From e2cf382fbd4f6ed322768bced720c87186a5752f Mon Sep 17 00:00:00 2001 From: Rachel Lambda Samuelsson Date: Wed, 17 Jul 2024 22:30:25 +0200 Subject: [PATCH] fix katex complaining --- src/posts/a-favourite-proof-of-mine.md | 12 +++++++++--- 1 file changed, 9 insertions(+), 3 deletions(-) diff --git a/src/posts/a-favourite-proof-of-mine.md b/src/posts/a-favourite-proof-of-mine.md index 7a30d14..e07dff6 100644 --- a/src/posts/a-favourite-proof-of-mine.md +++ b/src/posts/a-favourite-proof-of-mine.md @@ -61,9 +61,15 @@ In each step we move the window by replacing the first slot in the window by wha What does this have to do with mathematics, and this beautiful proof that I have promised? We shall begin to translate this moving window into the language of mathematics, our window is a pair of numbers, so why not represent it as a vector. Furthermore, we may view sliding our window one step as a function $S$ from vectors to vectors. This poses an interesting question: is this function a linear transformation? $$ -S \left(\begin{bmatrix} a & b \end{bmatrix}\right) \\ -+ S\left(\begin{bmatrix} c & d \end{bmatrix}\right) \\ -= \begin{bmatrix} b a + b \end{bmatrix} \\ +S \left(\begin{bmatrix} a & b \end{bmatrix}\right) +$$ +$$ ++ S\left(\begin{bmatrix} c & d \end{bmatrix}\right) +$$ +$$ += \begin{bmatrix} b a + b \end{bmatrix} +$$ +$$ + \begin{bmatrix} d c + d \end{bmatrix} $$