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.

Some text, more text, some more text. Some text, more text, some more text. Some text, more text, some more text. Some text, more text, some more text.

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…

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