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Diffstat (limited to 'source/know/concept/sturm-liouville-theory/index.md')
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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{ |