💄 Support render math formula by mathjax & katex framework. close #27
This commit is contained in:
凡梦星尘
parent
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commit
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@ -3,7 +3,6 @@
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@import 'utterances';
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@import 'search';
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@import 'related-posts';
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@import 'math';
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@import 'gitter';
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@import 'livere';
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@import 'waline';
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@ -1,9 +0,0 @@
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@if $math_mathjax_enable {
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mjx-container[jax='CHTML'][display='true'], .has-jax {
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overflow: auto hidden;
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}
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mjx-container[display='true'] + br {
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display: none;
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}
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}
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@ -112,7 +112,6 @@ $reading_progress_position : {{ $P.readingProgress.position }};
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$reading_progress_reversed : {{ $P.readingProgress.reversed }};
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// Thirdparty
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$math_mathjax_enable : {{ $P.math.mathjax.enable }};
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// TODO
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//$related_posts_enable : {{ $P.relatedPosts.enable }};
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$related_posts_enable : false;
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@ -82,3 +82,24 @@ instant:
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name: instantsearch.js
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version: 4.40.5
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file: dist/instantsearch.production.min.js
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plugins:
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mathjax:
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js:
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- name: mathjax
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version: 3.2.0
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file: es5/tex-mml-chtml.js
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katex:
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js:
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- name: katex
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version: 0.16.0
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file: dist/katex.min.js
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- name: auto-render
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alias: katex
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version: 0.16.0
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file: dist/contrib/auto-render.min.js
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css:
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- name: katex
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version: 0.16.0
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file: dist/katex.min.css
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@ -700,27 +700,11 @@ params:
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# Third Party Plugins & Services Settings
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# ---------------------------------------------------------------
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# TODO
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# 数学公式渲染支持（暂时未实现）
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# Math Formulas Render Support
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# Warning: Please install / uninstall the relevant renderer according to the documentation.
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# See: https://theme-next.js.org/docs/third-party-services/math-equations
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# Server-side plugin: https://github.com/next-theme/hexo-filter-mathjax
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math:
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# Default (false) will load mathjax / katex script on demand.
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# That is it only render those page which has `mathjax: true` in front-matter.
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# If you set it to true, it will load mathjax / katex script EVERY PAGE.
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every_page: false
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mathjax:
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enable: false
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# Available values: none | ams | all
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tags: none
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katex:
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enable: false
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# See: https://github.com/KaTeX/KaTeX/tree/master/contrib/copy-tex
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copy_tex: false
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# 数学公式渲染支持，可选值： mathjax, katex
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# 注意这里全局配置，意味着所有页面都会加载数学公式脚本
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# Math Formulas Render Support, options: mathjax, katex
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# Warning: It's global settings then will load scripts in every page.
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#math: mathjax
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# TODO
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# FancyBox is a tool that offers a nice and elegant way
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227
exampleSite/content/post/math-formula.md
Normal file
227
exampleSite/content/post/math-formula.md
Normal file
@ -0,0 +1,227 @@
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---
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title: "数学公式渲染"
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description: "主题支持mathjs和katex两种不同插件的数学公式渲染方案。"
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keywords: "math,formula"
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date: 2022-09-11T10:16:02+08:00
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lastmod: 2022-09-11T10:16:02+08:00
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categories:
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- 示例
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tags:
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- 数学公式
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- mathjax
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- katex
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url: "post/math-formula.html"
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math: mathjax
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---
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本主题支持 `mathjax` 和 `katex` 两种不的方案支持数学公式的渲染，可根据自已的需求进行选择。
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<!--more-->
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接下的示例中，将使用 [MathJax](https://www.mathjax.org/) 方案来展示渲染效果。
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{{< note info >}}
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- 使用 `hugo new` 命令创建一篇新的文章
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- 可以全局启用数据公式渲染，请在项目配置参数 `math: katex` 或 `math: mathjax`
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- 或是将该参数配置到需要显示数学公式的页面头部（减少不必要的加载消耗）
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{{< /note >}}
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**注意：** 使用[支持的TeX功能](https://docs.mathjax.org/en/latest/input/tex/index.html)的联机参考资料。
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### 例子
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## 重复的分数
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$$
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\frac{1}{\Bigl(\sqrt{\phi \sqrt{5}}-\phi\Bigr) e^{\frac25 \pi}} \equiv 1+\frac{e^{-2\pi}} {1+\frac{e^{-4\pi}} {1+\frac{e^{-6\pi}} {1+\frac{e^{-8\pi}} {1+\cdots} } } }
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$$
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## 总和记号
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$$
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\left( \sum_{k=1}^n a_k b_k \right)^2 \leq \left( \sum_{k=1}^n a_k^2 \right) \left( \sum_{k=1}^n b_k^2 \right)
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$$
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## 几何级数之和
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我把接下来的两个例子分成了几行，这样它在手机上表现得更好。这就是为什么它们包含 `\displaystyle`。
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$$
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\displaystyle\sum_{i=1}^{k+1}i
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$$
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$$
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\displaystyle= \left(\sum_{i=1}^{k}i\right) +(k+1)
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$$
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$$
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\displaystyle= \frac{k(k+1)}{2}+k+1
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$$
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$$
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\displaystyle= \frac{k(k+1)+2(k+1)}{2}
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$$
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$$
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\displaystyle= \frac{(k+1)(k+2)}{2}
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$$
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$$
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\displaystyle= \frac{(k+1)((k+1)+1)}{2}
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$$
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## 乘记号
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$$
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\displaystyle 1 + \frac{q^2}{(1-q)}+\frac{q^6}{(1-q)(1-q^2)}+\cdots = \displaystyle \prod_{j=0}^{\infty}\frac{1}{(1-q^{5j+2})(1-q^{5j+3})}, \displaystyle\text{ for }\lvert q\rvert < 1.
