| Line 15: | Line 15: | ||
<br> | <br> | ||
| − | {| class="wikitable" border="1" style="text-align: center; width: | + | {| class="wikitable" border="1" style="text-align: center; width: 800px;" |
|+ Commands helpful while doing the practice problems | |+ Commands helpful while doing the practice problems | ||
|- style="height: 40px;" | |- style="height: 40px;" | ||
| Line 41: | Line 41: | ||
|<math>\mathcal{F }\left \{ rect(t) \right \}, \mathcal{X}(\omega)</math> | |<math>\mathcal{F }\left \{ rect(t) \right \}, \mathcal{X}(\omega)</math> | ||
|\mathcal{F }\left \{ rect(t) \right \}, \mathcal{X}(\omega) | |\mathcal{F }\left \{ rect(t) \right \}, \mathcal{X}(\omega) | ||
| + | |- | ||
| + | |''Long Equations'' | ||
| + | |<math>\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 \\ | ||
| + | &= \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} | ||
| + | </math> | ||
| + | |\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 \\ | ||
| + | &= \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} | ||
|} | |} | ||
Revision as of 14:17, 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} \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}
\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} |
