aboutsummaryrefslogtreecommitdiff
diff options
context:
space:
mode:
authorPreston Pan <preston@nullring.xyz>2024-05-31 15:05:34 -0700
committerPreston Pan <preston@nullring.xyz>2024-05-31 15:05:34 -0700
commit01ba01763b81a838dcbac4c08243804e068495b9 (patch)
treecf0de71e04334c0cf62abe3228a8483f9692389b
parentc35d434272e09256030cb113ec62b72c3dbae84f (diff)
add many things; remove useless files
-rw-r--r--journal/20240530.org21
-rw-r--r--journal/20240531.org11
-rw-r--r--mindmap/Kirchhoff's Laws.org35
-rw-r--r--mindmap/differential equation.org26
-rw-r--r--mindmap/lrc_circuit_source.pngbin0 -> 3271 bytes
5 files changed, 93 insertions, 0 deletions
diff --git a/journal/20240530.org b/journal/20240530.org
new file mode 100644
index 0000000..cf5e2da
--- /dev/null
+++ b/journal/20240530.org
@@ -0,0 +1,21 @@
+#+TITLE: Daily Journal
+#+STARTUP: showeverything
+#+DESCRIPTION: My daily journal entry
+#+AUTHOR: Preston Pan
+#+HTML_HEAD: <link rel="stylesheet" type="text/css" href="../style.css" />
+#+html_head: <script src="https://polyfill.io/v3/polyfill.min.js?features=es6"></script>
+#+html_head: <script id="MathJax-script" async src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js"></script>
+#+options: broken-links:t
+* Thursday, 30 May 2024
+** 00:49
+I am currently trying to optimize my emacs workflow more, as I realize that my NixOS configuration is quite complete.
+After Kanata is added, my NixOS configuration covers almost every usecase; on the other hand, there are many small annoyances
+within emacs that are persistent, such as the lack of RSS feeds, the lack of good snippets for LaTeX editing, the lack
+of grammar checking and spell checking, and the lack of consistent autocomplete and the awkwardness of how new buffers
+open in panes. Additionally, mu4e is not configured for my email account.
+
+I will then use this emacs configuration to edit my mindmap more in tandem with the configuring. I've already added many new
+articles.
+** 16:59
+I successfully improved my emacs configuration by a lot, and I'm going to keep on making the editing much more
+streamlined.
diff --git a/journal/20240531.org b/journal/20240531.org
new file mode 100644
index 0000000..1994806
--- /dev/null
+++ b/journal/20240531.org
@@ -0,0 +1,11 @@
+#+TITLE: Daily Journal
+#+STARTUP: showeverything
+#+DESCRIPTION: My daily journal entry
+#+AUTHOR: Preston Pan
+#+HTML_HEAD: <link rel="stylesheet" type="text/css" href="../style.css" />
+#+html_head: <script src="https://polyfill.io/v3/polyfill.min.js?features=es6"></script>
+#+html_head: <script id="MathJax-script" async src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js"></script>
+#+options: broken-links:t
+* Friday, 31 May 2024
+** 03:42
+I can't sleep. This is quite painful.
diff --git a/mindmap/Kirchhoff's Laws.org b/mindmap/Kirchhoff's Laws.org
new file mode 100644
index 0000000..be20a41
--- /dev/null
+++ b/mindmap/Kirchhoff's Laws.org
@@ -0,0 +1,35 @@
+:PROPERTIES:
+:ID: 1d586d6b-bd97-4c59-ad57-8894ae4ac8ba
+:END:
+#+title: Kirchhoff's Laws
+#+author: Preston Pan
+#+html_head: <link rel="stylesheet" type="text/css" href="../style.css" />
+#+html_head: <script src="https://polyfill.io/v3/polyfill.min.js?features=es6"></script>
+#+html_head: <script id="MathJax-script" async src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js"></script>
+#+options: broken-links:t
+
+* Introduction
+Kirchhoff's Laws, along with Ohm's law, create the axioms of circuit analysis. The two laws are the Kirchhoff Voltage Law
+(KVL) and Kirchhoff's Current Law (KCL). They can be derived from an approximation of [[id:fde2f257-fa2e-469a-bc20-4d11714a515e][Maxwell's Equations]].
+** KCL
+:PROPERTIES:
+:ID: 9f7e61fa-a6ed-4d9b-8cdf-7f4ffdd80f06
+:END:
+Due to the [[id:a871e62c-b4a0-4674-9dea-d377de2f780b][continuity equation]] for electrodynamics, current is always conserved locally. In an ideal one-dimensional
+wire, the surface integral can be reduced to a simple line integral, given the current only moves in one direction
+(which we will assume for circuits).
+\begin{align}
+\int I \cdot d\vec{l} = -\frac{\partial Q_{enc}}{\partial t}
+\end{align}
+If the total amount of charge in the wires are conserved:
+\begin{align}
+\label{}
+\int \vec{I} \cdot d\vec{l} = 0
+\end{align}
+Therefore:
+\begin{align}
+\label{}
+\sum_{n}I_{n} = 0
+\end{align}
+where the total current $\vec{I}$ can be decomposed into many currents of each branched path $I_{n}$.
+** KVL
diff --git a/mindmap/differential equation.org b/mindmap/differential equation.org
new file mode 100644
index 0000000..8229587
--- /dev/null
+++ b/mindmap/differential equation.org
@@ -0,0 +1,26 @@
+:PROPERTIES:
+:ID: 4be41e2e-52b9-4cd1-ac4c-7ecb57106692
+:END:
+#+title: differential equation
+#+author: Preston Pan
+#+html_head: <link rel="stylesheet" type="text/css" href="../style.css" />
+#+html_head: <script src="https://polyfill.io/v3/polyfill.min.js?features=es6"></script>
+#+html_head: <script id="MathJax-script" async src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js"></script>
+#+options: broken-links:t
+* Introduction
+A differential equation is an equation whose solutions are functions and which incorporate derivatives of the function
+you're solving for. Differential equations often have a family of infinite solutions, where a general solution for
+a differential equation incorporates many particular solutions. Particular solutions to differential equations are specific
+functions, corresponding to a single choice of an initial value problem. Therefore, general solutions tell you how to solve
+initial value problems.
+
+Differential equations are often used to model real world systems, and are the main tool in numerical simulations of said
+systems.
+** ODE
+An ODE is a differential equation involving single variable function solution classes and their derivatives.
+** PDE
+A PDE is a differential equation involving multivariable function solution classes and generally involve partial derivatives
+of the unknown function.
+** initial value problem
+An initial value problem is a problem where one is given a differential equation and particular values of the unknown function
+and particular values of its derivatives, and the result is a particular solution.
diff --git a/mindmap/lrc_circuit_source.png b/mindmap/lrc_circuit_source.png
new file mode 100644
index 0000000..efaca54
--- /dev/null
+++ b/mindmap/lrc_circuit_source.png
Binary files differ