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Contents
== Some Equations
=== Number Theory
The equation
$a^2 + b^2 = c^2$ has infinitely many
non-proportional integer solutions.
The integer solutions of the equation
\[
a^3 + b^3 = c^3
\]
are trivial: at least one entry is
zero and the others are "obvious"
=== Calculus
A definite integral:
\[
\int_0^1 x^n dx = \frac{1}{n}
\]
The fundamental theorem of calculus:
\[
\frac{d}{dx} \int_a^x f(t) dt = f(x)
\]
=== Linear algebra
A matrix:
\[
M = \left[
\begin{array}{ c c }
1 & 2 \\
3 & 4
\end{array} \right]
\]
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17 entries across 17 versions & 1 rubygems