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Diffstat (limited to '')
| -rw-r--r-- | komfour_zf.tex | 4 |
1 files changed, 2 insertions, 2 deletions
diff --git a/komfour_zf.tex b/komfour_zf.tex index 485eb1e..cc42a1d 100644 --- a/komfour_zf.tex +++ b/komfour_zf.tex @@ -462,11 +462,11 @@ \begin{theorem}[Fourier coefficients of even and odd functions] Recall that a function is said to be \emph{even} if \(f(-x) = f(x)\) or \emph{odd} if \(f(-x) = -f(x)\). We can show that if a function is \begin{itemize} - \item odd, then \(b_n = 0\) for all \(n\), and + \item even, then \(b_n = 0\) for all \(n\), and \[ a_n = \frac{4}{T}\int\limits_0^{T/2} f(t)\cos(n\omega t)\di{t} \] - \item even, then \(a_n = 0\) for all \(n\), and + \item odd, then \(a_n = 0\) for all \(n\), and \[ b_n = \frac{4}{T}\int\limits_0^{T/2} f(t)\sin(n\omega t)\di{t} \] |