From a1b5de688d879069b5e1192057d71572c7bc5368 Mon Sep 17 00:00:00 2001 From: Justin Gassner Date: Thu, 29 Feb 2024 17:32:24 +0100 Subject: Update --- pages/complex-analysis/one-complex-variable/cauchys-theorem.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) (limited to 'pages/complex-analysis/one-complex-variable/cauchys-theorem.md') diff --git a/pages/complex-analysis/one-complex-variable/cauchys-theorem.md b/pages/complex-analysis/one-complex-variable/cauchys-theorem.md index 6d78e89..eb040ca 100644 --- a/pages/complex-analysis/one-complex-variable/cauchys-theorem.md +++ b/pages/complex-analysis/one-complex-variable/cauchys-theorem.md @@ -7,7 +7,7 @@ nav_order: 2 # {{ page.title }} -{% theorem Cauchy's Theorem (Homotopy Version) %} +{% theorem Cauchy’s Theorem (Homotopy Version) %} Let $G$ be a connected open subset of the complex plane. Let $f : G \to \CC$ be a holomorphic function. If $\gamma_0$, $\gamma_1$ are homotopic closed curves in $G$, then @@ -29,7 +29,7 @@ $$ {{ page.title }} has a converse: -{% theorem * Morera's Theorem %} +{% theorem * Morera’s Theorem %} Let $G \subset \CC$ be open and let $f : G \to \CC$ be a continuous function. If $\int_{\gamma} f(z) \, dz = 0$ for every contour $\gamma$ contained in $G$, then $f$ is holomorphic in $G$. -- cgit v1.2.3-70-g09d2