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{| class="wikitable" border="1" style="text-align: center; width: 800px;"
 
{| 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;"
 
! scope="col" | Description  
 
! scope="col" | Description  
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| \sum_{k=0}^\infty x[n]\delta [n-k]
 
| \sum_{k=0}^\infty x[n]\delta [n-k]
 
|- style="height: 30px;"
 
|- style="height: 30px;"
| ''Fractions''
+
| ''Fractions''  
| <math>y=x^2/2 +\frac{x}{\phi}</math>
+
| <math>y=x^2/2 +\frac{x}{\phi}</math>  
|y=x^2/2 +\frac{x}{\phi}
+
| y=x^2/2 +\frac{x}{\phi}
 
|- style="height: 30px;"
 
|- style="height: 30px;"
|''Integrals''
+
| ''Integrals''  
|<math>\int\limits_{\alpha}^{\beta}e^\tau\ d\tau</math>
+
| <math>\int\limits_{\alpha}^{\beta}e^\tau\ d\tau</math>  
|\int\limits_{\alpha}^{\beta}e^\tau\ d\tau
+
| \int\limits_{\alpha}^{\beta}e^\tau\ d\tau
 
|- style="height: 30px;"
 
|- style="height: 30px;"
|''Braces and Script Characters''
+
| ''Braces and Script Characters''  
|<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)
 +
|}
 +
 
 +
<br>
 +
 
 +
{| class="wikitable" border="1" style="text-align: center; width: 800px;"
 +
|+ How to Format a Long Equation
 +
|-
 +
! scope="col" | What it looks like
 +
! scope="col" | What you type
 
|-
 
|-
|''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 \\  
+
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}</math>  
&= \int\limits_{0}^{2\pi} \bigg( 1-\Big(\frac{1}{2} +\frac{1}{2} cos(2\theta)\Big) \bigg)\ d\theta \\
+
| <nowiki>\begin{align} </nowiki>  <br> <br>
&= \int\limits_{0}^{2\pi} \frac{1}{2}\ d\theta -\frac{1}{2} \int\limits_{0}^{2\pi} cos(2\theta) \ d\theta \\
+
<nowiki> f(x) &= \int\limits_{0}^{2\pi} sin^2(\theta) \ d\theta \\ </nowiki> <br> <br>
&= \pi
+
<nowiki>&= \int\limits_{0}^{2\pi} \big(1-cos^2(\theta) \big)\ d\theta \\ </nowiki> <br> <br>
\end{align}
+
<nowiki>&= \int\limits_{0}^{2\pi} \bigg( 1-\Big(\frac{1}{2}</nowiki> +<br> <nowiki>\frac{1}{2} cos(2\theta)\Big) \bigg)\ d\theta \\ </nowiki> <br> <br>
</math>
+
<nowiki> &= \int\limits_{0}^{2\pi} \frac{1}{2}\ d\theta</nowiki> -<br> <nowiki>\frac{1}{2} \int\limits_{0}^{2\pi} cos(2\theta) \ d\theta \\ </nowiki> <br> <br>
|\begin{align}
+
<nowiki>&= \pi \end{align}</nowiki>
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}
+
 
|}
 
|}
 +
 +
 +
[[2011_Fall_ECE_438_Boutin|ECE438 Fall 2011 Homepage]]

Latest revision as of 11:27, 30 September 2014

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.


Commands helpful while doing the practice problems
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)


How to Format a Long Equation
What it looks like What you type
$ \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}


ECE438 Fall 2011 Homepage

Alumni Liaison

has a message for current ECE438 students.

Sean Hu, ECE PhD 2009