(New page: Use latex code in between math tags as follows: <pre><math>Insert formula here</math> </pre> For example <center> =The basic estimate for the rectangle method= </center> Suppose that <ma...) |
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| − | + | To type in math symbols on Rhea, use latex code in between math tags as follows: <pre><math>Insert formula here</math> </pre> | |
| + | For example, you can write <math>f_1(t)=\int_3^t \sin (x) dx</math> | ||
| + | Look at the source code of this page to find out how. | ||
| − | |||
| − | |||
| − | |||
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| + | ==More Examples== | ||
Suppose that <math>f(x)</math> is a continuously differentiable function on | Suppose that <math>f(x)</math> is a continuously differentiable function on | ||
<math>[a,b]</math>. Let <math>N</math> be a positive integer and let | <math>[a,b]</math>. Let <math>N</math> be a positive integer and let | ||
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<math>E\le \frac{M(b-a)^2}{N}</math>. | <math>E\le \frac{M(b-a)^2}{N}</math>. | ||
| + | |||
| + | Here are some examples of math equations: | ||
| + | |||
| + | <math>\frac{1^5}{\sin(\pi)}</math> | ||
| + | |||
| + | <math>\iiint_{F}^{U} x^2+y^3+\sqrt[7]{z}\, d\theta\,dr\,dz</math> | ||
| + | |||
| + | === Multi-lin Equations === | ||
| + | You can align multi-line equations as follows. | ||
| + | <div style="margin-left: 3em;"> | ||
| + | <math> | ||
| + | \begin{align} | ||
| + | \bar f(x) &= \oint_S g(x) dx \\ | ||
| + | &= \int_a^b g(x) dx \\ | ||
| + | &= \frac{\mu_0}{2 \pi a \cdot b} | ||
| + | \end{align} | ||
| + | </math> | ||
| + | </div> | ||
| + | |||
| + | See Also: | ||
| + | * [http://en.wikipedia.org/wiki/Help:Formula Using Latex on Rhea] | ||
| + | * [http://www.ctan.org/tex-archive/info/symbols/comprehensive/ Comprehensive list of LaTeX commands] | ||
Revision as of 08:44, 2 January 2009
To type in math symbols on Rhea, use latex code in between math tags as follows:<math>Insert formula here</math>
For example, you can write $ f_1(t)=\int_3^t \sin (x) dx $ Look at the source code of this page to find out how.
More Examples
Suppose that $ f(x) $ is a continuously differentiable function on $ [a,b] $. Let $ N $ be a positive integer and let $ M=\text{Max}\ \{ |f'(x)|: a\le x\le b\} $. Define $ R_N $ to be the the right endpoint Riemann Sum
$ R_N = \sum_{n=1}^N f(a+n\Delta x)\Delta x $
where $ \Delta x = (b-a)/N $, and let
$ I=\int_a^b f(x)\ dx $.
We shall prove that the error, $ E=|R_N-I| $ satisfies the estimate,
$ E\le \frac{M(b-a)^2}{N} $.
Here are some examples of math equations:
$ \frac{1^5}{\sin(\pi)} $
$ \iiint_{F}^{U} x^2+y^3+\sqrt[7]{z}\, d\theta\,dr\,dz $
Multi-lin Equations
You can align multi-line equations as follows.
$ \begin{align} \bar f(x) &= \oint_S g(x) dx \\ &= \int_a^b g(x) dx \\ &= \frac{\mu_0}{2 \pi a \cdot b} \end{align} $
See Also:
