'm'}, {'value': 'om'}, {'value': 'rm'}, {'value': 'x'}, {'value': 'xi'}, {'value': 'xv'}, {'value': 'xx'}, {'value': 'x m'}]
Context :
{'text': '...ots a{n1} x1 + a{n2} x2 + \\dots + a{nm} xm \\equiv b_n \\pmod p  Gauss  Strictly spe...', 'offset': 43, 'length': 2}



Possible spelling mistake found
Replacements :
[{'value': 'ban'}, {'value': 'Ben'}, {'value': 'bin'}, {'value': 'bun'}]
Context :
{'text': '...x1 + a{n2} x2 + \\dots + a{nm} xm \\equiv b_n \\pmod p  Gauss  Strictly speaking, the ...', 'offset': 43, 'length': 3}



Possible spelling mistake found
Replacements :
[{'value': 'mod'}, {'value': 'pod'}, {'value': 'prod'}, {'value': 'plod'}, {'value': 'PMed'}, {'value': 'p mod'}]
Context :
{'text': '...a{n2} x2 + \\dots + a{nm} xm \\equiv b_n \\pmod p  Gauss  Strictly speaking, the method...', 'offset': 43, 'length': 4}



Possible spelling mistake found
Replacements :
[{'value': 'nth'}, {'value': 'Th'}]
Context :
{'text': '...sense, it behaves as if vector  was the -th column of matrix .  As a result, after ...', 'offset': 43, 'length': 3}



The verb 'will' requires the base form of the verb: "consist"
Replacements :
[{'value': 'consist'}]
Context :
{'text': '... step, the first column of matrix  will consists of  on the first row, and  in other row...', 'offset': 43, 'length': 8}



Possible spelling mistake found
Replacements :
[{'value': 'Th'}, {'value': 'the'}, {'value': 'to'}, {'value': 'tho'}, {'value': 'oh'}, {'value': 'pH'}, {'value': 'TV'}, {'value': 'ta'}, {'value': 'thy'}, {'value': 'THC'}, {'value': 'ah'}, {'value': 'sh'}, {'value': 'eh'}, {'value': 'ts'}, {'value': 'uh'}, {'value': 'nth'}, {'value': 'TD'}, {'value': 'Ch'}, {'value': 'DH'}, {'value': 'H'}, {'value': 'NH'}, {'value': 'OH'}, {'value': 'Rh'}, {'value': 'T'}, {'value': 'TA'}, {'value': 'TB'}, {'value': 'TM'}, {'value': 'TN'}, {'value': 'TX'}, {'value': 'Ta'}, {'value': 'Tb'}, {'value': 'Tc'}, {'value': 'Te'}, {'value': 'Thu'}, {'value': 'Ti'}, {'value': 'Tl'}, {'value': 'Tm'}, {'value': 'Tu'}, {'value': 'Ty'}, {'value': 'ch'}, {'value': 'h'}, {'value': 'ht'}, {'value': 't'}, {'value': 'ti'}, {'value': 'tn'}, {'value': 'tr'}, {'value': 't h'}]
Context :
{'text': '...ed scheme left out many details. At the th step, if  is zero, we cannot apply dire...', 'offset': 43, 'length': 2}



Possible spelling mistake found
Replacements :
[{'value': 'Th'}, {'value': 'the'}, {'value': 'to'}, {'value': 'tho'}, {'value': 'oh'}, {'value': 'pH'}, {'value': 'TV'}, {'value': 'ta'}, {'value': 'thy'}, {'value': 'THC'}, {'value': 'ah'}, {'value': 'sh'}, {'value': 'eh'}, {'value': 'ts'}, {'value': 'uh'}, {'value': 'nth'}, {'value': 'TD'}, {'value': 'Ch'}, {'value': 'DH'}, {'value': 'H'}, {'value': 'NH'}, {'value': 'OH'}, {'value': 'Rh'}, {'value': 'T'}, {'value': 'TA'}, {'value': 'TB'}, {'value': 'TM'}, {'value': 'TN'}, {'value': 'TX'}, {'value': 'Ta'}, {'value': 'Tb'}, {'value': 'Tc'}, {'value': 'Te'}, {'value': 'Thu'}, {'value': 'Ti'}, {'value': 'Tl'}, {'value': 'Tm'}, {'value': 'Tu'}, {'value': 'Ty'}, {'value': 'ch'}, {'value': 'h'}, {'value': 'ht'}, {'value': 't'}, {'value': 'ti'}, {'value': 'tn'}, {'value': 'tr'}, {'value': 't h'}]
Context :
{'text': '...w: find one row of the matrix where the th column is non-zero, and then swap the t...', 'offset': 43, 'length': 2}



Possible agreement error. The noun implementation seems to be countable; consider using: "many implementations".
Replacements :
[{'value': 'many implementations'}]
Context :
{'text': '...swapping rows is much easier to do.  In many implementation, when , you can see people still swap t...', 'offset': 43, 'length': 19}



Possible spelling mistake found
Replacements :
[{'value': 'Th'}, {'value': 'the'}, {'value': 'to'}, {'value': 'tho'}, {'value': 'oh'}, {'value': 'pH'}, {'value': 'TV'}, {'value': 'ta'}, {'value': 'thy'}, {'value': 'THC'}, {'value': 'ah'}, {'value': 'sh'}, {'value': 'eh'}, {'value': 'ts'}, {'value': 'uh'}, {'value': 'nth'}, {'value': 'TD'}, {'value': 'Ch'}, {'value': 'DH'}, {'value': 'H'}, {'value': 'NH'}, {'value': 'OH'}, {'value': 'Rh'}, {'value': 'T'}, {'value': 'TA'}, {'value': 'TB'}, {'value': 'TM'}, {'value': 'TN'}, {'value': 'TX'}, {'value': 'Ta'}, {'value': 'Tb'}, {'value': 'Tc'}, {'value': 'Te'}, {'value': 'Thu'}, {'value': 'Ti'}, {'value': 'Tl'}, {'value': 'Tm'}, {'value': 'Tu'}, {'value': 'Ty'}, {'value': 'ch'}, {'value': 'h'}, {'value': 'ht'}, {'value': 't'}, {'value': 'ti'}, {'value': 'tn'}, {'value': 'tr'}, {'value': 't h'}]
Context :
{'text': '...hen , you can see people still swap the th row with some pivoting row, using some ...', 'offset': 43, 'length': 2}



Possible spelling mistake found
Replacements :
[{'value': 'Th'}, {'value': 'the'}, {'value': 'to'}, {'value': 'tho'}, {'value': 'oh'}, {'value': 'pH'}, {'value': 'TV'}, {'value': 'ta'}, {'value': 'thy'}, {'value': 'THC'}, {'value': 'ah'}, {'value': 'sh'}, {'value': 'eh'}, {'value': 'ts'}, {'value': 'uh'}, {'value': 'nth'}, {'value': 'TD'}, {'value': 'Ch'}, {'value': 'DH'}, {'value': 'H'}, {'value': 'NH'}, {'value': 'OH'}, {'value': 'Rh'}, {'value': 'T'}, {'value': 'TA'}, {'value': 'TB'}, {'value': 'TM'}, {'value': 'TN'}, {'value': 'TX'}, {'value': 'Ta'}, {'value': 'Tb'}, {'value': 'Tc'}, {'value': 'Te'}, {'value': 'Thu'}, {'value': 'Ti'}, {'value': 'Tl'}, {'value': 'Tm'}, {'value': 'Tu'}, {'value': 'Ty'}, {'value': 'ch'}, {'value': 'h'}, {'value': 'ht'}, {'value': 't'}, {'value': 'ti'}, {'value': 'tn'}, {'value': 'tr'}, {'value': 't h'}]
Context :
{'text': '...In these cases, the pivoting element in th step may not be found. This means that ...', 'offset': 43, 'length': 2}



Possible spelling mistake found
Replacements :
[{'value': 'Th'}, {'value': 'the'}, {'value': 'to'}, {'value': 'tho'}, {'value': 'oh'}, {'value': 'pH'}, {'value': 'TV'}, {'value': 'ta'}, {'value': 'thy'}, {'value': 'THC'}, {'value': 'ah'}, {'value': 'sh'}, {'value': 'eh'}, {'value': 'ts'}, {'value': 'uh'}, {'value': 'nth'}, {'value': 'TD'}, {'value': 'Ch'}, {'value': 'DH'}, {'value': 'H'}, {'value': 'NH'}, {'value': 'OH'}, {'value': 'Rh'}, {'value': 'T'}, {'value': 'TA'}, {'value': 'TB'}, {'value': 'TM'}, {'value': 'TN'}, {'value': 'TX'}, {'value': 'Ta'}, {'value': 'Tb'}, {'value': 'Tc'}, {'value': 'Te'}, {'value': 'Thu'}, {'value': 'Ti'}, {'value': 'Tl'}, {'value': 'Tm'}, {'value': 'Tu'}, {'value': 'Ty'}, {'value': 'ch'}, {'value': 'h'}, {'value': 'ht'}, {'value': 't'}, {'value': 'ti'}, {'value': 'tn'}, {'value': 'tr'}, {'value': 't h'}]
Context :
{'text': '...ay not be found. This means that on the th column, starting from the current line,...', 'offset': 43, 'length': 2}



Possible spelling mistake found
Replacements :
[{'value': 'Th'}, {'value': 'the'}, {'value': 'to'}, {'value': 'tho'}, {'value': 'oh'}, {'value': 'pH'}, {'value': 'TV'}, {'value': 'ta'}, {'value': 'thy'}, {'value': 'THC'}, {'value': 'ah'}, {'value': 'sh'}, {'value': 'eh'}, {'value': 'ts'}, {'value': 'uh'}, {'value': 'nth'}, {'value': 'TD'}, {'value': 'Ch'}, {'value': 'DH'}, {'value': 'H'}, {'value': 'NH'}, {'value': 'OH'}, {'value': 'Rh'}, {'value': 'T'}, {'value': 'TA'}, {'value': 'TB'}, {'value': 'TM'}, {'value': 'TN'}, {'value': 'TX'}, {'value': 'Ta'}, {'value': 'Tb'}, {'value': 'Tc'}, {'value': 'Te'}, {'value': 'Thu'}, {'value': 'Ti'}, {'value': 'Tl'}, {'value': 'Tm'}, {'value': 'Tu'}, {'value': 'Ty'}, {'value': 'ch'}, {'value': 'h'}, {'value': 'ht'}, {'value': 't'}, {'value': 'ti'}, {'value': 'tn'}, {'value': 'tr'}, {'value': 't h'}]
Context :
{'text': '... subsequent variables and just skip the th column (this is equivalent to removing ...', 'offset': 43, 'length': 2}



Possible spelling mistake found
Replacements :
[{'value': 'Th'}, {'value': 'the'}, {'value': 'to'}, {'value': 'tho'}, {'value': 'oh'}, {'value': 'pH'}, {'value': 'TV'}, {'value': 'ta'}, {'value': 'thy'}, {'value': 'THC'}, {'value': 'ah'}, {'value': 'sh'}, {'value': 'eh'}, {'value': 'ts'}, {'value': 'uh'}, {'value': 'nth'}, {'value': 'TD'}, {'value': 'Ch'}, {'value': 'DH'}, {'value': 'H'}, {'value': 'NH'}, {'value': 'OH'}, {'value': 'Rh'}, {'value': 'T'}, {'value': 'TA'}, {'value': 'TB'}, {'value': 'TM'}, {'value': 'TN'}, {'value': 'TX'}, {'value': 'Ta'}, {'value': 'Tb'}, {'value': 'Tc'}, {'value': 'Te'}, {'value': 'Thu'}, {'value': 'Ti'}, {'value': 'Tl'}, {'value': 'Tm'}, {'value': 'Tu'}, {'value': 'Ty'}, {'value': 'ch'}, {'value': 'h'}, {'value': 'ht'}, {'value': 't'}, {'value': 'ti'}, {'value': 'tn'}, {'value': 'tr'}, {'value': 't h'}]
Context :
{'text': '...umn (this is equivalent to removing the th column of the matrix).  So, some of the...', 'offset': 43, 'length': 2}



Consider using "some".
Replacements :
[{'value': 'some'}]
Context :
{'text': '...ving the th column of the matrix).  So, some of the variables in the process can be found t...', 'offset': 43, 'length': 11}



The pronoun 'they' must be used with a non-third-person form of a verb: "satisfy"
Replacements :
[{'value': 'satisfy'}]
Context :
{'text': '...n to the original SLAE to check if they satisfies.  Implementation  Following is an imple...', 'offset': 43, 'length': 9}



Possible spelling mistake found
Replacements :
[{'value': 'Gauss'}]
Context :
{'text': '...rent column.  The input to the function gauss is the system matrix . The last column ...', 'offset': 43, 'length': 5}



Possible spelling mistake found
Replacements :
[{'value': 'Th'}, {'value': 'the'}, {'value': 'to'}, {'value': 'tho'}, {'value': 'oh'}, {'value': 'pH'}, {'value': 'TV'}, {'value': 'ta'}, {'value': 'thy'}, {'value': 'THC'}, {'value': 'ah'}, {'value': 'sh'}, {'value': 'eh'}, {'value': 'ts'}, {'value': 'uh'}, {'value': 'nth'}, {'value': 'TD'}, {'value': 'Ch'}, {'value': 'DH'}, {'value': 'H'}, {'value': 'NH'}, {'value': 'OH'}, {'value': 'Rh'}, {'value': 'T'}, {'value': 'TA'}, {'value': 'TB'}, {'value': 'TM'}, {'value': 'TN'}, {'value': 'TX'}, {'value': 'Ta'}, {'value': 'Tb'}, {'value': 'Tc'}, {'value': 'Te'}, {'value': 'Thu'}, {'value': 'Ti'}, {'value': 'Tl'}, {'value': 'Tm'}, {'value': 'Tu'}, {'value': 'Ty'}, {'value': 'ch'}, {'value': 'h'}, {'value': 'ht'}, {'value': 't'}, {'value': 'ti'}, {'value': 'tn'}, {'value': 'tr'}, {'value': 't h'}]
Context :
{'text': '...nt. In this implementation, the current th line is not divided by  as described ab...', 'offset': 43, 'length': 2}



Possible spelling mistake found
Replacements :
[{'value': 'Th'}, {'value': 'the'}, {'value': 'to'}, {'value': 'tho'}, {'value': 'oh'}, {'value': 'pH'}, {'value': 'TV'}, {'value': 'ta'}, {'value': 'thy'}, {'value': 'THC'}, {'value': 'ah'}, {'value': 'sh'}, {'value': 'eh'}, {'value': 'ts'}, {'value': 'uh'}, {'value': 'nth'}, {'value': 'TD'}, {'value': 'Ch'}, {'value': 'DH'}, {'value': 'H'}, {'value': 'NH'}, {'value': 'OH'}, {'value': 'Rh'}, {'value': 'T'}, {'value': 'TA'}, {'value': 'TB'}, {'value': 'TM'}, {'value': 'TN'}, {'value': 'TX'}, {'value': 'Ta'}, {'value': 'Tb'}, {'value': 'Tc'}, {'value': 'Te'}, {'value': 'Thu'}, {'value': 'Ti'}, {'value': 'Tl'}, {'value': 'Tm'}, {'value': 'Tu'}, {'value': 'Ty'}, {'value': 'ch'}, {'value': 'h'}, {'value': 'ht'}, {'value': 't'}, {'value': 'ti'}, {'value': 'tn'}, {'value': 'tr'}, {'value': 't h'}]
Context :
{'text': '... matrix (though apparently dividing the th line can help reducing errors). After f...', 'offset': 43, 'length': 2}



The verb 'help' is used with infinitive: "to reduce" or "reduce".
Replacements :
[{'value': 'to reduce'}, {'value': 'reduce'}]
Context :
{'text': '...pparently dividing the th line can help reducing errors). After finding a solution, it i...', 'offset': 43, 'length': 8}



The verb 'can' requires the base form of the verb: "use"
Replacements :
[{'value': 'use'}]
Context :
{'text': '...lving SLAE in some module, we can still used the described algorithm. However, in ca...', 'offset': 43, 'length': 4}



Possible spelling mistake found
Replacements :
[{'value': 'bit wise'}]
Context :
{'text': '...elimination much more effectively using bitwise operations and C++ bitset data types:  ...', 'offset': 43, 'length': 7}



Possible spelling mistake found
Replacements :
[{'value': 'BITNET'}, {'value': 'bit set'}]
Context :
{'text': '...tively using bitwise operations and C++ bitset data types:  Since we use bit compress,...', 'offset': 43, 'length': 6}



If this is used as a verb, it usually requires the infinitive: "to pivot".
Replacements :
[{'value': 'to pivot'}]
Context :
{'text': '... about different heuristics of choosing pivoting row  There is no general rule for what ...', 'offset': 43, 'length': 8}



Possible spelling mistake found
Replacements :
[{'value': 'among st'}]
Context :
{'text': '...ing" - where the pivoting row is search amongst all elements of the whose submatrix (fr...', 'offset': 43, 'length': 7}



Possible spelling mistake found
Replacements :
[{'value': 'Spot'}]
Context :
{'text': '...in the first step.  Practice Problems   Spoj - Xor maximisation Codechef - Knight Mo...', 'offset': 43, 'length': 4}



Possible spelling mistake found
Replacements :
[{'value': 'maximization'}]
Context :
{'text': '...t step.  Practice Problems   Spoj - Xor maximisation Codechef - Knight Moving Lightoj - Grap...', 'offset': 43, 'length': 12}



Possible spelling mistake found
Replacements :
[{'value': 'Light'}, {'value': 'Lift'}, {'value': 'Lights'}, {'value': 'Lifted'}, {'value': 'Lighter'}, {'value': 'Lifts'}, {'value': 'Lightly'}, {'value': 'Lighted'}, {'value': 'Lighten'}, {'value': 'Lifter'}, {'value': 'Liftoff'}, {'value': 'Righto'}]
Context :
{'text': '...r maximisation Codechef - Knight Moving Lightoj - Graph Coloring  ', 'offset': 43, 'length': 7}

Additional Info : Pull Request Merged


Counter : 9
Github URL : https://github.com/e-maxx-eng/e-maxx-eng
Translation project page : Github Only
Bug Description : Grammar error (We can still used should be We can still use)
Command : langTool check en-US linear-system-gauss.md
Output :

Possible spelling mistake found
Replacements :
[{'value': 'km'}, {'value': 'FM'}, {'value': 'am'}, {'value': 'cm'}, {'value': 'mm'}, {'value': 'PM'}, {'value': 'pm'}, {'value': 'XML'}, {'value': 'um'}, {'value': 'gm'}, {'value': 'GM'}, {'value': 'AM'}, {'value': 'Am'}, {'value': 'BM'}, {'value': 'Cm'}, {'value': 'EM'}, {'value': 'Fm'}, {'value': 'HM'}, {'value': 'M'}, {'value': 'MM'}, {'value': 'NM'}, {'value': 'Pm'}, {'value': 'QM'}, {'value': 'Sm'}, {'value': 'TM'}, {'value': 'Tm'}, {'value': 'Wm'}, {'value': 'X'}, {'value': 'XL'}, {'value': 'XS'}, {'value': 'Xe'}, {'value': 'Xi'}, {'value': 'em'}, {'value': 'm'}, {'value': 'om'}, {'value': 'rm'}, {'value': 'x'}, {'value': 'xi'}, {'value': 'xv'}, {'value': 'xx'}, {'value': 'x m'}]
Context :
{'text': '...m:  a{11} x1 + a{12} x2 + \\dots + a{1m} xm = b1 a{21} x1 + a{22} x2 + \\dots + a{2m...', 'offset': 43, 'length': 2}



Possible spelling mistake found
Replacements :
[{'value': 'km'}, {'value': 'FM'}, {'value': 'am'}, {'value': 'cm'}, {'value': 'mm'}, {'value': 'PM'}, {'value': 'pm'}, {'value': 'XML'}, {'value': 'um'}, {'value': 'gm'}, {'value': 'GM'}, {'value': 'AM'}, {'value': 'Am'}, {'value': 'BM'}, {'value': 'Cm'}, {'value': 'EM'}, {'value': 'Fm'}, {'value': 'HM'}, {'value': 'M'}, {'value': 'MM'}, {'value': 'NM'}, {'value': 'Pm'}, {'value': 'QM'}, {'value': 'Sm'}, {'value': 'TM'}, {'value': 'Tm'}, {'value': 'Wm'}, {'value': 'X'}, {'value': 'XL'}, {'value': 'XS'}, {'value': 'Xe'}, {'value': 'Xi'}, {'value': 'em'}, {'value': 'm'}, {'value': 'om'}, {'value': 'rm'}, {'value': 'x'}, {'value': 'xi'}, {'value': 'xv'}, {'value': 'xx'}, {'value': 'x m'}]
Context :
{'text': '... b1 a{21} x1 + a{22} x2 + \\dots + a{2m} xm = b2 \\dots a{n1} x1 + a{n2} x2 + \\dots ...', 'offset': 43, 'length': 2}



Possible spelling mistake found
Replacements :
[{'value': 'NM'}, {'value': 'no'}, {'value': 'km'}, {'value': 'FM'}, {'value': 'am'}, {'value': 'cm'}, {'value': 'mm'}, {'value': 'PM'}, {'value': 'pm'}, {'value': 'NP'}, {'value': 'nu'}, {'value': 'Nam'}, {'value': 'um'}, {'value': 'NY'}, {'value': 'gm'}, {'value': 'GM'}, {'value': 'AM'}, {'value': 'Am'}, {'value': 'BM'}, {'value': 'Cm'}, {'value': 'EM'}, {'value': 'Fm'}, {'value': 'HM'}, {'value': 'M'}, {'value': 'MM'}, {'value': 'N'}, {'value': 'NB'}, {'value': 'NC'}, {'value': 'ND'}, {'value': 'NE'}, {'value': 'NF'}, {'value': 'NH'}, {'value': 'NJ'}, {'value': 'NR'}, {'value': 'NS'}, {'value': 'NT'}, {'value': 'NV'}, {'value': 'NW'}, {'value': 'NZ'}, {'value': 'Na'}, {'value': 'Nb'}, {'value': 'Nd'}, {'value': 'Ne'}, {'value': 'Ni'}, {'value': 'No'}, {'value': 'Np'}, {'value': 'Pm'}, {'value': 'QM'}, {'value': 'Sm'}, {'value': 'TM'}, {'value': 'Tm'}, {'value': 'Wm'}, {'value': 'em'}, {'value': 'm'}, {'value': 'n'}, {'value': 'ne'}, {'value': 'om'}, {'value': 'rm'}, {'value': 'n m'}]
Context :
{'text': '...2 \\dots a{n1} x1 + a{n2} x2 + \\dots + a{nm} xm = b_n  where the coefficients  (for...', 'offset': 43, 'length': 2}



Possible spelling mistake found
Replacements :
[{'value': 'km'}, {'value': 'FM'}, {'value': 'am'}, {'value': 'cm'}, {'value': 'mm'}, {'value': 'PM'}, {'value': 'pm'}, {'value': 'XML'}, {'value': 'um'}, {'value': 'gm'}, {'value': 'GM'}, {'value': 'AM'}, {'value': 'Am'}, {'value': 'BM'}, {'value': 'Cm'}, {'value': 'EM'}, {'value': 'Fm'}, {'value': 'HM'}, {'value': 'M'}, {'value': 'MM'}, {'value': 'NM'}, {'value': 'Pm'}, {'value': 'QM'}, {'value': 'Sm'}, {'value': 'TM'}, {'value': 'Tm'}, {'value': 'Wm'}, {'value': 'X'}, {'value': 'XL'}, {'value': 'XS'}, {'value': 'Xe'}, {'value': 'Xi'}, {'value': 'em'}, {'value': 'm'}, {'value': 'om'}, {'value': 'rm'}, {'value': 'x'}, {'value': 'xi'}, {'value': 'xv'}, {'value': 'xx'}, {'value': 'x m'}]
Context :
{'text': '...ots a{n1} x1 + a{n2} x2 + \\dots + a{nm} xm = b_n  where the coefficients  (for  fr...', 'offset': 43, 'length': 2}



Possible spelling mistake found
Replacements :
[{'value': 'ban'}, {'value': 'Ben'}, {'value': 'bin'}, {'value': 'bun'}]
Context :
{'text': '...{n1} x1 + a{n2} x2 + \\dots + a{nm} xm = b_n  where the coefficients  (for  from 1 t...', 'offset': 43, 'length': 3}



This sentence does not start with an uppercase letter
Replacements :
[{'value': 'Where'}]
Context :
{'text': '...x1 + a{n2} x2 + \\dots + a{nm} xm = b_n  where the coefficients  (for  from 1 to ,  fr...', 'offset': 43, 'length': 5}



Possible spelling mistake found
Replacements :
[{'value': 'km'}, {'value': 'FM'}, {'value': 'am'}, {'value': 'cm'}, {'value': 'mm'}, {'value': 'PM'}, {'value': 'pm'}, {'value': 'XML'}, {'value': 'um'}, {'value': 'gm'}, {'value': 'GM'}, {'value': 'AM'}, {'value': 'Am'}, {'value': 'BM'}, {'value': 'Cm'}, {'value': 'EM'}, {'value': 'Fm'}, {'value': 'HM'}, {'value': 'M'}, {'value': 'MM'}, {'value': 'NM'}, {'value': 'Pm'}, {'value': 'QM'}, {'value': 'Sm'}, {'value': 'TM'}, {'value': 'Tm'}, {'value': 'Wm'}, {'value': 'X'}, {'value': 'XL'}, {'value': 'XS'}, {'value': 'Xe'}, {'value': 'Xi'}, {'value': 'em'}, {'value': 'm'}, {'value': 'om'}, {'value': 'rm'}, {'value': 'x'}, {'value': 'xi'}, {'value': 'xv'}, {'value': 'xx'}, {'value': 'x m'}]
Context :
{'text': '....:  a{11} x1 + a{12} x2 + \\dots + a{1m} xm \\equiv b1 \\pmod p a{21} x1 + a{22} x2 +...', 'offset': 43, 'length': 2}



Possible spelling mistake found
Replacements :
[{'value': 'mod'}, {'value': 'pod'}, {'value': 'prod'}, {'value': 'plod'}, {'value': 'PMed'}, {'value': 'p mod'}]
Context :
{'text': '... a{12} x2 + \\dots + a{1m} xm \\equiv b1 \\pmod p a{21} x1 + a{22} x2 + \\dots + a{2m} x...', 'offset': 43, 'length': 4}



Possible spelling mistake found
Replacements :
[{'value': 'km'}, {'value': 'FM'}, {'value': 'am'}, {'value': 'cm'}, {'value': 'mm'}, {'value': 'PM'}, {'value': 'pm'}, {'value': 'XML'}, {'value': 'um'}, {'value': 'gm'}, {'value': 'GM'}, {'value': 'AM'}, {'value': 'Am'}, {'value': 'BM'}, {'value': 'Cm'}, {'value': 'EM'}, {'value': 'Fm'}, {'value': 'HM'}, {'value': 'M'}, {'value': 'MM'}, {'value': 'NM'}, {'value': 'Pm'}, {'value': 'QM'}, {'value': 'Sm'}, {'value': 'TM'}, {'value': 'Tm'}, {'value': 'Wm'}, {'value': 'X'}, {'value': 'XL'}, {'value': 'XS'}, {'value': 'Xe'}, {'value': 'Xi'}, {'value': 'em'}, {'value': 'm'}, {'value': 'om'}, {'value': 'rm'}, {'value': 'x'}, {'value': 'xi'}, {'value': 'xv'}, {'value': 'xx'}, {'value': 'x m'}]
Context :
{'text': '...d p a{21} x1 + a{22} x2 + \\dots + a{2m} xm \\equiv b2 \\pmod p \\dots a{n1} x1 + a{n2...', 'offset': 43, 'length': 2}



Possible spelling mistake found
Replacements :
[{'value': 'mod'}, {'value': 'pod'}, {'value': 'prod'}, {'value': 'plod'}, {'value': 'PMed'}, {'value': 'p mod'}]
Context :
{'text': '... a{22} x2 + \\dots + a{2m} xm \\equiv b2 \\pmod p \\dots a{n1} x1 + a{n2} x2 + \\dots + a...', 'offset': 43, 'length': 4}



Possible spelling mistake found
Replacements :
[{'value': 'NM'}, {'value': 'no'}, {'value': 'km'}, {'value': 'FM'}, {'value': 'am'}, {'value': 'cm'}, {'value': 'mm'}, {'value': 'PM'}, {'value': 'pm'}, {'value': 'NP'}, {'value': 'nu'}, {'value': 'Nam'}, {'value': 'um'}, {'value': 'NY'}, {'value': 'gm'}, {'value': 'GM'}, {'value': 'AM'}, {'value': 'Am'}, {'value': 'BM'}, {'value': 'Cm'}, {'value': 'EM'}, {'value': 'Fm'}, {'value': 'HM'}, {'value': 'M'}, {'value': 'MM'}, {'value': 'N'}, {'value': 'NB'}, {'value': 'NC'}, {'value': 'ND'}, {'value': 'NE'}, {'value': 'NF'}, {'value': 'NH'}, {'value': 'NJ'}, {'value': 'NR'}, {'value': 'NS'}, {'value': 'NT'}, {'value': 'NV'}, {'value': 'NW'}, {'value': 'NZ'}, {'value': 'Na'}, {'value': 'Nb'}, {'value': 'Nd'}, {'value': 'Ne'}, {'value': 'Ni'}, {'value': 'No'}, {'value': 'Np'}, {'value': 'Pm'}, {'value': 'QM'}, {'value': 'Sm'}, {'value': 'TM'}, {'value': 'Tm'}, {'value': 'Wm'}, {'value': 'em'}, {'value': 'm'}, {'value': 'n'}, {'value': 'ne'}, {'value': 'om'}, {'value': 'rm'}, {'value': 'n m'}]
Context :
{'text': '...p \\dots a{n1} x1 + a{n2} x2 + \\dots + a{nm} xm \\equiv b_n \\pmod p  Gauss  Strictly...', 'offset': 43, 'length': 2}



Possible spelling mistake found
Replacements :
[{'value': 'km'}, {'value': 'FM'}, {'value': 'am'}, {'value': 'cm'}, {'value': 'mm'}, {'value': 'PM'}, {'value': 'pm'}, {'value': 'XML'}, {'value': 'um'}, {'value': 'gm'}, {'value': 'GM'}, {'value': 'AM'}, {'value': 'Am'}, {'value': 'BM'}, {'value': 'Cm'}, {'value': 'EM'}, {'value': 'Fm'}, {'value': 'HM'}, {'value': 'M'}, {'value': 'MM'}, {'value': 'NM'}, {'value': 'Pm'}, {'value': 'QM'}, {'value': 'Sm'}, {'value': 'TM'}, {'value': 'Tm'}, {'value': 'Wm'}, {'value': 'X'}, {'value': 'XL'}, {'value': 'XS'}, {'value': 'Xe'}, {'value': 'Xi'}, {'value': 'em'}, {'value': 'm'}, {'value': 'om'}, {'value': 'rm'}, {'value': 'x'}, {'value': 'xi'}, {'value': 'xv'}, {'value': 'xx'}, {'value': 'x m'}]
Context :
{'text': '...ots a{n1} x1 + a{n2} x2 + \\dots + a{nm} xm \\equiv b_n \\pmod p  Gauss  Strictly spe...', 'offset': 43, 'length': 2}



Possible spelling mistake found
Replacements :
[{'value': 'ban'}, {'value': 'Ben'}, {'value': 'bin'}, {'value': 'bun'}]
Context :
{'text': '...x1 + a{n2} x2 + \\dots + a{nm} xm \\equiv b_n \\pmod p  Gauss  Strictly speaking, the ...', 'offset': 43, 'length': 3}



Possible spelling mistake found
Replacements :
[{'value': 'mod'}, {'value': 'pod'}, {'value': 'prod'}, {'value': 'plod'}, {'value': 'PMed'}, {'value': 'p mod'}]
Context :
{'text': '...a{n2} x2 + \\dots + a{nm} xm \\equiv b_n \\pmod p  Gauss  Strictly speaking, the method...', 'offset': 43, 'length': 4}



Possible spelling mistake found
Replacements :
[{'value': 'nth'}, {'value': 'Th'}]
Context :
{'text': '...sense, it behaves as if vector  was the -th column of matrix .  As a result, after ...', 'offset': 43, 'length': 3}



The verb 'will' requires the base form of the verb: "consist"
Replacements :
[{'value': 'consist'}]
Context :
{'text': '... step, the first column of matrix  will consists of  on the first row, and  in other row...', 'offset': 43, 'length': 8}



Possible spelling mistake found
Replacements :
[{'value': 'Th'}, {'value': 'the'}, {'value': 'to'}, {'value': 'tho'}, {'value': 'oh'}, {'value': 'pH'}, {'value': 'TV'}, {'value': 'ta'}, {'value': 'thy'}, {'value': 'THC'}, {'value': 'ah'}, {'value': 'sh'}, {'value': 'eh'}, {'value': 'ts'}, {'value': 'uh'}, {'value': 'nth'}, {'value': 'TD'}, {'value': 'Ch'}, {'value': 'DH'}, {'value': 'H'}, {'value': 'NH'}, {'value': 'OH'}, {'value': 'Rh'}, {'value': 'T'}, {'value': 'TA'}, {'value': 'TB'}, {'value': 'TM'}, {'value': 'TN'}, {'value': 'TX'}, {'value': 'Ta'}, {'value': 'Tb'}, {'value': 'Tc'}, {'value': 'Te'}, {'value': 'Thu'}, {'value': 'Ti'}, {'value': 'Tl'}, {'value': 'Tm'}, {'value': 'Tu'}, {'value': 'Ty'}, {'value': 'ch'}, {'value': 'h'}, {'value': 'ht'}, {'value': 't'}, {'value': 'ti'}, {'value': 'tn'}, {'value': 'tr'}, {'value': 't h'}]
Context :
{'text': '...ed scheme left out many details. At the th step, if  is zero, we cannot apply dire...', 'offset': 43, 'length': 2}



Possible spelling mistake found
Replacements :
[{'value': 'Th'}, {'value': 'the'}, {'value': 'to'}, {'value': 'tho'}, {'value': 'oh'}, {'value': 'pH'}, {'value': 'TV'}, {'value': 'ta'}, {'value': 'thy'}, {'value': 'THC'}, {'value': 'ah'}, {'value': 'sh'}, {'value': 'eh'}, {'value': 'ts'}, {'value': 'uh'}, {'value': 'nth'}, {'value': 'TD'}, {'value': 'Ch'}, {'value': 'DH'}, {'value': 'H'}, {'value': 'NH'}, {'value': 'OH'}, {'value': 'Rh'}, {'value': 'T'}, {'value': 'TA'}, {'value': 'TB'}, {'value': 'TM'}, {'value': 'TN'}, {'value': 'TX'}, {'value': 'Ta'}, {'value': 'Tb'}, {'value': 'Tc'}, {'value': 'Te'}, {'value': 'Thu'}, {'value': 'Ti'}, {'value': 'Tl'}, {'value': 'Tm'}, {'value': 'Tu'}, {'value': 'Ty'}, {'value': 'ch'}, {'value': 'h'}, {'value': 'ht'}, {'value': 't'}, {'value': 'ti'}, {'value': 'tn'}, {'value': 'tr'}, {'value': 't h'}]
Context :
{'text': '...w: find one row of the matrix where the th column is non-zero, and then swap the t...', 'offset': 43, 'length': 2}



Possible agreement error. The noun implementation seems to be countable; consider using: "many implementations".
Replacements :
[{'value': 'many implementations'}]
Context :
{'text': '...swapping rows is much easier to do.  In many implementation, when , you can see people still swap t...', 'offset': 43, 'length': 19}



Possible spelling mistake found
Replacements :
[{'value': 'Th'}, {'value': 'the'}, {'value': 'to'}, {'value': 'tho'}, {'value': 'oh'}, {'value': 'pH'}, {'value': 'TV'}, {'value': 'ta'}, {'value': 'thy'}, {'value': 'THC'}, {'value': 'ah'}, {'value': 'sh'}, {'value': 'eh'}, {'value': 'ts'}, {'value': 'uh'}, {'value': 'nth'}, {'value': 'TD'}, {'value': 'Ch'}, {'value': 'DH'}, {'value': 'H'}, {'value': 'NH'}, {'value': 'OH'}, {'value': 'Rh'}, {'value': 'T'}, {'value': 'TA'}, {'value': 'TB'}, {'value': 'TM'}, {'value': 'TN'}, {'value': 'TX'}, {'value': 'Ta'}, {'value': 'Tb'}, {'value': 'Tc'}, {'value': 'Te'}, {'value': 'Thu'}, {'value': 'Ti'}, {'value': 'Tl'}, {'value': 'Tm'}, {'value': 'Tu'}, {'value': 'Ty'}, {'value': 'ch'}, {'value': 'h'}, {'value': 'ht'}, {'value': 't'}, {'value': 'ti'}, {'value': 'tn'}, {'value': 'tr'}, {'value': 't h'}]
Context :
{'text': '...hen , you can see people still swap the th row with some pivoting row, using some ...', 'offset': 43, 'length': 2}



Possible spelling mistake found
Replacements :
[{'value': 'Th'}, {'value': 'the'}, {'value': 'to'}, {'value': 'tho'}, {'value': 'oh'}, {'value': 'pH'}, {'value': 'TV'}, {'value': 'ta'}, {'value': 'thy'}, {'value': 'THC'}, {'value': 'ah'}, {'value': 'sh'}, {'value': 'eh'}, {'value': 'ts'}, {'value': 'uh'}, {'value': 'nth'}, {'value': 'TD'}, {'value': 'Ch'}, {'value': 'DH'}, {'value': 'H'}, {'value': 'NH'}, {'value': 'OH'}, {'value': 'Rh'}, {'value': 'T'}, {'value': 'TA'}, {'value': 'TB'}, {'value': 'TM'}, {'value': 'TN'}, {'value': 'TX'}, {'value': 'Ta'}, {'value': 'Tb'}, {'value': 'Tc'}, {'value': 'Te'}, {'value': 'Thu'}, {'value': 'Ti'}, {'value': 'Tl'}, {'value': 'Tm'}, {'value': 'Tu'}, {'value': 'Ty'}, {'value': 'ch'}, {'value': 'h'}, {'value': 'ht'}, {'value': 't'}, {'value': 'ti'}, {'value': 'tn'}, {'value': 'tr'}, {'value': 't h'}]
Context :
{'text': '...In these cases, the pivoting element in th step may not be found. This means that ...', 'offset': 43, 'length': 2}



Possible spelling mistake found
Replacements :
[{'value': 'Th'}, {'value': 'the'}, {'value': 'to'}, {'value': 'tho'}, {'value': 'oh'}, {'value': 'pH'}, {'value': 'TV'}, {'value': 'ta'}, {'value': 'thy'}, {'value': 'THC'}, {'value': 'ah'}, {'value': 'sh'}, {'value': 'eh'}, {'value': 'ts'}, {'value': 'uh'}, {'value': 'nth'}, {'value': 'TD'}, {'value': 'Ch'}, {'value': 'DH'}, {'value': 'H'}, {'value': 'NH'}, {'value': 'OH'}, {'value': 'Rh'}, {'value': 'T'}, {'value': 'TA'}, {'value': 'TB'}, {'value': 'TM'}, {'value': 'TN'}, {'value': 'TX'}, {'value': 'Ta'}, {'value': 'Tb'}, {'value': 'Tc'}, {'value': 'Te'}, {'value': 'Thu'}, {'value': 'Ti'}, {'value': 'Tl'}, {'value': 'Tm'}, {'value': 'Tu'}, {'value': 'Ty'}, {'value': 'ch'}, {'value': 'h'}, {'value': 'ht'}, {'value': 't'}, {'value': 'ti'}, {'value': 'tn'}, {'value': 'tr'}, {'value': 't h'}]
Context :
{'text': '...ay not be found. This means that on the th column, starting from the current line,...', 'offset': 43, 'length': 2}



Possible spelling mistake found
Replacements :
[{'value': 'Th'}, {'value': 'the'}, {'value': 'to'}, {'value': 'tho'}, {'value': 'oh'}, {'value': 'pH'}, {'value': 'TV'}, {'value': 'ta'}, {'value': 'thy'}, {'value': 'THC'}, {'value': 'ah'}, {'value': 'sh'}, {'value': 'eh'}, {'value': 'ts'}, {'value': 'uh'}, {'value': 'nth'}, {'value': 'TD'}, {'value': 'Ch'}, {'value': 'DH'}, {'value': 'H'}, {'value': 'NH'}, {'value': 'OH'}, {'value': 'Rh'}, {'value': 'T'}, {'value': 'TA'}, {'value': 'TB'}, {'value': 'TM'}, {'value': 'TN'}, {'value': 'TX'}, {'value': 'Ta'}, {'value': 'Tb'}, {'value': 'Tc'}, {'value': 'Te'}, {'value': 'Thu'}, {'value': 'Ti'}, {'value': 'Tl'}, {'value': 'Tm'}, {'value': 'Tu'}, {'value': 'Ty'}, {'value': 'ch'}, {'value': 'h'}, {'value': 'ht'}, {'value': 't'}, {'value': 'ti'}, {'value': 'tn'}, {'value': 'tr'}, {'value': 't h'}]
Context :
{'text': '... subsequent variables and just skip the th column (this is equivalent to removing ...', 'offset': 43, 'length': 2}



Possible spelling mistake found
Replacements :
[{'value': 'Th'}, {'value': 'the'}, {'value': 'to'}, {'value': 'tho'}, {'value': 'oh'}, {'value': 'pH'}, {'value': 'TV'}, {'value': 'ta'}, {'value': 'thy'}, {'value': 'THC'}, {'value': 'ah'}, {'value': 'sh'}, {'value': 'eh'}, {'value': 'ts'}, {'value': 'uh'}, {'value': 'nth'}, {'value': 'TD'}, {'value': 'Ch'}, {'value': 'DH'}, {'value': 'H'}, {'value': 'NH'}, {'value': 'OH'}, {'value': 'Rh'}, {'value': 'T'}, {'value': 'TA'}, {'value': 'TB'}, {'value': 'TM'}, {'value': 'TN'}, {'value': 'TX'}, {'value': 'Ta'}, {'value': 'Tb'}, {'value': 'Tc'}, {'value': 'Te'}, {'value': 'Thu'}, {'value': 'Ti'}, {'value': 'Tl'}, {'value': 'Tm'}, {'value': 'Tu'}, {'value': 'Ty'}, {'value': 'ch'}, {'value': 'h'}, {'value': 'ht'}, {'value': 't'}, {'value': 'ti'}, {'value': 'tn'}, {'value': 'tr'}, {'value': 't h'}]
Context :
{'text': '...umn (this is equivalent to removing the th column of the matrix).  So, some of the...', 'offset': 43, 'length': 2}



Consider using "some".
Replacements :
[{'value': 'some'}]
Context :
{'text': '...ving the th column of the matrix).  So, some of the variables in the process can be found t...', 'offset': 43, 'length': 11}



The pronoun 'they' must be used with a non-third-person form of a verb: "satisfy"
Replacements :
[{'value': 'satisfy'}]
Context :
{'text': '...n to the original SLAE to check if they satisfies.  Implementation  Following is an imple...', 'offset': 43, 'length': 9}



Possible spelling mistake found
Replacements :
[{'value': 'Gauss'}]
Context :
{'text': '...rent column.  The input to the function gauss is the system matrix . The last column ...', 'offset': 43, 'length': 5}



Possible spelling mistake found
Replacements :
[{'value': 'Th'}, {'value': 'the'}, {'value': 'to'}, {'value': 'tho'}, {'value': 'oh'}, {'value': 'pH'}, {'value': 'TV'}, {'value': 'ta'}, {'value': 'thy'}, {'value': 'THC'}, {'value': 'ah'}, {'value': 'sh'}, {'value': 'eh'}, {'value': 'ts'}, {'value': 'uh'}, {'value': 'nth'}, {'value': 'TD'}, {'value': 'Ch'}, {'value': 'DH'}, {'value': 'H'}, {'value': 'NH'}, {'value': 'OH'}, {'value': 'Rh'}, {'value': 'T'}, {'value': 'TA'}, {'value': 'TB'}, {'value': 'TM'}, {'value': 'TN'}, {'value': 'TX'}, {'value': 'Ta'}, {'value': 'Tb'}, {'value': 'Tc'}, {'value': 'Te'}, {'value': 'Thu'}, {'value': 'Ti'}, {'value': 'Tl'}, {'value': 'Tm'}, {'value': 'Tu'}, {'value': 'Ty'}, {'value': 'ch'}, {'value': 'h'}, {'value': 'ht'}, {'value': 't'}, {'value': 'ti'}, {'value': 'tn'}, {'value': 'tr'}, {'value': 't h'}]
Context :
{'text': '...nt. In this implementation, the current th line is not divided by  as described ab...', 'offset': 43, 'length': 2}



Possible spelling mistake found
Replacements :
[{'value': 'Th'}, {'value': 'the'}, {'value': 'to'}, {'value': 'tho'}, {'value': 'oh'}, {'value': 'pH'}, {'value': 'TV'}, {'value': 'ta'}, {'value': 'thy'}, {'value': 'THC'}, {'value': 'ah'}, {'value': 'sh'}, {'value': 'eh'}, {'value': 'ts'}, {'value': 'uh'}, {'value': 'nth'}, {'value': 'TD'}, {'value': 'Ch'}, {'value': 'DH'}, {'value': 'H'}, {'value': 'NH'}, {'value': 'OH'}, {'value': 'Rh'}, {'value': 'T'}, {'value': 'TA'}, {'value': 'TB'}, {'value': 'TM'}, {'value': 'TN'}, {'value': 'TX'}, {'value': 'Ta'}, {'value': 'Tb'}, {'value': 'Tc'}, {'value': 'Te'}, {'value': 'Thu'}, {'value': 'Ti'}, {'value': 'Tl'}, {'value': 'Tm'}, {'value': 'Tu'}, {'value': 'Ty'}, {'value': 'ch'}, {'value': 'h'}, {'value': 'ht'}, {'value': 't'}, {'value': 'ti'}, {'value': 'tn'}, {'value': 'tr'}, {'value': 't h'}]
Context :
{'text': '... matrix (though apparently dividing the th line can help reducing errors). After f...', 'offset': 43, 'length': 2}



The verb 'help' is used with infinitive: "to reduce" or "reduce".
Replacements :
[{'value': 'to reduce'}, {'value': 'reduce'}]
Context :
{'text': '...pparently dividing the th line can help reducing errors). After finding a solution, it i...', 'offset': 43, 'length': 8}



The verb 'can' requires the base form of the verb: "use"
Replacements :
[{'value': 'use'}]
Context :
{'text': '...lving SLAE in some module, we can still used the described algorithm. However, in ca...', 'offset': 43, 'length': 4}



Possible spelling mistake found
Replacements :
[{'value': 'bit wise'}]
Context :
{'text': '...elimination much more effectively using bitwise operations and C++ bitset data types:  ...', 'offset': 43, 'length': 7}



Possible spelling mistake found
Replacements :
[{'value': 'BITNET'}, {'value': 'bit set'}]
Context :
{'text': '...tively using bitwise operations and C++ bitset data types:  Since we use bit compress,...', 'offset': 43, 'length': 6}



If this is used as a verb, it usually requires the infinitive: "to pivot".
Replacements :
[{'value': 'to pivot'}]
Context :
{'text': '... about different heuristics of choosing pivoting row  There is no general rule for what ...', 'offset': 43, 'length': 8}



Possible spelling mistake found
Replacements :
[{'value': 'among st'}]
Context :
{'text': '...ing" - where the pivoting row is search amongst all elements of the whose submatrix (fr...', 'offset': 43, 'length': 7}



Possible spelling mistake found
Replacements :
[{'value': 'Spot'}]
Context :
{'text': '...in the first step.  Practice Problems   Spoj - Xor maximisation Codechef - Knight Mo...', 'offset': 43, 'length': 4}



Possible spelling mistake found
Replacements :
[{'value': 'maximization'}]
Context :
{'text': '...t step.  Practice Problems   Spoj - Xor maximisation Codechef - Knight Moving Lightoj - Grap...', 'offset': 43, 'length': 12}



Possible spelling mistake found
Replacements :
[{'value': 'Light'}, {'value': 'Lift'}, {'value': 'Lights'}, {'value': 'Lifted'}, {'value': 'Lighter'}, {'value': 'Lifts'}, {'value': 'Lightly'}, {'value': 'Lighted'}, {'value': 'Lighten'}, {'value': 'Lifter'}, {'value': 'Liftoff'}, {'value': 'Righto'}]
Context :
{'text': '...r maximisation Codechef - Knight Moving Lightoj - Graph Coloring  ', 'offset': 43, 'length': 7}

Additional Info : Pull Request Merged


Counter : 10
Github URL : https://github.com/e-maxx-eng/e-maxx-eng
Translation project page : Github Only
Bug Description : Grammar error (maximisation should be Maximization)
Command : langTool check en-US linear-system-gauss.md
Output :

Possible spelling mistake found
Replacements :
[{'value': 'km'}, {'value': 'FM'}, {'value': 'am'}, {'value': 'cm'}, {'value': 'mm'}, {'value': 'PM'}, {'value': 'pm'}, {'value': 'XML'}, {'value': 'um'}, {'value': 'gm'}, {'value': 'GM'}, {'value': 'AM'}, {'value': 'Am'}, {'value': 'BM'}, {'value': 'Cm'}, {'value': 'EM'}, {'value': 'Fm'}, {'value': 'HM'}, {'value': 'M'}, {'value': 'MM'}, {'value': 'NM'}, {'value': 'Pm'}, {'value': 'QM'}, {'value': 'Sm'}, {'value': 'TM'}, {'value': 'Tm'}, {'value': 'Wm'}, {'value': 'X'}, {'value': 'XL'}, {'value': 'XS'}, {'value': 'Xe'}, {'value': 'Xi'}, {'value': 'em'}, {'value': 'm'}, {'value': 'om'}, {'value': 'rm'}, {'value': 'x'}, {'value': 'xi'}, {'value': 'xv'}, {'value': 'xx'}, {'value': 'x m'}]
Context :
{'text': '...m:  a{11} x1 + a{12} x2 + \\dots + a{1m} xm = b1 a{21} x1 + a{22} x2 + \\dots + a{2m...', 'offset': 43, 'length': 2}



Possible spelling mistake found
Replacements :
[{'value': 'km'}, {'value': 'FM'}, {'value': 'am'}, {'value': 'cm'}, {'value': 'mm'}, {'value': 'PM'}, {'value': 'pm'}, {'value': 'XML'}, {'value': 'um'}, {'value': 'gm'}, {'value': 'GM'}, {'value': 'AM'}, {'value': 'Am'}, {'value': 'BM'}, {'value': 'Cm'}, {'value': 'EM'}, {'value': 'Fm'}, {'value': 'HM'}, {'value': 'M'}, {'value': 'MM'}, {'value': 'NM'}, {'value': 'Pm'}, {'value': 'QM'}, {'value': 'Sm'}, {'value': 'TM'}, {'value': 'Tm'}, {'value': 'Wm'}, {'value': 'X'}, {'value': 'XL'}, {'value': 'XS'}, {'value': 'Xe'}, {'value': 'Xi'}, {'value': 'em'}, {'value': 'm'}, {'value': 'om'}, {'value': 'rm'}, {'value': 'x'}, {'value': 'xi'}, {'value': 'xv'}, {'value': 'xx'}, {'value': 'x m'}]
Context :
{'text': '... b1 a{21} x1 + a{22} x2 + \\dots + a{2m} xm = b2 \\dots a{n1} x1 + a{n2} x2 + \\dots ...', 'offset': 43, 'length': 2}



Possible spelling mistake found
Replacements :
[{'value': 'NM'}, {'value': 'no'}, {'value': 'km'}, {'value': 'FM'}, {'value': 'am'}, {'value': 'cm'}, {'value': 'mm'}, {'value': 'PM'}, {'value': 'pm'}, {'value': 'NP'}, {'value': 'nu'}, {'value': 'Nam'}, {'value': 'um'}, {'value': 'NY'}, {'value': 'gm'}, {'value': 'GM'}, {'value': 'AM'}, {'value': 'Am'}, {'value': 'BM'}, {'value': 'Cm'}, {'value': 'EM'}, {'value': 'Fm'}, {'value': 'HM'}, {'value': 'M'}, {'value': 'MM'}, {'value': 'N'}, {'value': 'NB'}, {'value': 'NC'}, {'value': 'ND'}, {'value': 'NE'}, {'value': 'NF'}, {'value': 'NH'}, {'value': 'NJ'}, {'value': 'NR'}, {'value': 'NS'}, {'value': 'NT'}, {'value': 'NV'}, {'value': 'NW'}, {'value': 'NZ'}, {'value': 'Na'}, {'value': 'Nb'}, {'value': 'Nd'}, {'value': 'Ne'}, {'value': 'Ni'}, {'value': 'No'}, {'value': 'Np'}, {'value': 'Pm'}, {'value': 'QM'}, {'value': 'Sm'}, {'value': 'TM'}, {'value': 'Tm'}, {'value': 'Wm'}, {'value': 'em'}, {'value': 'm'}, {'value': 'n'}, {'value': 'ne'}, {'value': 'om'}, {'value': 'rm'}, {'value': 'n m'}]
Context :
{'text': '...2 \\dots a{n1} x1 + a{n2} x2 + \\dots + a{nm} xm = b_n  where the coefficients  (for...', 'offset': 43, 'length': 2}



Possible spelling mistake found
Replacements :
[{'value': 'km'}, {'value': 'FM'}, {'value': 'am'}, {'value': 'cm'}, {'value': 'mm'}, {'value': 'PM'}, {'value': 'pm'}, {'value': 'XML'}, {'value': 'um'}, {'value': 'gm'}, {'value': 'GM'}, {'value': 'AM'}, {'value': 'Am'}, {'value': 'BM'}, {'value': 'Cm'}, {'value': 'EM'}, {'value': 'Fm'}, {'value': 'HM'}, {'value': 'M'}, {'value': 'MM'}, {'value': 'NM'}, {'value': 'Pm'}, {'value': 'QM'}, {'value': 'Sm'}, {'value': 'TM'}, {'value': 'Tm'}, {'value': 'Wm'}, {'value': 'X'}, {'value': 'XL'}, {'value': 'XS'}, {'value': 'Xe'}, {'value': 'Xi'}, {'value': 'em'}, {'value': 'm'}, {'value': 'om'}, {'value': 'rm'}, {'value': 'x'}, {'value': 'xi'}, {'value': 'xv'}, {'value': 'xx'}, {'value': 'x m'}]
Context :
{'text': '...ots a{n1} x1 + a{n2} x2 + \\dots + a{nm} xm = b_n  where the coefficients  (for  fr...', 'offset': 43, 'length': 2}



Possible spelling mistake found
Replacements :
[{'value': 'ban'}, {'value': 'Ben'}, {'value': 'bin'}, {'value': 'bun'}]
Context :
{'text': '...{n1} x1 + a{n2} x2 + \\dots + a{nm} xm = b_n  where the coefficients  (for  from 1 t...', 'offset': 43, 'length': 3}



This sentence does not start with an uppercase letter
Replacements :
[{'value': 'Where'}]
Context :
{'text': '...x1 + a{n2} x2 + \\dots + a{nm} xm = b_n  where the coefficients  (for  from 1 to ,  fr...', 'offset': 43, 'length': 5}



Possible spelling mistake found
Replacements :
[{'value': 'km'}, {'value': 'FM'}, {'value': 'am'}, {'value': 'cm'}, {'value': 'mm'}, {'value': 'PM'}, {'value': 'pm'}, {'value': 'XML'}, {'value': 'um'}, {'value': 'gm'}, {'value': 'GM'}, {'value': 'AM'}, {'value': 'Am'}, {'value': 'BM'}, {'value': 'Cm'}, {'value': 'EM'}, {'value': 'Fm'}, {'value': 'HM'}, {'value': 'M'}, {'value': 'MM'}, {'value': 'NM'}, {'value': 'Pm'}, {'value': 'QM'}, {'value': 'Sm'}, {'value': 'TM'}, {'value': 'Tm'}, {'value': 'Wm'}, {'value': 'X'}, {'value': 'XL'}, {'value': 'XS'}, {'value': 'Xe'}, {'value': 'Xi'}, {'value': 'em'}, {'value': 'm'}, {'value': 'om'}, {'value': 'rm'}, {'value': 'x'}, {'value': 'xi'}, {'value': 'xv'}, {'value': 'xx'}, {'value': 'x m'}]
Context :
{'text': '....:  a{11} x1 + a{12} x2 + \\dots + a{1m} xm \\equiv b1 \\pmod p a{21} x1 + a{22} x2 +...', 'offset': 43, 'length': 2}



Possible spelling mistake found
Replacements :
[{'value': 'mod'}, {'value': 'pod'}, {'value': 'prod'}, {'value': 'plod'}, {'value': 'PMed'}, {'value': 'p mod'}]
Context :
{'text': '... a{12} x2 + \\dots + a{1m} xm \\equiv b1 \\pmod p a{21} x1 + a{22} x2 + \\dots + a{2m} x...', 'offset': 43, 'length': 4}



Possible spelling mistake found
Replacements :
[{'value': 'km'}, {'value': 'FM'}, {'value': 'am'}, {'value': 'cm'}, {'value': 'mm'}, {'value': 'PM'}, {'value': 'pm'}, {'value': 'XML'}, {'value': 'um'}, {'value': 'gm'}, {'value': 'GM'}, {'value': 'AM'}, {'value': 'Am'}, {'value': 'BM'}, {'value': 'Cm'}, {'value': 'EM'}, {'value': 'Fm'}, {'value': 'HM'}, {'value': 'M'}, {'value': 'MM'}, {'value': 'NM'}, {'value': 'Pm'}, {'value': 'QM'}, {'value': 'Sm'}, {'value': 'TM'}, {'value': 'Tm'}, {'value': 'Wm'}, {'value': 'X'}, {'value': 'XL'}, {'value': 'XS'}, {'value': 'Xe'}, {'value': 'Xi'}, {'value': 'em'}, {'value': 'm'}, {'value': 'om'}, {'value': 'rm'}, {'value': 'x'}, {'value': 'xi'}, {'value': 'xv'}, {'value': 'xx'}, {'value': 'x m'}]
Context :
{'text': '...d p a{21} x1 + a{22} x2 + \\dots + a{2m} xm \\equiv b2 \\pmod p \\dots a{n1} x1 + a{n2...', 'offset': 43, 'length': 2}



Possible spelling mistake found
Replacements :
[{'value': 'mod'}, {'value': 'pod'}, {'value': 'prod'}, {'value': 'plod'}, {'value': 'PMed'}, {'value': 'p mod'}]
Context :
{'text': '... a{22} x2 + \\dots + a{2m} xm \\equiv b2 \\pmod p \\dots a{n1} x1 + a{n2} x2 + \\dots + a...', 'offset': 43, 'length': 4}



Possible spelling mistake found
Replacements :
[{'value': 'NM'}, {'value': 'no'}, {'value': 'km'}, {'value': 'FM'}, {'value': 'am'}, {'value': 'cm'}, {'value': 'mm'}, {'value': 'PM'}, {'value': 'pm'}, {'value': 'NP'}, {'value': 'nu'}, {'value': 'Nam'}, {'value': 'um'}, {'value': 'NY'}, {'value': 'gm'}, {'value': 'GM'}, {'value': 'AM'}, {'value': 'Am'}, {'value': 'BM'}, {'value': 'Cm'}, {'value': 'EM'}, {'value': 'Fm'}, {'value': 'HM'}, {'value': 'M'}, {'value': 'MM'}, {'value': 'N'}, {'value': 'NB'}, {'value': 'NC'}, {'value': 'ND'}, {'value': 'NE'}, {'value': 'NF'}, {'value': 'NH'}, {'value': 'NJ'}, {'value': 'NR'}, {'value': 'NS'}, {'value': 'NT'}, {'value': 'NV'}, {'value': 'NW'}, {'value': 'NZ'}, {'value': 'Na'}, {'value': 'Nb'}, {'value': 'Nd'}, {'value': 'Ne'}, {'value': 'Ni'}, {'value': 'No'}, {'value': 'Np'}, {'value': 'Pm'}, {'value': 'QM'}, {'value': 'Sm'}, {'value': 'TM'}, {'value': 'Tm'}, {'value': 'Wm'}, {'value': 'em'}, {'value': 'm'}, {'value': 'n'}, {'value': 'ne'}, {'value': 'om'}, {'value': 'rm'}, {'value': 'n m'}]
Context :
{'text': '...p \\dots a{n1} x1 + a{n2} x2 + \\dots + a{nm} xm \\equiv b_n \\pmod p  Gauss  Strictly...', 'offset': 43, 'length': 2}



Possible spelling mistake found
Replacements :
[{'value': 'km'}, {'value': 'FM'}, {'value': 'am'}, {'value': 'cm'}, {'value': 'mm'}, {'value': 'PM'}, {'value': 'pm'}, {'value': 'XML'}, {'value': 'um'}, {'value': 'gm'}, {'value': 'GM'}, {'value': 'AM'}, {'value': 'Am'}, {'value': 'BM'}, {'value': 'Cm'}, {'value': 'EM'}, {'value': 'Fm'}, {'value': 'HM'}, {'value': 'M'}, {'value': 'MM'}, {'value': 'NM'}, {'value': 'Pm'}, {'value': 'QM'}, {'value': 'Sm'}, {'value': 'TM'}, {'value': 'Tm'}, {'value': 'Wm'}, {'value': 'X'}, {'value': 'XL'}, {'value': 'XS'}, {'value': 'Xe'}, {'value': 'Xi'}, {'value': 'em'}, {'value': 'm'}, {'value': 'om'}, {'value': 'rm'}, {'value': 'x'}, {'value': 'xi'}, {'value': 'xv'}, {'value': 'xx'}, {'value': 'x m'}]
Context :
{'text': '...ots a{n1} x1 + a{n2} x2 + \\dots + a{nm} xm \\equiv b_n \\pmod p  Gauss  Strictly spe...', 'offset': 43, 'length': 2}



Possible spelling mistake found
Replacements :
[{'value': 'ban'}, {'value': 'Ben'}, {'value': 'bin'}, {'value': 'bun'}]
Context :
{'text': '...x1 + a{n2} x2 + \\dots + a{nm} xm \\equiv b_n \\pmod p  Gauss  Strictly speaking, the ...', 'offset': 43, 'length': 3}



Possible spelling mistake found
Replacements :
[{'value': 'mod'}, {'value': 'pod'}, {'value': 'prod'}, {'value': 'plod'}, {'value': 'PMed'}, {'value': 'p mod'}]
Context :
{'text': '...a{n2} x2 + \\dots + a{nm} xm \\equiv b_n \\pmod p  Gauss  Strictly speaking, the method...', 'offset': 43, 'length': 4}



Possible spelling mistake found
Replacements :
[{'value': 'nth'}, {'value': 'Th'}]
Context :
{'text': '...sense, it behaves as if vector  was the -th column of matrix .  As a result, after ...', 'offset': 43, 'length': 3}



The verb 'will' requires the base form of the verb: "consist"
Replacements :
[{'value': 'consist'}]
Context :
{'text': '... step, the first column of matrix  will consists of  on the first row, and  in other row...', 'offset': 43, 'length': 8}



Possible spelling mistake found
Replacements :
[{'value': 'Th'}, {'value': 'the'}, {'value': 'to'}, {'value': 'tho'}, {'value': 'oh'}, {'value': 'pH'}, {'value': 'TV'}, {'value': 'ta'}, {'value': 'thy'}, {'value': 'THC'}, {'value': 'ah'}, {'value': 'sh'}, {'value': 'eh'}, {'value': 'ts'}, {'value': 'uh'}, {'value': 'nth'}, {'value': 'TD'}, {'value': 'Ch'}, {'value': 'DH'}, {'value': 'H'}, {'value': 'NH'}, {'value': 'OH'}, {'value': 'Rh'}, {'value': 'T'}, {'value': 'TA'}, {'value': 'TB'}, {'value': 'TM'}, {'value': 'TN'}, {'value': 'TX'}, {'value': 'Ta'}, {'value': 'Tb'}, {'value': 'Tc'}, {'value': 'Te'}, {'value': 'Thu'}, {'value': 'Ti'}, {'value': 'Tl'}, {'value': 'Tm'}, {'value': 'Tu'}, {'value': 'Ty'}, {'value': 'ch'}, {'value': 'h'}, {'value': 'ht'}, {'value': 't'}, {'value': 'ti'}, {'value': 'tn'}, {'value': 'tr'}, {'value': 't h'}]
Context :
{'text': '...ed scheme left out many details. At the th step, if  is zero, we cannot apply dire...', 'offset': 43, 'length': 2}



Possible spelling mistake found
Replacements :
[{'value': 'Th'}, {'value': 'the'}, {'value': 'to'}, {'value': 'tho'}, {'value': 'oh'}, {'value': 'pH'}, {'value': 'TV'}, {'value': 'ta'}, {'value': 'thy'}, {'value': 'THC'}, {'value': 'ah'}, {'value': 'sh'}, {'value': 'eh'}, {'value': 'ts'}, {'value': 'uh'}, {'value': 'nth'}, {'value': 'TD'}, {'value': 'Ch'}, {'value': 'DH'}, {'value': 'H'}, {'value': 'NH'}, {'value': 'OH'}, {'value': 'Rh'}, {'value': 'T'}, {'value': 'TA'}, {'value': 'TB'}, {'value': 'TM'}, {'value': 'TN'}, {'value': 'TX'}, {'value': 'Ta'}, {'value': 'Tb'}, {'value': 'Tc'}, {'value': 'Te'}, {'value': 'Thu'}, {'value': 'Ti'}, {'value': 'Tl'}, {'value': 'Tm'}, {'value': 'Tu'}, {'value': 'Ty'}, {'value': 'ch'}, {'value': 'h'}, {'value': 'ht'}, {'value': 't'}, {'value': 'ti'}, {'value': 'tn'}, {'value': 'tr'}, {'value': 't h'}]
Context :
{'text': '...w: find one row of the matrix where the th column is non-zero, and then swap the t...', 'offset': 43, 'length': 2}



Possible agreement error. The noun implementation seems to be countable; consider using: "many implementations".
Replacements :
[{'value': 'many implementations'}]
Context :
{'text': '...swapping rows is much easier to do.  In many implementation, when , you can see people still swap t...', 'offset': 43, 'length': 19}



Possible spelling mistake found
Replacements :
[{'value': 'Th'}, {'value': 'the'}, {'value': 'to'}, {'value': 'tho'}, {'value': 'oh'}, {'value': 'pH'}, {'value': 'TV'}, {'value': 'ta'}, {'value': 'thy'}, {'value': 'THC'}, {'value': 'ah'}, {'value': 'sh'}, {'value': 'eh'}, {'value': 'ts'}, {'value': 'uh'}, {'value': 'nth'}, {'value': 'TD'}, {'value': 'Ch'}, {'value': 'DH'}, {'value': 'H'}, {'value': 'NH'}, {'value': 'OH'}, {'value': 'Rh'}, {'value': 'T'}, {'value': 'TA'}, {'value': 'TB'}, {'value': 'TM'}, {'value': 'TN'}, {'value': 'TX'}, {'value': 'Ta'}, {'value': 'Tb'}, {'value': 'Tc'}, {'value': 'Te'}, {'value': 'Thu'}, {'value': 'Ti'}, {'value': 'Tl'}, {'value': 'Tm'}, {'value': 'Tu'}, {'value': 'Ty'}, {'value': 'ch'}, {'value': 'h'}, {'value': 'ht'}, {'value': 't'}, {'value': 'ti'}, {'value': 'tn'}, {'value': 'tr'}, {'value': 't h'}]
Context :
{'text': '...hen , you can see people still swap the th row with some pivoting row, using some ...', 'offset': 43, 'length': 2}



Possible spelling mistake found
Replacements :
[{'value': 'Th'}, {'value': 'the'}, {'value': 'to'}, {'value': 'tho'}, {'value': 'oh'}, {'value': 'pH'}, {'value': 'TV'}, {'value': 'ta'}, {'value': 'thy'}, {'value': 'THC'}, {'value': 'ah'}, {'value': 'sh'}, {'value': 'eh'}, {'value': 'ts'}, {'value': 'uh'}, {'value': 'nth'}, {'value': 'TD'}, {'value': 'Ch'}, {'value': 'DH'}, {'value': 'H'}, {'value': 'NH'}, {'value': 'OH'}, {'value': 'Rh'}, {'value': 'T'}, {'value': 'TA'}, {'value': 'TB'}, {'value': 'TM'}, {'value': 'TN'}, {'value': 'TX'}, {'value': 'Ta'}, {'value': 'Tb'}, {'value': 'Tc'}, {'value': 'Te'}, {'value': 'Thu'}, {'value': 'Ti'}, {'value': 'Tl'}, {'value': 'Tm'}, {'value': 'Tu'}, {'value': 'Ty'}, {'value': 'ch'}, {'value': 'h'}, {'value': 'ht'}, {'value': 't'}, {'value': 'ti'}, {'value': 'tn'}, {'value': 'tr'}, {'value': 't h'}]
Context :
{'text': '...In these cases, the pivoting element in th step may not be found. This means that ...', 'offset': 43, 'length': 2}



Possible spelling mistake found
Replacements :
[{'value': 'Th'}, {'value': 'the'}, {'value': 'to'}, {'value': 'tho'}, {'value': 'oh'}, {'value': 'pH'}, {'value': 'TV'}, {'value': 'ta'}, {'value': 'thy'}, {'value': 'THC'}, {'value': 'ah'}, {'value': 'sh'}, {'value': 'eh'}, {'value': 'ts'}, {'value': 'uh'}, {'value': 'nth'}, {'value': 'TD'}, {'value': 'Ch'}, {'value': 'DH'}, {'value': 'H'}, {'value': 'NH'}, {'value': 'OH'}, {'value': 'Rh'}, {'value': 'T'}, {'value': 'TA'}, {'value': 'TB'}, {'value': 'TM'}, {'value': 'TN'}, {'value': 'TX'}, {'value': 'Ta'}, {'value': 'Tb'}, {'value': 'Tc'}, {'value': 'Te'}, {'value': 'Thu'}, {'value': 'Ti'}, {'value': 'Tl'}, {'value': 'Tm'}, {'value': 'Tu'}, {'value': 'Ty'}, {'value': 'ch'}, {'value': 'h'}, {'value': 'ht'}, {'value': 't'}, {'value': 'ti'}, {'value': 'tn'}, {'value': 'tr'}, {'value': 't h'}]
Context :
{'text': '...ay not be found. This means that on the th column, starting from the current line,...', 'offset': 43, 'length': 2}



