Initial commit
This commit is contained in:
Zhongwei Li
12
.claude-plugin/plugin.json
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12
.claude-plugin/plugin.json
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{
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"name": "Typst",
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"description": "Typst文档编写SKILLS",
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"version": "0.0.0-2025.11.28",
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"author": {
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"name": "Dongdong Kong",
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"email": "kongdd.sysu@gmail.com"
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},
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"skills": [
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"./skills/typst-physica"
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]
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}
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52
plugin.lock.json
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52
plugin.lock.json
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{
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"$schema": "internal://schemas/plugin.lock.v1.json",
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"pluginId": "gh:kongdd/Skills_for_Your_AI_Student:typst",
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"normalized": {
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"repo": null,
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"ref": "refs/tags/v20251128.0",
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"commit": "65edb7727c62e1b505e7d22b5b9b3c0f7e1fa78d",
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"treeHash": "1011e000ccdd74ff53760c9de415719cbec5b2bca9b552608410d20458335269",
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"generatedAt": "2025-11-28T10:19:56.227560Z",
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"toolVersion": "publish_plugins.py@0.2.0"
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},
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"origin": {
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"remote": "git@github.com:zhongweili/42plugin-data.git",
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"branch": "master",
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"commit": "aa1497ed0949fd50e99e70d6324a29c5b34f9390",
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"repoRoot": "/Users/zhongweili/projects/openmind/42plugin-data"
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},
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"manifest": {
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"name": "Typst",
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"description": "Typst文档编写SKILLS"
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},
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"content": {
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"files": [
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{
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"path": "README.md",
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"sha256": "bc8f69a6f14ca2bdbda9d1ae10945b2d40ea6ebdbcc8fbb4be23e945fbb7d37b"
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},
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{
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"path": ".claude-plugin/plugin.json",
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"sha256": "57ed3996ea71bb92281480cf2089cb385ab53dc7203e55913e7f348936c177d6"
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},
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{
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"path": "skills/typst-physica/examples.typ",
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"sha256": "f29c070d485af884731333a127b9933966faee31d5682c9e77858b93a1822853"
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},
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{
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"path": "skills/typst-physica/example_physica.typ",
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"sha256": "a3aeff09aa965d57419261a9a3d9a206652c5b730c1f59afe7c6eb33a1b66bf9"
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},
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{
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"path": "skills/typst-physica/SKILL.md",
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"sha256": "16a786b033af36f7421bb12f4d9fffcc8cb2782d74c989709d201fe4fd418634"
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}
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],
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"dirSha256": "1011e000ccdd74ff53760c9de415719cbec5b2bca9b552608410d20458335269"
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},
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"security": {
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"scannedAt": null,
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"scannerVersion": null,
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"flags": []
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}
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}
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53
skills/typst-physica/SKILL.md
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53
skills/typst-physica/SKILL.md
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---
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name: typst-physica
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description: typst公式中的微分、偏微分方程编写，latex公式转typst。
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---
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# 引用包
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应在typst文档的开头，引用包。公式编写、文档排版，依赖`modern-cug-report`。
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用于如果已经引用了`modern-cug-report`，则无需再重复添加了。
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```typst
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#import "@local/modern-cug-report:0.1.3": *
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#show: doc => template(doc, footer: "CUG水文气象学2025", header: "")
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```
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# 偏微分方程
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- `(∂ theta) / (∂ t)`
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`\frac{\partial \theta}{\partial t}`采用typst编写会非常简单，`pdv(theta, t)`
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```typst
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(partial.diff theta) / (partial.diff t) // 是错误写法
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pdv(theta, t) // 正确写法
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```
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- `(d theta) / (d t)`则是：`dv(theta, t)`
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# text
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typst公式中的本文需要使用引号：
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```typst
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q_(infiltration) // 错误
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q_("infiltration") // 正确
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```
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# fraction
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- latex的`\frac{y}{x}`，写成typst则是`y/x`；
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若分子、分母有多个变量，则用括号括起来。例如latex的`\frac{y z}{x}`，写成typst则是`(y z) / x`
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# 排版
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- 一级标题之前空两行，凸显章节的层次感。
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- 第一个一级标题，不用空两行。
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40
skills/typst-physica/example_physica.typ
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40
skills/typst-physica/example_physica.typ
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// Copyright 2023 Leedehai
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// Use of this code is governed by a MIT license in the LICENSE.txt file.
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// For a manual on this package, see physica-manual.pdf.
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#import "@local/modern-cug-report:0.1.3": *
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#show: doc => template(doc, footer: "CUG水文气象学2025", header: "")
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// #import "physica.typ": *
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#show: super-T-as-transpose // Render "..^T" as transposed matrix
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$
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A^T, curl vb(E) = - pdv(vb(B), t),
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quad
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tensor(Lambda, +mu, -nu) = dmat(1, RR),
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quad
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f(x,y) dd(x, y),
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quad
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dd(vb(x), y, [3]),
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quad
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dd(x, y, 2, d: Delta, p: and),
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quad
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dv(phi, t, d: upright(D)) = pdv(phi, t) + vb(u) grad phi \
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H(f) = hmat(f; x, y; delim: "[", big: #true),
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quad
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vb(v^a) = sum_(i=1)^n alpha_i vu(u^i),
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quad
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Set((x, y), pdv(f, x, y, [2,1]) + pdv(f, x, y, [1,2]) < epsilon) \
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-1/c^2 pdv(, t, 2)psi + laplacian psi = (m^2c^2) / hbar^2 psi,
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quad
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ket(n^((1))) = sum_(k in.not D) mel(k^((0)), V, n^((0))) / (E_n^((0)) - E_k^((0))) ket(k^((0))),
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quad
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integral_V dd(V) (pdv(cal(L), phi) - partial_mu (pdv(cal(L), (partial_mu phi)))) = 0 \
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dd(s, 2) = -(1-(2G M)/r) dd(t, 2) + (1-(2G M)/r)^(-1) dd(r, 2) + r^2 dd(Omega, 2)
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$
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$
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"clk:" & signals("|1....|0....|1....|0....|1....|0....|1....|0..", step: #0.5em) \
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"bus:" & signals(" #.... X=... ..... ..... X=... ..... ..... X#.", step: #0.5em)
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$
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36
skills/typst-physica/examples.typ
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36
skills/typst-physica/examples.typ
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#import "@local/modern-cug-report:0.1.3": *
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#show: doc => template(doc, footer: "CUG水文气象学2025", header: "")
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== 1 Richards方程
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Richards方程：
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$ pdv(theta, t) = nabla dot [K(theta) nabla H] + S $
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其中：
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- $theta$：体积含水量 [L^3/L^3]
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- $t$：时间 [T]
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- $S$：源汇项 [1/T]
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总水头 $H$ 由基质势 $h$ 和重力势 $z$ 组成：
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$ H = h + z $
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== 2 质量守恒定律
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对于土壤控制体积，质量守恒方程为：
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$ pdv(rho theta, t) + nabla dot (rho q) = rho S $
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假设水密度 $rho$ 为常数，简化为：
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$ pdv(theta, t) + nabla dot q = S $
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== 3 上边界层条件
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上边界通常受大气条件控制，主要包括：
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*降雨入渗条件：*
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$ -K(theta) pdv(H, z) |_(z=0) = q_("infiltration") $
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*蒸发条件：*
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$ -K(theta) pdv(H, z) |_(z=0) = q_("evaporation") $
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