From 5cacf4ffaf3a9621ab536195f6469f98a420f054 Mon Sep 17 00:00:00 2001
From: Prefetch
Date: Sat, 5 Sep 2026 21:55:33 +0200
Subject: Improve knowledge base

---
 source/know/concept/sokhotski-plemelj-theorem/index.md | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

(limited to 'source/know/concept/sokhotski-plemelj-theorem/index.md')

diff --git a/source/know/concept/sokhotski-plemelj-theorem/index.md b/source/know/concept/sokhotski-plemelj-theorem/index.md
index 445b029..e139954 100644
--- a/source/know/concept/sokhotski-plemelj-theorem/index.md
+++ b/source/know/concept/sokhotski-plemelj-theorem/index.md
@@ -10,7 +10,7 @@ layout: "concept"
 ---
 
 The goal is to evaluate integrals of the following form,
-where $$f(x)$$ is assumed to be continuous in the integration interval $$[a, b]$$:
+where $$f(x)$$ is real and continuous in the integration interval $$[a, b]$$:
 
 $$\begin{aligned}
     \lim_{\eta \to 0^+} \int_a^b \frac{f(x)}{x + i \eta} \dd{x}
@@ -56,7 +56,7 @@ $$\begin{aligned}
     &= \lim_{m \to +\infty} \frac{\pi}{\pi} \int_a^b \frac{m}{1 + m^2 x^2} f(x) \dd{x}
 \end{aligned}$$
 
-The expression $$m / \pi (1 + m^2 x^2)$$ is a so-called *nascent delta function*,
+The expression $$m / (\pi (1 + m^2 x^2))$$ is a so-called *nascent delta function*,
 meaning that in the limit $$m \to +\infty$$ it converges to
 the [Dirac delta function](/know/concept/dirac-delta-function/) $$\delta(x)$$:
 
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