Possible spelling mistake found
Replacements :
[{'value': 'Th'}, {'value': 'the'}, {'value': 'to'}, {'value': 'tho'}, {'value': 'oh'}, {'value': 'pH'}, {'value': 'TV'}, {'value': 'ta'}, {'value': 'thy'}, {'value': 'THC'}, {'value': 'ah'}, {'value': 'sh'}, {'value': 'eh'}, {'value': 'ts'}, {'value': 'uh'}, {'value': 'nth'}, {'value': 'TD'}, {'value': 'Ch'}, {'value': 'DH'}, {'value': 'H'}, {'value': 'NH'}, {'value': 'OH'}, {'value': 'Rh'}, {'value': 'T'}, {'value': 'TA'}, {'value': 'TB'}, {'value': 'TM'}, {'value': 'TN'}, {'value': 'TX'}, {'value': 'Ta'}, {'value': 'Tb'}, {'value': 'Tc'}, {'value': 'Te'}, {'value': 'Thu'}, {'value': 'Ti'}, {'value': 'Tl'}, {'value': 'Tm'}, {'value': 'Tu'}, {'value': 'Ty'}, {'value': 'ch'}, {'value': 'h'}, {'value': 'ht'}, {'value': 't'}, {'value': 'ti'}, {'value': 'tn'}, {'value': 'tr'}, {'value': 't h'}]
Context :
{'text': '... subsequent variables and just skip the th column (this is equivalent to removing ...', 'offset': 43, 'length': 2}



Possible spelling mistake found
Replacements :
[{'value': 'Th'}, {'value': 'the'}, {'value': 'to'}, {'value': 'tho'}, {'value': 'oh'}, {'value': 'pH'}, {'value': 'TV'}, {'value': 'ta'}, {'value': 'thy'}, {'value': 'THC'}, {'value': 'ah'}, {'value': 'sh'}, {'value': 'eh'}, {'value': 'ts'}, {'value': 'uh'}, {'value': 'nth'}, {'value': 'TD'}, {'value': 'Ch'}, {'value': 'DH'}, {'value': 'H'}, {'value': 'NH'}, {'value': 'OH'}, {'value': 'Rh'}, {'value': 'T'}, {'value': 'TA'}, {'value': 'TB'}, {'value': 'TM'}, {'value': 'TN'}, {'value': 'TX'}, {'value': 'Ta'}, {'value': 'Tb'}, {'value': 'Tc'}, {'value': 'Te'}, {'value': 'Thu'}, {'value': 'Ti'}, {'value': 'Tl'}, {'value': 'Tm'}, {'value': 'Tu'}, {'value': 'Ty'}, {'value': 'ch'}, {'value': 'h'}, {'value': 'ht'}, {'value': 't'}, {'value': 'ti'}, {'value': 'tn'}, {'value': 'tr'}, {'value': 't h'}]
Context :
{'text': '...umn (this is equivalent to removing the th column of the matrix).  So, some of the...', 'offset': 43, 'length': 2}



Consider using "some".
Replacements :
[{'value': 'some'}]
Context :
{'text': '...ving the th column of the matrix).  So, some of the variables in the process can be found t...', 'offset': 43, 'length': 11}



The pronoun 'they' must be used with a non-third-person form of a verb: "satisfy"
Replacements :
[{'value': 'satisfy'}]
Context :
{'text': '...n to the original SLAE to check if they satisfies.  Implementation  Following is an imple...', 'offset': 43, 'length': 9}



Possible spelling mistake found
Replacements :
[{'value': 'Gauss'}]
Context :
{'text': '...rent column.  The input to the function gauss is the system matrix . The last column ...', 'offset': 43, 'length': 5}



Possible spelling mistake found
Replacements :
[{'value': 'Th'}, {'value': 'the'}, {'value': 'to'}, {'value': 'tho'}, {'value': 'oh'}, {'value': 'pH'}, {'value': 'TV'}, {'value': 'ta'}, {'value': 'thy'}, {'value': 'THC'}, {'value': 'ah'}, {'value': 'sh'}, {'value': 'eh'}, {'value': 'ts'}, {'value': 'uh'}, {'value': 'nth'}, {'value': 'TD'}, {'value': 'Ch'}, {'value': 'DH'}, {'value': 'H'}, {'value': 'NH'}, {'value': 'OH'}, {'value': 'Rh'}, {'value': 'T'}, {'value': 'TA'}, {'value': 'TB'}, {'value': 'TM'}, {'value': 'TN'}, {'value': 'TX'}, {'value': 'Ta'}, {'value': 'Tb'}, {'value': 'Tc'}, {'value': 'Te'}, {'value': 'Thu'}, {'value': 'Ti'}, {'value': 'Tl'}, {'value': 'Tm'}, {'value': 'Tu'}, {'value': 'Ty'}, {'value': 'ch'}, {'value': 'h'}, {'value': 'ht'}, {'value': 't'}, {'value': 'ti'}, {'value': 'tn'}, {'value': 'tr'}, {'value': 't h'}]
Context :
{'text': '...nt. In this implementation, the current th line is not divided by  as described ab...', 'offset': 43, 'length': 2}



Possible spelling mistake found
Replacements :
[{'value': 'Th'}, {'value': 'the'}, {'value': 'to'}, {'value': 'tho'}, {'value': 'oh'}, {'value': 'pH'}, {'value': 'TV'}, {'value': 'ta'}, {'value': 'thy'}, {'value': 'THC'}, {'value': 'ah'}, {'value': 'sh'}, {'value': 'eh'}, {'value': 'ts'}, {'value': 'uh'}, {'value': 'nth'}, {'value': 'TD'}, {'value': 'Ch'}, {'value': 'DH'}, {'value': 'H'}, {'value': 'NH'}, {'value': 'OH'}, {'value': 'Rh'}, {'value': 'T'}, {'value': 'TA'}, {'value': 'TB'}, {'value': 'TM'}, {'value': 'TN'}, {'value': 'TX'}, {'value': 'Ta'}, {'value': 'Tb'}, {'value': 'Tc'}, {'value': 'Te'}, {'value': 'Thu'}, {'value': 'Ti'}, {'value': 'Tl'}, {'value': 'Tm'}, {'value': 'Tu'}, {'value': 'Ty'}, {'value': 'ch'}, {'value': 'h'}, {'value': 'ht'}, {'value': 't'}, {'value': 'ti'}, {'value': 'tn'}, {'value': 'tr'}, {'value': 't h'}]
Context :
{'text': '... matrix (though apparently dividing the th line can help reducing errors). After f...', 'offset': 43, 'length': 2}



The verb 'help' is used with infinitive: "to reduce" or "reduce".
Replacements :
[{'value': 'to reduce'}, {'value': 'reduce'}]
Context :
{'text': '...pparently dividing the th line can help reducing errors). After finding a solution, it i...', 'offset': 43, 'length': 8}



The verb 'can' requires the base form of the verb: "use"
Replacements :
[{'value': 'use'}]
Context :
{'text': '...lving SLAE in some module, we can still used the described algorithm. However, in ca...', 'offset': 43, 'length': 4}



Possible spelling mistake found
Replacements :
[{'value': 'bit wise'}]
Context :
{'text': '...elimination much more effectively using bitwise operations and C++ bitset data types:  ...', 'offset': 43, 'length': 7}



Possible spelling mistake found
Replacements :
[{'value': 'BITNET'}, {'value': 'bit set'}]
Context :
{'text': '...tively using bitwise operations and C++ bitset data types:  Since we use bit compress,...', 'offset': 43, 'length': 6}



If this is used as a verb, it usually requires the infinitive: "to pivot".
Replacements :
[{'value': 'to pivot'}]
Context :
{'text': '... about different heuristics of choosing pivoting row  There is no general rule for what ...', 'offset': 43, 'length': 8}



Possible spelling mistake found
Replacements :
[{'value': 'among st'}]
Context :
{'text': '...ing" - where the pivoting row is search amongst all elements of the whose submatrix (fr...', 'offset': 43, 'length': 7}



Possible spelling mistake found
Replacements :
[{'value': 'Spot'}]
Context :
{'text': '...in the first step.  Practice Problems   Spoj - Xor maximisation Codechef - Knight Mo...', 'offset': 43, 'length': 4}



Possible spelling mistake found
Replacements :
[{'value': 'maximization'}]
Context :
{'text': '...t step.  Practice Problems   Spoj - Xor maximisation Codechef - Knight Moving Lightoj - Grap...', 'offset': 43, 'length': 12}



Possible spelling mistake found
Replacements :
[{'value': 'Light'}, {'value': 'Lift'}, {'value': 'Lights'}, {'value': 'Lifted'}, {'value': 'Lighter'}, {'value': 'Lifts'}, {'value': 'Lightly'}, {'value': 'Lighted'}, {'value': 'Lighten'}, {'value': 'Lifter'}, {'value': 'Liftoff'}, {'value': 'Righto'}]
Context :
{'text': '...r maximisation Codechef - Knight Moving Lightoj - Graph Coloring  ', 'offset': 43, 'length': 7}

Additional Info : Pull Request Merged


Counter : 11
Github URL : https://github.com/e-maxx-eng/e-maxx-eng
Translation project page : Github Only
Bug Description : Spelling Error (mupltiplying should be multiplying)
Command : langTool check en-US binomial-coefficients.md
Output :

Possible spelling mistake found
Replacements :
[{'value': 'ordered'}, {'value': 'bordered'}, {'value': 'reordered'}]
Context :
{'text': '...of these elements (i.e., the numbers of unordered sets).   Binomial coefficients are also...', 'length': 9, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'in'}, {'value': 'on'}, {'value': 'an'}, {'value': 'Zn'}, {'value': 'IN'}, {'value': 'In'}, {'value': 'Ln'}, {'value': 'MN'}, {'value': 'Mn'}, {'value': 'N'}, {'value': 'ON'}, {'value': 'RN'}, {'value': 'Rn'}, {'value': 'Sn'}, {'value': 'TN'}, {'value': 'UN'}, {'value': 'en'}, {'value': 'kn'}, {'value': 'n'}, {'value': 'tn'}]
Context :
{'text': '...f  (so-called binomial theorem):   (a+b)^n = \\binom n 0 a^n + \\binom n 1 a^{n-1} b...', 'length': 2, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '...-called binomial theorem):   (a+b)^n = \\binom n 0 a^n + \\binom n 1 a^{n-1} b + \\binom...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'an'}, {'value': 'AFN'}, {'value': 'ain'}, {'value': 'Ann'}, {'value': 'awn'}]
Context :
{'text': '...nomial theorem):   (a+b)^n = \\binom n 0 a^n + \\binom n 1 a^{n-1} b + \\binom n 2 a^{...', 'length': 3, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '...theorem):   (a+b)^n = \\binom n 0 a^n + \\binom n 1 a^{n-1} b + \\binom n 2 a^{n-2} b^2 ...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'a'}, {'value': 'as'}, {'value': 'at'}, {'value': 'an'}, {'value': 'am'}, {'value': 'eye'}, {'value': 'ad'}, {'value': 'AF'}, {'value': 'ah'}, {'value': 'AD'}, {'value': 'av'}, {'value': 'ax'}, {'value': 'A'}, {'value': 'AA'}, {'value': 'AB'}, {'value': 'AC'}, {'value': 'AI'}, {'value': 'AK'}, {'value': 'AL'}, {'value': 'AM'}, {'value': 'AP'}, {'value': 'AR'}, {'value': 'AV'}, {'value': 'AZ'}, {'value': 'Ac'}, {'value': 'Ag'}, {'value': 'Al'}, {'value': 'Am'}, {'value': 'Ar'}, {'value': 'As'}, {'value': 'At'}, {'value': 'Au'}, {'value': 'Av'}, {'value': 'ab'}, {'value': 'ac'}, {'value': 'aw'}]
Context :
{'text': '...  (a+b)^n = \\binom n 0 a^n + \\binom n 1 a^{n-1} b + \\binom n 2 a^{n-2} b^2 + \\cdot...', 'length': 2, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '...binom n 0 a^n + \\binom n 1 a^{n-1} b + \\binom n 2 a^{n-2} b^2 + \\cdots + \\binom n k a...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'a'}, {'value': 'as'}, {'value': 'at'}, {'value': 'an'}, {'value': 'am'}, {'value': 'eye'}, {'value': 'ad'}, {'value': 'AF'}, {'value': 'ah'}, {'value': 'AD'}, {'value': 'av'}, {'value': 'ax'}, {'value': 'A'}, {'value': 'AA'}, {'value': 'AB'}, {'value': 'AC'}, {'value': 'AI'}, {'value': 'AK'}, {'value': 'AL'}, {'value': 'AM'}, {'value': 'AP'}, {'value': 'AR'}, {'value': 'AV'}, {'value': 'AZ'}, {'value': 'Ac'}, {'value': 'Ag'}, {'value': 'Al'}, {'value': 'Am'}, {'value': 'Ar'}, {'value': 'As'}, {'value': 'At'}, {'value': 'Au'}, {'value': 'Av'}, {'value': 'ab'}, {'value': 'ac'}, {'value': 'aw'}]
Context :
{'text': '...a^n + \\binom n 1 a^{n-1} b + \\binom n 2 a^{n-2} b^2 + \\cdots + \\binom n k a^{n-k} ...', 'length': 2, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'dots'}, {'value': 'coots'}, {'value': 'clots'}, {'value': 'cots'}, {'value': 'c dots'}]
Context :
{'text': '...1 a^{n-1} b + \\binom n 2 a^{n-2} b^2 + \\cdots + \\binom n k a^{n-k} b^k + \\cdots + \\bi...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '... b + \\binom n 2 a^{n-2} b^2 + \\cdots + \\binom n k a^{n-k} b^k + \\cdots + \\binom n n b...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'a'}, {'value': 'as'}, {'value': 'at'}, {'value': 'an'}, {'value': 'am'}, {'value': 'eye'}, {'value': 'ad'}, {'value': 'AF'}, {'value': 'ah'}, {'value': 'AD'}, {'value': 'av'}, {'value': 'ax'}, {'value': 'A'}, {'value': 'AA'}, {'value': 'AB'}, {'value': 'AC'}, {'value': 'AI'}, {'value': 'AK'}, {'value': 'AL'}, {'value': 'AM'}, {'value': 'AP'}, {'value': 'AR'}, {'value': 'AV'}, {'value': 'AZ'}, {'value': 'Ac'}, {'value': 'Ag'}, {'value': 'Al'}, {'value': 'Am'}, {'value': 'Ar'}, {'value': 'As'}, {'value': 'At'}, {'value': 'Au'}, {'value': 'Av'}, {'value': 'ab'}, {'value': 'ac'}, {'value': 'aw'}]
Context :
{'text': '...m n 2 a^{n-2} b^2 + \\cdots + \\binom n k a^{n-k} b^k + \\cdots + \\binom n n b^n   It...', 'length': 2, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'Bk'}, {'value': 'bk'}]
Context :
{'text': '...{n-2} b^2 + \\cdots + \\binom n k a^{n-k} b^k + \\cdots + \\binom n n b^n   It is belie...', 'length': 3, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'dots'}, {'value': 'coots'}, {'value': 'clots'}, {'value': 'cots'}, {'value': 'c dots'}]
Context :
{'text': '...^2 + \\cdots + \\binom n k a^{n-k} b^k + \\cdots + \\binom n n b^n   It is believed that ...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '...ts + \\binom n k a^{n-k} b^k + \\cdots + \\binom n n b^n   It is believed that this form...', 'length': 5, 'offset': 43}



Possible typo: you repeated a word
Replacements :
[{'value': 'n'}]
Context :
{'text': '...binom n k a^{n-k} b^k + \\cdots + \\binom n n b^n   It is believed that this formula,...', 'length': 3, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'ban'}, {'value': 'Ben'}, {'value': 'bin'}, {'value': 'bun'}]
Context :
{'text': '...m n k a^{n-k} b^k + \\cdots + \\binom n n b^n   It is believed that this formula, as ...', 'length': 3, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'Blaine'}, {'value': 'Braise'}, {'value': 'Blase'}]
Context :
{'text': '... of the coefficients, was discovered by Blaise Pascal in the 17th century. Nevertheles...', 'length': 6, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'Pinball'}, {'value': 'Pangaea'}, {'value': 'Pinata'}]
Context :
{'text': '...ر خیام). Moreover, Indian mathematician Pingala (पिङ्गल), who lived  earlier in the 3rd...', 'length': 7, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '...nalytic formula for the calculation:   \\binom n k = \\frac {n!} {k!(n-k)!}   This form...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'franc'}, {'value': 'Fran'}, {'value': 'fray'}, {'value': 'Frau'}, {'value': 'Frey'}, {'value': 'Freya'}, {'value': 'frat'}, {'value': 'frag'}, {'value': 'fr ac'}]
Context :
{'text': '...la for the calculation:   \\binom n k = \\frac {n!} {k!(n-k)!}   This formula can be e...', 'length': 4, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'ordered'}, {'value': 'bordered'}, {'value': 'reordered'}]
Context :
{'text': '...d arrangements: . We can easily move to unordered arrangements, noting that each unordere...', 'length': 9, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'ordered'}, {'value': 'bordered'}, {'value': 'reordered'}]
Context :
{'text': '...nordered arrangements, noting that each unordered arrangement corresponds to exactly  ord...', 'length': 9, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '...with the famous "Pascal\'s Triangle"):  \\binom n k = \\binom {n-1} {k-1} + \\binom {n-1}...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '...us "Pascal\'s Triangle"):  \\binom n k = \\binom {n-1} {k-1} + \\binom {n-1} k   It is ea...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '..."):  \\binom n k = \\binom {n-1} {k-1} + \\binom {n-1} k   It is easy to deduce through ...', 'length': 5, 'offset': 43}



Consider using "many".
Replacements :
[{'value': 'many'}]
Context :
{'text': '... Properties  Binomial coefficients have many different properties. Here are the simplest of th...', 'length': 14, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '...the simplest of them:   Symmetry rule: \\binom n k = \\binom n {n-k}  Factoring in: \\bi...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '...of them:   Symmetry rule: \\binom n k = \\binom n {n-k}  Factoring in: \\binom n k = \\fr...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '...om n k = \\binom n {n-k}  Factoring in: \\binom n k = \\frac n k \\binom {n-1} {k-1}  Sum...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'franc'}, {'value': 'Fran'}, {'value': 'fray'}, {'value': 'Frau'}, {'value': 'Frey'}, {'value': 'Freya'}, {'value': 'frat'}, {'value': 'frag'}, {'value': 'fr ac'}]
Context :
{'text': '...om n {n-k}  Factoring in: \\binom n k = \\frac n k \\binom {n-1} {k-1}  Sum over : \\sum...', 'length': 4, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '...  Factoring in: \\binom n k = \\frac n k \\binom {n-1} {k-1}  Sum over : \\sum_{k = 0}^n ...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'sum'}, {'value': 'sums'}, {'value': 'sumo'}, {'value': 'sump'}]
Context :
{'text': '...rac n k \\binom {n-1} {k-1}  Sum over : \\sum_{k = 0}^n \\binom n k = 2 ^ n  Sum over :...', 'length': 4, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'in'}, {'value': 'on'}, {'value': 'an'}, {'value': 'Zn'}, {'value': 'IN'}, {'value': 'In'}, {'value': 'Ln'}, {'value': 'MN'}, {'value': 'Mn'}, {'value': 'N'}, {'value': 'ON'}, {'value': 'RN'}, {'value': 'Rn'}, {'value': 'Sn'}, {'value': 'TN'}, {'value': 'UN'}, {'value': 'en'}, {'value': 'kn'}, {'value': 'n'}, {'value': 'tn'}]
Context :
{'text': '...nom {n-1} {k-1}  Sum over : \\sum_{k = 0}^n \\binom n k = 2 ^ n  Sum over : \\sum_{m ...', 'length': 2, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '...{n-1} {k-1}  Sum over : \\sum_{k = 0}^n \\binom n k = 2 ^ n  Sum over : \\sum_{m = 0}^n ...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'sum'}, {'value': 'sums'}, {'value': 'sumo'}, {'value': 'sump'}]
Context :
{'text': '... = 0}^n \\binom n k = 2 ^ n  Sum over : \\sum_{m = 0}^n \\binom m k = \\binom {n + 1} {k...', 'length': 4, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'in'}, {'value': 'on'}, {'value': 'an'}, {'value': 'Zn'}, {'value': 'IN'}, {'value': 'In'}, {'value': 'Ln'}, {'value': 'MN'}, {'value': 'Mn'}, {'value': 'N'}, {'value': 'ON'}, {'value': 'RN'}, {'value': 'Rn'}, {'value': 'Sn'}, {'value': 'TN'}, {'value': 'UN'}, {'value': 'en'}, {'value': 'kn'}, {'value': 'n'}, {'value': 'tn'}]
Context :
{'text': '...nom n k = 2 ^ n  Sum over : \\sum_{m = 0}^n \\binom m k = \\binom {n + 1} {k + 1}  Su...', 'length': 2, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '...n k = 2 ^ n  Sum over : \\sum_{m = 0}^n \\binom m k = \\binom {n + 1} {k + 1}  Sum over ...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '...Sum over : \\sum_{m = 0}^n \\binom m k = \\binom {n + 1} {k + 1}  Sum over  and : \\sum_{...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'sum'}, {'value': 'sums'}, {'value': 'sumo'}, {'value': 'sump'}]
Context :
{'text': '...binom {n + 1} {k + 1}  Sum over  and : \\sum_{k = 0}^m  \\binom {n + k} k = \\binom {n ...', 'length': 4, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'km'}, {'value': 'FM'}, {'value': 'am'}, {'value': 'cm'}, {'value': 'mm'}, {'value': 'PM'}, {'value': 'pm'}, {'value': 'um'}, {'value': 'gm'}, {'value': 'GM'}, {'value': 'AM'}, {'value': 'Am'}, {'value': 'BM'}, {'value': 'Cm'}, {'value': 'EM'}, {'value': 'Fm'}, {'value': 'HM'}, {'value': 'M'}, {'value': 'MM'}, {'value': 'NM'}, {'value': 'Pm'}, {'value': 'QM'}, {'value': 'Sm'}, {'value': 'TM'}, {'value': 'Tm'}, {'value': 'Wm'}, {'value': 'em'}, {'value': 'm'}, {'value': 'om'}, {'value': 'rm'}]
Context :
{'text': '...1} {k + 1}  Sum over  and : \\sum_{k = 0}^m  \\binom {n + k} k = \\binom {n + m + 1} ...', 'length': 2, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '... + 1}  Sum over  and : \\sum_{k = 0}^m  \\binom {n + k} k = \\binom {n + m + 1} m  Sum o...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '...d : \\sum_{k = 0}^m  \\binom {n + k} k = \\binom {n + m + 1} m  Sum of the squares: {\\bi...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '...om {n + m + 1} m  Sum of the squares: {\\binom n 0}^2 + {\\binom n 1}^2 + \\cdots + {\\bi...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '... Sum of the squares: {\\binom n 0}^2 + {\\binom n 1}^2 + \\cdots + {\\binom n n}^2 = \\bin...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'dots'}, {'value': 'coots'}, {'value': 'clots'}, {'value': 'cots'}, {'value': 'c dots'}]
Context :
{'text': '...res: {\\binom n 0}^2 + {\\binom n 1}^2 + \\cdots + {\\binom n n}^2 = \\binom {2n} n  Weigh...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '...om n 0}^2 + {\\binom n 1}^2 + \\cdots + {\\binom n n}^2 = \\binom {2n} n  Weighted sum: 1...', 'length': 5, 'offset': 43}



Possible typo: you repeated a word
Replacements :
[{'value': 'n'}]
Context :
{'text': '...}^2 + {\\binom n 1}^2 + \\cdots + {\\binom n n}^2 = \\binom {2n} n  Weighted sum: 1 \\bi...', 'length': 3, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '...nom n 1}^2 + \\cdots + {\\binom n n}^2 = \\binom {2n} n  Weighted sum: 1 \\binom n 1 + 2 ...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '... n}^2 = \\binom {2n} n  Weighted sum: 1 \\binom n 1 + 2 \\binom n 2 + \\cdots + n \\binom ...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '...{2n} n  Weighted sum: 1 \\binom n 1 + 2 \\binom n 2 + \\cdots + n \\binom n n = n 2^{n-1}...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'dots'}, {'value': 'coots'}, {'value': 'clots'}, {'value': 'cots'}, {'value': 'c dots'}]
Context :
{'text': '...ted sum: 1 \\binom n 1 + 2 \\binom n 2 + \\cdots + n \\binom n n = n 2^{n-1}  Connection ...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '...\\binom n 1 + 2 \\binom n 2 + \\cdots + n \\binom n n = n 2^{n-1}  Connection with the Fi...', 'length': 5, 'offset': 43}



Possible typo: you repeated a word
Replacements :
[{'value': 'n'}]
Context :
{'text': '... n 1 + 2 \\binom n 2 + \\cdots + n \\binom n n = n 2^{n-1}  Connection with the Fibona...', 'length': 3, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '...Connection with the Fibonacci numbers: \\binom n 0 + \\binom {n-1} 1 + \\cdots + \\binom ...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '...th the Fibonacci numbers: \\binom n 0 + \\binom {n-1} 1 + \\cdots + \\binom {n-k} k + \\cd...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'dots'}, {'value': 'coots'}, {'value': 'clots'}, {'value': 'cots'}, {'value': 'c dots'}]
Context :
{'text': '...numbers: \\binom n 0 + \\binom {n-1} 1 + \\cdots + \\binom {n-k} k + \\cdots + \\binom 0 n ...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '...\\binom n 0 + \\binom {n-1} 1 + \\cdots + \\binom {n-k} k + \\cdots + \\binom 0 n = F_{n+1}...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'dots'}, {'value': 'coots'}, {'value': 'clots'}, {'value': 'cots'}, {'value': 'c dots'}]
Context :
{'text': '...om {n-1} 1 + \\cdots + \\binom {n-k} k + \\cdots + \\binom 0 n = F_{n+1}    Calculations ...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '...1 + \\cdots + \\binom {n-k} k + \\cdots + \\binom 0 n = F_{n+1}    Calculations in code  ...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'analytic'}, {'value': 'analytically'}, {'value': 'analogical'}]
Context :
{'text': '...ulations in code  Direct calculation of analytical formula  The first, straightforward for...', 'length': 10, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'multiplying'}]
Context :
{'text': '...eal-valued. However, on each step after mupltiplying current answer by each of the next frac...', 'length': 12, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'answer'}]
Context :
{'text': '...t intermediate results never exceed the anwser and calculating each new table element ...', 'length': 6, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'nth'}, {'value': 'Th'}]
Context :
{'text': '... last rows of it is sufficient (current -th row and the previous -th).  Calculation...', 'length': 3, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'nth'}, {'value': 'Th'}]
Context :
{'text': '...cient (current -th row and the previous -th).  Calculation in  Finally, in some sit...', 'length': 3, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'recalculate'}]
Context :
{'text': '... in some situations it is beneficial to pre-calculate all the factorials in order to produce ...', 'length': 13, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'recalculation'}, {'value': 'p recalculation'}]
Context :
{'text': "...thmetic, when the memory does not allow precalculation of all Pascal's triangle, or when you n...", 'length': 14, 'offset': 43}



Incorrect plural form; it does not need any apostrophe. Did you mean "Pascals"?
Replacements :
[{'value': 'Pascals'}]
Context :
{'text': "...ry does not allow precalculation of all Pascal's triangle, or when you need to do calcul...", 'length': 8, 'offset': 43}

Additional Info : Pull Request Merged


Counter : 12
Github URL : https://github.com/e-maxx-eng/e-maxx-eng
Translation project page : Github Only
Bug Description : Typo (anwser should be answer)
Command : langTool check en-US binomial-coefficients.md
Output :

Possible spelling mistake found
Replacements :
[{'value': 'ordered'}, {'value': 'bordered'}, {'value': 'reordered'}]
Context :
{'text': '...of these elements (i.e., the numbers of unordered sets).   Binomial coefficients are also...', 'length': 9, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'in'}, {'value': 'on'}, {'value': 'an'}, {'value': 'Zn'}, {'value': 'IN'}, {'value': 'In'}, {'value': 'Ln'}, {'value': 'MN'}, {'value': 'Mn'}, {'value': 'N'}, {'value': 'ON'}, {'value': 'RN'}, {'value': 'Rn'}, {'value': 'Sn'}, {'value': 'TN'}, {'value': 'UN'}, {'value': 'en'}, {'value': 'kn'}, {'value': 'n'}, {'value': 'tn'}]
Context :
{'text': '...f  (so-called binomial theorem):   (a+b)^n = \\binom n 0 a^n + \\binom n 1 a^{n-1} b...', 'length': 2, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '...-called binomial theorem):   (a+b)^n = \\binom n 0 a^n + \\binom n 1 a^{n-1} b + \\binom...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'an'}, {'value': 'AFN'}, {'value': 'ain'}, {'value': 'Ann'}, {'value': 'awn'}]
Context :
{'text': '...nomial theorem):   (a+b)^n = \\binom n 0 a^n + \\binom n 1 a^{n-1} b + \\binom n 2 a^{...', 'length': 3, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '...theorem):   (a+b)^n = \\binom n 0 a^n + \\binom n 1 a^{n-1} b + \\binom n 2 a^{n-2} b^2 ...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'a'}, {'value': 'as'}, {'value': 'at'}, {'value': 'an'}, {'value': 'am'}, {'value': 'eye'}, {'value': 'ad'}, {'value': 'AF'}, {'value': 'ah'}, {'value': 'AD'}, {'value': 'av'}, {'value': 'ax'}, {'value': 'A'}, {'value': 'AA'}, {'value': 'AB'}, {'value': 'AC'}, {'value': 'AI'}, {'value': 'AK'}, {'value': 'AL'}, {'value': 'AM'}, {'value': 'AP'}, {'value': 'AR'}, {'value': 'AV'}, {'value': 'AZ'}, {'value': 'Ac'}, {'value': 'Ag'}, {'value': 'Al'}, {'value': 'Am'}, {'value': 'Ar'}, {'value': 'As'}, {'value': 'At'}, {'value': 'Au'}, {'value': 'Av'}, {'value': 'ab'}, {'value': 'ac'}, {'value': 'aw'}]
Context :
{'text': '...  (a+b)^n = \\binom n 0 a^n + \\binom n 1 a^{n-1} b + \\binom n 2 a^{n-2} b^2 + \\cdot...', 'length': 2, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '...binom n 0 a^n + \\binom n 1 a^{n-1} b + \\binom n 2 a^{n-2} b^2 + \\cdots + \\binom n k a...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'a'}, {'value': 'as'}, {'value': 'at'}, {'value': 'an'}, {'value': 'am'}, {'value': 'eye'}, {'value': 'ad'}, {'value': 'AF'}, {'value': 'ah'}, {'value': 'AD'}, {'value': 'av'}, {'value': 'ax'}, {'value': 'A'}, {'value': 'AA'}, {'value': 'AB'}, {'value': 'AC'}, {'value': 'AI'}, {'value': 'AK'}, {'value': 'AL'}, {'value': 'AM'}, {'value': 'AP'}, {'value': 'AR'}, {'value': 'AV'}, {'value': 'AZ'}, {'value': 'Ac'}, {'value': 'Ag'}, {'value': 'Al'}, {'value': 'Am'}, {'value': 'Ar'}, {'value': 'As'}, {'value': 'At'}, {'value': 'Au'}, {'value': 'Av'}, {'value': 'ab'}, {'value': 'ac'}, {'value': 'aw'}]
Context :
{'text': '...a^n + \\binom n 1 a^{n-1} b + \\binom n 2 a^{n-2} b^2 + \\cdots + \\binom n k a^{n-k} ...', 'length': 2, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'dots'}, {'value': 'coots'}, {'value': 'clots'}, {'value': 'cots'}, {'value': 'c dots'}]
Context :
{'text': '...1 a^{n-1} b + \\binom n 2 a^{n-2} b^2 + \\cdots + \\binom n k a^{n-k} b^k + \\cdots + \\bi...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '... b + \\binom n 2 a^{n-2} b^2 + \\cdots + \\binom n k a^{n-k} b^k + \\cdots + \\binom n n b...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'a'}, {'value': 'as'}, {'value': 'at'}, {'value': 'an'}, {'value': 'am'}, {'value': 'eye'}, {'value': 'ad'}, {'value': 'AF'}, {'value': 'ah'}, {'value': 'AD'}, {'value': 'av'}, {'value': 'ax'}, {'value': 'A'}, {'value': 'AA'}, {'value': 'AB'}, {'value': 'AC'}, {'value': 'AI'}, {'value': 'AK'}, {'value': 'AL'}, {'value': 'AM'}, {'value': 'AP'}, {'value': 'AR'}, {'value': 'AV'}, {'value': 'AZ'}, {'value': 'Ac'}, {'value': 'Ag'}, {'value': 'Al'}, {'value': 'Am'}, {'value': 'Ar'}, {'value': 'As'}, {'value': 'At'}, {'value': 'Au'}, {'value': 'Av'}, {'value': 'ab'}, {'value': 'ac'}, {'value': 'aw'}]
Context :
{'text': '...m n 2 a^{n-2} b^2 + \\cdots + \\binom n k a^{n-k} b^k + \\cdots + \\binom n n b^n   It...', 'length': 2, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'Bk'}, {'value': 'bk'}]
Context :
{'text': '...{n-2} b^2 + \\cdots + \\binom n k a^{n-k} b^k + \\cdots + \\binom n n b^n   It is belie...', 'length': 3, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'dots'}, {'value': 'coots'}, {'value': 'clots'}, {'value': 'cots'}, {'value': 'c dots'}]
Context :
{'text': '...^2 + \\cdots + \\binom n k a^{n-k} b^k + \\cdots + \\binom n n b^n   It is believed that ...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '...ts + \\binom n k a^{n-k} b^k + \\cdots + \\binom n n b^n   It is believed that this form...', 'length': 5, 'offset': 43}



Possible typo: you repeated a word
Replacements :
[{'value': 'n'}]
Context :
{'text': '...binom n k a^{n-k} b^k + \\cdots + \\binom n n b^n   It is believed that this formula,...', 'length': 3, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'ban'}, {'value': 'Ben'}, {'value': 'bin'}, {'value': 'bun'}]
Context :
{'text': '...m n k a^{n-k} b^k + \\cdots + \\binom n n b^n   It is believed that this formula, as ...', 'length': 3, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'Blaine'}, {'value': 'Braise'}, {'value': 'Blase'}]
Context :
{'text': '... of the coefficients, was discovered by Blaise Pascal in the 17th century. Nevertheles...', 'length': 6, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'Pinball'}, {'value': 'Pangaea'}, {'value': 'Pinata'}]
Context :
{'text': '...ر خیام). Moreover, Indian mathematician Pingala (पिङ्गल), who lived  earlier in the 3rd...', 'length': 7, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '...nalytic formula for the calculation:   \\binom n k = \\frac {n!} {k!(n-k)!}   This form...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'franc'}, {'value': 'Fran'}, {'value': 'fray'}, {'value': 'Frau'}, {'value': 'Frey'}, {'value': 'Freya'}, {'value': 'frat'}, {'value': 'frag'}, {'value': 'fr ac'}]
Context :
{'text': '...la for the calculation:   \\binom n k = \\frac {n!} {k!(n-k)!}   This formula can be e...', 'length': 4, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'ordered'}, {'value': 'bordered'}, {'value': 'reordered'}]
Context :
{'text': '...d arrangements: . We can easily move to unordered arrangements, noting that each unordere...', 'length': 9, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'ordered'}, {'value': 'bordered'}, {'value': 'reordered'}]
Context :
{'text': '...nordered arrangements, noting that each unordered arrangement corresponds to exactly  ord...', 'length': 9, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '...with the famous "Pascal\'s Triangle"):  \\binom n k = \\binom {n-1} {k-1} + \\binom {n-1}...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '...us "Pascal\'s Triangle"):  \\binom n k = \\binom {n-1} {k-1} + \\binom {n-1} k   It is ea...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '..."):  \\binom n k = \\binom {n-1} {k-1} + \\binom {n-1} k   It is easy to deduce through ...', 'length': 5, 'offset': 43}



