Update commands.sty

packages/commands.sty

@@ -38,6 +38,49 @@
 \newcommand { \dv } { \ , dv }
 \newcommand { \dtheta } { \ , d \theta }
 
+% Integral over a path
+\newcommand{\pathint}{\oint}
+
+% Integral over a volume
+\newcommand{\volint}{\iiint}
+
+% Modulo operator
+\newcommand{\modulo}[2]{#1 \bmod #2}
+
+% Big-O notation
+\newcommand{\bigO}[1]{\mathcal{O}\left( #1 \right)}
+
+% Laplacian operator
+\newcommand{\laplacian}{\nabla^2}
+
+% Fourier transform
+\newcommand{\fourier}[1]{\mathcal{F}\left\{ #1 \right\}}
+\newcommand{\invfourier}[1]{\mathcal{F}^{-1}\left\{ #1 \right\}}
+
+% Laplace transform
+\newcommand{\laplace}[1]{\mathcal{L}\left\{ #1 \right\}}
+\newcommand{\invlaplace}[1]{\mathcal{L}^{-1}\left\{ #1 \right\}}
+
+% Z-transform
+\newcommand{\ztransform}[1]{\mathcal{Z}\left\{ #1 \right\}}
+\newcommand{\invztransform}[1]{\mathcal{Z}^{-1}\left\{ #1 \right\}}
+
+% Commutator
+\newcommand{\commutator}[2]{\left[ #1, #2 \right]}
+
+% Anticommutator
+\newcommand{\anticommutator}[2]{\left\{ #1, #2 \right\}}
+
+% Dot product
+\newcommand{\dotprod}[2]{\mathbf{#1} \cdot \mathbf{#2}}
+
+% Cross product
+\newcommand{\crossprod}[2]{\mathbf{#1} \times \mathbf{#2}}
+
+% Tensor product
+\newcommand{\tensorprod}[2]{\mathbf{#1} \otimes \mathbf{#2}}
+
+
 % For specially formatted fractions
 \newcommand { \textfrac } [ 2 ] { \frac { \text { #1 } } {
 \text { #2 } } }
@@ -72,6 +115,11 @@
 \Leftarrow } }
 \newcommand { \backwards } { ``$ \Leftarrow $ ''}
 
+% Standard basis vectors in R^3
+\newcommand{\ihat}{\hat{\mathbf{i}}}
+\newcommand{\jhat}{\hat{\mathbf{j}}}
+\newcommand{\khat}{\hat{\mathbf{k}}}
+
 
 
 %%% Quantic