From 8f9b3b5be58c6f49a1392edcc902d4dd00a8a7a8 Mon Sep 17 00:00:00 2001 From: Nao Pross Date: Tue, 6 Oct 2020 17:38:31 +0200 Subject: Fix small error, add pdf --- komfour_zf.tex | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) (limited to 'komfour_zf.tex') 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 \[ b_n = \frac{4}{T}\int\limits_0^{T/2} f(t)\sin(n\omega t)\di{t} \] -- cgit v1.2.1