Consider using "many".
Replacements :
[{'value': 'many'}]
Context :
{'text': '... Properties  Binomial coefficients have many different properties. Here are the simplest of th...', 'length': 14, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '...the simplest of them:   Symmetry rule: \\binom n k = \\binom n {n-k}  Factoring in: \\bi...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '...of them:   Symmetry rule: \\binom n k = \\binom n {n-k}  Factoring in: \\binom n k = \\fr...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '...om n k = \\binom n {n-k}  Factoring in: \\binom n k = \\frac n k \\binom {n-1} {k-1}  Sum...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'franc'}, {'value': 'Fran'}, {'value': 'fray'}, {'value': 'Frau'}, {'value': 'Frey'}, {'value': 'Freya'}, {'value': 'frat'}, {'value': 'frag'}, {'value': 'fr ac'}]
Context :
{'text': '...om n {n-k}  Factoring in: \\binom n k = \\frac n k \\binom {n-1} {k-1}  Sum over : \\sum...', 'length': 4, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '...  Factoring in: \\binom n k = \\frac n k \\binom {n-1} {k-1}  Sum over : \\sum_{k = 0}^n ...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'sum'}, {'value': 'sums'}, {'value': 'sumo'}, {'value': 'sump'}]
Context :
{'text': '...rac n k \\binom {n-1} {k-1}  Sum over : \\sum_{k = 0}^n \\binom n k = 2 ^ n  Sum over :...', 'length': 4, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'in'}, {'value': 'on'}, {'value': 'an'}, {'value': 'Zn'}, {'value': 'IN'}, {'value': 'In'}, {'value': 'Ln'}, {'value': 'MN'}, {'value': 'Mn'}, {'value': 'N'}, {'value': 'ON'}, {'value': 'RN'}, {'value': 'Rn'}, {'value': 'Sn'}, {'value': 'TN'}, {'value': 'UN'}, {'value': 'en'}, {'value': 'kn'}, {'value': 'n'}, {'value': 'tn'}]
Context :
{'text': '...nom {n-1} {k-1}  Sum over : \\sum_{k = 0}^n \\binom n k = 2 ^ n  Sum over : \\sum_{m ...', 'length': 2, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '...{n-1} {k-1}  Sum over : \\sum_{k = 0}^n \\binom n k = 2 ^ n  Sum over : \\sum_{m = 0}^n ...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'sum'}, {'value': 'sums'}, {'value': 'sumo'}, {'value': 'sump'}]
Context :
{'text': '... = 0}^n \\binom n k = 2 ^ n  Sum over : \\sum_{m = 0}^n \\binom m k = \\binom {n + 1} {k...', 'length': 4, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'in'}, {'value': 'on'}, {'value': 'an'}, {'value': 'Zn'}, {'value': 'IN'}, {'value': 'In'}, {'value': 'Ln'}, {'value': 'MN'}, {'value': 'Mn'}, {'value': 'N'}, {'value': 'ON'}, {'value': 'RN'}, {'value': 'Rn'}, {'value': 'Sn'}, {'value': 'TN'}, {'value': 'UN'}, {'value': 'en'}, {'value': 'kn'}, {'value': 'n'}, {'value': 'tn'}]
Context :
{'text': '...nom n k = 2 ^ n  Sum over : \\sum_{m = 0}^n \\binom m k = \\binom {n + 1} {k + 1}  Su...', 'length': 2, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '...n k = 2 ^ n  Sum over : \\sum_{m = 0}^n \\binom m k = \\binom {n + 1} {k + 1}  Sum over ...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '...Sum over : \\sum_{m = 0}^n \\binom m k = \\binom {n + 1} {k + 1}  Sum over  and : \\sum_{...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'sum'}, {'value': 'sums'}, {'value': 'sumo'}, {'value': 'sump'}]
Context :
{'text': '...binom {n + 1} {k + 1}  Sum over  and : \\sum_{k = 0}^m  \\binom {n + k} k = \\binom {n ...', 'length': 4, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'km'}, {'value': 'FM'}, {'value': 'am'}, {'value': 'cm'}, {'value': 'mm'}, {'value': 'PM'}, {'value': 'pm'}, {'value': 'um'}, {'value': 'gm'}, {'value': 'GM'}, {'value': 'AM'}, {'value': 'Am'}, {'value': 'BM'}, {'value': 'Cm'}, {'value': 'EM'}, {'value': 'Fm'}, {'value': 'HM'}, {'value': 'M'}, {'value': 'MM'}, {'value': 'NM'}, {'value': 'Pm'}, {'value': 'QM'}, {'value': 'Sm'}, {'value': 'TM'}, {'value': 'Tm'}, {'value': 'Wm'}, {'value': 'em'}, {'value': 'm'}, {'value': 'om'}, {'value': 'rm'}]
Context :
{'text': '...1} {k + 1}  Sum over  and : \\sum_{k = 0}^m  \\binom {n + k} k = \\binom {n + m + 1} ...', 'length': 2, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '... + 1}  Sum over  and : \\sum_{k = 0}^m  \\binom {n + k} k = \\binom {n + m + 1} m  Sum o...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '...d : \\sum_{k = 0}^m  \\binom {n + k} k = \\binom {n + m + 1} m  Sum of the squares: {\\bi...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '...om {n + m + 1} m  Sum of the squares: {\\binom n 0}^2 + {\\binom n 1}^2 + \\cdots + {\\bi...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '... Sum of the squares: {\\binom n 0}^2 + {\\binom n 1}^2 + \\cdots + {\\binom n n}^2 = \\bin...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'dots'}, {'value': 'coots'}, {'value': 'clots'}, {'value': 'cots'}, {'value': 'c dots'}]
Context :
{'text': '...res: {\\binom n 0}^2 + {\\binom n 1}^2 + \\cdots + {\\binom n n}^2 = \\binom {2n} n  Weigh...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '...om n 0}^2 + {\\binom n 1}^2 + \\cdots + {\\binom n n}^2 = \\binom {2n} n  Weighted sum: 1...', 'length': 5, 'offset': 43}



Possible typo: you repeated a word
Replacements :
[{'value': 'n'}]
Context :
{'text': '...}^2 + {\\binom n 1}^2 + \\cdots + {\\binom n n}^2 = \\binom {2n} n  Weighted sum: 1 \\bi...', 'length': 3, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '...nom n 1}^2 + \\cdots + {\\binom n n}^2 = \\binom {2n} n  Weighted sum: 1 \\binom n 1 + 2 ...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '... n}^2 = \\binom {2n} n  Weighted sum: 1 \\binom n 1 + 2 \\binom n 2 + \\cdots + n \\binom ...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '...{2n} n  Weighted sum: 1 \\binom n 1 + 2 \\binom n 2 + \\cdots + n \\binom n n = n 2^{n-1}...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'dots'}, {'value': 'coots'}, {'value': 'clots'}, {'value': 'cots'}, {'value': 'c dots'}]
Context :
{'text': '...ted sum: 1 \\binom n 1 + 2 \\binom n 2 + \\cdots + n \\binom n n = n 2^{n-1}  Connection ...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '...\\binom n 1 + 2 \\binom n 2 + \\cdots + n \\binom n n = n 2^{n-1}  Connection with the Fi...', 'length': 5, 'offset': 43}



Possible typo: you repeated a word
Replacements :
[{'value': 'n'}]
Context :
{'text': '... n 1 + 2 \\binom n 2 + \\cdots + n \\binom n n = n 2^{n-1}  Connection with the Fibona...', 'length': 3, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '...Connection with the Fibonacci numbers: \\binom n 0 + \\binom {n-1} 1 + \\cdots + \\binom ...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '...th the Fibonacci numbers: \\binom n 0 + \\binom {n-1} 1 + \\cdots + \\binom {n-k} k + \\cd...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'dots'}, {'value': 'coots'}, {'value': 'clots'}, {'value': 'cots'}, {'value': 'c dots'}]
Context :
{'text': '...numbers: \\binom n 0 + \\binom {n-1} 1 + \\cdots + \\binom {n-k} k + \\cdots + \\binom 0 n ...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '...\\binom n 0 + \\binom {n-1} 1 + \\cdots + \\binom {n-k} k + \\cdots + \\binom 0 n = F_{n+1}...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'dots'}, {'value': 'coots'}, {'value': 'clots'}, {'value': 'cots'}, {'value': 'c dots'}]
Context :
{'text': '...om {n-1} 1 + \\cdots + \\binom {n-k} k + \\cdots + \\binom 0 n = F_{n+1}    Calculations ...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'bin om'}]
Context :
{'text': '...1 + \\cdots + \\binom {n-k} k + \\cdots + \\binom 0 n = F_{n+1}    Calculations in code  ...', 'length': 5, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'analytic'}, {'value': 'analytically'}, {'value': 'analogical'}]
Context :
{'text': '...ulations in code  Direct calculation of analytical formula  The first, straightforward for...', 'length': 10, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'multiplying'}]
Context :
{'text': '...eal-valued. However, on each step after mupltiplying current answer by each of the next frac...', 'length': 12, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'answer'}]
Context :
{'text': '...t intermediate results never exceed the anwser and calculating each new table element ...', 'length': 6, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'nth'}, {'value': 'Th'}]
Context :
{'text': '... last rows of it is sufficient (current -th row and the previous -th).  Calculation...', 'length': 3, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'nth'}, {'value': 'Th'}]
Context :
{'text': '...cient (current -th row and the previous -th).  Calculation in  Finally, in some sit...', 'length': 3, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'recalculate'}]
Context :
{'text': '... in some situations it is beneficial to pre-calculate all the factorials in order to produce ...', 'length': 13, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'recalculation'}, {'value': 'p recalculation'}]
Context :
{'text': "...thmetic, when the memory does not allow precalculation of all Pascal's triangle, or when you n...", 'length': 14, 'offset': 43}



Incorrect plural form; it does not need any apostrophe. Did you mean "Pascals"?
Replacements :
[{'value': 'Pascals'}]
Context :
{'text': "...ry does not allow precalculation of all Pascal's triangle, or when you need to do calcul...", 'length': 8, 'offset': 43}

Additional Info : Pull Request Merged


Counter : 13
Github URL : https://github.com/e-maxx-eng/e-maxx-eng
Translation project page : Github Only
Bug Description : Spelling Error (parenthesise should be parenthesize)
Command : langTool check en-US catalan-numbers.md
Output :

Possible spelling mistake found
Replacements :
[{'value': 'Catalan'}, {'value': 'Catalina'}, {'value': 'Catalans'}, {'value': 'Catalan a'}]
Context :
{'text': '...s named after the Belgian mathematician Catalana, who lived in the 19th century. (In fac...', 'length': 8, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'Catalan'}, {'value': 'Catalina'}, {'value': 'Catalans'}, {'value': 'Catalan a'}]
Context :
{'text': '...re to Euler, who lived a century before Catalana).  The first few numbers Catalan number...', 'length': 8, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'parenthesis'}, {'value': 'parenthesize'}, {'value': 'parenthesis e'}]
Context :
{'text': '...ldren. The number of ways to completely parenthesise  factors. The number of triangulations ...', 'length': 12, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'triangulation'}, {'value': 'triangulation s'}]
Context :
{'text': '...ly parenthesise  factors. The number of triangulations of a convex polygon with  sides (i.e. t...', 'length': 14, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'Analytic'}, {'value': 'Analytically'}, {'value': 'Analogical'}]
Context :
{'text': '... for the Catalan numbers: Recursive and Analytical. Since, we believe that all the mention...', 'length': 10, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'In'}, {'value': 'On'}, {'value': 'An'}, {'value': 'Can'}, {'value': 'CD'}, {'value': 'Cm'}, {'value': 'CNN'}, {'value': 'Cf'}, {'value': 'Con'}, {'value': 'CNS'}, {'value': 'CV'}, {'value': 'Cl'}, {'value': 'Zn'}, {'value': 'Cw'}, {'value': 'C'}, {'value': 'CA'}, {'value': 'CB'}, {'value': 'CF'}, {'value': 'CO'}, {'value': 'CT'}, {'value': 'CZ'}, {'value': 'Ca'}, {'value': 'Cb'}, {'value': 'Cd'}, {'value': 'Ce'}, {'value': 'Ch'}, {'value': 'Ci'}, {'value': 'Co'}, {'value': 'Cr'}, {'value': 'Cs'}, {'value': 'Ct'}, {'value': 'Cu'}, {'value': 'IN'}, {'value': 'Ln'}, {'value': 'MN'}, {'value': 'Mn'}, {'value': 'N'}, {'value': 'ON'}, {'value': 'RN'}, {'value': 'Rn'}, {'value': 'Sn'}, {'value': 'TN'}, {'value': 'UN'}, {'value': 'Cc'}, {'value': 'Cg'}, {'value': 'Ck'}, {'value': 'Ctn'}, {'value': 'En'}, {'value': 'Kn'}, {'value': 'Tn'}, {'value': 'C n'}]
Context :
{'text': '...to do.  Recursive formula  C0 = C1 = 1  Cn = \\sum{k = 0}^{n-1} Ck C{n-1-k} , {n} \\...', 'length': 2, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'get'}, {'value': 'gel'}, {'value': 'gem'}, {'value': 'Geo'}, {'value': 'gen'}, {'value': 'seq'}, {'value': 'GED'}, {'value': 'gee'}, {'value': 'GE'}, {'value': 'GHQ'}, {'value': 'Ge'}, {'value': 'Gen'}, {'value': 'Ger'}]
Context :
{'text': '... = \\sum{k = 0}^{n-1} Ck C{n-1-k} , {n} \\geq 2   The recurrence formula can be easil...', 'length': 3, 'offset': 43}



Did you forget a comma after a conjunctive/linking adverb?
Replacements :
[{'value': 'Thus,'}]
Context :
{'text': '...ould be a correct sequence of brackets. Thus formula is also divided into 2 parts. I...', 'length': 4, 'offset': 43}



This sentence does not start with an uppercase letter
Replacements :
[{'value': 'Can'}]
Context :
{'text': '... a correct bracket sequence. Example :  can be divided into  and , but cannot be di...', 'length': 3, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'Analytic'}, {'value': 'Analytically'}, {'value': 'Analogical'}]
Context :
{'text': '...ion on .  C++ implementation Show/Hide  Analytical formula  Cn = \\frac{1}{n + 1} C{2n}^{n}...', 'length': 10, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'In'}, {'value': 'On'}, {'value': 'An'}, {'value': 'Can'}, {'value': 'CD'}, {'value': 'Cm'}, {'value': 'CNN'}, {'value': 'Cf'}, {'value': 'Con'}, {'value': 'CNS'}, {'value': 'CV'}, {'value': 'Cl'}, {'value': 'Zn'}, {'value': 'Cw'}, {'value': 'C'}, {'value': 'CA'}, {'value': 'CB'}, {'value': 'CF'}, {'value': 'CO'}, {'value': 'CT'}, {'value': 'CZ'}, {'value': 'Ca'}, {'value': 'Cb'}, {'value': 'Cd'}, {'value': 'Ce'}, {'value': 'Ch'}, {'value': 'Ci'}, {'value': 'Co'}, {'value': 'Cr'}, {'value': 'Cs'}, {'value': 'Ct'}, {'value': 'Cu'}, {'value': 'IN'}, {'value': 'Ln'}, {'value': 'MN'}, {'value': 'Mn'}, {'value': 'N'}, {'value': 'ON'}, {'value': 'RN'}, {'value': 'Rn'}, {'value': 'Sn'}, {'value': 'TN'}, {'value': 'UN'}, {'value': 'Cc'}, {'value': 'Cg'}, {'value': 'Ck'}, {'value': 'Ctn'}, {'value': 'En'}, {'value': 'Kn'}, {'value': 'Tn'}, {'value': 'C n'}]
Context :
{'text': '...entation Show/Hide  Analytical formula  Cn = \\frac{1}{n + 1} C{2n}^{n}  (here  den...', 'length': 2, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'franc'}, {'value': 'Fran'}, {'value': 'fray'}, {'value': 'Frau'}, {'value': 'Frey'}, {'value': 'Freya'}, {'value': 'frat'}, {'value': 'frag'}, {'value': 'fr ac'}]
Context :
{'text': '...on Show/Hide  Analytical formula  Cn = \\frac{1}{n + 1} C{2n}^{n}  (here  denotes the...', 'length': 4, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'In'}, {'value': 'On'}, {'value': 'An'}, {'value': 'Can'}, {'value': 'CD'}, {'value': 'Cm'}, {'value': 'CNN'}, {'value': 'Cf'}, {'value': 'Con'}, {'value': 'CNS'}, {'value': 'CV'}, {'value': 'Cl'}, {'value': 'Zn'}, {'value': 'Cw'}, {'value': 'C'}, {'value': 'CA'}, {'value': 'CB'}, {'value': 'CF'}, {'value': 'CO'}, {'value': 'CT'}, {'value': 'CZ'}, {'value': 'Ca'}, {'value': 'Cb'}, {'value': 'Cd'}, {'value': 'Ce'}, {'value': 'Ch'}, {'value': 'Ci'}, {'value': 'Co'}, {'value': 'Cr'}, {'value': 'Cs'}, {'value': 'Ct'}, {'value': 'Cu'}, {'value': 'IN'}, {'value': 'Ln'}, {'value': 'MN'}, {'value': 'Mn'}, {'value': 'N'}, {'value': 'ON'}, {'value': 'RN'}, {'value': 'Rn'}, {'value': 'Sn'}, {'value': 'TN'}, {'value': 'UN'}, {'value': 'Cc'}, {'value': 'Cg'}, {'value': 'Ck'}, {'value': 'Ctn'}, {'value': 'En'}, {'value': 'Kn'}, {'value': 'Tn'}, {'value': 'C n'}]
Context :
{'text': '...ve "bad" paths, obtaining the formula:  Cn = C{2n}^{n} - C{2n}^{n-1} = \\frac{1}{n ...', 'length': 2, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'franc'}, {'value': 'Fran'}, {'value': 'fray'}, {'value': 'Frau'}, {'value': 'Frey'}, {'value': 'Freya'}, {'value': 'frat'}, {'value': 'frag'}, {'value': 'fr ac'}]
Context :
{'text': '...rmula:  Cn = C{2n}^{n} - C{2n}^{n-1} = \\frac{1}{n + 1} C{2n}^{n} , {n} \\geq 0  Pract...', 'length': 4, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'get'}, {'value': 'gel'}, {'value': 'gem'}, {'value': 'Geo'}, {'value': 'gen'}, {'value': 'seq'}, {'value': 'GED'}, {'value': 'gee'}, {'value': 'GE'}, {'value': 'GHQ'}, {'value': 'Ge'}, {'value': 'Gen'}, {'value': 'Ger'}]
Context :
{'text': '...n-1} = \\frac{1}{n + 1} C{2n}^{n} , {n} \\geq 0  Practice Problems   Codechef - PANST...', 'length': 3, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'Spot'}]
Context :
{'text': '...Practice Problems   Codechef - PANSTACK Spoj - Skyline UVA - Safe Salutions Codeforc...', 'length': 4, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'Solutions'}]
Context :
{'text': '...ef - PANSTACK Spoj - Skyline UVA - Safe Salutions Codeforces - How many trees? SPOJ - FUN...', 'length': 9, 'offset': 43}

Additional Info : Pull Request Merged


Counter : 14
Github URL : https://github.com/e-maxx-eng/e-maxx-eng
Translation project page : Github Only
Bug Description : Spelling Error (salutions should be salutations)
Command : langTool check en-US catalan-numbers.md
Output :

Possible spelling mistake found
Replacements :
[{'value': 'Catalan'}, {'value': 'Catalina'}, {'value': 'Catalans'}, {'value': 'Catalan a'}]
Context :
{'text': '...s named after the Belgian mathematician Catalana, who lived in the 19th century. (In fac...', 'length': 8, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'Catalan'}, {'value': 'Catalina'}, {'value': 'Catalans'}, {'value': 'Catalan a'}]
Context :
{'text': '...re to Euler, who lived a century before Catalana).  The first few numbers Catalan number...', 'length': 8, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'parenthesis'}, {'value': 'parenthesize'}, {'value': 'parenthesis e'}]
Context :
{'text': '...ldren. The number of ways to completely parenthesise  factors. The number of triangulations ...', 'length': 12, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'triangulation'}, {'value': 'triangulation s'}]
Context :
{'text': '...ly parenthesise  factors. The number of triangulations of a convex polygon with  sides (i.e. t...', 'length': 14, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'Analytic'}, {'value': 'Analytically'}, {'value': 'Analogical'}]
Context :
{'text': '... for the Catalan numbers: Recursive and Analytical. Since, we believe that all the mention...', 'length': 10, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'In'}, {'value': 'On'}, {'value': 'An'}, {'value': 'Can'}, {'value': 'CD'}, {'value': 'Cm'}, {'value': 'CNN'}, {'value': 'Cf'}, {'value': 'Con'}, {'value': 'CNS'}, {'value': 'CV'}, {'value': 'Cl'}, {'value': 'Zn'}, {'value': 'Cw'}, {'value': 'C'}, {'value': 'CA'}, {'value': 'CB'}, {'value': 'CF'}, {'value': 'CO'}, {'value': 'CT'}, {'value': 'CZ'}, {'value': 'Ca'}, {'value': 'Cb'}, {'value': 'Cd'}, {'value': 'Ce'}, {'value': 'Ch'}, {'value': 'Ci'}, {'value': 'Co'}, {'value': 'Cr'}, {'value': 'Cs'}, {'value': 'Ct'}, {'value': 'Cu'}, {'value': 'IN'}, {'value': 'Ln'}, {'value': 'MN'}, {'value': 'Mn'}, {'value': 'N'}, {'value': 'ON'}, {'value': 'RN'}, {'value': 'Rn'}, {'value': 'Sn'}, {'value': 'TN'}, {'value': 'UN'}, {'value': 'Cc'}, {'value': 'Cg'}, {'value': 'Ck'}, {'value': 'Ctn'}, {'value': 'En'}, {'value': 'Kn'}, {'value': 'Tn'}, {'value': 'C n'}]
Context :
{'text': '...to do.  Recursive formula  C0 = C1 = 1  Cn = \\sum{k = 0}^{n-1} Ck C{n-1-k} , {n} \\...', 'length': 2, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'get'}, {'value': 'gel'}, {'value': 'gem'}, {'value': 'Geo'}, {'value': 'gen'}, {'value': 'seq'}, {'value': 'GED'}, {'value': 'gee'}, {'value': 'GE'}, {'value': 'GHQ'}, {'value': 'Ge'}, {'value': 'Gen'}, {'value': 'Ger'}]
Context :
{'text': '... = \\sum{k = 0}^{n-1} Ck C{n-1-k} , {n} \\geq 2   The recurrence formula can be easil...', 'length': 3, 'offset': 43}



Did you forget a comma after a conjunctive/linking adverb?
Replacements :
[{'value': 'Thus,'}]
Context :
{'text': '...ould be a correct sequence of brackets. Thus formula is also divided into 2 parts. I...', 'length': 4, 'offset': 43}



This sentence does not start with an uppercase letter
Replacements :
[{'value': 'Can'}]
Context :
{'text': '... a correct bracket sequence. Example :  can be divided into  and , but cannot be di...', 'length': 3, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'Analytic'}, {'value': 'Analytically'}, {'value': 'Analogical'}]
Context :
{'text': '...ion on .  C++ implementation Show/Hide  Analytical formula  Cn = \\frac{1}{n + 1} C{2n}^{n}...', 'length': 10, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'In'}, {'value': 'On'}, {'value': 'An'}, {'value': 'Can'}, {'value': 'CD'}, {'value': 'Cm'}, {'value': 'CNN'}, {'value': 'Cf'}, {'value': 'Con'}, {'value': 'CNS'}, {'value': 'CV'}, {'value': 'Cl'}, {'value': 'Zn'}, {'value': 'Cw'}, {'value': 'C'}, {'value': 'CA'}, {'value': 'CB'}, {'value': 'CF'}, {'value': 'CO'}, {'value': 'CT'}, {'value': 'CZ'}, {'value': 'Ca'}, {'value': 'Cb'}, {'value': 'Cd'}, {'value': 'Ce'}, {'value': 'Ch'}, {'value': 'Ci'}, {'value': 'Co'}, {'value': 'Cr'}, {'value': 'Cs'}, {'value': 'Ct'}, {'value': 'Cu'}, {'value': 'IN'}, {'value': 'Ln'}, {'value': 'MN'}, {'value': 'Mn'}, {'value': 'N'}, {'value': 'ON'}, {'value': 'RN'}, {'value': 'Rn'}, {'value': 'Sn'}, {'value': 'TN'}, {'value': 'UN'}, {'value': 'Cc'}, {'value': 'Cg'}, {'value': 'Ck'}, {'value': 'Ctn'}, {'value': 'En'}, {'value': 'Kn'}, {'value': 'Tn'}, {'value': 'C n'}]
Context :
{'text': '...entation Show/Hide  Analytical formula  Cn = \\frac{1}{n + 1} C{2n}^{n}  (here  den...', 'length': 2, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'franc'}, {'value': 'Fran'}, {'value': 'fray'}, {'value': 'Frau'}, {'value': 'Frey'}, {'value': 'Freya'}, {'value': 'frat'}, {'value': 'frag'}, {'value': 'fr ac'}]
Context :
{'text': '...on Show/Hide  Analytical formula  Cn = \\frac{1}{n + 1} C{2n}^{n}  (here  denotes the...', 'length': 4, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'In'}, {'value': 'On'}, {'value': 'An'}, {'value': 'Can'}, {'value': 'CD'}, {'value': 'Cm'}, {'value': 'CNN'}, {'value': 'Cf'}, {'value': 'Con'}, {'value': 'CNS'}, {'value': 'CV'}, {'value': 'Cl'}, {'value': 'Zn'}, {'value': 'Cw'}, {'value': 'C'}, {'value': 'CA'}, {'value': 'CB'}, {'value': 'CF'}, {'value': 'CO'}, {'value': 'CT'}, {'value': 'CZ'}, {'value': 'Ca'}, {'value': 'Cb'}, {'value': 'Cd'}, {'value': 'Ce'}, {'value': 'Ch'}, {'value': 'Ci'}, {'value': 'Co'}, {'value': 'Cr'}, {'value': 'Cs'}, {'value': 'Ct'}, {'value': 'Cu'}, {'value': 'IN'}, {'value': 'Ln'}, {'value': 'MN'}, {'value': 'Mn'}, {'value': 'N'}, {'value': 'ON'}, {'value': 'RN'}, {'value': 'Rn'}, {'value': 'Sn'}, {'value': 'TN'}, {'value': 'UN'}, {'value': 'Cc'}, {'value': 'Cg'}, {'value': 'Ck'}, {'value': 'Ctn'}, {'value': 'En'}, {'value': 'Kn'}, {'value': 'Tn'}, {'value': 'C n'}]
Context :
{'text': '...ve "bad" paths, obtaining the formula:  Cn = C{2n}^{n} - C{2n}^{n-1} = \\frac{1}{n ...', 'length': 2, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'franc'}, {'value': 'Fran'}, {'value': 'fray'}, {'value': 'Frau'}, {'value': 'Frey'}, {'value': 'Freya'}, {'value': 'frat'}, {'value': 'frag'}, {'value': 'fr ac'}]
Context :
{'text': '...rmula:  Cn = C{2n}^{n} - C{2n}^{n-1} = \\frac{1}{n + 1} C{2n}^{n} , {n} \\geq 0  Pract...', 'length': 4, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'get'}, {'value': 'gel'}, {'value': 'gem'}, {'value': 'Geo'}, {'value': 'gen'}, {'value': 'seq'}, {'value': 'GED'}, {'value': 'gee'}, {'value': 'GE'}, {'value': 'GHQ'}, {'value': 'Ge'}, {'value': 'Gen'}, {'value': 'Ger'}]
Context :
{'text': '...n-1} = \\frac{1}{n + 1} C{2n}^{n} , {n} \\geq 0  Practice Problems   Codechef - PANST...', 'length': 3, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'Spot'}]
Context :
{'text': '...Practice Problems   Codechef - PANSTACK Spoj - Skyline UVA - Safe Salutions Codeforc...', 'length': 4, 'offset': 43}



Possible spelling mistake found
Replacements :
[{'value': 'Solutions'}]
Context :
{'text': '...ef - PANSTACK Spoj - Skyline UVA - Safe Salutions Codeforces - How many trees? SPOJ - FUN...', 'length': 9, 'offset': 43}

Additional Info : Pull Request Merged


Counter : 15
Github URL : https://github.com/e-maxx-eng/e-maxx-eng
Translation project page : Github Only
Bug Description : Spelling Error (probabilty should be probability)
Command : langTool check en-US inclusion-exclusion.md
Output :

Possible spelling mistake found
Replacements :
[{'value': 'probability'}]
Context :
{'offset': 43, 'length': 10, 'text': '...way to compute the size of a set or the probabilty of complex events. It relates the sizes...'}



Use "an" instead of 'a' if the following word starts with a vowel sound, e.g. 'an article', 'an hour'
Replacements :
[{'value': 'an'}]
Context :
{'offset': 43, 'length': 1, 'text': '...ry If are events and the probability of a event from to occur, then the probabilt...'}



Possible spelling mistake found
Replacements :
[{'value': 'probability'}]
Context :
{'offset': 43, 'length': 10, 'text': '...lity of a event from to occur, then the probabilty of their union (i.e. the probability th...'}



Possible spelling mistake found
Replacements :
[{'value': 'occurring'}]
Context :
{'offset': 43, 'length': 8, 'text': '...rt of the formula). Consider an element occuring in sets . We will show it is counted on...'}



Possible spelling mistake found
Replacements :
[{'value': 'contains'}, {'value': 'contain'}, {'value': 'congaing'}, {'value': 'contain g'}]
Context :
{'offset': 43, 'length': 8, 'text': '...hose terms that include two of the sets containg ; in terms which , the item will be cou...'}



Possible spelling mistake found
Replacements :
[{'value': 'simple'}, {'value': 'samples'}, {'value': 'simpler'}, {'value': 'simplest'}, {'value': 'simplex'}, {'value': 'similes'}, {'value': 'dimples'}, {'value': 'pimples'}, {'value': 'wimples'}, {'value': 'simple s'}]
Context :
{'offset': 43, 'length': 7, 'text': '...lications. First, we will look at three simples tasks "at paper", illustrating applicat...'}



Statistic suggests that 'as' might be the correct word here. Please check.
Replacements :
[{'value': 'as'}]
Context :
{'offset': 43, 'length': 2, 'text': '...t, we will look at three simples tasks "at paper", illustrating applications of th...'}



Possible spelling mistake found
Replacements :
[{'value': 'non negative'}]
Context :
{'offset': 43, 'length': 11, 'text': '...r a moment and just count the number of nonnegative solutions to this equation. This is eas...'}



Did you forget a comma after a conjunctive/linking adverb?
Replacements :
[{'value': 'Thus,'}]
Context :
{'offset': 43, 'length': 4, 'text': '...d definitely belong to the first group. Thus: Similarly, the size of the intersectio...'}



Possible spelling mistake found
Replacements :
[{'value': 'Asymptotic'}]
Context :
{'offset': 43, 'length': 10, 'text': '... product. Here is a C++ implementation: Asmptotics of the solution is . The number of inte...'}



This phrase is duplicated. You should probably leave only "given numbers".
Replacements :
[{'value': 'given numbers'}]
Context :
{'offset': 43, 'length': 27, 'text': '...ich are multiple of at least one of the given numbers Given numbers and number . You want to count the numb...'}



Possible spelling mistake found
Replacements :
[{'value': 'Asymptotic'}]
Context :
{'offset': 43, 'length': 11, 'text': '...ber of multiples of it in the interval. Asymptotics is . The number of strings that satisfy...'}



Consider using "all the".
Replacements :
[{'value': 'all the'}]
Context :
{'offset': 43, 'length': 10, 'text': '... number of strings that satisfy at once all of the specified patterns. To do this, simply ...'}



Possible spelling mistake found
Replacements :
[{'value': 'super sets'}]
Context :
{'offset': 43, 'length': 9, 'text': '...lightly different manner: we sum on all supersets (subsets from the original set of strin...'}



Possible spelling mistake found
Replacements :
[{'value': 'contain'}]
Context :
{'offset': 43, 'length': 8, 'text': '...s from the original set of strings that cointain ), and either add to the current answer...'}



Possible spelling mistake found
Replacements :
[{'value': 'asymptotic'}]
Context :
{'offset': 43, 'length': 10, 'text': '... we will get the final answer: However, asymtotics of this solution is . To improve it, no...'}



Possible typo: you repeated a word
Replacements :
[{'value': 'of'}]
Context :
{'offset': 43, 'length': 5, 'text': '...e taken into account in the computation of of sets with the same sign . Now our solut...'}



Possible spelling mistake found
Replacements :
[{'value': 'asymptotic'}, {'value': 'asymptotic s'}]
Context :
{'offset': 43, 'length': 11, 'text': '...th the same sign . Now our solution has asymptotics . We will now solve the second version ...'}



Possible spelling mistake found
Replacements :
[{'value': 'asymptotic'}, {'value': 'asymptotic s'}]
Context :
{'offset': 43, 'length': 11, 'text': '...k, we also obtained a solution with the asymptotics : The number of ways of going from a ce...'}



Possible spelling mistake found
Replacements :
[{'value': 'initially'}]
Context :
{'offset': 43, 'length': 8, 'text': '... cells are impassable walls. A robot is nitially at the cell (bottom left). The robot ca...'}



Did you forget a comma after a conjunctive/linking adverb?
Replacements :
[{'value': 'Also,'}]
Context :
{'offset': 43, 'length': 4, 'text': '... and in case of equality — coordinate . Also just learn how to solve a problem witho...'}



Possible spelling mistake found
Replacements :
[{'value': 'co prime'}, {'value': 'cop rime'}]
Context :
{'offset': 43, 'length': 7, 'text': "...solution has complexity . The number of coprime quadruples You're giben numbers: . You ..."}



Possible spelling mistake found
Replacements :
[{'value': 'given'}, {'value': 'gibe'}, {'value': 'gibes'}, {'value': 'gibed'}, {'value': 'gibe n'}]
Context :
{'offset': 43, 'length': 5, 'text': "...The number of coprime quadruples You're giben numbers: . You are required to count th..."}



A determiner is probably missing here: "combined the greatest".
Replacements :
[{'value': 'combined the greatest'}]
Context :
{'offset': 43, 'length': 17, 'text': '...ys to choose four numbers so that their combined greatest common divisor is equal to one. We will...'}



This sentence does not start with an uppercase letter
Replacements :
[{'value': 'Where'}]
Context :
{'offset': 43, 'length': 5, 'text': '...f four numbers divisible by a divisor . where is the number of primes in the factoriz...'}



Possible spelling mistake found
Replacements :
[{'value': 'co primes'}, {'value': 'cop rimes'}]
Context :
{'offset': 43, 'length': 8, 'text': '...n-harmonic triplet is made of a pair of coprimes and a third number that is not coprime ...'}



Possible spelling mistake found
Replacements :
[{'value': 'co prime'}, {'value': 'cop rime'}]
Context :
{'offset': 43, 'length': 7, 'text': '...coprimes and a third number that is not coprime with at least one from the pair. Thus, ...'}



Possible spelling mistake found
Replacements :
[{'value': 'co primes'}, {'value': 'cop rimes'}]
Context :
{'offset': 43, 'length': 8, 'text': '...the number of integers from to that are coprimes with multiplied by the number of intege...'}



