diff options
author | Prefetch | 2023-01-19 21:28:23 +0100 |
---|---|---|
committer | Prefetch | 2023-01-19 21:28:23 +0100 |
commit | 7a2346d3ee81c7c852de85527de056fe0b39aad8 (patch) | |
tree | d797e33d10841d61085a7b754ad2d115b28e0664 /source/know/concept/sturm-liouville-theory/index.md | |
parent | 5fc2fd763b07b735c2895f9375c2dfa6c43fe86a (diff) |
More improvements to knowledge base
Diffstat (limited to 'source/know/concept/sturm-liouville-theory/index.md')
-rw-r--r-- | source/know/concept/sturm-liouville-theory/index.md | 4 |
1 files changed, 2 insertions, 2 deletions
diff --git a/source/know/concept/sturm-liouville-theory/index.md b/source/know/concept/sturm-liouville-theory/index.md index 75daae3..0ac7476 100644 --- a/source/know/concept/sturm-liouville-theory/index.md +++ b/source/know/concept/sturm-liouville-theory/index.md @@ -22,7 +22,7 @@ of eigenfunctions. Consider the most general form of a second-order linear differential operator $$\hat{L}$$, where $$p_0(x)$$, $$p_1(x)$$, and $$p_2(x)$$ -are real functions of $$x \in [a,b]$$ which are non-zero for all $$x \in ]a, b[$$: +are real functions of $$x \in [a,b]$$ which are nonzero for all $$x \in ]a, b[$$: $$\begin{aligned} \hat{L} \{u(x)\} = p_0(x) u''(x) + p_1(x) u'(x) + p_2(x) u(x) @@ -142,7 +142,7 @@ So even if $$p_0' \neq p_1$$, any second-order linear operator with $$p_0(x) \ne can easily be put in self-adjoint form. This general form is known as the **Sturm-Liouville operator** $$\hat{L}_{SL}$$, -where $$p(x)$$ and $$q(x)$$ are non-zero real functions of the variable $$x \in [a,b]$$: +where $$p(x)$$ and $$q(x)$$ are nonzero real functions of the variable $$x \in [a,b]$$: $$\begin{aligned} \boxed{ |