Skip to content

Commit

Permalink
Add \, after comma in math
Browse files Browse the repository at this point in the history
  • Loading branch information
henrikt-ma committed Mar 3, 2021
1 parent 30d9d43 commit b075725
Showing 1 changed file with 3 additions and 3 deletions.
6 changes: 3 additions & 3 deletions chapters/functions.tex
Expand Up @@ -1443,7 +1443,7 @@ \subsection{Using the Derivative Annotation}\label{using-the-derivative-annotati
In the example above \lstinline!zeroDerivative=y! and \lstinline!zeroDerivative=offset! imply that
\begin{equation*}
\begin{aligned}
\udfrac{}{t}\text{\lstinline!f!}(x(t),y(t),o(t))
\udfrac{}{t}\text{\lstinline!f!}(x(t),\, y(t),\, o(t))
&= \pdfrac{\text{\lstinline!f!}}{x} \udfrac{x}{t} + \pdfrac{\text{\lstinline!f!}}{y} \udfrac{y}{t} + \pdfrac{\text{\lstinline!f!}}{o} \udfrac{o}{t}\\
&= \pdfrac{\text{\lstinline!f!}}{x} \udfrac{x}{t} + \pdfrac{\text{\lstinline!f!}}{y} \cdot 0 + \pdfrac{\text{\lstinline!f!}}{o} \cdot 0\\
&= \pdfrac{\text{\lstinline!f!}}{x} \udfrac{x}{t}\\
Expand Down Expand Up @@ -1500,10 +1500,10 @@ \subsection{Using the Derivative Annotation}\label{using-the-derivative-annotati
\begin{equation*}
\begin{aligned}
\udfrac{}{t}\text{\lstinline!fg!}(x(t))
&= \udfrac{}{t}\text{\lstinline!f!}(x(t),\text{\lstinline!g!}(x(t)))\\
&= \udfrac{}{t}\text{\lstinline!f!}(x(t),\, \text{\lstinline!g!}(x(t)))\\
&= \pdfrac{\text{\lstinline!f!}}{x} \udfrac{x}{t} + \pdfrac{\text{\lstinline!f!}}{y} \pdfrac{\text{\lstinline!g!}}{x} \udfrac{x}{t}\\
&= \left(\pdfrac{\text{\lstinline!f!}}{x} + \pdfrac{\text{\lstinline!f!}}{y} \pdfrac{\text{\lstinline!g!}}{x} \right) \udfrac{x}{t}\\
&= \text{\lstinline!h!}(x(t),y(t))) \udfrac{x}{t}
&= \text{\lstinline!h!}(x(t),\, y(t))) \udfrac{x}{t}
\end{aligned}
\end{equation*}
\end{nonnormative}
Expand Down

0 comments on commit b075725

Please sign in to comment.