From 28407333ffceca9b99fae721c30e8ae146a863da Mon Sep 17 00:00:00 2001
From: Justin Gassner <justin.gassner@mailbox.org>
Date: Wed, 14 Feb 2024 07:24:38 +0100
Subject: Update

---
 .../the-calculus-of-residues.md                    | 36 ++++++++--------------
 1 file changed, 13 insertions(+), 23 deletions(-)

(limited to 'pages/complex-analysis/one-complex-variable/the-calculus-of-residues.md')

diff --git a/pages/complex-analysis/one-complex-variable/the-calculus-of-residues.md b/pages/complex-analysis/one-complex-variable/the-calculus-of-residues.md
index b49cdf4..a2fa53d 100644
--- a/pages/complex-analysis/one-complex-variable/the-calculus-of-residues.md
+++ b/pages/complex-analysis/one-complex-variable/the-calculus-of-residues.md
@@ -3,16 +3,13 @@ title: The Calculus of Residues
 parent: One Complex Variable
 grand_parent: Complex Analysis
 nav_order: 4
-# cspell:words
-#published: false
 ---
 
 # {{ page.title }}
 
-{: .definition-title }
-> Definition (Residue)
->
-> TODO
+{% definition Residue %}
+TODO
+{% enddefinition %}
 
 Calculation of Residues
 
@@ -32,24 +29,17 @@ $$
 \Res(f,c) = \frac{g(c)}{h'(c)}
 $$
 
+{% theorem * Residue Theorem (Basic Version) %}
+Let $f$ be a function meromorphic in an open subset $G \subset \CC$.
+Let $\gamma$ be a contour in $G$ such that
+the interior of $\gamma$ is contained in $G$
+and contains finitely many poles $c_1, \ldots, c_n$ of $f$.
+Then
 
-
-
-{: .theorem-title }
-> Residue Theorem (Basic Version)
-> {: #residue-theorem-basic-version }
->
-> Let $f$ be a function meromorphic in an open subset $G \subset \CC$.
-> Let $\gamma$ be a contour in $G$ such that
-> the interior of $\gamma$ is contained in $G$
-> and contains finitely many poles $c_1, \ldots, c_n$ of $f$.
-> Then
->
-> 
-> $$
-> \int_{\gamma} f(z) \, dz = 2 \pi i \sum_{k=1}^n \Res(f,c_k)
-> $$
-> {: .katex-display .mb-0 }
+$$
+\int_{\gamma} f(z) \, dz = 2 \pi i \sum_{k=1}^n \Res(f,c_k)
+$$
+{% endtheorem %}
 
 {% proof %}
 {% endproof %}
-- 
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