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Fourier series: odd & even extensions

Newbie

Fourier series: odd & even extensions

I'm setting up a couple of worksheets (though ideally I'd like to have 2 in 1) that will enable me to work out Fourier series, the respective odd & even extensions and display the graphs.

Questions:

1) Is there a way to display a function g(t) in one set of curly brackets? e.g. (something looking like this but inside the culry brackets)

1 (0 < t <= 1)

g(t) = {

2 - t (1 < t <= 2)

2) Calculations are flagged in red (actually, nothing is being calculated at all!) when I try to work out the Fourier series of g(t) symbolically. I'm not sure what it is that I've missed?!?

N.B. I have used the necessary parts from a worksheet that came with my MathCad package 14.0 M020 and trying to make some sense of it.

7 REPLIES 7

Re: Fourier series: odd & even extensions

Ad 1) Use the if from the programming palette. No curly brackets but as near as you can get. See attached

Fourier_if.png

Ad 2) You have no functions A() and B() defined, therefore the error. See attached

Re: Fourier series: odd & even extensions

Re: Fourier series: odd & even extensions

Werner Exinger wrote:

Ad 1) Use the if from the programming palette. No curly brackets but as near as you can get. See attached

Fourier_if.png

Ad 2) You have no functions A() and B() defined, therefore the error. See attached

I see. Thank you very much!

Re: Fourier series: odd & even extensions

One word of caution: If you want to use the function definition with the programming structure to calculate the Fourier coefficients replace the NaN for 0. Otherwise the integrals won't even evaluate numerically.

Re: Fourier series: odd & even extensions

Hi! Hope you can help me with one also.

The integral I set-up for the sine and cosine series always gets this non-coverging error message. I believed I've stated all parameters needed already.

Capture.PNG

Re: Fourier series: odd & even extensions

With help this Mathcad web-sheet http://twtmas.mpei.ac.ru/mas/Worksheets/Fourier.mcd

Fo.png

Re: Fourier series: odd & even extensions

Why don't you open a new thread for a new question and most important - attach your worksheet.

Its hard to debug a picture rather than the sheet itself.

Apart from the unnecessary definition of the range t and a[0, best guess is that you have used the wrong indices for a and b - you have to use vector indices and not the literal index.

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