Possible spelling mistake found
Replacements :
[{'value': 'co prime'}, {'value': 'cop rime'}]
Context :
{'offset': 43, 'length': 7, 'text': '... by the number of integers that are not coprime with . Either or In both of these cases...'}



Possible spelling mistake found
Replacements :
[{'value': 'co primes'}, {'value': 'cop rimes'}]
Context :
{'offset': 43, 'length': 8, 'text': '...olve is to learn to count the number of coprimes to in the interval . Although this prob...'}



Possible spelling mistake found
Replacements :
[{'value': 'mentioned'}, {'value': 'mention'}, {'value': 'mentions'}, {'value': 'mention d'}]
Context :
{'offset': 43, 'length': 8, 'text': '... Although this problem has already been mentiond, the above solution is not suitable her...'}



Possible spelling mistake found
Replacements :
[{'value': 'iteration'}, {'value': 'iterations'}, {'value': 'iterating'}, {'value': 'iteration g'}]
Context :
{'offset': 43, 'length': 10, 'text': '...each of the integers from to , and then iterationg through all subsets of these primes. A ...'}



Did you mean "these"?
Replacements :
[{'value': 'these'}]
Context :
{'offset': 43, 'length': 4, 'text': '...r twice. We will also need to know, for this numbers, how many factors it includes. ...'}



Possible spelling mistake found
Replacements :
[{'value': 'co prime'}, {'value': 'cop rime'}]
Context :
{'offset': 43, 'length': 7, 'text': '... the array — the number of integers not coprime with . To do this, remember how the for...'}



Possible spelling mistake found
Replacements :
[{'value': 'Interstate'}, {'value': 'Iterative'}, {'value': 'Iterate'}]
Context :
{'offset': 43, 'length': 9, 'text': '... in the formula of inclusion-exclusion. Iteratate through all numbers that are multiples ...'}



Possible spelling mistake found
Replacements :
[{'value': 'asymptotic'}, {'value': 'asymptotic s'}]
Context :
{'offset': 43, 'length': 11, 'text': "...ract). Here's a C++ implementation: The asymptotics of our solution is , as for almost ever..."}



Possible spelling mistake found
Replacements :
[{'value': 'derangement'}, {'value': 'derangement s'}]
Context :
{'offset': 43, 'length': 12, 'text': '...r of permutations without fixed points (derangements) Prove that the number of permutations ...'}



Possible spelling mistake found
Replacements :
[{'value': 'element sis'}, {'value': 'elements is'}]
Context :
{'offset': 43, 'length': 10, 'text': '...choose a subset of size from the set of elementsis equal to , we obtain a formula for the ...'}



Possible spelling mistake found
Replacements :
[{'value': 'Thebes'}, {'value': 'the best'}]
Context :
{'offset': 43, 'length': 7, 'text': '...gonsDivOne" [difficulty: medium] Test>>>thebest "HarmonicTriples" (in russian) [difficu...'}



Possible spelling mistake found
Replacements :
[{'value': 'Russian'}]
Context :
{'offset': 43, 'length': 7, 'text': '...m] Test>>>thebest "HarmonicTriples" (in russian) [difficulty: medium] SPOJ #4191 MSKYCO...'}

Additional Info : Pull Request Merged


Counter : 16
Github URL : https://github.com/e-maxx-eng/e-maxx-eng
Translation project page : Github Only
Bug Description : Grammar Error (a event should be an event)
Command : langTool check en-US inclusion-exclusion.md
Output :

Possible spelling mistake found
Replacements :
[{'value': 'probability'}]
Context :
{'offset': 43, 'length': 10, 'text': '...way to compute the size of a set or the probabilty of complex events. It relates the sizes...'}



Use "an" instead of 'a' if the following word starts with a vowel sound, e.g. 'an article', 'an hour'
Replacements :
[{'value': 'an'}]
Context :
{'offset': 43, 'length': 1, 'text': '...ry If are events and the probability of a event from to occur, then the probabilt...'}



Possible spelling mistake found
Replacements :
[{'value': 'probability'}]
Context :
{'offset': 43, 'length': 10, 'text': '...lity of a event from to occur, then the probabilty of their union (i.e. the probability th...'}



Possible spelling mistake found
Replacements :
[{'value': 'occurring'}]
Context :
{'offset': 43, 'length': 8, 'text': '...rt of the formula). Consider an element occuring in sets . We will show it is counted on...'}



Possible spelling mistake found
Replacements :
[{'value': 'contains'}, {'value': 'contain'}, {'value': 'congaing'}, {'value': 'contain g'}]
Context :
{'offset': 43, 'length': 8, 'text': '...hose terms that include two of the sets containg ; in terms which , the item will be cou...'}



Possible spelling mistake found
Replacements :
[{'value': 'simple'}, {'value': 'samples'}, {'value': 'simpler'}, {'value': 'simplest'}, {'value': 'simplex'}, {'value': 'similes'}, {'value': 'dimples'}, {'value': 'pimples'}, {'value': 'wimples'}, {'value': 'simple s'}]
Context :
{'offset': 43, 'length': 7, 'text': '...lications. First, we will look at three simples tasks "at paper", illustrating applicat...'}



Statistic suggests that 'as' might be the correct word here. Please check.
Replacements :
[{'value': 'as'}]
Context :
{'offset': 43, 'length': 2, 'text': '...t, we will look at three simples tasks "at paper", illustrating applications of th...'}



Possible spelling mistake found
Replacements :
[{'value': 'non negative'}]
Context :
{'offset': 43, 'length': 11, 'text': '...r a moment and just count the number of nonnegative solutions to this equation. This is eas...'}



Did you forget a comma after a conjunctive/linking adverb?
Replacements :
[{'value': 'Thus,'}]
Context :
{'offset': 43, 'length': 4, 'text': '...d definitely belong to the first group. Thus: Similarly, the size of the intersectio...'}



Possible spelling mistake found
Replacements :
[{'value': 'Asymptotic'}]
Context :
{'offset': 43, 'length': 10, 'text': '... product. Here is a C++ implementation: Asmptotics of the solution is . The number of inte...'}



This phrase is duplicated. You should probably leave only "given numbers".
Replacements :
[{'value': 'given numbers'}]
Context :
{'offset': 43, 'length': 27, 'text': '...ich are multiple of at least one of the given numbers Given numbers and number . You want to count the numb...'}



Possible spelling mistake found
Replacements :
[{'value': 'Asymptotic'}]
Context :
{'offset': 43, 'length': 11, 'text': '...ber of multiples of it in the interval. Asymptotics is . The number of strings that satisfy...'}



Consider using "all the".
Replacements :
[{'value': 'all the'}]
Context :
{'offset': 43, 'length': 10, 'text': '... number of strings that satisfy at once all of the specified patterns. To do this, simply ...'}



Possible spelling mistake found
Replacements :
[{'value': 'super sets'}]
Context :
{'offset': 43, 'length': 9, 'text': '...lightly different manner: we sum on all supersets (subsets from the original set of strin...'}



Possible spelling mistake found
Replacements :
[{'value': 'contain'}]
Context :
{'offset': 43, 'length': 8, 'text': '...s from the original set of strings that cointain ), and either add to the current answer...'}



Possible spelling mistake found
Replacements :
[{'value': 'asymptotic'}]
Context :
{'offset': 43, 'length': 10, 'text': '... we will get the final answer: However, asymtotics of this solution is . To improve it, no...'}



Possible typo: you repeated a word
Replacements :
[{'value': 'of'}]
Context :
{'offset': 43, 'length': 5, 'text': '...e taken into account in the computation of of sets with the same sign . Now our solut...'}



Possible spelling mistake found
Replacements :
[{'value': 'asymptotic'}, {'value': 'asymptotic s'}]
Context :
{'offset': 43, 'length': 11, 'text': '...th the same sign . Now our solution has asymptotics . We will now solve the second version ...'}



Possible spelling mistake found
Replacements :
[{'value': 'asymptotic'}, {'value': 'asymptotic s'}]
Context :
{'offset': 43, 'length': 11, 'text': '...k, we also obtained a solution with the asymptotics : The number of ways of going from a ce...'}



Possible spelling mistake found
Replacements :
[{'value': 'initially'}]
Context :
{'offset': 43, 'length': 8, 'text': '... cells are impassable walls. A robot is nitially at the cell (bottom left). The robot ca...'}



Did you forget a comma after a conjunctive/linking adverb?
Replacements :
[{'value': 'Also,'}]
Context :
{'offset': 43, 'length': 4, 'text': '... and in case of equality — coordinate . Also just learn how to solve a problem witho...'}



Possible spelling mistake found
Replacements :
[{'value': 'co prime'}, {'value': 'cop rime'}]
Context :
{'offset': 43, 'length': 7, 'text': "...solution has complexity . The number of coprime quadruples You're giben numbers: . You ..."}



Possible spelling mistake found
Replacements :
[{'value': 'given'}, {'value': 'gibe'}, {'value': 'gibes'}, {'value': 'gibed'}, {'value': 'gibe n'}]
Context :
{'offset': 43, 'length': 5, 'text': "...The number of coprime quadruples You're giben numbers: . You are required to count th..."}



A determiner is probably missing here: "combined the greatest".
Replacements :
[{'value': 'combined the greatest'}]
Context :
{'offset': 43, 'length': 17, 'text': '...ys to choose four numbers so that their combined greatest common divisor is equal to one. We will...'}



This sentence does not start with an uppercase letter
Replacements :
[{'value': 'Where'}]
Context :
{'offset': 43, 'length': 5, 'text': '...f four numbers divisible by a divisor . where is the number of primes in the factoriz...'}



Possible spelling mistake found
Replacements :
[{'value': 'co primes'}, {'value': 'cop rimes'}]
Context :
{'offset': 43, 'length': 8, 'text': '...n-harmonic triplet is made of a pair of coprimes and a third number that is not coprime ...'}



Possible spelling mistake found
Replacements :
[{'value': 'co prime'}, {'value': 'cop rime'}]
Context :
{'offset': 43, 'length': 7, 'text': '...coprimes and a third number that is not coprime with at least one from the pair. Thus, ...'}



Possible spelling mistake found
Replacements :
[{'value': 'co primes'}, {'value': 'cop rimes'}]
Context :
{'offset': 43, 'length': 8, 'text': '...the number of integers from to that are coprimes with multiplied by the number of intege...'}



Possible spelling mistake found
Replacements :
[{'value': 'co prime'}, {'value': 'cop rime'}]
Context :
{'offset': 43, 'length': 7, 'text': '... by the number of integers that are not coprime with . Either or In both of these cases...'}



Possible spelling mistake found
Replacements :
[{'value': 'co primes'}, {'value': 'cop rimes'}]
Context :
{'offset': 43, 'length': 8, 'text': '...olve is to learn to count the number of coprimes to in the interval . Although this prob...'}



Possible spelling mistake found
Replacements :
[{'value': 'mentioned'}, {'value': 'mention'}, {'value': 'mentions'}, {'value': 'mention d'}]
Context :
{'offset': 43, 'length': 8, 'text': '... Although this problem has already been mentiond, the above solution is not suitable her...'}



Possible spelling mistake found
Replacements :
[{'value': 'iteration'}, {'value': 'iterations'}, {'value': 'iterating'}, {'value': 'iteration g'}]
Context :
{'offset': 43, 'length': 10, 'text': '...each of the integers from to , and then iterationg through all subsets of these primes. A ...'}



Did you mean "these"?
Replacements :
[{'value': 'these'}]
Context :
{'offset': 43, 'length': 4, 'text': '...r twice. We will also need to know, for this numbers, how many factors it includes. ...'}



Possible spelling mistake found
Replacements :
[{'value': 'co prime'}, {'value': 'cop rime'}]
Context :
{'offset': 43, 'length': 7, 'text': '... the array — the number of integers not coprime with . To do this, remember how the for...'}



Possible spelling mistake found
Replacements :
[{'value': 'Interstate'}, {'value': 'Iterative'}, {'value': 'Iterate'}]
Context :
{'offset': 43, 'length': 9, 'text': '... in the formula of inclusion-exclusion. Iteratate through all numbers that are multiples ...'}



Possible spelling mistake found
Replacements :
[{'value': 'asymptotic'}, {'value': 'asymptotic s'}]
Context :
{'offset': 43, 'length': 11, 'text': "...ract). Here's a C++ implementation: The asymptotics of our solution is , as for almost ever..."}



Possible spelling mistake found
Replacements :
[{'value': 'derangement'}, {'value': 'derangement s'}]
Context :
{'offset': 43, 'length': 12, 'text': '...r of permutations without fixed points (derangements) Prove that the number of permutations ...'}



Possible spelling mistake found
Replacements :
[{'value': 'element sis'}, {'value': 'elements is'}]
Context :
{'offset': 43, 'length': 10, 'text': '...choose a subset of size from the set of elementsis equal to , we obtain a formula for the ...'}



Possible spelling mistake found
Replacements :
[{'value': 'Thebes'}, {'value': 'the best'}]
Context :
{'offset': 43, 'length': 7, 'text': '...gonsDivOne" [difficulty: medium] Test>>>thebest "HarmonicTriples" (in russian) [difficu...'}



Possible spelling mistake found
Replacements :
[{'value': 'Russian'}]
Context :
{'offset': 43, 'length': 7, 'text': '...m] Test>>>thebest "HarmonicTriples" (in russian) [difficulty: medium] SPOJ #4191 MSKYCO...'}

Additional Info : Pull Request Merged


Counter : 17
Github URL : https://github.com/e-maxx-eng/e-maxx-eng
Translation project page : Github Only
Bug Description : Spelling Error (probabilty should be probability)
Command : langTool check en-US inclusion-exclusion.md
Output :

Possible spelling mistake found
Replacements :
[{'value': 'probability'}]
Context :
{'offset': 43, 'length': 10, 'text': '...way to compute the size of a set or the probabilty of complex events. It relates the sizes...'}



Use "an" instead of 'a' if the following word starts with a vowel sound, e.g. 'an article', 'an hour'
Replacements :
[{'value': 'an'}]
Context :
{'offset': 43, 'length': 1, 'text': '...ry If are events and the probability of a event from to occur, then the probabilt...'}



Possible spelling mistake found
Replacements :
[{'value': 'probability'}]
Context :
{'offset': 43, 'length': 10, 'text': '...lity of a event from to occur, then the probabilty of their union (i.e. the probability th...'}



Possible spelling mistake found
Replacements :
[{'value': 'occurring'}]
Context :
{'offset': 43, 'length': 8, 'text': '...rt of the formula). Consider an element occuring in sets . We will show it is counted on...'}



Possible spelling mistake found
Replacements :
[{'value': 'contains'}, {'value': 'contain'}, {'value': 'congaing'}, {'value': 'contain g'}]
Context :
{'offset': 43, 'length': 8, 'text': '...hose terms that include two of the sets containg ; in terms which , the item will be cou...'}



Possible spelling mistake found
Replacements :
[{'value': 'simple'}, {'value': 'samples'}, {'value': 'simpler'}, {'value': 'simplest'}, {'value': 'simplex'}, {'value': 'similes'}, {'value': 'dimples'}, {'value': 'pimples'}, {'value': 'wimples'}, {'value': 'simple s'}]
Context :
{'offset': 43, 'length': 7, 'text': '...lications. First, we will look at three simples tasks "at paper", illustrating applicat...'}



Statistic suggests that 'as' might be the correct word here. Please check.
Replacements :
[{'value': 'as'}]
Context :
{'offset': 43, 'length': 2, 'text': '...t, we will look at three simples tasks "at paper", illustrating applications of th...'}



Possible spelling mistake found
Replacements :
[{'value': 'non negative'}]
Context :
{'offset': 43, 'length': 11, 'text': '...r a moment and just count the number of nonnegative solutions to this equation. This is eas...'}



Did you forget a comma after a conjunctive/linking adverb?
Replacements :
[{'value': 'Thus,'}]
Context :
{'offset': 43, 'length': 4, 'text': '...d definitely belong to the first group. Thus: Similarly, the size of the intersectio...'}



Possible spelling mistake found
Replacements :
[{'value': 'Asymptotic'}]
Context :
{'offset': 43, 'length': 10, 'text': '... product. Here is a C++ implementation: Asmptotics of the solution is . The number of inte...'}



This phrase is duplicated. You should probably leave only "given numbers".
Replacements :
[{'value': 'given numbers'}]
Context :
{'offset': 43, 'length': 27, 'text': '...ich are multiple of at least one of the given numbers Given numbers and number . You want to count the numb...'}



Possible spelling mistake found
Replacements :
[{'value': 'Asymptotic'}]
Context :
{'offset': 43, 'length': 11, 'text': '...ber of multiples of it in the interval. Asymptotics is . The number of strings that satisfy...'}



Consider using "all the".
Replacements :
[{'value': 'all the'}]
Context :
{'offset': 43, 'length': 10, 'text': '... number of strings that satisfy at once all of the specified patterns. To do this, simply ...'}



Possible spelling mistake found
Replacements :
[{'value': 'super sets'}]
Context :
{'offset': 43, 'length': 9, 'text': '...lightly different manner: we sum on all supersets (subsets from the original set of strin...'}



Possible spelling mistake found
Replacements :
[{'value': 'contain'}]
Context :
{'offset': 43, 'length': 8, 'text': '...s from the original set of strings that cointain ), and either add to the current answer...'}



Possible spelling mistake found
Replacements :
[{'value': 'asymptotic'}]
Context :
{'offset': 43, 'length': 10, 'text': '... we will get the final answer: However, asymtotics of this solution is . To improve it, no...'}



Possible typo: you repeated a word
Replacements :
[{'value': 'of'}]
Context :
{'offset': 43, 'length': 5, 'text': '...e taken into account in the computation of of sets with the same sign . Now our solut...'}



Possible spelling mistake found
Replacements :
[{'value': 'asymptotic'}, {'value': 'asymptotic s'}]
Context :
{'offset': 43, 'length': 11, 'text': '...th the same sign . Now our solution has asymptotics . We will now solve the second version ...'}



Possible spelling mistake found
Replacements :
[{'value': 'asymptotic'}, {'value': 'asymptotic s'}]
Context :
{'offset': 43, 'length': 11, 'text': '...k, we also obtained a solution with the asymptotics : The number of ways of going from a ce...'}



Possible spelling mistake found
Replacements :
[{'value': 'initially'}]
Context :
{'offset': 43, 'length': 8, 'text': '... cells are impassable walls. A robot is nitially at the cell (bottom left). The robot ca...'}



Did you forget a comma after a conjunctive/linking adverb?
Replacements :
[{'value': 'Also,'}]
Context :
{'offset': 43, 'length': 4, 'text': '... and in case of equality — coordinate . Also just learn how to solve a problem witho...'}



Possible spelling mistake found
Replacements :
[{'value': 'co prime'}, {'value': 'cop rime'}]
Context :
{'offset': 43, 'length': 7, 'text': "...solution has complexity . The number of coprime quadruples You're giben numbers: . You ..."}



Possible spelling mistake found
Replacements :
[{'value': 'given'}, {'value': 'gibe'}, {'value': 'gibes'}, {'value': 'gibed'}, {'value': 'gibe n'}]
Context :
{'offset': 43, 'length': 5, 'text': "...The number of coprime quadruples You're giben numbers: . You are required to count th..."}



A determiner is probably missing here: "combined the greatest".
Replacements :
[{'value': 'combined the greatest'}]
Context :
{'offset': 43, 'length': 17, 'text': '...ys to choose four numbers so that their combined greatest common divisor is equal to one. We will...'}



This sentence does not start with an uppercase letter
Replacements :
[{'value': 'Where'}]
Context :
{'offset': 43, 'length': 5, 'text': '...f four numbers divisible by a divisor . where is the number of primes in the factoriz...'}



Possible spelling mistake found
Replacements :
[{'value': 'co primes'}, {'value': 'cop rimes'}]
Context :
{'offset': 43, 'length': 8, 'text': '...n-harmonic triplet is made of a pair of coprimes and a third number that is not coprime ...'}



Possible spelling mistake found
Replacements :
[{'value': 'co prime'}, {'value': 'cop rime'}]
Context :
{'offset': 43, 'length': 7, 'text': '...coprimes and a third number that is not coprime with at least one from the pair. Thus, ...'}



Possible spelling mistake found
Replacements :
[{'value': 'co primes'}, {'value': 'cop rimes'}]
Context :
{'offset': 43, 'length': 8, 'text': '...the number of integers from to that are coprimes with multiplied by the number of intege...'}



Possible spelling mistake found
Replacements :
[{'value': 'co prime'}, {'value': 'cop rime'}]
Context :
{'offset': 43, 'length': 7, 'text': '... by the number of integers that are not coprime with . Either or In both of these cases...'}



Possible spelling mistake found
Replacements :
[{'value': 'co primes'}, {'value': 'cop rimes'}]
Context :
{'offset': 43, 'length': 8, 'text': '...olve is to learn to count the number of coprimes to in the interval . Although this prob...'}



Possible spelling mistake found
Replacements :
[{'value': 'mentioned'}, {'value': 'mention'}, {'value': 'mentions'}, {'value': 'mention d'}]
Context :
{'offset': 43, 'length': 8, 'text': '... Although this problem has already been mentiond, the above solution is not suitable her...'}



Possible spelling mistake found
Replacements :
[{'value': 'iteration'}, {'value': 'iterations'}, {'value': 'iterating'}, {'value': 'iteration g'}]
Context :
{'offset': 43, 'length': 10, 'text': '...each of the integers from to , and then iterationg through all subsets of these primes. A ...'}



Did you mean "these"?
Replacements :
[{'value': 'these'}]
Context :
{'offset': 43, 'length': 4, 'text': '...r twice. We will also need to know, for this numbers, how many factors it includes. ...'}



Possible spelling mistake found
Replacements :
[{'value': 'co prime'}, {'value': 'cop rime'}]
Context :
{'offset': 43, 'length': 7, 'text': '... the array — the number of integers not coprime with . To do this, remember how the for...'}



Possible spelling mistake found
Replacements :
[{'value': 'Interstate'}, {'value': 'Iterative'}, {'value': 'Iterate'}]
Context :
{'offset': 43, 'length': 9, 'text': '... in the formula of inclusion-exclusion. Iteratate through all numbers that are multiples ...'}



Possible spelling mistake found
Replacements :
[{'value': 'asymptotic'}, {'value': 'asymptotic s'}]
Context :
{'offset': 43, 'length': 11, 'text': "...ract). Here's a C++ implementation: The asymptotics of our solution is , as for almost ever..."}



Possible spelling mistake found
Replacements :
[{'value': 'derangement'}, {'value': 'derangement s'}]
Context :
{'offset': 43, 'length': 12, 'text': '...r of permutations without fixed points (derangements) Prove that the number of permutations ...'}



Possible spelling mistake found
Replacements :
[{'value': 'element sis'}, {'value': 'elements is'}]
Context :
{'offset': 43, 'length': 10, 'text': '...choose a subset of size from the set of elementsis equal to , we obtain a formula for the ...'}



Possible spelling mistake found
Replacements :
[{'value': 'Thebes'}, {'value': 'the best'}]
Context :
{'offset': 43, 'length': 7, 'text': '...gonsDivOne" [difficulty: medium] Test>>>thebest "HarmonicTriples" (in russian) [difficu...'}



Possible spelling mistake found
Replacements :
[{'value': 'Russian'}]
Context :
{'offset': 43, 'length': 7, 'text': '...m] Test>>>thebest "HarmonicTriples" (in russian) [difficulty: medium] SPOJ #4191 MSKYCO...'}

Additional Info : Pull Request Merged


Counter : 18
Github URL : https://github.com/e-maxx-eng/e-maxx-eng
Translation project page : Github Only
Bug Description : Spelling Error (occuring should be occurring)
Command : langTool check en-US inclusion-exclusion.md
Output :

Possible spelling mistake found
Replacements :
[{'value': 'probability'}]
Context :
{'offset': 43, 'length': 10, 'text': '...way to compute the size of a set or the probabilty of complex events. It relates the sizes...'}



Use "an" instead of 'a' if the following word starts with a vowel sound, e.g. 'an article', 'an hour'
Replacements :
[{'value': 'an'}]
Context :
{'offset': 43, 'length': 1, 'text': '...ry If are events and the probability of a event from to occur, then the probabilt...'}



Possible spelling mistake found
Replacements :
[{'value': 'probability'}]
Context :
{'offset': 43, 'length': 10, 'text': '...lity of a event from to occur, then the probabilty of their union (i.e. the probability th...'}



Possible spelling mistake found
Replacements :
[{'value': 'occurring'}]
Context :
{'offset': 43, 'length': 8, 'text': '...rt of the formula). Consider an element occuring in sets . We will show it is counted on...'}



Possible spelling mistake found
Replacements :
[{'value': 'contains'}, {'value': 'contain'}, {'value': 'congaing'}, {'value': 'contain g'}]
Context :
{'offset': 43, 'length': 8, 'text': '...hose terms that include two of the sets containg ; in terms which , the item will be cou...'}



Possible spelling mistake found
Replacements :
[{'value': 'simple'}, {'value': 'samples'}, {'value': 'simpler'}, {'value': 'simplest'}, {'value': 'simplex'}, {'value': 'similes'}, {'value': 'dimples'}, {'value': 'pimples'}, {'value': 'wimples'}, {'value': 'simple s'}]
Context :
{'offset': 43, 'length': 7, 'text': '...lications. First, we will look at three simples tasks "at paper", illustrating applicat...'}



Statistic suggests that 'as' might be the correct word here. Please check.
Replacements :
[{'value': 'as'}]
Context :
{'offset': 43, 'length': 2, 'text': '...t, we will look at three simples tasks "at paper", illustrating applications of th...'}



Possible spelling mistake found
Replacements :
[{'value': 'non negative'}]
Context :
{'offset': 43, 'length': 11, 'text': '...r a moment and just count the number of nonnegative solutions to this equation. This is eas...'}



Did you forget a comma after a conjunctive/linking adverb?
Replacements :
[{'value': 'Thus,'}]
Context :
{'offset': 43, 'length': 4, 'text': '...d definitely belong to the first group. Thus: Similarly, the size of the intersectio...'}



Possible spelling mistake found
Replacements :
[{'value': 'Asymptotic'}]
Context :
{'offset': 43, 'length': 10, 'text': '... product. Here is a C++ implementation: Asmptotics of the solution is . The number of inte...'}



This phrase is duplicated. You should probably leave only "given numbers".
Replacements :
[{'value': 'given numbers'}]
Context :
{'offset': 43, 'length': 27, 'text': '...ich are multiple of at least one of the given numbers Given numbers and number . You want to count the numb...'}



Possible spelling mistake found
Replacements :
[{'value': 'Asymptotic'}]
Context :
{'offset': 43, 'length': 11, 'text': '...ber of multiples of it in the interval. Asymptotics is . The number of strings that satisfy...'}



Consider using "all the".
Replacements :
[{'value': 'all the'}]
Context :
{'offset': 43, 'length': 10, 'text': '... number of strings that satisfy at once all of the specified patterns. To do this, simply ...'}



Possible spelling mistake found
Replacements :
[{'value': 'super sets'}]
Context :
{'offset': 43, 'length': 9, 'text': '...lightly different manner: we sum on all supersets (subsets from the original set of strin...'}



Possible spelling mistake found
Replacements :
[{'value': 'contain'}]
Context :
{'offset': 43, 'length': 8, 'text': '...s from the original set of strings that cointain ), and either add to the current answer...'}



Possible spelling mistake found
Replacements :
[{'value': 'asymptotic'}]
Context :
{'offset': 43, 'length': 10, 'text': '... we will get the final answer: However, asymtotics of this solution is . To improve it, no...'}



Possible typo: you repeated a word
Replacements :
[{'value': 'of'}]
Context :
{'offset': 43, 'length': 5, 'text': '...e taken into account in the computation of of sets with the same sign . Now our solut...'}



Possible spelling mistake found
Replacements :
[{'value': 'asymptotic'}, {'value': 'asymptotic s'}]
Context :
{'offset': 43, 'length': 11, 'text': '...th the same sign . Now our solution has asymptotics . We will now solve the second version ...'}



Possible spelling mistake found
Replacements :
[{'value': 'asymptotic'}, {'value': 'asymptotic s'}]
Context :
{'offset': 43, 'length': 11, 'text': '...k, we also obtained a solution with the asymptotics : The number of ways of going from a ce...'}



Possible spelling mistake found
Replacements :
[{'value': 'initially'}]
Context :
{'offset': 43, 'length': 8, 'text': '... cells are impassable walls. A robot is nitially at the cell (bottom left). The robot ca...'}



Did you forget a comma after a conjunctive/linking adverb?
Replacements :
[{'value': 'Also,'}]
Context :
{'offset': 43, 'length': 4, 'text': '... and in case of equality — coordinate . Also just learn how to solve a problem witho...'}



Possible spelling mistake found
Replacements :
[{'value': 'co prime'}, {'value': 'cop rime'}]
Context :
{'offset': 43, 'length': 7, 'text': "...solution has complexity . The number of coprime quadruples You're giben numbers: . You ..."}



Possible spelling mistake found
Replacements :
[{'value': 'given'}, {'value': 'gibe'}, {'value': 'gibes'}, {'value': 'gibed'}, {'value': 'gibe n'}]
Context :
{'offset': 43, 'length': 5, 'text': "...The number of coprime quadruples You're giben numbers: . You are required to count th..."}



A determiner is probably missing here: "combined the greatest".
Replacements :
[{'value': 'combined the greatest'}]
Context :
{'offset': 43, 'length': 17, 'text': '...ys to choose four numbers so that their combined greatest common divisor is equal to one. We will...'}



This sentence does not start with an uppercase letter
Replacements :
[{'value': 'Where'}]
Context :
{'offset': 43, 'length': 5, 'text': '...f four numbers divisible by a divisor . where is the number of primes in the factoriz...'}



Possible spelling mistake found
Replacements :
[{'value': 'co primes'}, {'value': 'cop rimes'}]
Context :
{'offset': 43, 'length': 8, 'text': '...n-harmonic triplet is made of a pair of coprimes and a third number that is not coprime ...'}



Possible spelling mistake found
Replacements :
[{'value': 'co prime'}, {'value': 'cop rime'}]
Context :
{'offset': 43, 'length': 7, 'text': '...coprimes and a third number that is not coprime with at least one from the pair. Thus, ...'}



Possible spelling mistake found
Replacements :
[{'value': 'co primes'}, {'value': 'cop rimes'}]
Context :
{'offset': 43, 'length': 8, 'text': '...the number of integers from to that are coprimes with multiplied by the number of intege...'}



Possible spelling mistake found
Replacements :
[{'value': 'co prime'}, {'value': 'cop rime'}]
Context :
{'offset': 43, 'length': 7, 'text': '... by the number of integers that are not coprime with . Either or In both of these cases...'}



Possible spelling mistake found
Replacements :
[{'value': 'co primes'}, {'value': 'cop rimes'}]
Context :
{'offset': 43, 'length': 8, 'text': '...olve is to learn to count the number of coprimes to in the interval . Although this prob...'}



Possible spelling mistake found
Replacements :
[{'value': 'mentioned'}, {'value': 'mention'}, {'value': 'mentions'}, {'value': 'mention d'}]
Context :
{'offset': 43, 'length': 8, 'text': '... Although this problem has already been mentiond, the above solution is not suitable her...'}



Possible spelling mistake found
Replacements :
[{'value': 'iteration'}, {'value': 'iterations'}, {'value': 'iterating'}, {'value': 'iteration g'}]
Context :
{'offset': 43, 'length': 10, 'text': '...each of the integers from to , and then iterationg through all subsets of these primes. A ...'}



Did you mean "these"?
Replacements :
[{'value': 'these'}]
Context :
{'offset': 43, 'length': 4, 'text': '...r twice. We will also need to know, for this numbers, how many factors it includes. ...'}



Possible spelling mistake found
Replacements :
[{'value': 'co prime'}, {'value': 'cop rime'}]
Context :
{'offset': 43, 'length': 7, 'text': '... the array — the number of integers not coprime with . To do this, remember how the for...'}



Possible spelling mistake found
Replacements :
[{'value': 'Interstate'}, {'value': 'Iterative'}, {'value': 'Iterate'}]
Context :
{'offset': 43, 'length': 9, 'text': '... in the formula of inclusion-exclusion. Iteratate through all numbers that are multiples ...'}



Possible spelling mistake found
Replacements :
[{'value': 'asymptotic'}, {'value': 'asymptotic s'}]
Context :
{'offset': 43, 'length': 11, 'text': "...ract). Here's a C++ implementation: The asymptotics of our solution is , as for almost ever..."}



Possible spelling mistake found
Replacements :
[{'value': 'derangement'}, {'value': 'derangement s'}]
Context :
{'offset': 43, 'length': 12, 'text': '...r of permutations without fixed points (derangements) Prove that the number of permutations ...'}



Possible spelling mistake found
Replacements :
[{'value': 'element sis'}, {'value': 'elements is'}]
Context :
{'offset': 43, 'length': 10, 'text': '...choose a subset of size from the set of elementsis equal to , we obtain a formula for the ...'}



Possible spelling mistake found
Replacements :
[{'value': 'Thebes'}, {'value': 'the best'}]
Context :
{'offset': 43, 'length': 7, 'text': '...gonsDivOne" [difficulty: medium] Test>>>thebest "HarmonicTriples" (in russian) [difficu...'}



Possible spelling mistake found
Replacements :
[{'value': 'Russian'}]
Context :
{'offset': 43, 'length': 7, 'text': '...m] Test>>>thebest "HarmonicTriples" (in russian) [difficulty: medium] SPOJ #4191 MSKYCO...'}

Additional Info : Pull Request Merged


Counter : 19
Github URL : https://github.com/e-maxx-eng/e-maxx-eng
Translation project page : Github Only
Bug Description : Typo (containg should be containing)
Command : langTool check en-US inclusion-exclusion.md
Output :

Possible spelling mistake found
Replacements :
[{'value': 'probability'}]
Context :
{'offset': 43, 'length': 10, 'text': '...way to compute the size of a set or the probabilty of complex events. It relates the sizes...'}



Use "an" instead of 'a' if the following word starts with a vowel sound, e.g. 'an article', 'an hour'
Replacements :
[{'value': 'an'}]
Context :
{'offset': 43, 'length': 1, 'text': '...ry If are events and the probability of a event from to occur, then the probabilt...'}



Possible spelling mistake found
Replacements :
[{'value': 'probability'}]
Context :
{'offset': 43, 'length': 10, 'text': '...lity of a event from to occur, then the probabilty of their union (i.e. the probability th...'}



Possible spelling mistake found
Replacements :
[{'value': 'occurring'}]
Context :
{'offset': 43, 'length': 8, 'text': '...rt of the formula). Consider an element occuring in sets . We will show it is counted on...'}



Possible spelling mistake found
Replacements :
[{'value': 'contains'}, {'value': 'contain'}, {'value': 'congaing'}, {'value': 'contain g'}]
Context :
{'offset': 43, 'length': 8, 'text': '...hose terms that include two of the sets containg ; in terms which , the item will be cou...'}



Possible spelling mistake found
Replacements :
[{'value': 'simple'}, {'value': 'samples'}, {'value': 'simpler'}, {'value': 'simplest'}, {'value': 'simplex'}, {'value': 'similes'}, {'value': 'dimples'}, {'value': 'pimples'}, {'value': 'wimples'}, {'value': 'simple s'}]
Context :
{'offset': 43, 'length': 7, 'text': '...lications. First, we will look at three simples tasks "at paper", illustrating applicat...'}



Statistic suggests that 'as' might be the correct word here. Please check.
Replacements :
[{'value': 'as'}]
Context :
{'offset': 43, 'length': 2, 'text': '...t, we will look at three simples tasks "at paper", illustrating applications of th...'}



