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| -rw-r--r-- | Fourier Series.page | 4 |
1 files changed, 2 insertions, 2 deletions
diff --git a/Fourier Series.page b/Fourier Series.page index f084674..041a83a 100644 --- a/Fourier Series.page +++ b/Fourier Series.page @@ -72,10 +72,10 @@ As a final test to see if the Fourier series really could exist for any periodic 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. -It turns out that the above function can be approximated as the sum of two cosines, namely, $\cos^{2n}(x) + cos^{2n+1}(x)$ +It turns out that the above function can be approximated as the difference of two cosines, namely, $\cos^{2n}(x) + cos^{2n+1}(x)$ <center>  </center> Summing these two functions we get the following: - ##What is the Fourier series actually?</b> |