# Math in LaTeX

Let us start…

A matroid $M$ is a finite set $S$, and a collection $I$ of subsets of $S$ (called independent sets), such that:

1. $\emptyset\in I$
2. if $X\in I$ and $Y\subseteq X$, then $Y\in I$.
3. if $U,V\in I$ with $|U|=|V|+1$, then there is $x\in U\setminus V$ such that $V\cup\{x\}\in I$.

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Let us check greek letters and subindices: $\alpha$, $ax^2+bx+c=0$.

$\frac{dy}{dt}+y=e^t$.

Displayed equation:

$\displaystyle \frac{dy}{dt}+y=e^t$

update 39: Latex conversion…