Possible spelling mistake found
Replacements :
[{'value': 'non negative'}]
Context :
{'offset': 43, 'length': 11, 'text': '...r a moment and just count the number of nonnegative solutions to this equation. This is eas...'}



Did you forget a comma after a conjunctive/linking adverb?
Replacements :
[{'value': 'Thus,'}]
Context :
{'offset': 43, 'length': 4, 'text': '...d definitely belong to the first group. Thus: Similarly, the size of the intersectio...'}



Possible spelling mistake found
Replacements :
[{'value': 'Asymptotic'}]
Context :
{'offset': 43, 'length': 10, 'text': '... product. Here is a C++ implementation: Asmptotics of the solution is . The number of inte...'}



This phrase is duplicated. You should probably leave only "given numbers".
Replacements :
[{'value': 'given numbers'}]
Context :
{'offset': 43, 'length': 27, 'text': '...ich are multiple of at least one of the given numbers Given numbers and number . You want to count the numb...'}



Possible spelling mistake found
Replacements :
[{'value': 'Asymptotic'}]
Context :
{'offset': 43, 'length': 11, 'text': '...ber of multiples of it in the interval. Asymptotics is . The number of strings that satisfy...'}



Consider using "all the".
Replacements :
[{'value': 'all the'}]
Context :
{'offset': 43, 'length': 10, 'text': '... number of strings that satisfy at once all of the specified patterns. To do this, simply ...'}



Possible spelling mistake found
Replacements :
[{'value': 'super sets'}]
Context :
{'offset': 43, 'length': 9, 'text': '...lightly different manner: we sum on all supersets (subsets from the original set of strin...'}



Possible spelling mistake found
Replacements :
[{'value': 'contain'}]
Context :
{'offset': 43, 'length': 8, 'text': '...s from the original set of strings that cointain ), and either add to the current answer...'}



Possible spelling mistake found
Replacements :
[{'value': 'asymptotic'}]
Context :
{'offset': 43, 'length': 10, 'text': '... we will get the final answer: However, asymtotics of this solution is . To improve it, no...'}



Possible typo: you repeated a word
Replacements :
[{'value': 'of'}]
Context :
{'offset': 43, 'length': 5, 'text': '...e taken into account in the computation of of sets with the same sign . Now our solut...'}



Possible spelling mistake found
Replacements :
[{'value': 'asymptotic'}, {'value': 'asymptotic s'}]
Context :
{'offset': 43, 'length': 11, 'text': '...th the same sign . Now our solution has asymptotics . We will now solve the second version ...'}



Possible spelling mistake found
Replacements :
[{'value': 'asymptotic'}, {'value': 'asymptotic s'}]
Context :
{'offset': 43, 'length': 11, 'text': '...k, we also obtained a solution with the asymptotics : The number of ways of going from a ce...'}



Possible spelling mistake found
Replacements :
[{'value': 'initially'}]
Context :
{'offset': 43, 'length': 8, 'text': '... cells are impassable walls. A robot is nitially at the cell (bottom left). The robot ca...'}



Did you forget a comma after a conjunctive/linking adverb?
Replacements :
[{'value': 'Also,'}]
Context :
{'offset': 43, 'length': 4, 'text': '... and in case of equality — coordinate . Also just learn how to solve a problem witho...'}



Possible spelling mistake found
Replacements :
[{'value': 'co prime'}, {'value': 'cop rime'}]
Context :
{'offset': 43, 'length': 7, 'text': "...solution has complexity . The number of coprime quadruples You're giben numbers: . You ..."}



Possible spelling mistake found
Replacements :
[{'value': 'given'}, {'value': 'gibe'}, {'value': 'gibes'}, {'value': 'gibed'}, {'value': 'gibe n'}]
Context :
{'offset': 43, 'length': 5, 'text': "...The number of coprime quadruples You're giben numbers: . You are required to count th..."}



A determiner is probably missing here: "combined the greatest".
Replacements :
[{'value': 'combined the greatest'}]
Context :
{'offset': 43, 'length': 17, 'text': '...ys to choose four numbers so that their combined greatest common divisor is equal to one. We will...'}



This sentence does not start with an uppercase letter
Replacements :
[{'value': 'Where'}]
Context :
{'offset': 43, 'length': 5, 'text': '...f four numbers divisible by a divisor . where is the number of primes in the factoriz...'}



Possible spelling mistake found
Replacements :
[{'value': 'co primes'}, {'value': 'cop rimes'}]
Context :
{'offset': 43, 'length': 8, 'text': '...n-harmonic triplet is made of a pair of coprimes and a third number that is not coprime ...'}



Possible spelling mistake found
Replacements :
[{'value': 'co prime'}, {'value': 'cop rime'}]
Context :
{'offset': 43, 'length': 7, 'text': '...coprimes and a third number that is not coprime with at least one from the pair. Thus, ...'}



Possible spelling mistake found
Replacements :
[{'value': 'co primes'}, {'value': 'cop rimes'}]
Context :
{'offset': 43, 'length': 8, 'text': '...the number of integers from to that are coprimes with multiplied by the number of intege...'}



Possible spelling mistake found
Replacements :
[{'value': 'co prime'}, {'value': 'cop rime'}]
Context :
{'offset': 43, 'length': 7, 'text': '... by the number of integers that are not coprime with . Either or In both of these cases...'}



Possible spelling mistake found
Replacements :
[{'value': 'co primes'}, {'value': 'cop rimes'}]
Context :
{'offset': 43, 'length': 8, 'text': '...olve is to learn to count the number of coprimes to in the interval . Although this prob...'}



Possible spelling mistake found
Replacements :
[{'value': 'mentioned'}, {'value': 'mention'}, {'value': 'mentions'}, {'value': 'mention d'}]
Context :
{'offset': 43, 'length': 8, 'text': '... Although this problem has already been mentiond, the above solution is not suitable her...'}



Possible spelling mistake found
Replacements :
[{'value': 'iteration'}, {'value': 'iterations'}, {'value': 'iterating'}, {'value': 'iteration g'}]
Context :
{'offset': 43, 'length': 10, 'text': '...each of the integers from to , and then iterationg through all subsets of these primes. A ...'}



Did you mean "these"?
Replacements :
[{'value': 'these'}]
Context :
{'offset': 43, 'length': 4, 'text': '...r twice. We will also need to know, for this numbers, how many factors it includes. ...'}



Possible spelling mistake found
Replacements :
[{'value': 'co prime'}, {'value': 'cop rime'}]
Context :
{'offset': 43, 'length': 7, 'text': '... the array — the number of integers not coprime with . To do this, remember how the for...'}



Possible spelling mistake found
Replacements :
[{'value': 'Interstate'}, {'value': 'Iterative'}, {'value': 'Iterate'}]
Context :
{'offset': 43, 'length': 9, 'text': '... in the formula of inclusion-exclusion. Iteratate through all numbers that are multiples ...'}



Possible spelling mistake found
Replacements :
[{'value': 'asymptotic'}, {'value': 'asymptotic s'}]
Context :
{'offset': 43, 'length': 11, 'text': "...ract). Here's a C++ implementation: The asymptotics of our solution is , as for almost ever..."}



Possible spelling mistake found
Replacements :
[{'value': 'derangement'}, {'value': 'derangement s'}]
Context :
{'offset': 43, 'length': 12, 'text': '...r of permutations without fixed points (derangements) Prove that the number of permutations ...'}



Possible spelling mistake found
Replacements :
[{'value': 'element sis'}, {'value': 'elements is'}]
Context :
{'offset': 43, 'length': 10, 'text': '...choose a subset of size from the set of elementsis equal to , we obtain a formula for the ...'}



Possible spelling mistake found
Replacements :
[{'value': 'Thebes'}, {'value': 'the best'}]
Context :
{'offset': 43, 'length': 7, 'text': '...gonsDivOne" [difficulty: medium] Test>>>thebest "HarmonicTriples" (in russian) [difficu...'}



Possible spelling mistake found
Replacements :
[{'value': 'Russian'}]
Context :
{'offset': 43, 'length': 7, 'text': '...m] Test>>>thebest "HarmonicTriples" (in russian) [difficulty: medium] SPOJ #4191 MSKYCO...'}

Additional Info : Pull Request Merged


Counter : 20
Github URL : https://github.com/e-maxx-eng/e-maxx-eng
Translation project page : Github Only
Bug Description : Spelling Error (simples should be simplest)
Command : langTool check en-US inclusion-exclusion.md
Output :

Possible spelling mistake found
Replacements :
[{'value': 'probability'}]
Context :
{'offset': 43, 'length': 10, 'text': '...way to compute the size of a set or the probabilty of complex events. It relates the sizes...'}



Use "an" instead of 'a' if the following word starts with a vowel sound, e.g. 'an article', 'an hour'
Replacements :
[{'value': 'an'}]
Context :
{'offset': 43, 'length': 1, 'text': '...ry If are events and the probability of a event from to occur, then the probabilt...'}



Possible spelling mistake found
Replacements :
[{'value': 'probability'}]
Context :
{'offset': 43, 'length': 10, 'text': '...lity of a event from to occur, then the probabilty of their union (i.e. the probability th...'}



Possible spelling mistake found
Replacements :
[{'value': 'occurring'}]
Context :
{'offset': 43, 'length': 8, 'text': '...rt of the formula). Consider an element occuring in sets . We will show it is counted on...'}



Possible spelling mistake found
Replacements :
[{'value': 'contains'}, {'value': 'contain'}, {'value': 'congaing'}, {'value': 'contain g'}]
Context :
{'offset': 43, 'length': 8, 'text': '...hose terms that include two of the sets containg ; in terms which , the item will be cou...'}



Possible spelling mistake found
Replacements :
[{'value': 'simple'}, {'value': 'samples'}, {'value': 'simpler'}, {'value': 'simplest'}, {'value': 'simplex'}, {'value': 'similes'}, {'value': 'dimples'}, {'value': 'pimples'}, {'value': 'wimples'}, {'value': 'simple s'}]
Context :
{'offset': 43, 'length': 7, 'text': '...lications. First, we will look at three simples tasks "at paper", illustrating applicat...'}



Statistic suggests that 'as' might be the correct word here. Please check.
Replacements :
[{'value': 'as'}]
Context :
{'offset': 43, 'length': 2, 'text': '...t, we will look at three simples tasks "at paper", illustrating applications of th...'}



Possible spelling mistake found
Replacements :
[{'value': 'non negative'}]
Context :
{'offset': 43, 'length': 11, 'text': '...r a moment and just count the number of nonnegative solutions to this equation. This is eas...'}



Did you forget a comma after a conjunctive/linking adverb?
Replacements :
[{'value': 'Thus,'}]
Context :
{'offset': 43, 'length': 4, 'text': '...d definitely belong to the first group. Thus: Similarly, the size of the intersectio...'}



Possible spelling mistake found
Replacements :
[{'value': 'Asymptotic'}]
Context :
{'offset': 43, 'length': 10, 'text': '... product. Here is a C++ implementation: Asmptotics of the solution is . The number of inte...'}



This phrase is duplicated. You should probably leave only "given numbers".
Replacements :
[{'value': 'given numbers'}]
Context :
{'offset': 43, 'length': 27, 'text': '...ich are multiple of at least one of the given numbers Given numbers and number . You want to count the numb...'}



Possible spelling mistake found
Replacements :
[{'value': 'Asymptotic'}]
Context :
{'offset': 43, 'length': 11, 'text': '...ber of multiples of it in the interval. Asymptotics is . The number of strings that satisfy...'}



Consider using "all the".
Replacements :
[{'value': 'all the'}]
Context :
{'offset': 43, 'length': 10, 'text': '... number of strings that satisfy at once all of the specified patterns. To do this, simply ...'}



Possible spelling mistake found
Replacements :
[{'value': 'super sets'}]
Context :
{'offset': 43, 'length': 9, 'text': '...lightly different manner: we sum on all supersets (subsets from the original set of strin...'}



Possible spelling mistake found
Replacements :
[{'value': 'contain'}]
Context :
{'offset': 43, 'length': 8, 'text': '...s from the original set of strings that cointain ), and either add to the current answer...'}



Possible spelling mistake found
Replacements :
[{'value': 'asymptotic'}]
Context :
{'offset': 43, 'length': 10, 'text': '... we will get the final answer: However, asymtotics of this solution is . To improve it, no...'}



Possible typo: you repeated a word
Replacements :
[{'value': 'of'}]
Context :
{'offset': 43, 'length': 5, 'text': '...e taken into account in the computation of of sets with the same sign . Now our solut...'}



Possible spelling mistake found
Replacements :
[{'value': 'asymptotic'}, {'value': 'asymptotic s'}]
Context :
{'offset': 43, 'length': 11, 'text': '...th the same sign . Now our solution has asymptotics . We will now solve the second version ...'}



Possible spelling mistake found
Replacements :
[{'value': 'asymptotic'}, {'value': 'asymptotic s'}]
Context :
{'offset': 43, 'length': 11, 'text': '...k, we also obtained a solution with the asymptotics : The number of ways of going from a ce...'}



Possible spelling mistake found
Replacements :
[{'value': 'initially'}]
Context :
{'offset': 43, 'length': 8, 'text': '... cells are impassable walls. A robot is nitially at the cell (bottom left). The robot ca...'}



Did you forget a comma after a conjunctive/linking adverb?
Replacements :
[{'value': 'Also,'}]
Context :
{'offset': 43, 'length': 4, 'text': '... and in case of equality — coordinate . Also just learn how to solve a problem witho...'}



Possible spelling mistake found
Replacements :
[{'value': 'co prime'}, {'value': 'cop rime'}]
Context :
{'offset': 43, 'length': 7, 'text': "...solution has complexity . The number of coprime quadruples You're giben numbers: . You ..."}



Possible spelling mistake found
Replacements :
[{'value': 'given'}, {'value': 'gibe'}, {'value': 'gibes'}, {'value': 'gibed'}, {'value': 'gibe n'}]
Context :
{'offset': 43, 'length': 5, 'text': "...The number of coprime quadruples You're giben numbers: . You are required to count th..."}



A determiner is probably missing here: "combined the greatest".
Replacements :
[{'value': 'combined the greatest'}]
Context :
{'offset': 43, 'length': 17, 'text': '...ys to choose four numbers so that their combined greatest common divisor is equal to one. We will...'}



This sentence does not start with an uppercase letter
Replacements :
[{'value': 'Where'}]
Context :
{'offset': 43, 'length': 5, 'text': '...f four numbers divisible by a divisor . where is the number of primes in the factoriz...'}



Possible spelling mistake found
Replacements :
[{'value': 'co primes'}, {'value': 'cop rimes'}]
Context :
{'offset': 43, 'length': 8, 'text': '...n-harmonic triplet is made of a pair of coprimes and a third number that is not coprime ...'}



Possible spelling mistake found
Replacements :
[{'value': 'co prime'}, {'value': 'cop rime'}]
Context :
{'offset': 43, 'length': 7, 'text': '...coprimes and a third number that is not coprime with at least one from the pair. Thus, ...'}



Possible spelling mistake found
Replacements :
[{'value': 'co primes'}, {'value': 'cop rimes'}]
Context :
{'offset': 43, 'length': 8, 'text': '...the number of integers from to that are coprimes with multiplied by the number of intege...'}



Possible spelling mistake found
Replacements :
[{'value': 'co prime'}, {'value': 'cop rime'}]
Context :
{'offset': 43, 'length': 7, 'text': '... by the number of integers that are not coprime with . Either or In both of these cases...'}



Possible spelling mistake found
Replacements :
[{'value': 'co primes'}, {'value': 'cop rimes'}]
Context :
{'offset': 43, 'length': 8, 'text': '...olve is to learn to count the number of coprimes to in the interval . Although this prob...'}



Possible spelling mistake found
Replacements :
[{'value': 'mentioned'}, {'value': 'mention'}, {'value': 'mentions'}, {'value': 'mention d'}]
Context :
{'offset': 43, 'length': 8, 'text': '... Although this problem has already been mentiond, the above solution is not suitable her...'}



Possible spelling mistake found
Replacements :
[{'value': 'iteration'}, {'value': 'iterations'}, {'value': 'iterating'}, {'value': 'iteration g'}]
Context :
{'offset': 43, 'length': 10, 'text': '...each of the integers from to , and then iterationg through all subsets of these primes. A ...'}



Did you mean "these"?
Replacements :
[{'value': 'these'}]
Context :
{'offset': 43, 'length': 4, 'text': '...r twice. We will also need to know, for this numbers, how many factors it includes. ...'}



Possible spelling mistake found
Replacements :
[{'value': 'co prime'}, {'value': 'cop rime'}]
Context :
{'offset': 43, 'length': 7, 'text': '... the array — the number of integers not coprime with . To do this, remember how the for...'}



Possible spelling mistake found
Replacements :
[{'value': 'Interstate'}, {'value': 'Iterative'}, {'value': 'Iterate'}]
Context :
{'offset': 43, 'length': 9, 'text': '... in the formula of inclusion-exclusion. Iteratate through all numbers that are multiples ...'}



Possible spelling mistake found
Replacements :
[{'value': 'asymptotic'}, {'value': 'asymptotic s'}]
Context :
{'offset': 43, 'length': 11, 'text': "...ract). Here's a C++ implementation: The asymptotics of our solution is , as for almost ever..."}



Possible spelling mistake found
Replacements :
[{'value': 'derangement'}, {'value': 'derangement s'}]
Context :
{'offset': 43, 'length': 12, 'text': '...r of permutations without fixed points (derangements) Prove that the number of permutations ...'}



Possible spelling mistake found
Replacements :
[{'value': 'element sis'}, {'value': 'elements is'}]
Context :
{'offset': 43, 'length': 10, 'text': '...choose a subset of size from the set of elementsis equal to , we obtain a formula for the ...'}



Possible spelling mistake found
Replacements :
[{'value': 'Thebes'}, {'value': 'the best'}]
Context :
{'offset': 43, 'length': 7, 'text': '...gonsDivOne" [difficulty: medium] Test>>>thebest "HarmonicTriples" (in russian) [difficu...'}



Possible spelling mistake found
Replacements :
[{'value': 'Russian'}]
Context :
{'offset': 43, 'length': 7, 'text': '...m] Test>>>thebest "HarmonicTriples" (in russian) [difficulty: medium] SPOJ #4191 MSKYCO...'}

Additional Info : Pull Request Merged


Counter : 21
Github URL : https://github.com/e-maxx-eng/e-maxx-eng
Translation project page : Github Only
Bug Description : Spelling Error (Asmptotics should be Asymptotics)
Command : langTool check en-US inclusion-exclusion.md
Output :

Possible spelling mistake found
Replacements :
[{'value': 'probability'}]
Context :
{'offset': 43, 'length': 10, 'text': '...way to compute the size of a set or the probabilty of complex events. It relates the sizes...'}



Use "an" instead of 'a' if the following word starts with a vowel sound, e.g. 'an article', 'an hour'
Replacements :
[{'value': 'an'}]
Context :
{'offset': 43, 'length': 1, 'text': '...ry If are events and the probability of a event from to occur, then the probabilt...'}



Possible spelling mistake found
Replacements :
[{'value': 'probability'}]
Context :
{'offset': 43, 'length': 10, 'text': '...lity of a event from to occur, then the probabilty of their union (i.e. the probability th...'}



Possible spelling mistake found
Replacements :
[{'value': 'occurring'}]
Context :
{'offset': 43, 'length': 8, 'text': '...rt of the formula). Consider an element occuring in sets . We will show it is counted on...'}



Possible spelling mistake found
Replacements :
[{'value': 'contains'}, {'value': 'contain'}, {'value': 'congaing'}, {'value': 'contain g'}]
Context :
{'offset': 43, 'length': 8, 'text': '...hose terms that include two of the sets containg ; in terms which , the item will be cou...'}



Possible spelling mistake found
Replacements :
[{'value': 'simple'}, {'value': 'samples'}, {'value': 'simpler'}, {'value': 'simplest'}, {'value': 'simplex'}, {'value': 'similes'}, {'value': 'dimples'}, {'value': 'pimples'}, {'value': 'wimples'}, {'value': 'simple s'}]
Context :
{'offset': 43, 'length': 7, 'text': '...lications. First, we will look at three simples tasks "at paper", illustrating applicat...'}



Statistic suggests that 'as' might be the correct word here. Please check.
Replacements :
[{'value': 'as'}]
Context :
{'offset': 43, 'length': 2, 'text': '...t, we will look at three simples tasks "at paper", illustrating applications of th...'}



Possible spelling mistake found
Replacements :
[{'value': 'non negative'}]
Context :
{'offset': 43, 'length': 11, 'text': '...r a moment and just count the number of nonnegative solutions to this equation. This is eas...'}



Did you forget a comma after a conjunctive/linking adverb?
Replacements :
[{'value': 'Thus,'}]
Context :
{'offset': 43, 'length': 4, 'text': '...d definitely belong to the first group. Thus: Similarly, the size of the intersectio...'}



Possible spelling mistake found
Replacements :
[{'value': 'Asymptotic'}]
Context :
{'offset': 43, 'length': 10, 'text': '... product. Here is a C++ implementation: Asmptotics of the solution is . The number of inte...'}



This phrase is duplicated. You should probably leave only "given numbers".
Replacements :
[{'value': 'given numbers'}]
Context :
{'offset': 43, 'length': 27, 'text': '...ich are multiple of at least one of the given numbers Given numbers and number . You want to count the numb...'}



Possible spelling mistake found
Replacements :
[{'value': 'Asymptotic'}]
Context :
{'offset': 43, 'length': 11, 'text': '...ber of multiples of it in the interval. Asymptotics is . The number of strings that satisfy...'}



Consider using "all the".
Replacements :
[{'value': 'all the'}]
Context :
{'offset': 43, 'length': 10, 'text': '... number of strings that satisfy at once all of the specified patterns. To do this, simply ...'}



Possible spelling mistake found
Replacements :
[{'value': 'super sets'}]
Context :
{'offset': 43, 'length': 9, 'text': '...lightly different manner: we sum on all supersets (subsets from the original set of strin...'}



Possible spelling mistake found
Replacements :
[{'value': 'contain'}]
Context :
{'offset': 43, 'length': 8, 'text': '...s from the original set of strings that cointain ), and either add to the current answer...'}



Possible spelling mistake found
Replacements :
[{'value': 'asymptotic'}]
Context :
{'offset': 43, 'length': 10, 'text': '... we will get the final answer: However, asymtotics of this solution is . To improve it, no...'}



Possible typo: you repeated a word
Replacements :
[{'value': 'of'}]
Context :
{'offset': 43, 'length': 5, 'text': '...e taken into account in the computation of of sets with the same sign . Now our solut...'}



Possible spelling mistake found
Replacements :
[{'value': 'asymptotic'}, {'value': 'asymptotic s'}]
Context :
{'offset': 43, 'length': 11, 'text': '...th the same sign . Now our solution has asymptotics . We will now solve the second version ...'}



Possible spelling mistake found
Replacements :
[{'value': 'asymptotic'}, {'value': 'asymptotic s'}]
Context :
{'offset': 43, 'length': 11, 'text': '...k, we also obtained a solution with the asymptotics : The number of ways of going from a ce...'}



Possible spelling mistake found
Replacements :
[{'value': 'initially'}]
Context :
{'offset': 43, 'length': 8, 'text': '... cells are impassable walls. A robot is nitially at the cell (bottom left). The robot ca...'}



Did you forget a comma after a conjunctive/linking adverb?
Replacements :
[{'value': 'Also,'}]
Context :
{'offset': 43, 'length': 4, 'text': '... and in case of equality — coordinate . Also just learn how to solve a problem witho...'}



Possible spelling mistake found
Replacements :
[{'value': 'co prime'}, {'value': 'cop rime'}]
Context :
{'offset': 43, 'length': 7, 'text': "...solution has complexity . The number of coprime quadruples You're giben numbers: . You ..."}



Possible spelling mistake found
Replacements :
[{'value': 'given'}, {'value': 'gibe'}, {'value': 'gibes'}, {'value': 'gibed'}, {'value': 'gibe n'}]
Context :
{'offset': 43, 'length': 5, 'text': "...The number of coprime quadruples You're giben numbers: . You are required to count th..."}



A determiner is probably missing here: "combined the greatest".
Replacements :
[{'value': 'combined the greatest'}]
Context :
{'offset': 43, 'length': 17, 'text': '...ys to choose four numbers so that their combined greatest common divisor is equal to one. We will...'}



This sentence does not start with an uppercase letter
Replacements :
[{'value': 'Where'}]
Context :
{'offset': 43, 'length': 5, 'text': '...f four numbers divisible by a divisor . where is the number of primes in the factoriz...'}



Possible spelling mistake found
Replacements :
[{'value': 'co primes'}, {'value': 'cop rimes'}]
Context :
{'offset': 43, 'length': 8, 'text': '...n-harmonic triplet is made of a pair of coprimes and a third number that is not coprime ...'}



Possible spelling mistake found
Replacements :
[{'value': 'co prime'}, {'value': 'cop rime'}]
Context :
{'offset': 43, 'length': 7, 'text': '...coprimes and a third number that is not coprime with at least one from the pair. Thus, ...'}



Possible spelling mistake found
Replacements :
[{'value': 'co primes'}, {'value': 'cop rimes'}]
Context :
{'offset': 43, 'length': 8, 'text': '...the number of integers from to that are coprimes with multiplied by the number of intege...'}



Possible spelling mistake found
Replacements :
[{'value': 'co prime'}, {'value': 'cop rime'}]
Context :
{'offset': 43, 'length': 7, 'text': '... by the number of integers that are not coprime with . Either or In both of these cases...'}



Possible spelling mistake found
Replacements :
[{'value': 'co primes'}, {'value': 'cop rimes'}]
Context :
{'offset': 43, 'length': 8, 'text': '...olve is to learn to count the number of coprimes to in the interval . Although this prob...'}



Possible spelling mistake found
Replacements :
[{'value': 'mentioned'}, {'value': 'mention'}, {'value': 'mentions'}, {'value': 'mention d'}]
Context :
{'offset': 43, 'length': 8, 'text': '... Although this problem has already been mentiond, the above solution is not suitable her...'}



Possible spelling mistake found
Replacements :
[{'value': 'iteration'}, {'value': 'iterations'}, {'value': 'iterating'}, {'value': 'iteration g'}]
Context :
{'offset': 43, 'length': 10, 'text': '...each of the integers from to , and then iterationg through all subsets of these primes. A ...'}



Did you mean "these"?
Replacements :
[{'value': 'these'}]
Context :
{'offset': 43, 'length': 4, 'text': '...r twice. We will also need to know, for this numbers, how many factors it includes. ...'}



Possible spelling mistake found
Replacements :
[{'value': 'co prime'}, {'value': 'cop rime'}]
Context :
{'offset': 43, 'length': 7, 'text': '... the array — the number of integers not coprime with . To do this, remember how the for...'}



Possible spelling mistake found
Replacements :
[{'value': 'Interstate'}, {'value': 'Iterative'}, {'value': 'Iterate'}]
Context :
{'offset': 43, 'length': 9, 'text': '... in the formula of inclusion-exclusion. Iteratate through all numbers that are multiples ...'}



Possible spelling mistake found
Replacements :
[{'value': 'asymptotic'}, {'value': 'asymptotic s'}]
Context :
{'offset': 43, 'length': 11, 'text': "...ract). Here's a C++ implementation: The asymptotics of our solution is , as for almost ever..."}



Possible spelling mistake found
Replacements :
[{'value': 'derangement'}, {'value': 'derangement s'}]
Context :
{'offset': 43, 'length': 12, 'text': '...r of permutations without fixed points (derangements) Prove that the number of permutations ...'}



Possible spelling mistake found
Replacements :
[{'value': 'element sis'}, {'value': 'elements is'}]
Context :
{'offset': 43, 'length': 10, 'text': '...choose a subset of size from the set of elementsis equal to , we obtain a formula for the ...'}



Possible spelling mistake found
Replacements :
[{'value': 'Thebes'}, {'value': 'the best'}]
Context :
{'offset': 43, 'length': 7, 'text': '...gonsDivOne" [difficulty: medium] Test>>>thebest "HarmonicTriples" (in russian) [difficu...'}



Possible spelling mistake found
Replacements :
[{'value': 'Russian'}]
Context :
{'offset': 43, 'length': 7, 'text': '...m] Test>>>thebest "HarmonicTriples" (in russian) [difficulty: medium] SPOJ #4191 MSKYCO...'}

Additional Info : Pull Request Merged


Counter : 22
Github URL : https://github.com/e-maxx-eng/e-maxx-eng
Translation project page : Github Only
Bug Description : Spelling Error (cointain should be contain)
Command : langTool check en-US inclusion-exclusion.md
Output :

Possible spelling mistake found
Replacements :
[{'value': 'probability'}]
Context :
{'offset': 43, 'length': 10, 'text': '...way to compute the size of a set or the probabilty of complex events. It relates the sizes...'}



Use "an" instead of 'a' if the following word starts with a vowel sound, e.g. 'an article', 'an hour'
Replacements :
[{'value': 'an'}]
Context :
{'offset': 43, 'length': 1, 'text': '...ry If are events and the probability of a event from to occur, then the probabilt...'}



Possible spelling mistake found
Replacements :
[{'value': 'probability'}]
Context :
{'offset': 43, 'length': 10, 'text': '...lity of a event from to occur, then the probabilty of their union (i.e. the probability th...'}



Possible spelling mistake found
Replacements :
[{'value': 'occurring'}]
Context :
{'offset': 43, 'length': 8, 'text': '...rt of the formula). Consider an element occuring in sets . We will show it is counted on...'}



Possible spelling mistake found
Replacements :
[{'value': 'contains'}, {'value': 'contain'}, {'value': 'congaing'}, {'value': 'contain g'}]
Context :
{'offset': 43, 'length': 8, 'text': '...hose terms that include two of the sets containg ; in terms which , the item will be cou...'}



Possible spelling mistake found
Replacements :
[{'value': 'simple'}, {'value': 'samples'}, {'value': 'simpler'}, {'value': 'simplest'}, {'value': 'simplex'}, {'value': 'similes'}, {'value': 'dimples'}, {'value': 'pimples'}, {'value': 'wimples'}, {'value': 'simple s'}]
Context :
{'offset': 43, 'length': 7, 'text': '...lications. First, we will look at three simples tasks "at paper", illustrating applicat...'}



Statistic suggests that 'as' might be the correct word here. Please check.
Replacements :
[{'value': 'as'}]
Context :
{'offset': 43, 'length': 2, 'text': '...t, we will look at three simples tasks "at paper", illustrating applications of th...'}



Possible spelling mistake found
Replacements :
[{'value': 'non negative'}]
Context :
{'offset': 43, 'length': 11, 'text': '...r a moment and just count the number of nonnegative solutions to this equation. This is eas...'}



Did you forget a comma after a conjunctive/linking adverb?
Replacements :
[{'value': 'Thus,'}]
Context :
{'offset': 43, 'length': 4, 'text': '...d definitely belong to the first group. Thus: Similarly, the size of the intersectio...'}



Possible spelling mistake found
Replacements :
[{'value': 'Asymptotic'}]
Context :
{'offset': 43, 'length': 10, 'text': '... product. Here is a C++ implementation: Asmptotics of the solution is . The number of inte...'}



This phrase is duplicated. You should probably leave only "given numbers".
Replacements :
[{'value': 'given numbers'}]
Context :
{'offset': 43, 'length': 27, 'text': '...ich are multiple of at least one of the given numbers Given numbers and number . You want to count the numb...'}



Possible spelling mistake found
Replacements :
[{'value': 'Asymptotic'}]
Context :
{'offset': 43, 'length': 11, 'text': '...ber of multiples of it in the interval. Asymptotics is . The number of strings that satisfy...'}



Consider using "all the".
Replacements :
[{'value': 'all the'}]
Context :
{'offset': 43, 'length': 10, 'text': '... number of strings that satisfy at once all of the specified patterns. To do this, simply ...'}



Possible spelling mistake found
Replacements :
[{'value': 'super sets'}]
Context :
{'offset': 43, 'length': 9, 'text': '...lightly different manner: we sum on all supersets (subsets from the original set of strin...'}



Possible spelling mistake found
Replacements :
[{'value': 'contain'}]
Context :
{'offset': 43, 'length': 8, 'text': '...s from the original set of strings that cointain ), and either add to the current answer...'}



Possible spelling mistake found
Replacements :
[{'value': 'asymptotic'}]
Context :
{'offset': 43, 'length': 10, 'text': '... we will get the final answer: However, asymtotics of this solution is . To improve it, no...'}



Possible typo: you repeated a word
Replacements :
[{'value': 'of'}]
Context :
{'offset': 43, 'length': 5, 'text': '...e taken into account in the computation of of sets with the same sign . Now our solut...'}



Possible spelling mistake found
Replacements :
[{'value': 'asymptotic'}, {'value': 'asymptotic s'}]
Context :
{'offset': 43, 'length': 11, 'text': '...th the same sign . Now our solution has asymptotics . We will now solve the second version ...'}



Possible spelling mistake found
Replacements :
[{'value': 'asymptotic'}, {'value': 'asymptotic s'}]
Context :
{'offset': 43, 'length': 11, 'text': '...k, we also obtained a solution with the asymptotics : The number of ways of going from a ce...'}



Possible spelling mistake found
Replacements :
[{'value': 'initially'}]
Context :
{'offset': 43, 'length': 8, 'text': '... cells are impassable walls. A robot is nitially at the cell (bottom left). The robot ca...'}



Did you forget a comma after a conjunctive/linking adverb?
Replacements :
[{'value': 'Also,'}]
Context :
{'offset': 43, 'length': 4, 'text': '... and in case of equality — coordinate . Also just learn how to solve a problem witho...'}



Possible spelling mistake found
Replacements :
[{'value': 'co prime'}, {'value': 'cop rime'}]
Context :
{'offset': 43, 'length': 7, 'text': "...solution has complexity . The number of coprime quadruples You're giben numbers: . You ..."}



Possible spelling mistake found
Replacements :
[{'value': 'given'}, {'value': 'gibe'}, {'value': 'gibes'}, {'value': 'gibed'}, {'value': 'gibe n'}]
Context :
{'offset': 43, 'length': 5, 'text': "...The number of coprime quadruples You're giben numbers: . You are required to count th..."}



A determiner is probably missing here: "combined the greatest".
Replacements :
[{'value': 'combined the greatest'}]
Context :
{'offset': 43, 'length': 17, 'text': '...ys to choose four numbers so that their combined greatest common divisor is equal to one. We will...'}



This sentence does not start with an uppercase letter
Replacements :
[{'value': 'Where'}]
Context :
{'offset': 43, 'length': 5, 'text': '...f four numbers divisible by a divisor . where is the number of primes in the factoriz...'}



Possible spelling mistake found
Replacements :
[{'value': 'co primes'}, {'value': 'cop rimes'}]
Context :
{'offset': 43, 'length': 8, 'text': '...n-harmonic triplet is made of a pair of coprimes and a third number that is not coprime ...'}



Possible spelling mistake found
Replacements :
[{'value': 'co prime'}, {'value': 'cop rime'}]
Context :
{'offset': 43, 'length': 7, 'text': '...coprimes and a third number that is not coprime with at least one from the pair. Thus, ...'}



Possible spelling mistake found
Replacements :
[{'value': 'co primes'}, {'value': 'cop rimes'}]
Context :
{'offset': 43, 'length': 8, 'text': '...the number of integers from to that are coprimes with multiplied by the number of intege...'}



Possible spelling mistake found
Replacements :
[{'value': 'co prime'}, {'value': 'cop rime'}]
Context :
{'offset': 43, 'length': 7, 'text': '... by the number of integers that are not coprime with . Either or In both of these cases...'}



