From 6e70f28ccbd5afc1506f71f013278a9d157ef03a Mon Sep 17 00:00:00 2001 From: Prefetch Date: Thu, 27 Oct 2022 20:40:09 +0200 Subject: Optimize last images, add proof template, improve CSS --- source/know/concept/fourier-transform/index.md | 23 ++++++++--------------- 1 file changed, 8 insertions(+), 15 deletions(-) (limited to 'source/know/concept/fourier-transform') diff --git a/source/know/concept/fourier-transform/index.md b/source/know/concept/fourier-transform/index.md index 0bc849b..c86d997 100644 --- a/source/know/concept/fourier-transform/index.md +++ b/source/know/concept/fourier-transform/index.md @@ -67,6 +67,7 @@ on whether the analysis is for forward ($$s > 0$$) or backward-propagating ($$s < 0$$) waves. + ## Derivatives The FT of a derivative has a very useful property. @@ -113,6 +114,7 @@ $$\begin{aligned} \end{aligned}$$ + ## Multiple dimensions The Fourier transform is straightforward to generalize to $$N$$ dimensions. @@ -150,11 +152,8 @@ $$\begin{aligned} } \end{aligned}$$ -
- - - -
Differentiation is more complicated for $$N > 1$$, but the FT is still useful, @@ -197,11 +195,8 @@ $$\begin{aligned} } \end{aligned}$$ -
- - - -
+{% include proof/end.html id="proof-laplacian" %} -- cgit v1.2.3