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mathjax wins

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Dan Buch 2012-04-02 07:42:09 -04:00
parent a2fbf91015
commit 68886709d6
4 changed files with 106 additions and 0 deletions
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1
math-replay/.gitignore vendored
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*.aux
*.log
*.pdf
*.html

8
math-replay/Makefile Normal file
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ALL := $(patsubst %.haml,%.html,$(shell find . -name '*.haml'))
%.html:%.haml
haml $^ $@
all: $(ALL)

88
math-replay/algebra/solving-for-a-variable.haml Normal file
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%html
%head
%script{:type => "text/x-mathjax-config"}
MathJax.Hub.Config({tex2jax: {inlineMath: [['$','$'], ['\\(','\\)']]}});
%script{:type => "text/javascript", :src => "http://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML"}
:css
.solution {
border-top: 1px dotted #222;
}
%body
%h2 Solve for $l$:
#solve-for-l-01.solution
:escaped
$$
\begin{eqnarray}
-2lmn + 8m - 3n + 9 & = & -5m + 3n - 7 \\
-2lmn + 8m - 3n + 9 - 9 & = & -5m + 3n - 7 - 9 \\
-2lmn + 8m - 3n & = & -5m + 3n - 16 \\
-2lmn + 8m - 3n + 3n & = & -5m + 3n - 16 + 3n \\
-2lmn + 8m & = & -5m + 3n - 16 + 3n \\
-2lmn + 8m - 8m & = & -5m + 3n - 16 + 3n - 8m \\
-2lmn & = & -5m + 3n - 16 + 3n - 8m \\
\frac{-2lmn}{-2} & = & \frac{-5m + 3n - 16 + 3n - 8m}{-2} \\
lmn & = & \frac{-5m + 3n - 16 + 3n - 8m}{-2} \\
\frac{lmn}{mn} & = & \frac{\frac{-5m + 3n - 16 + 3n - 8m}{-2}}{mn} \\
l & = & \frac{\frac{-5m + 3n - 16 + 3n - 8m}{-2}}{mn} \\
l & = & \frac{\frac{-5m - 16 + 6n - 8m}{-2}}{mn} \\
l & = & \frac{\frac{-16 + 6n - 13m}{-2}}{mn} \\
l & = & \frac{8 - 3n - \frac{13m}{-2}}{mn} \\
\end{eqnarray}
$$
#solve-for-l-02.solution
:escaped
$$
\begin{eqnarray}
-2lmn + 8m - 3n + 9 & = & -5m + 3n - 7 \\
-2lmn + 8m - 3n + 9 - 9 & = & -5m + 3n - 7 - 9 \\
-2lmn + 8m - 3n & = & -5m + 3n + 2 \\
-2lmn + 8m - 3n + 3n & = & -5m + 3n + 2 + 3n \\
-2lmn + 8m & = & -5m + 6n + 2 \\
-2lmn + 8m - 8m & = & -5m + 6n + 2 - 8m \\
-2lmn & = & -13m + 6n + 2 \\
\frac{-2lmn}{-2} & = & \frac{-13m + 6n + 2}{-2} \\
lmn & = & \frac{-13m}{-2} + \frac{6n}{-2} + \frac{2}{-2} \\
lmn & = & \frac{-13m}{-2} + \frac{6n}{-2} - 1 \\
lmn & = & \frac{-13m}{-2} + \frac{3n}{-1} - 1 \\
lmn & = & \frac{-13m}{-2} - 3n - 1 \\
\frac{lmn}{mn} & = & \frac{\frac{-13m}{-2} - 3n - 1}{mn} \\
l & = & \frac{\frac{-13m}{-2} - 3n - 1}{mn} \\
\end{eqnarray}
$$
#solve-for-l-03.solution
:escaped
$$
\begin{eqnarray}
-2lmn + 8m - 3n + 9 & = & -5m + 3n - 7 \\
-9 + -2lmn + 8m - 3n + 9 & = & -9 + -5m + 3n - 7 \\
-2lmn + 8m - 3n & = & -9 + -5m + 3n - 7 \\
-2lmn + 8m - 3n & = & -5m + 3n - 7 - 9 \\
-2lmn + 8m - 3n & = & -5m + 3n + -7 + -9 \\
-2lmn + 8m - 3n & = & -5m + 3n + -16 \\
-2lmn + 8m - 3n + 3n & = & -5m + 3n + -16 + 3n \\
-2lmn + 8m & = & -5m + -16 + 6n \\
-2lmn + 8m - 8m & = & -5m + -16 + 6n - 8m \\
-2lmn & = & -13m + 6n + -16 \\
\frac{-2lmn}{-2mn} & = & \frac{-13m + 6n + -16}{-2mn} \\
l & = & \frac{-13m + 6n + -16}{-2mn} \\
l & = & \frac{13m - 6n + 16}{2mn} \\
\end{eqnarray}
$$
%h2 Solve for $x$:
#solve-for-x-01.solution
:escaped
$$
\begin{eqnarray}
-2xy + 5xz - 5x + 10 & = & -6y - 2 \\
-2xy + 5xz - 5x + 10 - 10 & = & -6y - 2 - 10 \\
-2xy + 5xz - 5x & = & -6y + -2 + -10 \\
-2xy + 5xz - 5x & = & -6y + -12 \\
-2xy + 5xz - 5xz - 5x & = & -6y - 12 - 5xz \\
-2xy - 5x & = & -6y - 12 - 5xz \\
-2xy + 2xy - 5x & = & -6y - 12 - 5xz + 2xy \\
-5x & = & -6y - 12 - 5xz + 2xy \\
\end{eqnarray}
$$

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math-replay/mathjax-demo.haml Normal file
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%html
%head
%script{:type => "text/x-mathjax-config"}
MathJax.Hub.Config({tex2jax: {inlineMath: [['$','$'], ['\\(','\\)']]}});
%script{:type => "text/javascript", :src => "http://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML"}
%body
%p
When $a \ne 0$, there are two solutions to \(ax^2 + bx + c = 0\)
and they are $$x = {-b \pm \sqrt{b^2-4ac} \over 2a}.$$