Possible spelling mistake found
Replacements :
[{'value': 'co primes'}, {'value': 'cop rimes'}]
Context :
{'offset': 43, 'length': 8, 'text': '...olve is to learn to count the number of coprimes to in the interval . Although this prob...'}



Possible spelling mistake found
Replacements :
[{'value': 'mentioned'}, {'value': 'mention'}, {'value': 'mentions'}, {'value': 'mention d'}]
Context :
{'offset': 43, 'length': 8, 'text': '... Although this problem has already been mentiond, the above solution is not suitable her...'}



Possible spelling mistake found
Replacements :
[{'value': 'iteration'}, {'value': 'iterations'}, {'value': 'iterating'}, {'value': 'iteration g'}]
Context :
{'offset': 43, 'length': 10, 'text': '...each of the integers from to , and then iterationg through all subsets of these primes. A ...'}



Did you mean "these"?
Replacements :
[{'value': 'these'}]
Context :
{'offset': 43, 'length': 4, 'text': '...r twice. We will also need to know, for this numbers, how many factors it includes. ...'}



Possible spelling mistake found
Replacements :
[{'value': 'co prime'}, {'value': 'cop rime'}]
Context :
{'offset': 43, 'length': 7, 'text': '... the array — the number of integers not coprime with . To do this, remember how the for...'}



Possible spelling mistake found
Replacements :
[{'value': 'Interstate'}, {'value': 'Iterative'}, {'value': 'Iterate'}]
Context :
{'offset': 43, 'length': 9, 'text': '... in the formula of inclusion-exclusion. Iteratate through all numbers that are multiples ...'}



Possible spelling mistake found
Replacements :
[{'value': 'asymptotic'}, {'value': 'asymptotic s'}]
Context :
{'offset': 43, 'length': 11, 'text': "...ract). Here's a C++ implementation: The asymptotics of our solution is , as for almost ever..."}



Possible spelling mistake found
Replacements :
[{'value': 'derangement'}, {'value': 'derangement s'}]
Context :
{'offset': 43, 'length': 12, 'text': '...r of permutations without fixed points (derangements) Prove that the number of permutations ...'}



Possible spelling mistake found
Replacements :
[{'value': 'element sis'}, {'value': 'elements is'}]
Context :
{'offset': 43, 'length': 10, 'text': '...choose a subset of size from the set of elementsis equal to , we obtain a formula for the ...'}



Possible spelling mistake found
Replacements :
[{'value': 'Thebes'}, {'value': 'the best'}]
Context :
{'offset': 43, 'length': 7, 'text': '...gonsDivOne" [difficulty: medium] Test>>>thebest "HarmonicTriples" (in russian) [difficu...'}



Possible spelling mistake found
Replacements :
[{'value': 'Russian'}]
Context :
{'offset': 43, 'length': 7, 'text': '...m] Test>>>thebest "HarmonicTriples" (in russian) [difficulty: medium] SPOJ #4191 MSKYCO...'}

Additional Info : Pull Request Merged


Counter : 23
Github URL : https://github.com/e-maxx-eng/e-maxx-eng
Translation project page : Github Only
Bug Description : Spelling Error (asymtotics should be asymptotics)
Command : langTool check en-US inclusion-exclusion.md
Output :

Possible spelling mistake found
Replacements :
[{'value': 'probability'}]
Context :
{'offset': 43, 'length': 10, 'text': '...way to compute the size of a set or the probabilty of complex events. It relates the sizes...'}



Use "an" instead of 'a' if the following word starts with a vowel sound, e.g. 'an article', 'an hour'
Replacements :
[{'value': 'an'}]
Context :
{'offset': 43, 'length': 1, 'text': '...ry If are events and the probability of a event from to occur, then the probabilt...'}



Possible spelling mistake found
Replacements :
[{'value': 'probability'}]
Context :
{'offset': 43, 'length': 10, 'text': '...lity of a event from to occur, then the probabilty of their union (i.e. the probability th...'}



Possible spelling mistake found
Replacements :
[{'value': 'occurring'}]
Context :
{'offset': 43, 'length': 8, 'text': '...rt of the formula). Consider an element occuring in sets . We will show it is counted on...'}



Possible spelling mistake found
Replacements :
[{'value': 'contains'}, {'value': 'contain'}, {'value': 'congaing'}, {'value': 'contain g'}]
Context :
{'offset': 43, 'length': 8, 'text': '...hose terms that include two of the sets containg ; in terms which , the item will be cou...'}



Possible spelling mistake found
Replacements :
[{'value': 'simple'}, {'value': 'samples'}, {'value': 'simpler'}, {'value': 'simplest'}, {'value': 'simplex'}, {'value': 'similes'}, {'value': 'dimples'}, {'value': 'pimples'}, {'value': 'wimples'}, {'value': 'simple s'}]
Context :
{'offset': 43, 'length': 7, 'text': '...lications. First, we will look at three simples tasks "at paper", illustrating applicat...'}



Statistic suggests that 'as' might be the correct word here. Please check.
Replacements :
[{'value': 'as'}]
Context :
{'offset': 43, 'length': 2, 'text': '...t, we will look at three simples tasks "at paper", illustrating applications of th...'}



Possible spelling mistake found
Replacements :
[{'value': 'non negative'}]
Context :
{'offset': 43, 'length': 11, 'text': '...r a moment and just count the number of nonnegative solutions to this equation. This is eas...'}



Did you forget a comma after a conjunctive/linking adverb?
Replacements :
[{'value': 'Thus,'}]
Context :
{'offset': 43, 'length': 4, 'text': '...d definitely belong to the first group. Thus: Similarly, the size of the intersectio...'}



Possible spelling mistake found
Replacements :
[{'value': 'Asymptotic'}]
Context :
{'offset': 43, 'length': 10, 'text': '... product. Here is a C++ implementation: Asmptotics of the solution is . The number of inte...'}



This phrase is duplicated. You should probably leave only "given numbers".
Replacements :
[{'value': 'given numbers'}]
Context :
{'offset': 43, 'length': 27, 'text': '...ich are multiple of at least one of the given numbers Given numbers and number . You want to count the numb...'}



Possible spelling mistake found
Replacements :
[{'value': 'Asymptotic'}]
Context :
{'offset': 43, 'length': 11, 'text': '...ber of multiples of it in the interval. Asymptotics is . The number of strings that satisfy...'}



Consider using "all the".
Replacements :
[{'value': 'all the'}]
Context :
{'offset': 43, 'length': 10, 'text': '... number of strings that satisfy at once all of the specified patterns. To do this, simply ...'}



Possible spelling mistake found
Replacements :
[{'value': 'super sets'}]
Context :
{'offset': 43, 'length': 9, 'text': '...lightly different manner: we sum on all supersets (subsets from the original set of strin...'}



Possible spelling mistake found
Replacements :
[{'value': 'contain'}]
Context :
{'offset': 43, 'length': 8, 'text': '...s from the original set of strings that cointain ), and either add to the current answer...'}



Possible spelling mistake found
Replacements :
[{'value': 'asymptotic'}]
Context :
{'offset': 43, 'length': 10, 'text': '... we will get the final answer: However, asymtotics of this solution is . To improve it, no...'}



Possible typo: you repeated a word
Replacements :
[{'value': 'of'}]
Context :
{'offset': 43, 'length': 5, 'text': '...e taken into account in the computation of of sets with the same sign . Now our solut...'}



Possible spelling mistake found
Replacements :
[{'value': 'asymptotic'}, {'value': 'asymptotic s'}]
Context :
{'offset': 43, 'length': 11, 'text': '...th the same sign . Now our solution has asymptotics . We will now solve the second version ...'}



Possible spelling mistake found
Replacements :
[{'value': 'asymptotic'}, {'value': 'asymptotic s'}]
Context :
{'offset': 43, 'length': 11, 'text': '...k, we also obtained a solution with the asymptotics : The number of ways of going from a ce...'}



Possible spelling mistake found
Replacements :
[{'value': 'initially'}]
Context :
{'offset': 43, 'length': 8, 'text': '... cells are impassable walls. A robot is nitially at the cell (bottom left). The robot ca...'}



Did you forget a comma after a conjunctive/linking adverb?
Replacements :
[{'value': 'Also,'}]
Context :
{'offset': 43, 'length': 4, 'text': '... and in case of equality — coordinate . Also just learn how to solve a problem witho...'}



Possible spelling mistake found
Replacements :
[{'value': 'co prime'}, {'value': 'cop rime'}]
Context :
{'offset': 43, 'length': 7, 'text': "...solution has complexity . The number of coprime quadruples You're giben numbers: . You ..."}



Possible spelling mistake found
Replacements :
[{'value': 'given'}, {'value': 'gibe'}, {'value': 'gibes'}, {'value': 'gibed'}, {'value': 'gibe n'}]
Context :
{'offset': 43, 'length': 5, 'text': "...The number of coprime quadruples You're giben numbers: . You are required to count th..."}



A determiner is probably missing here: "combined the greatest".
Replacements :
[{'value': 'combined the greatest'}]
Context :
{'offset': 43, 'length': 17, 'text': '...ys to choose four numbers so that their combined greatest common divisor is equal to one. We will...'}



This sentence does not start with an uppercase letter
Replacements :
[{'value': 'Where'}]
Context :
{'offset': 43, 'length': 5, 'text': '...f four numbers divisible by a divisor . where is the number of primes in the factoriz...'}



Possible spelling mistake found
Replacements :
[{'value': 'co primes'}, {'value': 'cop rimes'}]
Context :
{'offset': 43, 'length': 8, 'text': '...n-harmonic triplet is made of a pair of coprimes and a third number that is not coprime ...'}



Possible spelling mistake found
Replacements :
[{'value': 'co prime'}, {'value': 'cop rime'}]
Context :
{'offset': 43, 'length': 7, 'text': '...coprimes and a third number that is not coprime with at least one from the pair. Thus, ...'}



Possible spelling mistake found
Replacements :
[{'value': 'co primes'}, {'value': 'cop rimes'}]
Context :
{'offset': 43, 'length': 8, 'text': '...the number of integers from to that are coprimes with multiplied by the number of intege...'}



Possible spelling mistake found
Replacements :
[{'value': 'co prime'}, {'value': 'cop rime'}]
Context :
{'offset': 43, 'length': 7, 'text': '... by the number of integers that are not coprime with . Either or In both of these cases...'}



Possible spelling mistake found
Replacements :
[{'value': 'co primes'}, {'value': 'cop rimes'}]
Context :
{'offset': 43, 'length': 8, 'text': '...olve is to learn to count the number of coprimes to in the interval . Although this prob...'}



Possible spelling mistake found
Replacements :
[{'value': 'mentioned'}, {'value': 'mention'}, {'value': 'mentions'}, {'value': 'mention d'}]
Context :
{'offset': 43, 'length': 8, 'text': '... Although this problem has already been mentiond, the above solution is not suitable her...'}



Possible spelling mistake found
Replacements :
[{'value': 'iteration'}, {'value': 'iterations'}, {'value': 'iterating'}, {'value': 'iteration g'}]
Context :
{'offset': 43, 'length': 10, 'text': '...each of the integers from to , and then iterationg through all subsets of these primes. A ...'}



Did you mean "these"?
Replacements :
[{'value': 'these'}]
Context :
{'offset': 43, 'length': 4, 'text': '...r twice. We will also need to know, for this numbers, how many factors it includes. ...'}



Possible spelling mistake found
Replacements :
[{'value': 'co prime'}, {'value': 'cop rime'}]
Context :
{'offset': 43, 'length': 7, 'text': '... the array — the number of integers not coprime with . To do this, remember how the for...'}



Possible spelling mistake found
Replacements :
[{'value': 'Interstate'}, {'value': 'Iterative'}, {'value': 'Iterate'}]
Context :
{'offset': 43, 'length': 9, 'text': '... in the formula of inclusion-exclusion. Iteratate through all numbers that are multiples ...'}



Possible spelling mistake found
Replacements :
[{'value': 'asymptotic'}, {'value': 'asymptotic s'}]
Context :
{'offset': 43, 'length': 11, 'text': "...ract). Here's a C++ implementation: The asymptotics of our solution is , as for almost ever..."}



Possible spelling mistake found
Replacements :
[{'value': 'derangement'}, {'value': 'derangement s'}]
Context :
{'offset': 43, 'length': 12, 'text': '...r of permutations without fixed points (derangements) Prove that the number of permutations ...'}



Possible spelling mistake found
Replacements :
[{'value': 'element sis'}, {'value': 'elements is'}]
Context :
{'offset': 43, 'length': 10, 'text': '...choose a subset of size from the set of elementsis equal to , we obtain a formula for the ...'}



Possible spelling mistake found
Replacements :
[{'value': 'Thebes'}, {'value': 'the best'}]
Context :
{'offset': 43, 'length': 7, 'text': '...gonsDivOne" [difficulty: medium] Test>>>thebest "HarmonicTriples" (in russian) [difficu...'}



Possible spelling mistake found
Replacements :
[{'value': 'Russian'}]
Context :
{'offset': 43, 'length': 7, 'text': '...m] Test>>>thebest "HarmonicTriples" (in russian) [difficulty: medium] SPOJ #4191 MSKYCO...'}

Additional Info : Pull Request Merged


Counter : 24
Github URL : https://github.com/e-maxx-eng/e-maxx-eng
Translation project page : Github Only
Bug Description : Spelling Error (nitially should be initially)
Command : langTool check en-US inclusion-exclusion.md
Output :

Possible spelling mistake found
Replacements :
[{'value': 'probability'}]
Context :
{'offset': 43, 'length': 10, 'text': '...way to compute the size of a set or the probabilty of complex events. It relates the sizes...'}



Use "an" instead of 'a' if the following word starts with a vowel sound, e.g. 'an article', 'an hour'
Replacements :
[{'value': 'an'}]
Context :
{'offset': 43, 'length': 1, 'text': '...ry If are events and the probability of a event from to occur, then the probabilt...'}



Possible spelling mistake found
Replacements :
[{'value': 'probability'}]
Context :
{'offset': 43, 'length': 10, 'text': '...lity of a event from to occur, then the probabilty of their union (i.e. the probability th...'}



Possible spelling mistake found
Replacements :
[{'value': 'occurring'}]
Context :
{'offset': 43, 'length': 8, 'text': '...rt of the formula). Consider an element occuring in sets . We will show it is counted on...'}



Possible spelling mistake found
Replacements :
[{'value': 'contains'}, {'value': 'contain'}, {'value': 'congaing'}, {'value': 'contain g'}]
Context :
{'offset': 43, 'length': 8, 'text': '...hose terms that include two of the sets containg ; in terms which , the item will be cou...'}



Possible spelling mistake found
Replacements :
[{'value': 'simple'}, {'value': 'samples'}, {'value': 'simpler'}, {'value': 'simplest'}, {'value': 'simplex'}, {'value': 'similes'}, {'value': 'dimples'}, {'value': 'pimples'}, {'value': 'wimples'}, {'value': 'simple s'}]
Context :
{'offset': 43, 'length': 7, 'text': '...lications. First, we will look at three simples tasks "at paper", illustrating applicat...'}



Statistic suggests that 'as' might be the correct word here. Please check.
Replacements :
[{'value': 'as'}]
Context :
{'offset': 43, 'length': 2, 'text': '...t, we will look at three simples tasks "at paper", illustrating applications of th...'}



Possible spelling mistake found
Replacements :
[{'value': 'non negative'}]
Context :
{'offset': 43, 'length': 11, 'text': '...r a moment and just count the number of nonnegative solutions to this equation. This is eas...'}



Did you forget a comma after a conjunctive/linking adverb?
Replacements :
[{'value': 'Thus,'}]
Context :
{'offset': 43, 'length': 4, 'text': '...d definitely belong to the first group. Thus: Similarly, the size of the intersectio...'}



Possible spelling mistake found
Replacements :
[{'value': 'Asymptotic'}]
Context :
{'offset': 43, 'length': 10, 'text': '... product. Here is a C++ implementation: Asmptotics of the solution is . The number of inte...'}



This phrase is duplicated. You should probably leave only "given numbers".
Replacements :
[{'value': 'given numbers'}]
Context :
{'offset': 43, 'length': 27, 'text': '...ich are multiple of at least one of the given numbers Given numbers and number . You want to count the numb...'}



Possible spelling mistake found
Replacements :
[{'value': 'Asymptotic'}]
Context :
{'offset': 43, 'length': 11, 'text': '...ber of multiples of it in the interval. Asymptotics is . The number of strings that satisfy...'}



Consider using "all the".
Replacements :
[{'value': 'all the'}]
Context :
{'offset': 43, 'length': 10, 'text': '... number of strings that satisfy at once all of the specified patterns. To do this, simply ...'}



Possible spelling mistake found
Replacements :
[{'value': 'super sets'}]
Context :
{'offset': 43, 'length': 9, 'text': '...lightly different manner: we sum on all supersets (subsets from the original set of strin...'}



Possible spelling mistake found
Replacements :
[{'value': 'contain'}]
Context :
{'offset': 43, 'length': 8, 'text': '...s from the original set of strings that cointain ), and either add to the current answer...'}



Possible spelling mistake found
Replacements :
[{'value': 'asymptotic'}]
Context :
{'offset': 43, 'length': 10, 'text': '... we will get the final answer: However, asymtotics of this solution is . To improve it, no...'}



Possible typo: you repeated a word
Replacements :
[{'value': 'of'}]
Context :
{'offset': 43, 'length': 5, 'text': '...e taken into account in the computation of of sets with the same sign . Now our solut...'}



Possible spelling mistake found
Replacements :
[{'value': 'asymptotic'}, {'value': 'asymptotic s'}]
Context :
{'offset': 43, 'length': 11, 'text': '...th the same sign . Now our solution has asymptotics . We will now solve the second version ...'}



Possible spelling mistake found
Replacements :
[{'value': 'asymptotic'}, {'value': 'asymptotic s'}]
Context :
{'offset': 43, 'length': 11, 'text': '...k, we also obtained a solution with the asymptotics : The number of ways of going from a ce...'}



Possible spelling mistake found
Replacements :
[{'value': 'initially'}]
Context :
{'offset': 43, 'length': 8, 'text': '... cells are impassable walls. A robot is nitially at the cell (bottom left). The robot ca...'}



Did you forget a comma after a conjunctive/linking adverb?
Replacements :
[{'value': 'Also,'}]
Context :
{'offset': 43, 'length': 4, 'text': '... and in case of equality — coordinate . Also just learn how to solve a problem witho...'}



Possible spelling mistake found
Replacements :
[{'value': 'co prime'}, {'value': 'cop rime'}]
Context :
{'offset': 43, 'length': 7, 'text': "...solution has complexity . The number of coprime quadruples You're giben numbers: . You ..."}



Possible spelling mistake found
Replacements :
[{'value': 'given'}, {'value': 'gibe'}, {'value': 'gibes'}, {'value': 'gibed'}, {'value': 'gibe n'}]
Context :
{'offset': 43, 'length': 5, 'text': "...The number of coprime quadruples You're giben numbers: . You are required to count th..."}



A determiner is probably missing here: "combined the greatest".
Replacements :
[{'value': 'combined the greatest'}]
Context :
{'offset': 43, 'length': 17, 'text': '...ys to choose four numbers so that their combined greatest common divisor is equal to one. We will...'}



This sentence does not start with an uppercase letter
Replacements :
[{'value': 'Where'}]
Context :
{'offset': 43, 'length': 5, 'text': '...f four numbers divisible by a divisor . where is the number of primes in the factoriz...'}



Possible spelling mistake found
Replacements :
[{'value': 'co primes'}, {'value': 'cop rimes'}]
Context :
{'offset': 43, 'length': 8, 'text': '...n-harmonic triplet is made of a pair of coprimes and a third number that is not coprime ...'}



Possible spelling mistake found
Replacements :
[{'value': 'co prime'}, {'value': 'cop rime'}]
Context :
{'offset': 43, 'length': 7, 'text': '...coprimes and a third number that is not coprime with at least one from the pair. Thus, ...'}



Possible spelling mistake found
Replacements :
[{'value': 'co primes'}, {'value': 'cop rimes'}]
Context :
{'offset': 43, 'length': 8, 'text': '...the number of integers from to that are coprimes with multiplied by the number of intege...'}



Possible spelling mistake found
Replacements :
[{'value': 'co prime'}, {'value': 'cop rime'}]
Context :
{'offset': 43, 'length': 7, 'text': '... by the number of integers that are not coprime with . Either or In both of these cases...'}



Possible spelling mistake found
Replacements :
[{'value': 'co primes'}, {'value': 'cop rimes'}]
Context :
{'offset': 43, 'length': 8, 'text': '...olve is to learn to count the number of coprimes to in the interval . Although this prob...'}



Possible spelling mistake found
Replacements :
[{'value': 'mentioned'}, {'value': 'mention'}, {'value': 'mentions'}, {'value': 'mention d'}]
Context :
{'offset': 43, 'length': 8, 'text': '... Although this problem has already been mentiond, the above solution is not suitable her...'}



Possible spelling mistake found
Replacements :
[{'value': 'iteration'}, {'value': 'iterations'}, {'value': 'iterating'}, {'value': 'iteration g'}]
Context :
{'offset': 43, 'length': 10, 'text': '...each of the integers from to , and then iterationg through all subsets of these primes. A ...'}



Did you mean "these"?
Replacements :
[{'value': 'these'}]
Context :
{'offset': 43, 'length': 4, 'text': '...r twice. We will also need to know, for this numbers, how many factors it includes. ...'}



Possible spelling mistake found
Replacements :
[{'value': 'co prime'}, {'value': 'cop rime'}]
Context :
{'offset': 43, 'length': 7, 'text': '... the array — the number of integers not coprime with . To do this, remember how the for...'}



Possible spelling mistake found
Replacements :
[{'value': 'Interstate'}, {'value': 'Iterative'}, {'value': 'Iterate'}]
Context :
{'offset': 43, 'length': 9, 'text': '... in the formula of inclusion-exclusion. Iteratate through all numbers that are multiples ...'}



Possible spelling mistake found
Replacements :
[{'value': 'asymptotic'}, {'value': 'asymptotic s'}]
Context :
{'offset': 43, 'length': 11, 'text': "...ract). Here's a C++ implementation: The asymptotics of our solution is , as for almost ever..."}



Possible spelling mistake found
Replacements :
[{'value': 'derangement'}, {'value': 'derangement s'}]
Context :
{'offset': 43, 'length': 12, 'text': '...r of permutations without fixed points (derangements) Prove that the number of permutations ...'}



Possible spelling mistake found
Replacements :
[{'value': 'element sis'}, {'value': 'elements is'}]
Context :
{'offset': 43, 'length': 10, 'text': '...choose a subset of size from the set of elementsis equal to , we obtain a formula for the ...'}



Possible spelling mistake found
Replacements :
[{'value': 'Thebes'}, {'value': 'the best'}]
Context :
{'offset': 43, 'length': 7, 'text': '...gonsDivOne" [difficulty: medium] Test>>>thebest "HarmonicTriples" (in russian) [difficu...'}



Possible spelling mistake found
Replacements :
[{'value': 'Russian'}]
Context :
{'offset': 43, 'length': 7, 'text': '...m] Test>>>thebest "HarmonicTriples" (in russian) [difficulty: medium] SPOJ #4191 MSKYCO...'}

Additional Info : Pull Request Merged


Counter : 25
Github URL : https://github.com/e-maxx-eng/e-maxx-eng
Translation project page : Github Only
Bug Description : Spelling Error (giben should be given)
Command : langTool check en-US inclusion-exclusion.md
Output :

Possible spelling mistake found
Replacements :
[{'value': 'probability'}]
Context :
{'offset': 43, 'length': 10, 'text': '...way to compute the size of a set or the probabilty of complex events. It relates the sizes...'}



Use "an" instead of 'a' if the following word starts with a vowel sound, e.g. 'an article', 'an hour'
Replacements :
[{'value': 'an'}]
Context :
{'offset': 43, 'length': 1, 'text': '...ry If are events and the probability of a event from to occur, then the probabilt...'}



Possible spelling mistake found
Replacements :
[{'value': 'probability'}]
Context :
{'offset': 43, 'length': 10, 'text': '...lity of a event from to occur, then the probabilty of their union (i.e. the probability th...'}



Possible spelling mistake found
Replacements :
[{'value': 'occurring'}]
Context :
{'offset': 43, 'length': 8, 'text': '...rt of the formula). Consider an element occuring in sets . We will show it is counted on...'}



Possible spelling mistake found
Replacements :
[{'value': 'contains'}, {'value': 'contain'}, {'value': 'congaing'}, {'value': 'contain g'}]
Context :
{'offset': 43, 'length': 8, 'text': '...hose terms that include two of the sets containg ; in terms which , the item will be cou...'}



Possible spelling mistake found
Replacements :
[{'value': 'simple'}, {'value': 'samples'}, {'value': 'simpler'}, {'value': 'simplest'}, {'value': 'simplex'}, {'value': 'similes'}, {'value': 'dimples'}, {'value': 'pimples'}, {'value': 'wimples'}, {'value': 'simple s'}]
Context :
{'offset': 43, 'length': 7, 'text': '...lications. First, we will look at three simples tasks "at paper", illustrating applicat...'}



Statistic suggests that 'as' might be the correct word here. Please check.
Replacements :
[{'value': 'as'}]
Context :
{'offset': 43, 'length': 2, 'text': '...t, we will look at three simples tasks "at paper", illustrating applications of th...'}



Possible spelling mistake found
Replacements :
[{'value': 'non negative'}]
Context :
{'offset': 43, 'length': 11, 'text': '...r a moment and just count the number of nonnegative solutions to this equation. This is eas...'}



Did you forget a comma after a conjunctive/linking adverb?
Replacements :
[{'value': 'Thus,'}]
Context :
{'offset': 43, 'length': 4, 'text': '...d definitely belong to the first group. Thus: Similarly, the size of the intersectio...'}



Possible spelling mistake found
Replacements :
[{'value': 'Asymptotic'}]
Context :
{'offset': 43, 'length': 10, 'text': '... product. Here is a C++ implementation: Asmptotics of the solution is . The number of inte...'}



This phrase is duplicated. You should probably leave only "given numbers".
Replacements :
[{'value': 'given numbers'}]
Context :
{'offset': 43, 'length': 27, 'text': '...ich are multiple of at least one of the given numbers Given numbers and number . You want to count the numb...'}



Possible spelling mistake found
Replacements :
[{'value': 'Asymptotic'}]
Context :
{'offset': 43, 'length': 11, 'text': '...ber of multiples of it in the interval. Asymptotics is . The number of strings that satisfy...'}



Consider using "all the".
Replacements :
[{'value': 'all the'}]
Context :
{'offset': 43, 'length': 10, 'text': '... number of strings that satisfy at once all of the specified patterns. To do this, simply ...'}



Possible spelling mistake found
Replacements :
[{'value': 'super sets'}]
Context :
{'offset': 43, 'length': 9, 'text': '...lightly different manner: we sum on all supersets (subsets from the original set of strin...'}



Possible spelling mistake found
Replacements :
[{'value': 'contain'}]
Context :
{'offset': 43, 'length': 8, 'text': '...s from the original set of strings that cointain ), and either add to the current answer...'}



Possible spelling mistake found
Replacements :
[{'value': 'asymptotic'}]
Context :
{'offset': 43, 'length': 10, 'text': '... we will get the final answer: However, asymtotics of this solution is . To improve it, no...'}



Possible typo: you repeated a word
Replacements :
[{'value': 'of'}]
Context :
{'offset': 43, 'length': 5, 'text': '...e taken into account in the computation of of sets with the same sign . Now our solut...'}



Possible spelling mistake found
Replacements :
[{'value': 'asymptotic'}, {'value': 'asymptotic s'}]
Context :
{'offset': 43, 'length': 11, 'text': '...th the same sign . Now our solution has asymptotics . We will now solve the second version ...'}



Possible spelling mistake found
Replacements :
[{'value': 'asymptotic'}, {'value': 'asymptotic s'}]
Context :
{'offset': 43, 'length': 11, 'text': '...k, we also obtained a solution with the asymptotics : The number of ways of going from a ce...'}



Possible spelling mistake found
Replacements :
[{'value': 'initially'}]
Context :
{'offset': 43, 'length': 8, 'text': '... cells are impassable walls. A robot is nitially at the cell (bottom left). The robot ca...'}



Did you forget a comma after a conjunctive/linking adverb?
Replacements :
[{'value': 'Also,'}]
Context :
{'offset': 43, 'length': 4, 'text': '... and in case of equality — coordinate . Also just learn how to solve a problem witho...'}



Possible spelling mistake found
Replacements :
[{'value': 'co prime'}, {'value': 'cop rime'}]
Context :
{'offset': 43, 'length': 7, 'text': "...solution has complexity . The number of coprime quadruples You're giben numbers: . You ..."}



Possible spelling mistake found
Replacements :
[{'value': 'given'}, {'value': 'gibe'}, {'value': 'gibes'}, {'value': 'gibed'}, {'value': 'gibe n'}]
Context :
{'offset': 43, 'length': 5, 'text': "...The number of coprime quadruples You're giben numbers: . You are required to count th..."}



A determiner is probably missing here: "combined the greatest".
Replacements :
[{'value': 'combined the greatest'}]
Context :
{'offset': 43, 'length': 17, 'text': '...ys to choose four numbers so that their combined greatest common divisor is equal to one. We will...'}



This sentence does not start with an uppercase letter
Replacements :
[{'value': 'Where'}]
Context :
{'offset': 43, 'length': 5, 'text': '...f four numbers divisible by a divisor . where is the number of primes in the factoriz...'}



Possible spelling mistake found
Replacements :
[{'value': 'co primes'}, {'value': 'cop rimes'}]
Context :
{'offset': 43, 'length': 8, 'text': '...n-harmonic triplet is made of a pair of coprimes and a third number that is not coprime ...'}



Possible spelling mistake found
Replacements :
[{'value': 'co prime'}, {'value': 'cop rime'}]
Context :
{'offset': 43, 'length': 7, 'text': '...coprimes and a third number that is not coprime with at least one from the pair. Thus, ...'}



Possible spelling mistake found
Replacements :
[{'value': 'co primes'}, {'value': 'cop rimes'}]
Context :
{'offset': 43, 'length': 8, 'text': '...the number of integers from to that are coprimes with multiplied by the number of intege...'}



Possible spelling mistake found
Replacements :
[{'value': 'co prime'}, {'value': 'cop rime'}]
Context :
{'offset': 43, 'length': 7, 'text': '... by the number of integers that are not coprime with . Either or In both of these cases...'}



Possible spelling mistake found
Replacements :
[{'value': 'co primes'}, {'value': 'cop rimes'}]
Context :
{'offset': 43, 'length': 8, 'text': '...olve is to learn to count the number of coprimes to in the interval . Although this prob...'}



Possible spelling mistake found
Replacements :
[{'value': 'mentioned'}, {'value': 'mention'}, {'value': 'mentions'}, {'value': 'mention d'}]
Context :
{'offset': 43, 'length': 8, 'text': '... Although this problem has already been mentiond, the above solution is not suitable her...'}



Possible spelling mistake found
Replacements :
[{'value': 'iteration'}, {'value': 'iterations'}, {'value': 'iterating'}, {'value': 'iteration g'}]
Context :
{'offset': 43, 'length': 10, 'text': '...each of the integers from to , and then iterationg through all subsets of these primes. A ...'}



Did you mean "these"?
Replacements :
[{'value': 'these'}]
Context :
{'offset': 43, 'length': 4, 'text': '...r twice. We will also need to know, for this numbers, how many factors it includes. ...'}



Possible spelling mistake found
Replacements :
[{'value': 'co prime'}, {'value': 'cop rime'}]
Context :
{'offset': 43, 'length': 7, 'text': '... the array — the number of integers not coprime with . To do this, remember how the for...'}



Possible spelling mistake found
Replacements :
[{'value': 'Interstate'}, {'value': 'Iterative'}, {'value': 'Iterate'}]
Context :
{'offset': 43, 'length': 9, 'text': '... in the formula of inclusion-exclusion. Iteratate through all numbers that are multiples ...'}



Possible spelling mistake found
Replacements :
[{'value': 'asymptotic'}, {'value': 'asymptotic s'}]
Context :
{'offset': 43, 'length': 11, 'text': "...ract). Here's a C++ implementation: The asymptotics of our solution is , as for almost ever..."}



Possible spelling mistake found
Replacements :
[{'value': 'derangement'}, {'value': 'derangement s'}]
Context :
{'offset': 43, 'length': 12, 'text': '...r of permutations without fixed points (derangements) Prove that the number of permutations ...'}



Possible spelling mistake found
Replacements :
[{'value': 'element sis'}, {'value': 'elements is'}]
Context :
{'offset': 43, 'length': 10, 'text': '...choose a subset of size from the set of elementsis equal to , we obtain a formula for the ...'}



Possible spelling mistake found
Replacements :
[{'value': 'Thebes'}, {'value': 'the best'}]
Context :
{'offset': 43, 'length': 7, 'text': '...gonsDivOne" [difficulty: medium] Test>>>thebest "HarmonicTriples" (in russian) [difficu...'}



Possible spelling mistake found
Replacements :
[{'value': 'Russian'}]
Context :
{'offset': 43, 'length': 7, 'text': '...m] Test>>>thebest "HarmonicTriples" (in russian) [difficulty: medium] SPOJ #4191 MSKYCO...'}

Additional Info : Pull Request Merged


Counter : 26
Github URL : https://github.com/e-maxx-eng/e-maxx-eng
Translation project page : Github Only
Bug Description : Typo (iterationg should be iterating)
Command : langTool check en-US inclusion-exclusion.md
Output :

Possible spelling mistake found
Replacements :
[{'value': 'probability'}]
Context :
{'offset': 43, 'length': 10, 'text': '...way to compute the size of a set or the probabilty of complex events. It relates the sizes...'}



Use "an" instead of 'a' if the following word starts with a vowel sound, e.g. 'an article', 'an hour'
Replacements :
[{'value': 'an'}]
Context :
{'offset': 43, 'length': 1, 'text': '...ry If are events and the probability of a event from to occur, then the probabilt...'}



Possible spelling mistake found
Replacements :
[{'value': 'probability'}]
Context :
{'offset': 43, 'length': 10, 'text': '...lity of a event from to occur, then the probabilty of their union (i.e. the probability th...'}



Possible spelling mistake found
Replacements :
[{'value': 'occurring'}]
Context :
{'offset': 43, 'length': 8, 'text': '...rt of the formula). Consider an element occuring in sets . We will show it is counted on...'}



Possible spelling mistake found
Replacements :
[{'value': 'contains'}, {'value': 'contain'}, {'value': 'congaing'}, {'value': 'contain g'}]
Context :
{'offset': 43, 'length': 8, 'text': '...hose terms that include two of the sets containg ; in terms which , the item will be cou...'}



Possible spelling mistake found
Replacements :
[{'value': 'simple'}, {'value': 'samples'}, {'value': 'simpler'}, {'value': 'simplest'}, {'value': 'simplex'}, {'value': 'similes'}, {'value': 'dimples'}, {'value': 'pimples'}, {'value': 'wimples'}, {'value': 'simple s'}]
Context :
{'offset': 43, 'length': 7, 'text': '...lications. First, we will look at three simples tasks "at paper", illustrating applicat...'}



Statistic suggests that 'as' might be the correct word here. Please check.
Replacements :
[{'value': 'as'}]
Context :
{'offset': 43, 'length': 2, 'text': '...t, we will look at three simples tasks "at paper", illustrating applications of th...'}



Possible spelling mistake found
Replacements :
[{'value': 'non negative'}]
Context :
{'offset': 43, 'length': 11, 'text': '...r a moment and just count the number of nonnegative solutions to this equation. This is eas...'}



