Formatting

This page is dedicated to providing examples of how to mark up mathematics on this page. The idea is to simply list useful examples that people can cut/paste/modify.

One might be interested in an in-line equation like the following, $\int _{a}^{b}f'(x)\;dx=f(b)-f(a)$, which of course is the fundamental theorem of calculus. Alternatively, one might like to see it displayed on its own line like so:

$\int _{a}^{b}f'(x)\;dx=f(b)-f(a)$

Words can of course be written in bold or italicized or external [links] can be provided. For a good overview of basic formatting try [here].

For help with math formatting, the following [page] seems particularly useful, since it shows how to display a lot of standard math effects, including some crazy ones like the following:

$\sideset {_{1}^{2}}{_{3}^{4}}\prod _{a}^{b}\qquad \qquad {\text{and}}\qquad \qquad \underbrace {a+b+\cdots +z}_{{26{\text{ terms}}}}$

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One thing that is probably important is the formatting for theorems and definitions. I strongly feel that they should abide by a consistent format, but the precise format can be decided upon at a later date. Here is one proposal.

Theorem (fundamental theorem of calculus)

Let $(a',b')\in {\mathbb {R}}$ be a non-empty open interval, and suppose $f:(a',b')\to {\mathbb {R}}$ is a continuously differentiable function. Then for each $a,b\in {\mathbb {R}}$ satisfying $a'<a<b<b'$, we have

$\int _{a}^{b}f'(x)\;dx=f(b)-f(a).$