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[[Category:ECE438Fall2011Boutin]] | [[Category:ECE438Fall2011Boutin]] | ||
[[Category:problem solving]] | [[Category:problem solving]] | ||
| − | = Learn how to | + | = [[:Category:Problem_solving|Practice Problem]]: Learn how to post equations using latex on Rhea = |
| − | Write an equation below. Don't be shy, just try it out! You can find some help on this page: [[How_to_type_Math_Equations|"How to type math equations on Rhea"]]. | + | Write an equation below. Don't be shy, just try it out! You can find some help on this page: [[How_to_type_Math_Equations|"How to type math equations on Rhea"]]. Your TA has also kindly created a [[How_to_Enter_Math_in_Rhea|cheat sheet]] especially for writing ECE438 related equations. |
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==Share your answers below== | ==Share your answers below== | ||
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<math> E = mc^{2}</math> | <math> E = mc^{2}</math> | ||
:<span style="color:purple">Instructor's comments: I personally prefer to write this as <math> E = 17 mc^{2}</math>. -pm </span> | :<span style="color:purple">Instructor's comments: I personally prefer to write this as <math> E = 17 mc^{2}</math>. -pm </span> | ||
| + | :<span style="color:blue">Student's comments: Ahhh, incorporating the most random number into one of the classic equations. Sheer brilliance. </span> | ||
===Answer 8=== | ===Answer 8=== | ||
<math>f_1(t)=\int_3^5 \sin (x) dx</math> | <math>f_1(t)=\int_3^5 \sin (x) dx</math> | ||
===Answer 9=== | ===Answer 9=== | ||
<math>x = \frac{-b + \sqrt{b^2 - 4ac}}{2a}</math> | <math>x = \frac{-b + \sqrt{b^2 - 4ac}}{2a}</math> | ||
| + | :<span style="color:purple">Instructor's comments: This is how you get the plus/minus sign: <math>x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}</math> -pm </span> | ||
===Answer 10=== | ===Answer 10=== | ||
<math>cos^2{x}+sin^2{x}=1</math> | <math>cos^2{x}+sin^2{x}=1</math> | ||
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===Answer 12=== | ===Answer 12=== | ||
<math>y(t) = \cos (12 \pi t)</math> | <math>y(t) = \cos (12 \pi t)</math> | ||
| + | ===Answer 13=== | ||
| + | <math>\int_{3}^{21}\frac{1}{x}dx = \log(7)</math> | ||
| + | ===Answer 14=== | ||
| + | <math>e^{j\theta} = \cos(\theta) + j\sin(\theta)</math> | ||
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[[2011_Fall_ECE_438_Boutin|Back to ECE438 Fall 2011 Prof. Boutin]] | [[2011_Fall_ECE_438_Boutin|Back to ECE438 Fall 2011 Prof. Boutin]] | ||
Latest revision as of 08:56, 11 November 2011
Practice Problem: Learn how to post equations using latex on Rhea
Write an equation below. Don't be shy, just try it out! You can find some help on this page: "How to type math equations on Rhea". Your TA has also kindly created a cheat sheet especially for writing ECE438 related equations.
You will receive feedback from your instructor and TA directly on this page. Other students are welcome to comment/discuss/point out mistakes/ask questions too!
Answer 1
$ 2+2=4 $
Answer 2
$ x(t)= e^{j t} $
Answer 3
$ 1/2=0.5 $
- Instructor's comments:Another way to write this is: $ \frac{1}{2}=0.5 $. You can also align it like this: $ \frac{1}{2}=0.5 $. -pm
- TA's comments: A easy way to start is to modifying the source code of a existed webpage. For example, homework1 solution. You can check out the source code of the webpage by clicking the "Edit this page" button located at the up-left corner.
- TA's comments: Here is another useful link from wiki listing all the latex code for displaying formula.
Answer 4
$ y(t) = cos(2*pi*t) $
- Instructor's comments: Another way to write this is: $ y(t) = \cos ( 2 \pi t) $. Note that using the * symbol for multiplication is confusing: it usually means convolution. -pm
Answer 5
$ y(t) = sin(2*pi*t) $
- Instructor's comments: Please read the comments above. -pm
Answer 6
$ a^2+b^2=c^2 $
Answer 7
$ E = mc^{2} $
- Instructor's comments: I personally prefer to write this as $ E = 17 mc^{2} $. -pm
- Student's comments: Ahhh, incorporating the most random number into one of the classic equations. Sheer brilliance.
Answer 8
$ f_1(t)=\int_3^5 \sin (x) dx $
Answer 9
$ x = \frac{-b + \sqrt{b^2 - 4ac}}{2a} $
- Instructor's comments: This is how you get the plus/minus sign: $ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} $ -pm
Answer 10
$ cos^2{x}+sin^2{x}=1 $
- Instructor's comments: You do not actually need the "curly brackets" around the x. You can just write this $ \cos^2 x+\sin^2 x=1 $. -pm
Answer 11
$ y_n=\cos(2 \pi n) $
Answer 12
$ y(t) = \cos (12 \pi t) $
Answer 13
$ \int_{3}^{21}\frac{1}{x}dx = \log(7) $
Answer 14
$ e^{j\theta} = \cos(\theta) + j\sin(\theta) $
