From 540d23bff03bedbc8f68287d71c8b5e7dc54b054 Mon Sep 17 00:00:00 2001
From: Prefetch
Date: Mon, 8 Mar 2021 15:04:06 +0100
Subject: Expand knowledge base

---
 content/know/concept/holomorphic-function/index.pdc | 6 +++---
 1 file changed, 3 insertions(+), 3 deletions(-)

(limited to 'content/know/concept/holomorphic-function/index.pdc')

diff --git a/content/know/concept/holomorphic-function/index.pdc b/content/know/concept/holomorphic-function/index.pdc
index 3e7a91e..1077060 100644
--- a/content/know/concept/holomorphic-function/index.pdc
+++ b/content/know/concept/holomorphic-function/index.pdc
@@ -196,7 +196,7 @@ $$\begin{aligned}
 \end{aligned}$$
 
 **Cauchy's residue theorem** generalizes Cauchy's integral theorem
-to meromorphic functions, and states that the integral of a contour $C$,
+to meromorphic functions, and states that the integral of a contour $C$
 depends on the simple poles $p$ it encloses:
 
 $$\begin{aligned}
@@ -206,7 +206,7 @@ $$\begin{aligned}
 \end{aligned}$$
 
 *__Proof__*. *From the definition of a meromorphic function,
-we know that we can decompose $f(z)$ as follows,
+we know that we can decompose $f(z)$ like so,
 where $h(z)$ is holomorphic and $p$ are all its poles:*
 
 $$\begin{aligned}
@@ -228,5 +228,5 @@ This theorem might not seem very useful,
 but in fact, thanks to some clever mathematical magic,
 it allows us to evaluate many integrals along the real axis,
 most notably [Fourier transforms](/know/concept/fourier-transform/).
-It can also be used to derive the Kramers-Kronig relations.
+It can also be used to derive the [Kramers-Kronig relations](/know/concept/kramers-kronig-relations).
 
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