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author | siveshs <siveshs@gmail.com> | 2010-07-03 04:23:48 +0000 |
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committer | bnewbold <bnewbold@adelie.robocracy.org> | 2010-07-03 04:23:48 +0000 |
commit | 783187251d3cf67ff0e916e9252ac7953ffb53dc (patch) | |
tree | 3811f6cc0d0c221c77e2100e272975b7f7006e01 | |
parent | 4ec3329e7ccc87db9d15a35323df44e1142abe75 (diff) | |
download | afterklein-wiki-783187251d3cf67ff0e916e9252ac7953ffb53dc.tar.gz afterklein-wiki-783187251d3cf67ff0e916e9252ac7953ffb53dc.zip |
section 3 editing
-rw-r--r-- | Fourier Series.page | 2 |
1 files changed, 1 insertions, 1 deletions
diff --git a/Fourier Series.page b/Fourier Series.page index ae34c0f..ddcd3f4 100644 --- a/Fourier Series.page +++ b/Fourier Series.page @@ -121,7 +121,7 @@ In order to prove orthonormality of the basis vectors: $$ \begin{array}{ccl} -(f_n,f_m) = \int_0^{2\pi} \, \frac{1}{\sqrt{2\pi}} \, e^{inx} \, \longbar {\frac{1}{\sqrt{2\pi}} \, e^{inx}} \, dx\\ +(f_n,f_m) = \int_0^{2\pi} \, \frac{1}{\sqrt{2\pi}} \, e^{inx} \, \bar {\frac{1}{\sqrt{2\pi}} \, e^{inx}} \, dx\\ & = & \frac{1}{2\pi} \, \int_0^{2\pi} \, e^{i(n-m)x} \, dx \\ Here, n = m \Rightarrow (f_n,f_m) & = & 1\\ n \neq m \Rightarrow (f_n,f_m) & = & 0\\ |