Last updates: 25 January 2010
A link to a section below.
Some reminder
Know that $${e}^{i\pi}+1=\sum _{n=0}^{\infty}\frac{{\left(i\pi \right)}^{n}}{n!}+1=0\text{,}$$ and stand in awe.
Equations can be inline. A question: is $\varnothing \in {\varnothing}^{c}$?
You can also have numbered equations. We have
$$\mathrm{Card}\left(\mathbb{Z}\right)={\aleph}_{0}<\mathrm{Card}\left({2}^{\mathbb{Z}}\right)=\mathrm{Card}\left(\mathbb{R}\right)=c<\mathrm{Card}\left({\mathbb{R}}^{\mathbb{R}}\right)$$ 
These are used for proofs.
These are used in problem sheets. Now with automatic numbering. Some questions are as follows.
What does it mean for a function $f\left(x\right)$ to be continuous at $x=a$? Explain how to test if a function is continuous at $x=a$.  
What does it mean for a function $f\left(x\right)$ to be differentiable at $x=a$? Explain how to test if a function is differentiable at $x=a$.  
What does ${\left.\left(df/dx\right)\right}_{x=a}$ indicate about the graph of $y=f\left(x\right)$? Explain why this is true. 
A diagram which uses param.js.
Some sort of 4way diagram.
Some sort of 3way diagram.
A 'popitup' link (to another copy of this page).
Proof. 


Some text.
A proposition.
A lemma.
A theorem.
A corollary.
List 1  


List 2  


List 3  

[BG] A. Braverman and D. Gaitsgory, Crystals via the affine Grassmanian, Duke Math. J. 107 no. 3, (2001), 561575; arXiv:math/9909077v2, MR1828302 (2002e:20083)