From 6e70f28ccbd5afc1506f71f013278a9d157ef03a Mon Sep 17 00:00:00 2001
From: Prefetch
Date: Thu, 27 Oct 2022 20:40:09 +0200
Subject: Optimize last images, add proof template, improve CSS

---
 source/know/concept/guiding-center-theory/index.md | 22 ++++++++--------------
 1 file changed, 8 insertions(+), 14 deletions(-)

(limited to 'source/know/concept/guiding-center-theory')

diff --git a/source/know/concept/guiding-center-theory/index.md b/source/know/concept/guiding-center-theory/index.md
index 5368966..412c88b 100644
--- a/source/know/concept/guiding-center-theory/index.md
+++ b/source/know/concept/guiding-center-theory/index.md
@@ -72,6 +72,7 @@ we can use this average to approximately remove the finer dynamics,
 and focus only on the guiding center.
 
 
+
 ## Uniform electric and magnetic field
 
 Consider the case where $$\vb{E}$$ and $$\vb{B}$$ are both uniform,
@@ -149,6 +150,7 @@ $$\begin{aligned}
 \end{aligned}$$
 
 
+
 ## Non-uniform magnetic field
 
 Next, consider a more general case, where $$\vb{B}$$ is non-uniform,
@@ -193,11 +195,8 @@ $$\begin{aligned}
     \approx - \frac{u_L^2}{2 \omega_c} \nabla B
 \end{aligned}$$
 
-<div class="accordion">
-<input type="checkbox" id="proof-nonuniform-B-averages"/>
-<label for="proof-nonuniform-B-averages">Proof</label>
-<div class="hidden" markdown="1">
-<label for="proof-nonuniform-B-averages">Proof.</label>
+
+{% include proof/start.html id="proof-averages" -%}
 We know what $$\vb{x}_L$$ is,
 so we can write out $$(\vb{x}_L \cdot \nabla) \vb{B}$$
 for $$\vb{B} = (B_x, B_y, B_z)$$:
@@ -290,9 +289,8 @@ $$\begin{aligned}
     \end{pmatrix}
     = - \frac{u_L^2}{2 \omega_c} \nabla B
 \end{aligned}$$
+{% include proof/end.html id="proof-averages" %}
 
-</div>
-</div>
 
 With this, the guiding center's equation of motion
 is reduced to the following:
@@ -332,11 +330,8 @@ $$\begin{aligned}
     \approx - u_{gc\parallel} \frac{\vb{R}_c}{R_c^2}
 \end{aligned}$$
 
-<div class="accordion">
-<input type="checkbox" id="proof-nonuniform-B-curvature"/>
-<label for="proof-nonuniform-B-curvature">Proof</label>
-<div class="hidden" markdown="1">
-<label for="proof-nonuniform-B-curvature">Proof.</label>
+
+{% include proof/start.html id="proof-curvature" -%}
 Assuming that $$\vu{b}$$ does not explicitly depend on time,
 i.e. $$\ipdv{\vu{b}}{t} = 0$$,
 we can rewrite the derivative using the chain rule:
@@ -381,9 +376,8 @@ $$\begin{aligned}
     = - \frac{\vu{R}_c}{R_c}
     = - \frac{\vb{R}_c}{R_c^2}
 \end{aligned}$$
+{% include proof/end.html id="proof-curvature" %}
 
-</div>
-</div>
 
 With this, we arrive at the following equation of motion
 for the guiding center:
-- 
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