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author | siveshs <siveshs@gmail.com> | 2010-07-03 04:06:44 +0000 |
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committer | bnewbold <bnewbold@adelie.robocracy.org> | 2010-07-03 04:06:44 +0000 |
commit | a7e6ffd52c66b8d88497f9d3f42182bd68c91087 (patch) | |
tree | 1d17be923e002509d4f8d0a8ba263043a25bc979 | |
parent | ca42a12ef1ec3fd144c22b6ab3986d4a0f274041 (diff) | |
download | afterklein-wiki-a7e6ffd52c66b8d88497f9d3f42182bd68c91087.tar.gz afterklein-wiki-a7e6ffd52c66b8d88497f9d3f42182bd68c91087.zip |
section 3 editing
-rw-r--r-- | Fourier Series.page | 7 |
1 files changed, 6 insertions, 1 deletions
diff --git a/Fourier Series.page b/Fourier Series.page index be72e2b..45ab957 100644 --- a/Fourier Series.page +++ b/Fourier Series.page @@ -103,7 +103,12 @@ inner product, (f,g) & = & \int_0^{2\pi} f g \,dx\\ $$ This is the inner product of 2 real-number functions. For a function on complex numbers, the above definition must be altered as follows: ---> altered function here +$$ +\begin{array}{ccl} +inner product, (f,g) & = & \int_0^{2\pi} f \vec g \,dx\\ +\mid f \mid ^2 = (f, f) & = & \int_0^{2\pi} f^2 \,dx\\ +\end{array} +$$ *Note: These are purely definitions, and we are now definining the inner product to ensure that inner product of f and f is a real number.* |