Add new tabular showcasing the built-in math macros

chapters/mainmatter/base-features.tex

@@ -223,6 +223,88 @@ \subsection{Math}
 If color is turned off, they are still hyperlinks.
 If even that is undesired, that can also be turned off in that package.
 
+\subsubsection{Predefined Macros}
+
+The \ctanpackage{physics} package has some
+\href{https://tex.stackexchange.com/q/471532/120853}{issues},
+and as such, this document relies on a couple custom macros in place of it, see
+\cref{tab:predefined_math_macros}.
+
+\begin{table}
+ \ttabbox{%
+ \caption[Predefined math macros]{%
+ Predefined math macros.
+ Refer to the source code for help on the syntax.
+ For derivatives, the starred macros yield partial derivatives%
+ }%
+ \label{tab:predefined_math_macros}
+ }{%
+ \renewcommand*{\arraystretch}{1.8}% For the fracs, increase spacing (local effect)
+ \small
+ \begin{tabular}{%
+ @{}
+ l
+ l
+ @{}
+ }
+ % floatrow cannot be used with \verb, or even \texttt and escaped special
+ % characters, see "Limitations" in floatrow docs.
+ % As a consequence, use normal names and refer the reader to the source
+ % code.
+ \toprule
+ Name & Examples \\
+ \midrule
+ Mean & \(\mean{\sym{density}}\), \(\mean{\sym{area}}\) \\
+ Logarithmic Mean & \(\logmean{\sym{density}}\), \(\logmean{\sym{area}}\) \\
+ Flow & \(\flow{\sym{mass}}\), \(\flow{\sym{enthalpy}}\) \\
+ Delta & \(\difference{\sym{volume}}\), \(\difference{\symspec{enthalpy}}\) \\
+ Nabla Operator &
+ \(
+ \nablaoperator{\sym{first_cart_coord}},
+ \nablaoperator[3]{\sym{first_cart_coord}}
+ \) \\
+ Vectors & \(\vect{\sym{first_cart_coord}}\), \(\vect{A}\) \\
+ \addlinespace
+ Derivatives &
+ \(
+ \deriv{\sym{mass}},
+ \deriv[2]{\sym{first_cart_coord}},
+ \deriv*{\sym{mass}},
+ \deriv*[2]{\sym{first_cart_coord}}
+ \) \\
+ Fractional Deriv. &
+ \(
+ \fracderiv{\sym{voltage}}{\sym{time}},
+ \fracderiv[2]{\sym{second_cart_coord}}{\sym{first_cart_coord}},
+ \fracderiv*{\sym{voltage}}{\sym{time}},
+ \fracderiv*[2]{\sym{second_cart_coord}}{\sym{first_cart_coord}},
+ \fracderiv{\symspec{enthalpy}}{\sym{abs_temperature}},
+ \fracderiv[2]{\symspec{enthalpy}}{\sym{abs_temperature}},
+ \fracderiv*{\symspec{enthalpy}}{\sym{abs_temperature}},
+ \fracderiv*[2]{\symspec{enthalpy}}{\sym{abs_temperature}}
+ \) \\
+ Time Deriv.\mpfootnotemark[1] &
+ \(
+ \timederiv{\sym{voltage}},
+ \timederiv[2]{\sym{second_cart_coord}},
+ \timederiv*{\sym{voltage}},
+ \timederiv*[2]{\sym{first_cart_coord}}
+ \) \\
+ Positional Deriv.\mpfootnotemark[1] &
+ \(
+ \posderiv{\sym{volume}},
+ \posderiv[2]{\sym{velocity}},
+ \posderiv*{\sym{volume}},
+ \posderiv*[2]{\sym{velocity}}
+ \) \\
+ \bottomrule
+ \end{tabular}
+ \footnotetext[1]{%
+ As a shortcut version of fractional derivatives.%
+ }%
+ }
+\end{table}
+
 \subsubsection{Symbols}
 
 Note how the symbols in equations are hyperlinks