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$$
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## 随文数式
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这是一些线性数学: $$ k_{n+1} = n^2 + k_n^2 - k_{n-1} $$ ， 然后是更多的文本。
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## 希腊字母
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$$
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\Gamma\ \Delta\ \Theta\ \Lambda\ \Xi\ \Pi\ \Sigma\ \Upsilon\ \Phi\ \Psi\ \Omega
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\alpha\ \beta\ \gamma\ \delta\ \epsilon\ \zeta\ \eta\ \theta\ \iota\ \kappa\ \lambda\ \mu\ \nu\ \xi \ \omicron\ \pi\ \rho\ \sigma\ \tau\ \upsilon\ \phi\ \chi\ \psi\ \omega\ \varepsilon\ \vartheta\ \varpi\ \varrho\ \varsigma\ \varphi
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$$
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## 箭头
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$$
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\gets\ \to\ \leftarrow\ \rightarrow\ \uparrow\ \Uparrow\ \downarrow\ \Downarrow\ \updownarrow\ \Updownarrow
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$$
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$$
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\Leftarrow\ \Rightarrow\ \leftrightarrow\ \Leftrightarrow\ \mapsto\ \hookleftarrow
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\leftharpoonup\ \leftharpoondown\ \rightleftharpoons\ \longleftarrow\ \Longleftarrow\ \longrightarrow
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$$
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$$
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\Longrightarrow\ \longleftrightarrow\ \Longleftrightarrow\ \longmapsto\ \hookrightarrow\ \rightharpoonup
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$$
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$$
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\rightharpoondown\ \leadsto\ \nearrow\ \searrow\ \swarrow\ \nwarrow
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$$
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## 符号
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$$
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\surd\ \barwedge\ \veebar\ \odot\ \oplus\ \otimes\ \oslash\ \circledcirc\ \boxdot\ \bigtriangleup
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$$
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$$
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\bigtriangledown\ \dagger\ \diamond\ \star\ \triangleleft\ \triangleright\ \angle\ \infty\ \prime\ \triangle
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$$
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## 微积分学
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$$
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\int u \frac{dv}{dx}\,dx=uv-\int \frac{du}{dx}v\,dx
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$$
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$$
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f(x) = \int_{-\infty}^\infty \hat f(\xi)\,e^{2 \pi i \xi x}
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$$
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$$
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\oint \vec{F} \cdot d\vec{s}=0
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$$
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## 洛伦茨方程
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$$
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\begin{aligned} \dot{x} & = \sigma(y-x) \\\\ \dot{y} & = \rho x - y - xz \\\\ \dot{z} & = -\beta z + xy \end{aligned}
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$$
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## 交叉乘积
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这在KaTeX中是可行的，但在这种环境中馏分的分离不是很好。
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$$
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\mathbf{V}_1 \times \mathbf{V}_2 = \begin{vmatrix} \mathbf{i} & \mathbf{j} & \mathbf{k} \\\\ \frac{\partial X}{\partial u} & \frac{\partial Y}{\partial u} & 0 \\\\ \frac{\partial X}{\partial v} & \frac{\partial Y}{\partial v} & 0 \end{vmatrix}
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$$
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这里有一个解决方案:使用“mfrac”类(在MathJax情况下没有区别)的额外类使分数更小:
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$$
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\mathbf{V}_1 \times \mathbf{V}_2 = \begin{vmatrix} \mathbf{i} & \mathbf{j} & \mathbf{k} \\\\ \frac{\partial X}{\partial u} & \frac{\partial Y}{\partial u} & 0 \\\\ \frac{\partial X}{\partial v} & \frac{\partial Y}{\partial v} & 0 \end{vmatrix}
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$$
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## 强调
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$$
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\hat{x}\ \vec{x}\ \ddot{x}
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$$
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## 有弹性的括号
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$$
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\left(\frac{x^2}{y^3}\right)
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$$
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## 评估范围
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$$
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\left.\frac{x^3}{3}\right|_0^1
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$$
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## 诊断标准
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$$
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f(n) = \begin{cases} \frac{n}{2}, & \text{if } n\text{ is even} \\\\ 3n+1, & \text{if } n\text{ is odd} \end{cases}
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$$
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## 麦克斯韦方程组
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$$
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\begin{aligned} \nabla \times \vec{\mathbf{B}} -\, \frac1c\, \frac{\partial\vec{\mathbf{E}}}{\partial t} & = \frac{4\pi}{c}\vec{\mathbf{j}} \\\\ \nabla \cdot \vec{\mathbf{E}} & = 4 \pi \rho \\\\ \nabla \times \vec{\mathbf{E}}\, +\, \frac1c\, \frac{\partial\vec{\mathbf{B}}}{\partial t} & = \vec{\mathbf{0}} \\\\ \nabla \cdot \vec{\mathbf{B}} & = 0 \end{aligned}
