Difference between revisions of "Formatting"

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(Theorem (fundamental theorem of calculus))
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== Theorem (fundamental theorem of calculus)  ==  
 
== Theorem (fundamental theorem of calculus)  ==  
 
''Let <math>(a', b') \in \mathbb{R}</math> be a non-empty open interval, and suppose <math>f: (a', b')\to \mathbb{R}</math> is a continuously differentiable function. Then for each <math>a, b\in \mathbb{R}</math> satisfying <math>a' < a< b< b'</math>, we have
 
''Let <math>(a', b') \in \mathbb{R}</math> be a non-empty open interval, and suppose <math>f: (a', b')\to \mathbb{R}</math> is a continuously differentiable function. Then for each <math>a, b\in \mathbb{R}</math> satisfying <math>a' < a< b< b'</math>, we have
<center><math>\int_a^b f'(x)\; dx = f(b)-f(a).</math></center>''
+
<center><math>\int_a^b f'(x)\; dx = f(b)-f(a).</math></center>'' Boo!

Revision as of 07:24, 12 May 2017

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}}}}



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).
Boo!