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|- | |- | ||
|''Long Equations'' | |''Long Equations'' | ||
| − | |<math>\begin{align} | + | |<math>\begin{align}f(x) &= \int\limits_{0}^{2\pi} sin^2(\theta) \ d\theta \\ &= \int\limits_{0}^{2\pi} \big(1-cos^2(\theta) \big)\ d\theta \\ |
| − | + | ||
| − | \int\limits_{0}^{2\pi} sin^2(\theta) \ d\theta | + | |
&= \int\limits_{0}^{2\pi} \bigg( 1-\Big(\frac{1}{2} +\frac{1}{2} cos(2\theta)\Big) \bigg)\ d\theta \\ | &= \int\limits_{0}^{2\pi} \bigg( 1-\Big(\frac{1}{2} +\frac{1}{2} cos(2\theta)\Big) \bigg)\ d\theta \\ | ||
&= \int\limits_{0}^{2\pi} \frac{1}{2}\ d\theta -\frac{1}{2} \int\limits_{0}^{2\pi} cos(2\theta) \ d\theta \\ | &= \int\limits_{0}^{2\pi} \frac{1}{2}\ d\theta -\frac{1}{2} \int\limits_{0}^{2\pi} cos(2\theta) \ d\theta \\ | ||
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</math> | </math> | ||
|\begin{align} | |\begin{align} | ||
| − | \int\limits_{0}^{2\pi} sin^2(\theta) \ d\theta &= \int\limits_{0}^{2\pi} \big(1-cos^2(\theta) \big)\ d\theta \\ | + | f(x) &= \int\limits_{0}^{2\pi} sin^2(\theta) \ d\theta \\ &= \int\limits_{0}^{2\pi} \big(1-cos^2(\theta) \big)\ d\theta \\ |
&= \int\limits_{0}^{2\pi} \bigg( 1-\Big(\frac{1}{2} +\frac{1}{2} cos(2\theta)\Big) \bigg)\ d\theta \\ | &= \int\limits_{0}^{2\pi} \bigg( 1-\Big(\frac{1}{2} +\frac{1}{2} cos(2\theta)\Big) \bigg)\ d\theta \\ | ||
&= \int\limits_{0}^{2\pi} \frac{1}{2}\ d\theta -\frac{1}{2} \int\limits_{0}^{2\pi} cos(2\theta) \ d\theta \\ | &= \int\limits_{0}^{2\pi} \frac{1}{2}\ d\theta -\frac{1}{2} \int\limits_{0}^{2\pi} cos(2\theta) \ d\theta \\ | ||
Revision as of 15:19, 2 September 2011
How to Enter Math in Rhea
This page shows many of the functions and symbols that you are likely to need while working on the practice problems. *hint hint
Basics of Rhea/Wiki Math
Math in Rhea is written using the Latex commands. To begin, you need use the math tags like: <math> formulas </math>.
Resources
You should know that there is a host of resources already to help you along. One great page on Rhea is How to type Math Equations. Another resource is Wikipedia's page on Functions, Symbols, and Special Characters.
| Description | What it looks like | What you type |
|---|---|---|
| Summations | $ \sum_{n=-\infty}^\infty x[n]e^{-j2\pi f} $ | \sum_{n=-\infty}^\infty x[n]e^{-j2\pi f} |
| Summations with Delta | $ \sum_{k=0}^\infty x[n]\delta [n-k] $ | \sum_{k=0}^\infty x[n]\delta [n-k] |
| Fractions | $ y=x^2/2 +\frac{x}{\phi} $ | y=x^2/2 +\frac{x}{\phi} |
| Integrals | $ \int\limits_{\alpha}^{\beta}e^\tau\ d\tau $ | \int\limits_{\alpha}^{\beta}e^\tau\ d\tau |
| Braces and Script Characters | $ \mathcal{F }\left \{ rect(t) \right \}, \mathcal{X}(\omega) $ | \mathcal{F }\left \{ rect(t) \right \}, \mathcal{X}(\omega) |
| Long Equations | $ \begin{align}f(x) &= \int\limits_{0}^{2\pi} sin^2(\theta) \ d\theta \\ &= \int\limits_{0}^{2\pi} \big(1-cos^2(\theta) \big)\ d\theta \\ &= \int\limits_{0}^{2\pi} \bigg( 1-\Big(\frac{1}{2} +\frac{1}{2} cos(2\theta)\Big) \bigg)\ d\theta \\ &= \int\limits_{0}^{2\pi} \frac{1}{2}\ d\theta -\frac{1}{2} \int\limits_{0}^{2\pi} cos(2\theta) \ d\theta \\ &= \pi \end{align} $ | \begin{align}
f(x) &= \int\limits_{0}^{2\pi} sin^2(\theta) \ d\theta \\ &= \int\limits_{0}^{2\pi} \big(1-cos^2(\theta) \big)\ d\theta \\ &= \int\limits_{0}^{2\pi} \bigg( 1-\Big(\frac{1}{2} +\frac{1}{2} cos(2\theta)\Big) \bigg)\ d\theta \\ &= \int\limits_{0}^{2\pi} \frac{1}{2}\ d\theta -\frac{1}{2} \int\limits_{0}^{2\pi} cos(2\theta) \ d\theta \\ &= \pi \end{align} |