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$$
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## 统计学
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固定词组：
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$$
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\frac{n!}{k!(n-k)!} = {^n}C_k
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{n \choose k}
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$$
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## 分数在分数
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$$
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\frac{\frac{1}{x}+\frac{1}{y}}{y-z}
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$$
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## ｎ次方根
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$$
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\sqrt[n]{1+x+x^2+x^3+\ldots}
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$$
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## 矩阵
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$$
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\begin{pmatrix} a_{11} & a_{12} & a_{13}\\\\ a_{21} & a_{22} & a_{23}\\\\ a_{31} & a_{32} & a_{33} \end{pmatrix}
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\begin{bmatrix} 0 & \cdots & 0 \\\\ \vdots & \ddots & \vdots \\\\ 0 & \cdots & 0 \end{bmatrix}
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$$
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## 标点符号
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$$
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f(x) = \sqrt{1+x} \quad (x \ge -1)
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f(x) \sim x^2 \quad (x\to\infty)
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$$
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现在用标点符号:
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$$
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f(x) = \sqrt{1+x}, \quad x \ge -1
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f(x) \sim x^2, \quad x\to\infty
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$$
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@ -40,7 +40,7 @@
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</div>
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</footer>
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{{- partialCached "scripts.html" . }}
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{{- partial "scripts.html" . }}
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</body>
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</html>
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16
layouts/partials/_funs/get_res.html
Normal file
16
layouts/partials/_funs/get_res.html
Normal file
@ -0,0 +1,16 @@
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{{/* Use to get resources path with vendor */}}
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{{ $fmt := "%s/%s@%s/%s" }}
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{{ $npm := .res.name }}
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{{ with .res.alias }}
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{{ $npm = . }}
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{{ end }}
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{{ $file := .res.file }}
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{{ if eq .vendor "cdnjs" }}
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{{ $file = replaceRE `(dist|lib|source\/js)\/` "" .res.file }}
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{{ $fmt = "%s/%s/%s/%s" }}
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{{ end }}
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{{ $pluginRes := printf $fmt .router $npm .res.version $file }}
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{{ return $pluginRes }}
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@ -1,80 +1,39 @@
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<!-- Plugin scripts files -->
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{{- $jsRes := .Site.Data.resources.js }}
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{{ partialCached "scripts/global.html" . }}
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{{- $vendor := .Site.Params.vendors.plugins }}
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{{- $router := .Scratch.Get "router" }}
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{{ $jsFmt := "%s/%s@%s/%s" }}
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{{- range $js := $jsRes }}
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{{- $npm := $js.name }}
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{{- $file := $js.file }}
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{{- if eq $vendor "cdnjs" }}
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{{- with $js.alias }}
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{{- $npm = . }}
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{{- end }}
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{{- $file = replaceRE `(dist|lib|source\/js)\/` "" $js.file }}
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{{- $jsFmt = "%s/%s/%s/%s" }}
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{{- end }}
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{{- $pluginJS := printf $jsFmt $router $npm $js.version $file }}
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<script type="text/javascript" src="{{ $pluginJS }}" defer></script>
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{{- end }}
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<script class="next-config" data-name="main" type="application/json">{{- .Scratch.Get "config" -}}</script>
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<!-- Load math render scripts -->
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{{ $math := .Params.math | default .Site.Params.math }}
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{{ if $math }}
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{{- partialCached "scripts/plugins.html" (dict "vendor" $vendor "router" $router "res" .Site.Data.resources.plugins "index" $math) }}
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{{ if eq $math "katex" }}
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<script type="text/javascript">
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document.addEventListener("DOMContentLoaded", function() {
