texStandardCommands.tex

% Packages
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{mathrsfs}
\usepackage{cancel}	

\usepackage{mathtools}

% units!
\usepackage{siunitx}

% custom formulas
\usepackage[thinc]{esdiff}
% more featureful derivative package
\usepackage{derivative}
\usepackage{esint}

%youre an ece harry
\usepackage{steinmetz}

%fix me some spacing problems
\usepackage{mleftright} % could use this everywhere, but idk that i want to

% fancy matricies
%\usepackage{nicematrix} % turns out to be pretty hefty!
\usepackage{arydshln} %must be loaded late in process

\newcommand{\iphasor}{{\underline I}}
\newcommand{\vphasor}{{\underline V}}


% units plz
\newcommand{\mSec}{\unit{\m\per\s}}
\newcommand{\mSecSq}{\unit{\m\per\s\squared}}

\newcommand{\radSec}{\unit{\radian\per\s}}
\newcommand{\radSecSq}{\unit{\radian\per\s\squared}}

\sisetup{
  per-mode=fraction
}


% make matrix fast
\newcommand{\dAugMatrix}[1]{\mleft[\begin{array}{cc:c} #1 \end{array}\mright]}
\newcommand{\tAugMatrix}[1]{\mleft[\begin{array}{ccc:c} #1 \end{array}\mright]}
\newcommand{\qAugMatrix}[1]{\mleft[\begin{array}{cccc:c} #1 \end{array}\mright]}

\newcommand{\sAugMatrix}[2]{\mleft[\begin{array}{c:c} \bold #1 & \vec #2 \end{array}\mright]}

\newcommand{\colspace}[1]{\text C \mleft ( \bold {#1} \mright)}
\newcommand{\nullspace}[1]{\text N \mleft( \bold {#1} \mright)}

\newcommand{\fastMatrix}[1]{\mleft[\begin{array} #1 \end{array}\mright]}
% SHHHH i know this is bad practice having two similar names
% update: i have forgotten which did which... i beleive the 2nd one specifies wrapping details?
\newcommand{\fastmatrix}[2]{\mleft[\begin{array} {#1} #2 \end{array}\mright]}


% paren thesis
\newcommand{\paren}[1]{\mleft (#1 \mright )}
\newcommand{\abs}[1]{\mleft |#1 \mright |}

% row speed
\newcommand{\sfastrow}[6]{#1 & #2 & #3 & #4 & #5 & #6}
\newcommand{\ffastrow}[5]{#1 & #2 & #3 & #4 & #5}
\newcommand{\qfastrow}[4]{#1 & #2 & #3 & #4}
\newcommand{\tfastrow}[3]{#1 & #2 & #3 }
\newcommand{\dfastrow}[2]{#1 & #2 }

% for second lines
\newcommand{\srow}[6]{\\#1 & #2 & #3 & #4 & #5 & #6}
\newcommand{\frow}[5]{\\#1 & #2 & #3 & #4 & #5}
\newcommand{\qrow}[4]{\\#1 & #2 & #3 & #4}
\newcommand{\trow}[3]{\\#1 & #2 & #3 }
\newcommand{\drow}[2]{\\#1 & #2 }

% Some conveniences for me
\newcommand{\Laplace}[1]{\mathscr{L}\mleft[#1\mright]}
\newcommand{\InvLaplace}[1]{\mathscr{L}^{-1}\mleft[#1\mright]}
\newcommand{\mmf}{{\mathcal{F}}}
\newcommand{\reluc}{{\mathcal{R}}}
\newcommand{\real}{\mathbb{R}} % real symbol

% vectors
\newcommand{\fvector}[5]{\begin{bmatrix}  #1 \\ #2 \\#3 \\#4\\ #5 \end{bmatrix}}
\newcommand{\qvector}[4]{\begin{bmatrix}  #1 \\ #2 \\#3 \\#4 \end{bmatrix}}
\newcommand{\tvector}[3]{\begin{bmatrix}  #1 \\ #2 \\#3\end{bmatrix}}
\newcommand{\dvector}[2]{\begin{bmatrix} #1 \\ #2 \end{bmatrix}}

\newcommand{\qrowvec}[4]{\fastmatrix {cccc}{#1 & #2 & #3 & #4}}
\newcommand{\trowvec}[3]{\fastmatrix {ccc}{#1 & #2 & #3 }}
\newcommand{\drowvec}[2]{\fastmatrix {cc}{#1 & #2  }}

% matricies
\newcommand{\tmatrix}[9]{\begin{bmatrix} #1 & #2 & #3 \\ #4 & #5 & #6 \\ #7 & #8 & #9\end{bmatrix}}
\newcommand{\dmatrix}[4]{\begin{bmatrix} #1&#2 \\ #3 & #4\end{bmatrix}}
% col major order TODO
\newcommand{\tcmatrix}[9]{\begin{bmatrix} #1 & #2 & #3 \\ #4 & #5 & #6 \\ #7 & #8 & #9 \end{bmatrix}}
\newcommand{\dcmatrix}[4]{\begin{bmatrix} #1&#2 \\ #3 & #4 \end{bmatrix}}

% little naught convention
\newcommand{\naught}[1]{{#1_0}}

% subscript commands (can be easier to write, and include grouping)
\newcommand{\ds}[3]{{{#1}_{{#2}_{#3}}}}
\newcommand{\ts}[4]{{{#1_{#2_#3}}_#4}}

\newcommand{\ssv}[2]{{{\vec {#1}_{#2}}}} %vector sub
\newcommand{\dsv}[3]{{{\vec {#1}_{{#2}_{#3}}}}}

\newcommand{\ssp}[3]{{{{#1}_{#2}}^{#3}}} %subscript with power
\newcommand{\dsp}[4]{{{\ds {#1}{#2}{#3}}^#4}}

\newcommand{\dse}[3]{{{#1}_{#2#3}}} % subscript with both being equal (ie, 2 chars)

% with respect to
\newcommand{\wrt}[3]{{#1_{#2/#3}}}
\newcommand{\vwrt}[3]{{{}\vec #1_{#2/#3}}}

% inverty boi
\newcommand{\inv}[1]{{1 \over {#1}}}
\newcommand{\piover}[1]{{\pi \over #1}}

% grouping negative command
\newcommand{\n}[1]{{-#1}}
\newcommand{\dc}[2]{{#1#2}}

% function commands, wrap things up in some nice parenthesis
\newcommand{\spanf}[1]{\text{span}\mleft ( \mleft \{ #1 \mright \} \mright) }
\newcommand{\detf}[1]{\mleft | \bold {#1} \mright |}

\newcommand{\sinf}[1]{{\sin \paren{#1}}}
\newcommand{\cosf}[1]{{\cos \paren{#1}}}
\newcommand{\tanf}[1]{{\tan \paren{#1}}}

\newcommand{\atanf}[1]{{\tan^\n1 \paren{#1}}}
\newcommand{\acosf}[1]{{\cos^\n1 \paren{#1}}}
\newcommand{\asinf}[1]{{\sin^\n1 \paren{#1}}}

\newcommand{\rectf}[1]{{~\text{rect} \paren{#1}}}
\newcommand{\sincf}[1]{{~\text{sinc} \paren{#1}}}

\newcommand{\sumf}[2]{\sum_{n=#1}^{#2}}
\newcommand{\intf}[2]{\int_{#1}^{#2}}
\newcommand{\intfn}[2]{\intf {-#1} {#2}}

% vector of x (numberd subscripts)
\newcommand{\qvectorx}[1]{\qvector {#1_1} {#1_2} {#1_3} {#1_4}}
\newcommand{\tvectorx}[1]{\tvector {#1_1} {#1_2} {#1_3}}
\newcommand{\dvectorx}[1]{\dvector {#1_1} {#1_2}}

% NOTE: \newcommand{\tvectorx}[1]{\qvector {#1_1} {#1_2} {#1_3}} was valid

% faster units
\newcommand{\amp}{{\unit\Amp}}
\newcommand{\volt}{{\unit\volt}}
\newcommand{\kohm}{{\unit\kohm}}
\newcommand{\mA}{{\unit\mA}}
\newcommand{\mv}{{\unit\mV}}


% piecewise func
\newcommand{\dpiecewise}[4]{\mleft\{\begin{array}{lr} #1, & \text{if} #2 \\ #3, & \text{ if } #4 \end{array} \mright\}}
\newcommand{\tpiecewise}[6]{\mleft\{\begin{array}{lr} #1, & \text{if} #2 \\ #3, & \text{ if } #4 \\ #5, & \text{if } #6 \end{array} \mright\} }

%heavyweights
\newcommand{\pythag}[2]{{\sqrt {\paren{#1}^2 +\paren{#2}^2}}}
\newcommand{\pfrac}[3]{{\paren{\frac {#1} {#2}}^{#3}}} %parenthesis fraction