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| author | siveshs <siveshs@gmail.com> | 2010-07-02 19:47:21 +0000 |
|---|---|---|
| committer | bnewbold <bnewbold@adelie.robocracy.org> | 2010-07-02 19:47:21 +0000 |
| commit | 7dce994acfa2abc53ac586be143dc815f37c1a6a (patch) | |
| tree | 12ef283837e440d2a426b369dc30da88a5782f79 | |
| parent | 7f3b591990408b147463fd08f8af4b4c237d3319 (diff) | |
| download | afterklein-wiki-7dce994acfa2abc53ac586be143dc815f37c1a6a.tar.gz afterklein-wiki-7dce994acfa2abc53ac586be143dc815f37c1a6a.zip | |
section 2 editing
| -rw-r--r-- | Fourier Series.page | 7 |
1 files changed, 4 insertions, 3 deletions
diff --git a/Fourier Series.page b/Fourier Series.page index 8ac7870..40411b5 100644 --- a/Fourier Series.page +++ b/Fourier Series.page @@ -66,9 +66,10 @@ $$ It is easy to show that any product of cosines and sines can be expressed as the product of exponentials which will reduce to a sum of sines and cosines. -As a final test to see if the Fourier series really could exist for any periodic function, we consider a periodic function with a sharp peak as shown below ---- Image goes here --- - +As a final test to see if the Fourier series really could exist for any periodic function, we consider a periodic function with a sharp peak as shown below + + + If it is possible to approximate the above function using a sum of sines and cosines, then it can be argued that *any* continuous periodic function can be expressed in a similar way. This is because any function could be expressed as a number of peaks at every position. |