Did you forget a comma after a conjunctive/linking adverb?
Replacements :
[{'value': 'Thus,'}]
Context :
{'offset': 43, 'length': 4, 'text': '...d definitely belong to the first group. Thus: Similarly, the size of the intersectio...'}



Possible spelling mistake found
Replacements :
[{'value': 'Asymptotic'}]
Context :
{'offset': 43, 'length': 10, 'text': '... product. Here is a C++ implementation: Asmptotics of the solution is . The number of inte...'}



This phrase is duplicated. You should probably leave only "given numbers".
Replacements :
[{'value': 'given numbers'}]
Context :
{'offset': 43, 'length': 27, 'text': '...ich are multiple of at least one of the given numbers Given numbers and number . You want to count the numb...'}



Possible spelling mistake found
Replacements :
[{'value': 'Asymptotic'}]
Context :
{'offset': 43, 'length': 11, 'text': '...ber of multiples of it in the interval. Asymptotics is . The number of strings that satisfy...'}



Consider using "all the".
Replacements :
[{'value': 'all the'}]
Context :
{'offset': 43, 'length': 10, 'text': '... number of strings that satisfy at once all of the specified patterns. To do this, simply ...'}



Possible spelling mistake found
Replacements :
[{'value': 'super sets'}]
Context :
{'offset': 43, 'length': 9, 'text': '...lightly different manner: we sum on all supersets (subsets from the original set of strin...'}



Possible spelling mistake found
Replacements :
[{'value': 'contain'}]
Context :
{'offset': 43, 'length': 8, 'text': '...s from the original set of strings that cointain ), and either add to the current answer...'}



Possible spelling mistake found
Replacements :
[{'value': 'asymptotic'}]
Context :
{'offset': 43, 'length': 10, 'text': '... we will get the final answer: However, asymtotics of this solution is . To improve it, no...'}



Possible typo: you repeated a word
Replacements :
[{'value': 'of'}]
Context :
{'offset': 43, 'length': 5, 'text': '...e taken into account in the computation of of sets with the same sign . Now our solut...'}



Possible spelling mistake found
Replacements :
[{'value': 'asymptotic'}, {'value': 'asymptotic s'}]
Context :
{'offset': 43, 'length': 11, 'text': '...th the same sign . Now our solution has asymptotics . We will now solve the second version ...'}



Possible spelling mistake found
Replacements :
[{'value': 'asymptotic'}, {'value': 'asymptotic s'}]
Context :
{'offset': 43, 'length': 11, 'text': '...k, we also obtained a solution with the asymptotics : The number of ways of going from a ce...'}



Possible spelling mistake found
Replacements :
[{'value': 'initially'}]
Context :
{'offset': 43, 'length': 8, 'text': '... cells are impassable walls. A robot is nitially at the cell (bottom left). The robot ca...'}



Did you forget a comma after a conjunctive/linking adverb?
Replacements :
[{'value': 'Also,'}]
Context :
{'offset': 43, 'length': 4, 'text': '... and in case of equality — coordinate . Also just learn how to solve a problem witho...'}



Possible spelling mistake found
Replacements :
[{'value': 'co prime'}, {'value': 'cop rime'}]
Context :
{'offset': 43, 'length': 7, 'text': "...solution has complexity . The number of coprime quadruples You're giben numbers: . You ..."}



Possible spelling mistake found
Replacements :
[{'value': 'given'}, {'value': 'gibe'}, {'value': 'gibes'}, {'value': 'gibed'}, {'value': 'gibe n'}]
Context :
{'offset': 43, 'length': 5, 'text': "...The number of coprime quadruples You're giben numbers: . You are required to count th..."}



A determiner is probably missing here: "combined the greatest".
Replacements :
[{'value': 'combined the greatest'}]
Context :
{'offset': 43, 'length': 17, 'text': '...ys to choose four numbers so that their combined greatest common divisor is equal to one. We will...'}



This sentence does not start with an uppercase letter
Replacements :
[{'value': 'Where'}]
Context :
{'offset': 43, 'length': 5, 'text': '...f four numbers divisible by a divisor . where is the number of primes in the factoriz...'}



Possible spelling mistake found
Replacements :
[{'value': 'co primes'}, {'value': 'cop rimes'}]
Context :
{'offset': 43, 'length': 8, 'text': '...n-harmonic triplet is made of a pair of coprimes and a third number that is not coprime ...'}



Possible spelling mistake found
Replacements :
[{'value': 'co prime'}, {'value': 'cop rime'}]
Context :
{'offset': 43, 'length': 7, 'text': '...coprimes and a third number that is not coprime with at least one from the pair. Thus, ...'}



Possible spelling mistake found
Replacements :
[{'value': 'co primes'}, {'value': 'cop rimes'}]
Context :
{'offset': 43, 'length': 8, 'text': '...the number of integers from to that are coprimes with multiplied by the number of intege...'}



Possible spelling mistake found
Replacements :
[{'value': 'co prime'}, {'value': 'cop rime'}]
Context :
{'offset': 43, 'length': 7, 'text': '... by the number of integers that are not coprime with . Either or In both of these cases...'}



Possible spelling mistake found
Replacements :
[{'value': 'co primes'}, {'value': 'cop rimes'}]
Context :
{'offset': 43, 'length': 8, 'text': '...olve is to learn to count the number of coprimes to in the interval . Although this prob...'}



Possible spelling mistake found
Replacements :
[{'value': 'mentioned'}, {'value': 'mention'}, {'value': 'mentions'}, {'value': 'mention d'}]
Context :
{'offset': 43, 'length': 8, 'text': '... Although this problem has already been mentiond, the above solution is not suitable her...'}



Possible spelling mistake found
Replacements :
[{'value': 'iteration'}, {'value': 'iterations'}, {'value': 'iterating'}, {'value': 'iteration g'}]
Context :
{'offset': 43, 'length': 10, 'text': '...each of the integers from to , and then iterationg through all subsets of these primes. A ...'}



Did you mean "these"?
Replacements :
[{'value': 'these'}]
Context :
{'offset': 43, 'length': 4, 'text': '...r twice. We will also need to know, for this numbers, how many factors it includes. ...'}



Possible spelling mistake found
Replacements :
[{'value': 'co prime'}, {'value': 'cop rime'}]
Context :
{'offset': 43, 'length': 7, 'text': '... the array — the number of integers not coprime with . To do this, remember how the for...'}



Possible spelling mistake found
Replacements :
[{'value': 'Interstate'}, {'value': 'Iterative'}, {'value': 'Iterate'}]
Context :
{'offset': 43, 'length': 9, 'text': '... in the formula of inclusion-exclusion. Iteratate through all numbers that are multiples ...'}



Possible spelling mistake found
Replacements :
[{'value': 'asymptotic'}, {'value': 'asymptotic s'}]
Context :
{'offset': 43, 'length': 11, 'text': "...ract). Here's a C++ implementation: The asymptotics of our solution is , as for almost ever..."}



Possible spelling mistake found
Replacements :
[{'value': 'derangement'}, {'value': 'derangement s'}]
Context :
{'offset': 43, 'length': 12, 'text': '...r of permutations without fixed points (derangements) Prove that the number of permutations ...'}



Possible spelling mistake found
Replacements :
[{'value': 'element sis'}, {'value': 'elements is'}]
Context :
{'offset': 43, 'length': 10, 'text': '...choose a subset of size from the set of elementsis equal to , we obtain a formula for the ...'}



Possible spelling mistake found
Replacements :
[{'value': 'Thebes'}, {'value': 'the best'}]
Context :
{'offset': 43, 'length': 7, 'text': '...gonsDivOne" [difficulty: medium] Test>>>thebest "HarmonicTriples" (in russian) [difficu...'}



Possible spelling mistake found
Replacements :
[{'value': 'Russian'}]
Context :
{'offset': 43, 'length': 7, 'text': '...m] Test>>>thebest "HarmonicTriples" (in russian) [difficulty: medium] SPOJ #4191 MSKYCO...'}

Additional Info : Pull Request Merged


Counter : 27
Github URL : https://github.com/e-maxx-eng/e-maxx-eng
Translation project page : Github Only
Bug Description : Grammar Error (this numbers should be these numbers)
Command : langTool check en-US inclusion-exclusion.md
Output :

Possible spelling mistake found
Replacements :
[{'value': 'probability'}]
Context :
{'offset': 43, 'length': 10, 'text': '...way to compute the size of a set or the probabilty of complex events. It relates the sizes...'}



Use "an" instead of 'a' if the following word starts with a vowel sound, e.g. 'an article', 'an hour'
Replacements :
[{'value': 'an'}]
Context :
{'offset': 43, 'length': 1, 'text': '...ry If are events and the probability of a event from to occur, then the probabilt...'}



Possible spelling mistake found
Replacements :
[{'value': 'probability'}]
Context :
{'offset': 43, 'length': 10, 'text': '...lity of a event from to occur, then the probabilty of their union (i.e. the probability th...'}



Possible spelling mistake found
Replacements :
[{'value': 'occurring'}]
Context :
{'offset': 43, 'length': 8, 'text': '...rt of the formula). Consider an element occuring in sets . We will show it is counted on...'}



Possible spelling mistake found
Replacements :
[{'value': 'contains'}, {'value': 'contain'}, {'value': 'congaing'}, {'value': 'contain g'}]
Context :
{'offset': 43, 'length': 8, 'text': '...hose terms that include two of the sets containg ; in terms which , the item will be cou...'}



Possible spelling mistake found
Replacements :
[{'value': 'simple'}, {'value': 'samples'}, {'value': 'simpler'}, {'value': 'simplest'}, {'value': 'simplex'}, {'value': 'similes'}, {'value': 'dimples'}, {'value': 'pimples'}, {'value': 'wimples'}, {'value': 'simple s'}]
Context :
{'offset': 43, 'length': 7, 'text': '...lications. First, we will look at three simples tasks "at paper", illustrating applicat...'}



Statistic suggests that 'as' might be the correct word here. Please check.
Replacements :
[{'value': 'as'}]
Context :
{'offset': 43, 'length': 2, 'text': '...t, we will look at three simples tasks "at paper", illustrating applications of th...'}



Possible spelling mistake found
Replacements :
[{'value': 'non negative'}]
Context :
{'offset': 43, 'length': 11, 'text': '...r a moment and just count the number of nonnegative solutions to this equation. This is eas...'}



Did you forget a comma after a conjunctive/linking adverb?
Replacements :
[{'value': 'Thus,'}]
Context :
{'offset': 43, 'length': 4, 'text': '...d definitely belong to the first group. Thus: Similarly, the size of the intersectio...'}



Possible spelling mistake found
Replacements :
[{'value': 'Asymptotic'}]
Context :
{'offset': 43, 'length': 10, 'text': '... product. Here is a C++ implementation: Asmptotics of the solution is . The number of inte...'}



This phrase is duplicated. You should probably leave only "given numbers".
Replacements :
[{'value': 'given numbers'}]
Context :
{'offset': 43, 'length': 27, 'text': '...ich are multiple of at least one of the given numbers Given numbers and number . You want to count the numb...'}



Possible spelling mistake found
Replacements :
[{'value': 'Asymptotic'}]
Context :
{'offset': 43, 'length': 11, 'text': '...ber of multiples of it in the interval. Asymptotics is . The number of strings that satisfy...'}



Consider using "all the".
Replacements :
[{'value': 'all the'}]
Context :
{'offset': 43, 'length': 10, 'text': '... number of strings that satisfy at once all of the specified patterns. To do this, simply ...'}



Possible spelling mistake found
Replacements :
[{'value': 'super sets'}]
Context :
{'offset': 43, 'length': 9, 'text': '...lightly different manner: we sum on all supersets (subsets from the original set of strin...'}



Possible spelling mistake found
Replacements :
[{'value': 'contain'}]
Context :
{'offset': 43, 'length': 8, 'text': '...s from the original set of strings that cointain ), and either add to the current answer...'}



Possible spelling mistake found
Replacements :
[{'value': 'asymptotic'}]
Context :
{'offset': 43, 'length': 10, 'text': '... we will get the final answer: However, asymtotics of this solution is . To improve it, no...'}



Possible typo: you repeated a word
Replacements :
[{'value': 'of'}]
Context :
{'offset': 43, 'length': 5, 'text': '...e taken into account in the computation of of sets with the same sign . Now our solut...'}



Possible spelling mistake found
Replacements :
[{'value': 'asymptotic'}, {'value': 'asymptotic s'}]
Context :
{'offset': 43, 'length': 11, 'text': '...th the same sign . Now our solution has asymptotics . We will now solve the second version ...'}



Possible spelling mistake found
Replacements :
[{'value': 'asymptotic'}, {'value': 'asymptotic s'}]
Context :
{'offset': 43, 'length': 11, 'text': '...k, we also obtained a solution with the asymptotics : The number of ways of going from a ce...'}



Possible spelling mistake found
Replacements :
[{'value': 'initially'}]
Context :
{'offset': 43, 'length': 8, 'text': '... cells are impassable walls. A robot is nitially at the cell (bottom left). The robot ca...'}



Did you forget a comma after a conjunctive/linking adverb?
Replacements :
[{'value': 'Also,'}]
Context :
{'offset': 43, 'length': 4, 'text': '... and in case of equality — coordinate . Also just learn how to solve a problem witho...'}



Possible spelling mistake found
Replacements :
[{'value': 'co prime'}, {'value': 'cop rime'}]
Context :
{'offset': 43, 'length': 7, 'text': "...solution has complexity . The number of coprime quadruples You're giben numbers: . You ..."}



Possible spelling mistake found
Replacements :
[{'value': 'given'}, {'value': 'gibe'}, {'value': 'gibes'}, {'value': 'gibed'}, {'value': 'gibe n'}]
Context :
{'offset': 43, 'length': 5, 'text': "...The number of coprime quadruples You're giben numbers: . You are required to count th..."}



A determiner is probably missing here: "combined the greatest".
Replacements :
[{'value': 'combined the greatest'}]
Context :
{'offset': 43, 'length': 17, 'text': '...ys to choose four numbers so that their combined greatest common divisor is equal to one. We will...'}



This sentence does not start with an uppercase letter
Replacements :
[{'value': 'Where'}]
Context :
{'offset': 43, 'length': 5, 'text': '...f four numbers divisible by a divisor . where is the number of primes in the factoriz...'}



Possible spelling mistake found
Replacements :
[{'value': 'co primes'}, {'value': 'cop rimes'}]
Context :
{'offset': 43, 'length': 8, 'text': '...n-harmonic triplet is made of a pair of coprimes and a third number that is not coprime ...'}



Possible spelling mistake found
Replacements :
[{'value': 'co prime'}, {'value': 'cop rime'}]
Context :
{'offset': 43, 'length': 7, 'text': '...coprimes and a third number that is not coprime with at least one from the pair. Thus, ...'}



Possible spelling mistake found
Replacements :
[{'value': 'co primes'}, {'value': 'cop rimes'}]
Context :
{'offset': 43, 'length': 8, 'text': '...the number of integers from to that are coprimes with multiplied by the number of intege...'}



Possible spelling mistake found
Replacements :
[{'value': 'co prime'}, {'value': 'cop rime'}]
Context :
{'offset': 43, 'length': 7, 'text': '... by the number of integers that are not coprime with . Either or In both of these cases...'}



Possible spelling mistake found
Replacements :
[{'value': 'co primes'}, {'value': 'cop rimes'}]
Context :
{'offset': 43, 'length': 8, 'text': '...olve is to learn to count the number of coprimes to in the interval . Although this prob...'}



Possible spelling mistake found
Replacements :
[{'value': 'mentioned'}, {'value': 'mention'}, {'value': 'mentions'}, {'value': 'mention d'}]
Context :
{'offset': 43, 'length': 8, 'text': '... Although this problem has already been mentiond, the above solution is not suitable her...'}



Possible spelling mistake found
Replacements :
[{'value': 'iteration'}, {'value': 'iterations'}, {'value': 'iterating'}, {'value': 'iteration g'}]
Context :
{'offset': 43, 'length': 10, 'text': '...each of the integers from to , and then iterationg through all subsets of these primes. A ...'}



Did you mean "these"?
Replacements :
[{'value': 'these'}]
Context :
{'offset': 43, 'length': 4, 'text': '...r twice. We will also need to know, for this numbers, how many factors it includes. ...'}



Possible spelling mistake found
Replacements :
[{'value': 'co prime'}, {'value': 'cop rime'}]
Context :
{'offset': 43, 'length': 7, 'text': '... the array — the number of integers not coprime with . To do this, remember how the for...'}



Possible spelling mistake found
Replacements :
[{'value': 'Interstate'}, {'value': 'Iterative'}, {'value': 'Iterate'}]
Context :
{'offset': 43, 'length': 9, 'text': '... in the formula of inclusion-exclusion. Iteratate through all numbers that are multiples ...'}



Possible spelling mistake found
Replacements :
[{'value': 'asymptotic'}, {'value': 'asymptotic s'}]
Context :
{'offset': 43, 'length': 11, 'text': "...ract). Here's a C++ implementation: The asymptotics of our solution is , as for almost ever..."}



Possible spelling mistake found
Replacements :
[{'value': 'derangement'}, {'value': 'derangement s'}]
Context :
{'offset': 43, 'length': 12, 'text': '...r of permutations without fixed points (derangements) Prove that the number of permutations ...'}



Possible spelling mistake found
Replacements :
[{'value': 'element sis'}, {'value': 'elements is'}]
Context :
{'offset': 43, 'length': 10, 'text': '...choose a subset of size from the set of elementsis equal to , we obtain a formula for the ...'}



Possible spelling mistake found
Replacements :
[{'value': 'Thebes'}, {'value': 'the best'}]
Context :
{'offset': 43, 'length': 7, 'text': '...gonsDivOne" [difficulty: medium] Test>>>thebest "HarmonicTriples" (in russian) [difficu...'}



Possible spelling mistake found
Replacements :
[{'value': 'Russian'}]
Context :
{'offset': 43, 'length': 7, 'text': '...m] Test>>>thebest "HarmonicTriples" (in russian) [difficulty: medium] SPOJ #4191 MSKYCO...'}

Additional Info : Pull Request Merged


Counter : 28
Github URL : https://github.com/e-maxx-eng/e-maxx-eng
Translation project page : Github Only
Bug Description : Spelling Error (Iteratate should be Iterate)
Command : langTool check en-US inclusion-exclusion.md
Output :

Possible spelling mistake found
Replacements :
[{'value': 'probability'}]
Context :
{'offset': 43, 'length': 10, 'text': '...way to compute the size of a set or the probabilty of complex events. It relates the sizes...'}



Use "an" instead of 'a' if the following word starts with a vowel sound, e.g. 'an article', 'an hour'
Replacements :
[{'value': 'an'}]
Context :
{'offset': 43, 'length': 1, 'text': '...ry If are events and the probability of a event from to occur, then the probabilt...'}



Possible spelling mistake found
Replacements :
[{'value': 'probability'}]
Context :
{'offset': 43, 'length': 10, 'text': '...lity of a event from to occur, then the probabilty of their union (i.e. the probability th...'}



Possible spelling mistake found
Replacements :
[{'value': 'occurring'}]
Context :
{'offset': 43, 'length': 8, 'text': '...rt of the formula). Consider an element occuring in sets . We will show it is counted on...'}



Possible spelling mistake found
Replacements :
[{'value': 'contains'}, {'value': 'contain'}, {'value': 'congaing'}, {'value': 'contain g'}]
Context :
{'offset': 43, 'length': 8, 'text': '...hose terms that include two of the sets containg ; in terms which , the item will be cou...'}



Possible spelling mistake found
Replacements :
[{'value': 'simple'}, {'value': 'samples'}, {'value': 'simpler'}, {'value': 'simplest'}, {'value': 'simplex'}, {'value': 'similes'}, {'value': 'dimples'}, {'value': 'pimples'}, {'value': 'wimples'}, {'value': 'simple s'}]
Context :
{'offset': 43, 'length': 7, 'text': '...lications. First, we will look at three simples tasks "at paper", illustrating applicat...'}



Statistic suggests that 'as' might be the correct word here. Please check.
Replacements :
[{'value': 'as'}]
Context :
{'offset': 43, 'length': 2, 'text': '...t, we will look at three simples tasks "at paper", illustrating applications of th...'}



Possible spelling mistake found
Replacements :
[{'value': 'non negative'}]
Context :
{'offset': 43, 'length': 11, 'text': '...r a moment and just count the number of nonnegative solutions to this equation. This is eas...'}



Did you forget a comma after a conjunctive/linking adverb?
Replacements :
[{'value': 'Thus,'}]
Context :
{'offset': 43, 'length': 4, 'text': '...d definitely belong to the first group. Thus: Similarly, the size of the intersectio...'}



Possible spelling mistake found
Replacements :
[{'value': 'Asymptotic'}]
Context :
{'offset': 43, 'length': 10, 'text': '... product. Here is a C++ implementation: Asmptotics of the solution is . The number of inte...'}



This phrase is duplicated. You should probably leave only "given numbers".
Replacements :
[{'value': 'given numbers'}]
Context :
{'offset': 43, 'length': 27, 'text': '...ich are multiple of at least one of the given numbers Given numbers and number . You want to count the numb...'}



Possible spelling mistake found
Replacements :
[{'value': 'Asymptotic'}]
Context :
{'offset': 43, 'length': 11, 'text': '...ber of multiples of it in the interval. Asymptotics is . The number of strings that satisfy...'}



Consider using "all the".
Replacements :
[{'value': 'all the'}]
Context :
{'offset': 43, 'length': 10, 'text': '... number of strings that satisfy at once all of the specified patterns. To do this, simply ...'}



Possible spelling mistake found
Replacements :
[{'value': 'super sets'}]
Context :
{'offset': 43, 'length': 9, 'text': '...lightly different manner: we sum on all supersets (subsets from the original set of strin...'}



Possible spelling mistake found
Replacements :
[{'value': 'contain'}]
Context :
{'offset': 43, 'length': 8, 'text': '...s from the original set of strings that cointain ), and either add to the current answer...'}



Possible spelling mistake found
Replacements :
[{'value': 'asymptotic'}]
Context :
{'offset': 43, 'length': 10, 'text': '... we will get the final answer: However, asymtotics of this solution is . To improve it, no...'}



Possible typo: you repeated a word
Replacements :
[{'value': 'of'}]
Context :
{'offset': 43, 'length': 5, 'text': '...e taken into account in the computation of of sets with the same sign . Now our solut...'}



Possible spelling mistake found
Replacements :
[{'value': 'asymptotic'}, {'value': 'asymptotic s'}]
Context :
{'offset': 43, 'length': 11, 'text': '...th the same sign . Now our solution has asymptotics . We will now solve the second version ...'}



Possible spelling mistake found
Replacements :
[{'value': 'asymptotic'}, {'value': 'asymptotic s'}]
Context :
{'offset': 43, 'length': 11, 'text': '...k, we also obtained a solution with the asymptotics : The number of ways of going from a ce...'}



Possible spelling mistake found
Replacements :
[{'value': 'initially'}]
Context :
{'offset': 43, 'length': 8, 'text': '... cells are impassable walls. A robot is nitially at the cell (bottom left). The robot ca...'}



Did you forget a comma after a conjunctive/linking adverb?
Replacements :
[{'value': 'Also,'}]
Context :
{'offset': 43, 'length': 4, 'text': '... and in case of equality — coordinate . Also just learn how to solve a problem witho...'}



Possible spelling mistake found
Replacements :
[{'value': 'co prime'}, {'value': 'cop rime'}]
Context :
{'offset': 43, 'length': 7, 'text': "...solution has complexity . The number of coprime quadruples You're giben numbers: . You ..."}



Possible spelling mistake found
Replacements :
[{'value': 'given'}, {'value': 'gibe'}, {'value': 'gibes'}, {'value': 'gibed'}, {'value': 'gibe n'}]
Context :
{'offset': 43, 'length': 5, 'text': "...The number of coprime quadruples You're giben numbers: . You are required to count th..."}



A determiner is probably missing here: "combined the greatest".
Replacements :
[{'value': 'combined the greatest'}]
Context :
{'offset': 43, 'length': 17, 'text': '...ys to choose four numbers so that their combined greatest common divisor is equal to one. We will...'}



This sentence does not start with an uppercase letter
Replacements :
[{'value': 'Where'}]
Context :
{'offset': 43, 'length': 5, 'text': '...f four numbers divisible by a divisor . where is the number of primes in the factoriz...'}



Possible spelling mistake found
Replacements :
[{'value': 'co primes'}, {'value': 'cop rimes'}]
Context :
{'offset': 43, 'length': 8, 'text': '...n-harmonic triplet is made of a pair of coprimes and a third number that is not coprime ...'}



Possible spelling mistake found
Replacements :
[{'value': 'co prime'}, {'value': 'cop rime'}]
Context :
{'offset': 43, 'length': 7, 'text': '...coprimes and a third number that is not coprime with at least one from the pair. Thus, ...'}



Possible spelling mistake found
Replacements :
[{'value': 'co primes'}, {'value': 'cop rimes'}]
Context :
{'offset': 43, 'length': 8, 'text': '...the number of integers from to that are coprimes with multiplied by the number of intege...'}



Possible spelling mistake found
Replacements :
[{'value': 'co prime'}, {'value': 'cop rime'}]
Context :
{'offset': 43, 'length': 7, 'text': '... by the number of integers that are not coprime with . Either or In both of these cases...'}



Possible spelling mistake found
Replacements :
[{'value': 'co primes'}, {'value': 'cop rimes'}]
Context :
{'offset': 43, 'length': 8, 'text': '...olve is to learn to count the number of coprimes to in the interval . Although this prob...'}



Possible spelling mistake found
Replacements :
[{'value': 'mentioned'}, {'value': 'mention'}, {'value': 'mentions'}, {'value': 'mention d'}]
Context :
{'offset': 43, 'length': 8, 'text': '... Although this problem has already been mentiond, the above solution is not suitable her...'}



Possible spelling mistake found
Replacements :
[{'value': 'iteration'}, {'value': 'iterations'}, {'value': 'iterating'}, {'value': 'iteration g'}]
Context :
{'offset': 43, 'length': 10, 'text': '...each of the integers from to , and then iterationg through all subsets of these primes. A ...'}



Did you mean "these"?
Replacements :
[{'value': 'these'}]
Context :
{'offset': 43, 'length': 4, 'text': '...r twice. We will also need to know, for this numbers, how many factors it includes. ...'}



Possible spelling mistake found
Replacements :
[{'value': 'co prime'}, {'value': 'cop rime'}]
Context :
{'offset': 43, 'length': 7, 'text': '... the array — the number of integers not coprime with . To do this, remember how the for...'}



Possible spelling mistake found
Replacements :
[{'value': 'Interstate'}, {'value': 'Iterative'}, {'value': 'Iterate'}]
Context :
{'offset': 43, 'length': 9, 'text': '... in the formula of inclusion-exclusion. Iteratate through all numbers that are multiples ...'}



Possible spelling mistake found
Replacements :
[{'value': 'asymptotic'}, {'value': 'asymptotic s'}]
Context :
{'offset': 43, 'length': 11, 'text': "...ract). Here's a C++ implementation: The asymptotics of our solution is , as for almost ever..."}



Possible spelling mistake found
Replacements :
[{'value': 'derangement'}, {'value': 'derangement s'}]
Context :
{'offset': 43, 'length': 12, 'text': '...r of permutations without fixed points (derangements) Prove that the number of permutations ...'}



Possible spelling mistake found
Replacements :
[{'value': 'element sis'}, {'value': 'elements is'}]
Context :
{'offset': 43, 'length': 10, 'text': '...choose a subset of size from the set of elementsis equal to , we obtain a formula for the ...'}



Possible spelling mistake found
Replacements :
[{'value': 'Thebes'}, {'value': 'the best'}]
Context :
{'offset': 43, 'length': 7, 'text': '...gonsDivOne" [difficulty: medium] Test>>>thebest "HarmonicTriples" (in russian) [difficu...'}



Possible spelling mistake found
Replacements :
[{'value': 'Russian'}]
Context :
{'offset': 43, 'length': 7, 'text': '...m] Test>>>thebest "HarmonicTriples" (in russian) [difficulty: medium] SPOJ #4191 MSKYCO...'}

Additional Info : Pull Request Merged


Counter : 29
Github URL : https://github.com/e-maxx-eng/e-maxx-eng
Translation project page : Github Only
Bug Description : Spelling Error (woking should be working)
Command : langTool check en-US sieve-of-eratosthenes.md
Output :

...
Possible spelling mistake found
Replacements :
[{'value': 'working'}, {'value': 'waking'}, {'value': 'joking'}, {'value': 'poking'}, {'value': 'wooing'}, {'value': 'coking'}, {'value': 'wowing'}, {'value': 'yoking'}, {'value': 'toking'}, {'value': 'OKing'}, {'value': 'hoking'}]
Context :
{'length': 6, 'offset': 43, 'text': '...rs, except , are composite, we can stop woking on even numbers at all. Instead, we nee...'}
...

Additional Info : Pull Request Sent


Counter : 30
Github URL : https://github.com/e-maxx-eng/e-maxx-eng
Translation project page : Github Only
Bug Description : Spelling Error (any more should be anymore)
Command : langTool check en-US sieve-of-eratosthenes.md
Output :

...
Did you mean "anymore"?
Replacements :
[{'value': 'anymore'}]
Context :
{'length': 8, 'offset': 43, 'text': '... we cannot allocate bytes of the memory any more. In this case we will trade saving memo...'}
...

Additional Info : Pull Request Sent


Counter : 31
Github URL : https://github.com/e-maxx-eng/e-maxx-eng
Translation project page : Github Only
Bug Description : Spelling Error (exponention should be exponentiation)
Command : langTool check en-US module-inverse.md
Output :

...
Possible spelling mistake found
Replacements :
[{'value': 'exponent ion'}]
Context :
{'offset': 43, 'text': '...inding the Modular Inverse using Binary exponention Another method for finding modular inve...', 'length': 11}
...

Additional Info : Pull Request Sent


Counter : 32
Github URL : https://github.com/e-maxx-eng/e-maxx-eng
Translation project page : Github Only
Bug Description : Spelling Error (infinte should be infinite)
Command : langTool check en-US linear-diophantine-equation.md
Output :

...
Possible spelling mistake found
Replacements :
[{'value': 'infinite'}]
Context :
{'text': '...ctions on the solutions, there would be infinte number of them. So in this section, we ...', 'length': 7, 'offset': 43}
...

Additional Info : Pull Request Sent


Counter : 33
Github URL : https://github.com/e-maxx-eng/e-maxx-eng
Translation project page : Github Only
Bug Description : Spelling Error (algorithms should be algorithm)
Command : langTool check en-US linear-diophantine-equation.md
Output :

...
Possible spelling mistake found
Replacements :
[{'value': 'infinite'}]
Context :
{'text': '...ctions on the solutions, there would be infinte number of them. So in this section, we ...', 'length': 7, 'offset': 43}
...

Additional Info : Pull Request Sent


Counter : 34
Github URL : https://github.com/e-maxx-eng/e-maxx-eng
Translation project page : Github Only
Bug Description : Spelling Error (refered should be referred)
Command : langTool check en-US chinese-remainder-theorem.md
Output :

...
Possible spelling mistake. Did you mean "referred", the past tense form of the verb 'refer'?
Replacements :
[{'value': 'referred'}, {'value': 'regard'}, {'value': 'referee'}, {'value': 'reward'}, {'value': 'revered'}, {'value': 'refereed'}, {'value': 'retard'}, {'value': 'reheard'}, {'value': 'refer ed'}]
Context :
{'offset': 43, 'text': '... The Chinese Remainder Theorem (will be refered to as CRT in the rest of this article),...', 'length': 7}
...

Additional Info : Pull Request Sent


Counter : 35
Github URL : https://github.com/e-maxx-eng/e-maxx-eng
Translation project page : Github Only
Bug Description : Grammar Error (from smallest should be from the smallest)
Command : langTool check en-US binary-exp.md
Output :

...
A determiner is probably missing here: "from the smallest".
Replacements :
[{'value': 'from the smallest'}]
Context :
{'length': 13, 'text': '...his approach builds the result starting from smallest degrees of a. If we use recursion inste...', 'offset': 43}
...

Additional Info : Pull Request Sent


Counter : 36
Github URL : https://github.com/e-maxx-eng/e-maxx-eng
Translation project page : Github Only
Bug Description : Spelling Error (from largest should be from the largest)
Command : langTool check en-US binary-exp.md
Output :

...
A determiner is probably missing here: "from the largest".
Replacements :
[{'value': 'from the largest'}]
Context :
{'length': 12, 'text': '...n work in "inverse" direction, starting from largest degrees and dividing b in two at each s...', 'offset': 43}
...

Additional Info : Pull Request Sent


Counter : 37, 38, 39
Github URL : https://github.com/MuzTank/fbctf
Translation project page : Github Only
Bug Description : Kata Tidak Baku (silahkan should be silakan, aktifitas should be aktivitas, and karir should be karier)
Command : bakuCheck lang_id.php
Output :

Checker       : Kata Baku Checker
Line          : 48
Original text :   'Attacking Scoreboard' =>
Message       : The correct word for 'rebo' is 'rabu'

Checker       : Kata Baku Checker
Line          : 71
Original text : ... peraturan lainnya, silahkan bertanya pada penye...
Message       : The correct word for 'silahkan' is 'silakan'

Checker       : Kata Baku Checker
Line          : 103
Original text :     'Silahkan login disini. Jika ...
Message       : The correct word for 'silahkan' is 'silakan'

Checker       : Kata Baku Checker
Line          : 137
Original text :   'Scoreboard' =>
Message       : The correct word for 'rebo' is 'rabu'

Checker       : Kata Baku Checker
Line          : 154
Original text :     'Aktifitas',
Message       : The correct word for 'aktifitas' is 'aktivitas'

Checker       : Kata Baku Checker
Line          : 517
Original text :   'Extracting' =>
Message       : The correct word for 'extra' is 'ekstra'

Checker       : Kata Baku Checker
Line          : 543
Original text : ... and progressive scoreboard will start' =>
Message       : The correct word for 'rebo' is 'rabu'

Checker       : Kata Baku Checker
Line          : 554
Original text :     'Semua perubahan telah berhasil di...
Message       : The correct word for 'rubah' is 'ubah'

Checker       : Kata Baku Checker
Line          : 562
Original text : ...embatalkan? Semua perubahan yang terjadi tida...
Message       : The correct word for 'rubah' is 'ubah'

Checker       : Kata Baku Checker
Line          : 589
Original text :   'scoreboard_' =>
Message       : The correct word for 'rebo' is 'rabu'

Checker       : Kata Baku Checker
Line          : 622
Original text : .... Jangan sampai kehabisan waktu.',
Message       : The correct word for 'bis' is 'bus'

Checker       : Kata Baku Checker
Line          : 644
Original text : ... Pendaftaran, Blog, Karir, dan lainnya.',
Message       : The correct word for 'karir' is 'karier'

Additional Info : Pull Request Sent
This translation is not yet merged in the main repository, so I proposed the pull request to the Indonesian translation maker.


Counter : 40 - ~~
Github URL : https://github.com/asofyan/byte_of_python
Translation project page : Github Only
Bug Description : Kata Baku (seksama should be saksama, fikir should be pikir, obyek should be objek, detill should be detail, praktek should be praktik, ijin should be izin, cuma should be hanya, sekedar should be sekadar, analisis should be analisa, komplit should be komplet, familiar should be familier, detil should be detail)
Command : bakuCheck *.pd
Output :

Additional Info : Pull Request Sent
There are so many bugs I can't even count it. (For example, there are 135 obyek bugs there)

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