From: Michael Orlitzky <michael@orlitzky.com>
Date: Tue, 6 Aug 2019 00:41:51 +0000 (-0400)
Subject: Add mjo-calculus.tex for the gradient.
X-Git-Url: https://gitweb.michael.orlitzky.com/?a=commitdiff_plain;h=4fd0c97de0370110d6fecab412ec1b5b831611e8;p=mjotex.git

Add mjo-calculus.tex for the gradient.
---

diff --git a/GNUmakefile b/GNUmakefile
index 8f9fc6b..4474d2f 100644
--- a/GNUmakefile
+++ b/GNUmakefile
@@ -17,10 +17,11 @@ PN = examples
 
 # A space-separated list of the mjotex files that you use. The path to
 # mjotex must be contain in your $TEXINPUTS environment variable.
-MJOTEX  = mjo-algorithm.tex mjo-arrow.tex mjo-common.tex mjo-complex.tex
-MJOTEX += mjo-cone.tex mjo-convex.tex mjo-font.tex mjo-linear_algebra.tex
-MJOTEX += mjo-listing.tex mjo-misc.tex mjo-proof_by_cases.tex mjo-theorem.tex
-MJOTEX += mjo-theorem-star.tex mjo-topology.tex mjo.bst
+MJOTEX  = mjo-algorithm.tex mjo-arrow.tex mjo-calculus.tex mjo-common.tex
+MJOTEX += mjo-complex.tex mjo-cone.tex mjo-convex.tex mjo-font.tex
+MJOTEX += mjo-linear_algebra.tex mjo-listing.tex mjo-misc.tex
+MJOTEX += mjo-proof_by_cases.tex mjo-theorem.tex mjo-theorem-star.tex
+MJOTEX += mjo-topology.tex mjo.bst
 
 # Use kpsewhich (from the kpathsea suite) to find the absolute paths
 # of the bibtex/mjotex files listed in in $(BIBS)/$(MJOTEX). The SRCS
diff --git a/examples.tex b/examples.tex
index a1605c1..6e1c500 100644
--- a/examples.tex
+++ b/examples.tex
@@ -32,6 +32,11 @@
     domain, then the preimage under $f$ of $A$ is $\preimage{f}{A}$.
   \end{section}
 
+  \begin{section}{Calculus}
+    The gradient of $f : \Rn \rightarrow \Rn[1]$ is $\gradient{f} :
+    \Rn \rightarrow \Rn$.
+  \end{section}
+
   \begin{section}{Common}
     The function $f$ applied to $x$ is $f\of{x}$. We can group terms
     like $a + \qty{b - c}$ or $a + \qty{b - \sqty{c - d}}$. Here's a
diff --git a/mjo-calculus.tex b/mjo-calculus.tex
new file mode 100644
index 0000000..c162d34
--- /dev/null
+++ b/mjo-calculus.tex
@@ -0,0 +1,3 @@
+% The gradient of its argument, which should be a function from R^n to
+% R (or maybe some other field).
+\newcommand*{\gradient}[1]{ \nabla{{#1}} }
diff --git a/mjotex.sty b/mjotex.sty
index 0c5cd76..e01ea7b 100644
--- a/mjotex.sty
+++ b/mjotex.sty
@@ -1,5 +1,6 @@
 \input{mjo-algorithm}
 \input{mjo-arrow}
+\input{mjo-calculus}
 \input{mjo-common}
 \input{mjo-complex}
 \input{mjo-cone}