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| -rw-r--r-- | ClassJune28.page | 2 |
1 files changed, 1 insertions, 1 deletions
diff --git a/ClassJune28.page b/ClassJune28.page index 1934c8e..6359933 100644 --- a/ClassJune28.page +++ b/ClassJune28.page @@ -205,7 +205,7 @@ Due to orthonormality of basis vectors, the inner product in the right-hand side Thus, $$ (f, f_m) = a_m $$ Using the definition of the inner product, -$$ a_m = \int_0^{2\pi} \, f \, \frac{1}{\sqrt{2\pi}} \, e^ {-inx} \, dx $$ +$$ a_m = \int_0^{2\pi} \, f \, \frac{1}{\sqrt{2\pi}} \, e^ {-imx} \, dx $$ This is the common definition for the terms of the Fourier series. |