From 01ba01763b81a838dcbac4c08243804e068495b9 Mon Sep 17 00:00:00 2001 From: Preston Pan Date: Fri, 31 May 2024 15:05:34 -0700 Subject: [PATCH] add many things; remove useless files --- journal/20240530.org | 21 ++++++++++++++++++ journal/20240531.org | 11 ++++++++++ mindmap/Kirchhoff's Laws.org | 35 ++++++++++++++++++++++++++++++ mindmap/differential equation.org | 26 ++++++++++++++++++++++ mindmap/lrc_circuit_source.png | Bin 0 -> 3271 bytes 5 files changed, 93 insertions(+) create mode 100644 journal/20240530.org create mode 100644 journal/20240531.org create mode 100644 mindmap/Kirchhoff's Laws.org create mode 100644 mindmap/differential equation.org create mode 100644 mindmap/lrc_circuit_source.png 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: +#+html_head: +#+html_head: +#+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: +#+html_head: +#+html_head: +#+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: +#+html_head: +#+html_head: +#+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: +#+html_head: +#+html_head: +#+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 0000000000000000000000000000000000000000..efaca54c386e609e7eaa06b6bcb54fe1a877f443 GIT binary patch literal 3271 zcmeAS@N?(olHy`uVBq!ia0y~yV4T3fz-Z6G!oa|A=ud170|SFXvPY0F14ES>14Ba# z1H&%{28M3QFd zlnGh)-96%WtF5JX;oT*knL&qCRW1avu#|R}-Bc1N*?QXh2Xh6ZlamL>mgr2u1zrJ) zF05;Iak%Uhi4wV`7BJN;bM`XDdunTETXB9=Et84o*S9LIUAZqS{>>jh)AP?m&wY&e zckamfImLCxauI7BgbQ?Qx4xCLbDsM2-pQ&sZ}w`IJ_uTd8FBN_1yP88plhL(H zp zJSA~=PJ(p*hR)A_gctK{YF$2aNq4P{tNLomXAiHGhgT(cg=8$B{#tTjvwKBf@SNl> z?H?S|U!?b0u1hw5oU@qY%_FaQDN}^BPtJHIBL6J&oUxPs;hdD7uRTTwihC}&wu*iG zB+e%JNNS!x*lj1mZtXZAbxYzQ)8r`;?h};)o{1!zFixKH$k9k)@fp^*B@PoK^$Pl! zHqS|z)x+iMFtNvSS0<}hichhu@SCUpA+{$k&GzjS)8YwMOg625s&tpDf)LV$luvvu()QWpUEsmEx8u z?i2RBcpSOliL}+{qYj@I`skkzNLl?~`R60eFuOf-!>n$cW!SvZ{i2iHh0hBPNJY(9 zb|_LUm|xj*{p9t{OEypYzPT~5Y~x%(v(I^HnW^?~W1j8J`Is?@eO}ViO^xS^oA|yJ zP1s!1a#`lt-z^35wKq`z~+M+!+^7Y49(TOJ2E$ zC1}Y3d5Qc9@oZW1-y6Bj^qnG^BK*2yTJM?#^QXp~<(Yh7ea4*BDQmuM+-^B}diDgS z*%ov6Gr#%2S@YT_O}@ej)-xXD*&PXcx2T=@&!qj!ob~EC80Xuw8N*OF4hY^)~RhX z{A@eEbQQf~%vzUVZ(Y&&zIcw#SA$F1p9D^%3=U_4ZsAWIJ_7uWq;B+U_Ycqe^D?%>Qh%p?B_|X@&0| z)LVq!H@qCPoJwTkooyfO@G7LzYb2A=2gqPsjEJ* zO}^lW%@p^Q;TwC>khSB6Imdu@dSd^Yl8qNF^7JCckR537yR=rquN;U2g&*hcJFRtcM z*;;0IqAcx)^z_VylY8txTI(&9^VT<>u;t!C^@_Il1_yW;d}Ge))=b=OIj_p(sprJm znVz;Tci%pi-t*V=+x-*uMX|3QzRJ@zUn-Yq*{|?2<}l;Flb_droa)^3F@H|7!q<)> zQSGT||E5-pJuNi0e*XWj%J*XH)+^4Z9D;T>7V_!eDsJ;HI{oL`-z}R>zfLfk5K>lH zaB|+_nz_+0*5&$s(%2o$ztV=)XnIwHRo1e}!l%EjOK)5Gb8T{tk8N7)*@;W#5_j&2 zS&|-d^Nz#n|JfNyB^T$V@f9fFPp+st&wA~`@swAAuT>UL_Ijl_?X{0?YIZi(r+2I`%saTxa@NbIMTc$FROflwwtQODx_(ny-RimPKORioe)Gt5DV08% z)0a&>lxHT);r$#P&a^+SZ1(m7v;Op_y+<7`ov=7H@8{Zd$%pnC(M7XkZKhTENP1}1 zr*MZ~{Z~8FTJys?*ZBL6(*4Wjg1nxm?K{)OdYk)t!L<*i>-=pOESOT&z;^9?+PC7A zI>ql-uQ%@c$yERB`%3mHjZ40=gnukNW^ww>pM9clp7Qa1+I;0OXMv>Q&euOQ&dzyK zsh06r%gpe|-t`}~c26>x@TDu~QSO?>GdbBTj=j9X3~m)c+C~`UspvNABxHZZUUO$VS#lXOz0k@$fGdH!kBr&%Dx1K$pYg`!^7=%H33R2Rn!cvQhGxPHp c0$kj54fRZe&7ux6FfcH9y85}Sb4q9e0H*d+<^TWy literal 0 HcmV?d00001 -- 2.50.1