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#1 2014-02-20 05:11:25
- ronn
- Guest
Function of Fourier series
If we have the Fourier series
How can we found out what function corresponds to the Fourier series?
#2 2014-02-20 05:34:19
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Function of Fourier series
Hi;
Are all the terms on the right of the sigma in the sum?
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#3 2014-02-20 05:47:50
- ronn
- Guest
Re: Function of Fourier series
Yeah
#4 2014-02-20 05:50:34
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Function of Fourier series
Hi;
That is generally very difficult to do.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#5 2014-02-20 06:44:56
- ronn
- Guest
Re: Function of Fourier series
Another question, how can we calculate the sum of the Fourier series for a given value of t?
#6 2014-02-20 07:08:30
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Function of Fourier series
The sum can in some instances be done by the use of the summation calculus and sometimes through the use of tables or CAS.
Back to the first question, since a Fourier series is generated by integration we might recover the original function by differentiation. Do you know what the period was?
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#7 2014-02-20 07:11:45
- ronn
- Guest
Re: Function of Fourier series
The sum can in some instances be done by the use of the summation calculus and sometimes through the use of tables or CAS.
Back to the first question, since a Fourier series is generated by integration we might recover the original function by differentiation. Do you know what the period was?
Yes, the period is 2*pi.
#8 2014-02-20 12:09:02
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Function of Fourier series
0 to 2π or something else?
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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