6.8.2 Greatest hits from previous weeks

6.8.2.1 Plotting the frequency spectrum of a data series using Fourier

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=18082

testData = Table[N@Sin[500 x], {x, 0, 100}]; 
ListLinePlot[Abs[Fourier[testData]], PlotRange -> Full] 
 
 
Gives me 
 
 
 
Which I do not expect because the Fourier Transform is FourierTransform[Sin[500  ... 
[fourier-analysis]
 

asked by C. E. https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=731 14 votes

answered by KennyColnago https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=3246 16 votes

6.8.2.2 Generate a Unit Circle Trigonometry

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=2456

Struggling often with Trigonometry I would like to have some code to generate this Unit Circle Trigonometry. Would be of great help when I need to transform some data : 
 
 
 
[graphics] [trigonometry]
 

asked by 500 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=172 18 votes

answered by Mark McClure https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=36 32 votes

6.8.2.3 Figuring when the minute and hour hand coincide on a clock

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=573

I would like to list all possible times in a 12-hour period, where the hour hand overlaps the minute hand completely.  This is really a question about three distinct things - to be done in Mathematica  ... 
[equation-solving]
 

asked by Steve D https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=191 15 votes

answered by Verbeia https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=8 21 votes

6.8.2.4 Formatting legend text font

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=3433

I am using this code to plot a graph, and I am trying to make the font of the legend bigger. 
 
<<PlotLegends` 
ListLogLogPlot[{Sort[moby]}, PlotRange -> Full, Joined -> True, 
... 
[plotting] [legending]
 

asked by Julia https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=525 20 votes

answered by kglr https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=125 25 votes

6.8.2.5 How do I clear all user defined symbols?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=850

Is there some way to do this other than going to Evaluation -> Quit kernel and firing a new one up? 
 
[variable-definitions] [symbols] [faq] [clear] [persistence]
 

asked by niklasfi https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=82 95 votes

answered by Artes https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=184 92 votes

6.8.2.6 How to calculate contour integrals with Mathematica?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=34073

How to calculate the integral of $\frac{1}{\sqrt{4 z^2 + 4 z + 3}}$ over the unit circle counterclockwise for each branch of the integrand? 
 
[calculus-and-analysis] [complex]
 

asked by user64494 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=7152 40 votes

answered by Artes https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=184 63 votes

6.8.2.7 Calling Correct Function for Plotting DiracDelta

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=3506

I am wondering what is the correct function in Mathematica to plot the true impulse function, better known as the DiracDelta[] function. When using this inside of a function or just the function  ... 
[plotting] [functions]
 

asked by night owl https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=116 17 votes

answered by Heike https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=46 19 votes