From bd13537ee2fb704b02b961b5d06dd4f406f19a71 Mon Sep 17 00:00:00 2001
From: Prefetch
Date: Sat, 21 Oct 2023 14:21:59 +0200
Subject: Improve knowledge base

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

(limited to 'source/know/concept/boltzmann-equation/index.md')

diff --git a/source/know/concept/boltzmann-equation/index.md b/source/know/concept/boltzmann-equation/index.md
index 9cb3bcd..5f4add0 100644
--- a/source/know/concept/boltzmann-equation/index.md
+++ b/source/know/concept/boltzmann-equation/index.md
@@ -65,7 +65,7 @@ But what about the collision term?
 Expressions for it exist, which are almost exact in many cases,
 but unfortunately also quite difficult to work with.
 In addition, $$f$$ is a 7-dimensional function,
-so the BTE is already hard to solve without collisions.
+so the BTE is already hard to solve without collisions!
 We only present the simplest case,
 known as the **Bhatnagar-Gross-Krook approximation**:
 if the equilibrium state $$f_0(\vb{r}, \vb{v})$$ is known,
@@ -314,7 +314,7 @@ For the sake of clarity, we write out the pressure term, including the outer div
 
 $$\begin{aligned}
     \nabla \cdot (\vb{V} \cdot \hat{P})
-    &= (\nabla \cdot \hat{P}{}^{\mathrm{T}}) \cdot \vb{V}
+    &= (\nabla \cdot \hat{P}{}^\top) \cdot \vb{V}
     = \nabla \cdot
     \begin{bmatrix}
         P_{xx} & P_{xy} & P_{xz} \\
-- 
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