From 61b5ce20f25c5785e41574998a12c6d06eb05a5e Mon Sep 17 00:00:00 2001
From: Thomas Albers <thomas@thomaslabs.org>
Date: Wed, 8 Mar 2023 23:43:00 +0100
Subject: Restructure build system and directory structures

---
 math/cylindrical_coordinates.org | 37 -------------------------------------
 1 file changed, 37 deletions(-)
 delete mode 100644 math/cylindrical_coordinates.org

(limited to 'math/cylindrical_coordinates.org')

diff --git a/math/cylindrical_coordinates.org b/math/cylindrical_coordinates.org
deleted file mode 100644
index fab185b..0000000
--- a/math/cylindrical_coordinates.org
+++ /dev/null
@@ -1,37 +0,0 @@
-#+TITLE:Cylindrical Coordinates
-#+SETUPFILE: ../math_options.org
-#+LATEX_HEADER: \usepackage{bm}
-#+LATEX_HEADER: \usepackage{mathtools}
-#+LATEX_HEADER: \newcommand{\deriv}[2]{\frac{\text{d}#1}{\text{d}#2}}
-#+LATEX_HEADER: \newcommand{\unitv}[1]{\bm{\hat{e}}_#1}
-
-* Disclaimer
-This site as of now just a technology demonstration and its claims
-should not be taken as true (even though I myself am pretty confident
-they are)
-* Coordinate transformations
-\begin{align*}
-x &= r \cos\varphi\\
-y &= r \sin\varphi\\
-z &= z
-\end{align*}
-
-* Local unit vectors
-\begin{align*}
-\unitv{r} &= \cos\theta \unitv{x} + \sin\theta \unitv{y}\\
-\unitv{\theta} &= -\sin\theta \unitv{x} + \cos\theta \unitv{y}\\
-\unitv{z} &= \unitv{z}
-\end{align*}
-* Kinematic in cylindrical coordinates
-** Time derivatives of the local unit vectors
-\begin{align*}
-\deriv{\unitv{r}}{t} &= \dot{\theta}\unitv{\theta}\\
-\deriv{\unitv{\theta}}{t} &= -\dot{\theta}\unitv{r}\\
-\deriv{\unitv{z}}{t} &= 0
-\end{align*}
-** Position vector and its time derivatives
-\begin{align*}
-\bm{r} &= r\unitv{r} + z\unitv{z}\\
-\bm{v} &= \dot{r}\unitv{r} + r\dot\theta\unitv{\theta} + \dot{z}\unitv{z}\\
-\bm{a} &= \left(\ddot{r}-r\dot{\theta}^2\right)\unitv{r} + \left(2\dot{r}\dot{\theta}+r\ddot{\theta}\right)\unitv{\theta} + \ddot{z}\unitv{z}
-\end{align*}
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