From 16555851b6514a736c5c9d8e73de7da7fc9b6288 Mon Sep 17 00:00:00 2001
From: Prefetch
Date: Thu, 20 Oct 2022 18:25:31 +0200
Subject: Migrate from 'jekyll-katex' to 'kramdown-math-sskatex'

---
 source/know/concept/hermite-polynomials/index.md | 20 ++++++++++----------
 1 file changed, 10 insertions(+), 10 deletions(-)

(limited to 'source/know/concept/hermite-polynomials')

diff --git a/source/know/concept/hermite-polynomials/index.md b/source/know/concept/hermite-polynomials/index.md
index ce34030..2eb8e06 100644
--- a/source/know/concept/hermite-polynomials/index.md
+++ b/source/know/concept/hermite-polynomials/index.md
@@ -15,10 +15,10 @@ although slightly different definitions are used in those fields.
 
 ## Physicists' definition
 
-The **Hermite equation** is an eigenvalue problem for $n$,
-and the Hermite polynomials $H_n(x)$ are its eigenfunctions $u(x)$,
-subject to the boundary condition that $u$ grows at most polynomially,
-in which case the eigenvalues $n$ are non-negative integers:
+The **Hermite equation** is an eigenvalue problem for $$n$$,
+and the Hermite polynomials $$H_n(x)$$ are its eigenfunctions $$u(x)$$,
+subject to the boundary condition that $$u$$ grows at most polynomially,
+in which case the eigenvalues $$n$$ are non-negative integers:
 
 $$\begin{aligned}
     \boxed{
@@ -26,7 +26,7 @@ $$\begin{aligned}
     }
 \end{aligned}$$
 
-The $n$th-order Hermite polynomial $H_n(x)$
+The $$n$$th-order Hermite polynomial $$H_n(x)$$
 is therefore as follows, according to physicists:
 
 $$\begin{aligned}
@@ -51,7 +51,7 @@ $$\begin{gathered}
     H_4(x) = 16 x^4 - 48 x^2 + 12
 \end{gathered}$$
 
-And then more $H_n$ can be computed quickly
+And then more $$H_n$$ can be computed quickly
 using the following recurrence relation:
 
 $$\begin{aligned}
@@ -70,7 +70,7 @@ $$\begin{aligned}
     }
 \end{aligned}$$
 
-Importantly, all $H_n$ are orthogonal with respect to the weight function $w(x) \equiv \exp(- x^2)$:
+Importantly, all $$H_n$$ are orthogonal with respect to the weight function $$w(x) \equiv \exp(- x^2)$$:
 
 $$\begin{aligned}
     \boxed{
@@ -80,10 +80,10 @@ $$\begin{aligned}
     }
 \end{aligned}$$
 
-Where $\delta_{nm}$ is the Kronecker delta.
+Where $$\delta_{nm}$$ is the Kronecker delta.
 Finally, they form a basis in the [Hilbert space](/know/concept/hilbert-space/)
-of all functions $f(x)$ for which $\Inprod{f}{w f}$ is finite.
-This means that every such $f$ can be expanded in $H_n$:
+of all functions $$f(x)$$ for which $$\Inprod{f}{w f}$$ is finite.
+This means that every such $$f$$ can be expanded in $$H_n$$:
 
 $$\begin{aligned}
     \boxed{
-- 
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