diff --git a/content/posts/hybrid-post.mdx b/content/posts/hybrid-post.mdx index 91ec1ad..8f58f44 100644 --- a/content/posts/hybrid-post.mdx +++ b/content/posts/hybrid-post.mdx @@ -11,7 +11,7 @@ author: James Liu coverImage: /images/fourier-cover.jpg --- -# Fourier Analysis: From Mathematical Theory to Python Practice +## Fourier Analysis: From Mathematical Theory to Python Practice Fourier analysis is one of the most beautiful and practical ideas in all of mathematics. It tells us that *any* sufficiently well-behaved periodic function can be expressed as an infinite sum of simple sines and cosines. This seemingly abstract claim has profound implications — from solving partial differential equations and compressing audio files to reconstructing medical images in MRI machines.