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renderMathInElement(document.body, {
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delimiters: [
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{left: '$$', right: '$$', display: true},
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{left: '$', right: '$', display: false},
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{left: '\\(', right: '\\)', display: false},
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{left: '\\[', right: '\\]', display: true}
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],
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{{- $config := resources.Get "js/config.js" }}
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{{- $motion := resources.Get "js/motion.js" }}
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{{- $boot := resources.Get "js/next-boot.js" }}
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{{- $utils := resources.Get "js/utils.js" }}
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{{- $nextjs := (slice $config $utils $boot ) }}
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{{- if .Site.Params.motion.enable }}
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{{ $motionjs := resources.Get "js/motion.js" }}
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{{ $nextjs = $nextjs | append $motionjs }}
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{{- end }}
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{{- if or (eq .Site.Params.shceme "Muse") (eq .Site.Params.shceme "Mist") }}
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{{ $musejs := resources.Get "js/schemes/muse.js" }}
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{{ $nextjs = $nextjs | append $musejs }}
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{{- end }}
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{{- if .Site.Params.bookmark.enable }}
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{{- $bookmarkjs := resources.Get "js/bookmark.js" }}
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{{- $nextjs = $nextjs | append $bookmarkjs }}
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{{- end }}
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{{- if .Site.Params.pjax }}
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{{- $pjaxjs := resources.Get "js/pjax.js" }}
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{{- $nextjs = $nextjs | append $pjaxjs }}
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{{- end }}
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{{- if isset .Site.Params "addthisid" }}
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{{- $addthisjs := resources.Get "js/third-party/share/addthis.js" }}
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{{- $nextjs = $nextjs | append $addthisjs }}
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{{- end }}
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{{- if isset .Site.Params "waline" }}
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{{- $walinejs := resources.Get "js/third-party/comments/waline.js" }}
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{{- $nextjs = $nextjs | append $walinejs }}
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{{- end }}
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{{- if isset .Site.Params "giscus" }}
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{{- $giscusjs := resources.Get "js/third-party/comments/giscus.js" }}
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{{- $nextjs = $nextjs | append $giscusjs }}
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{{- end }}
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{{- if isset .Site.Params "livere" }}
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{{- $liverejs := resources.Get "js/third-party/comments/livere.js" }}
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{{- $nextjs = $nextjs | append $liverejs }}
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{{- end }}
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{{- if isset .Site.Params "artalk" }}
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{{- $artalkjs := resources.Get "js/third-party/comments/artalk.js" }}
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{{- $nextjs = $nextjs | append $artalkjs }}
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{{- end }}
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{{- if isset .Site.Params "utterances" }}
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{{- $utterancesjs := resources.Get "js/third-party/comments/utterances.js" }}
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{{- $nextjs = $nextjs | append $utterancesjs }}
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{{- end }}
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{{- if .Site.Params.localSearch.enable }}
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{{- $search := resources.Get "js/third-party/search/local.js" }}
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{{- $nextjs = $nextjs | append $search }}
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throwOnError : false
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});
|
||||
});
|
||||
</script>
|
||||
{{ end }}
|
||||
{{- if .Site.Params.algoliaSearch.enable }}
|
||||
{{- $search := resources.Get "js/third-party/search/algolia.js" }}
|
||||
{{- $nextjs = $nextjs | append $search }}
|
||||
{{ if eq $math "mathjax" }}
|
||||
<script type="text/javascript">
|
||||
window.MathJax = {
|
||||
tex: {
|
||||
inlineMath: [["$", "$"]],
|
||||
}
|
||||
};
|
||||
</script>
|
||||
{{ end }}
|
||||
{{- $nextjs = $nextjs | resources.Concat "js/main.js"}}
|
||||
{{ if hugo.IsProduction }}
|
||||
{{- $nextjs = $nextjs | minify | fingerprint }}
|
||||
{{ end }}
|
||||
<script type="text/javascript" src="{{ $nextjs.RelPermalink }}" defer></script>
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
68
layouts/partials/scripts/global.html
Normal file
68
layouts/partials/scripts/global.html
Normal file
@ -0,0 +1,68 @@
|
||||
{{- $jsRes := .Site.Data.resources.js }}
|
||||
{{- $vendor := .Site.Params.vendors.plugins }}
|
||||
{{- $router := .Scratch.Get "router" }}
|
||||
{{- range $jsRes }}
|
||||
{{ $pluginJS := partial "_funs/get_res.html" (dict "res" . "vendor" $vendor "router" $router) }}
|
||||
<script type="text/javascript" src="{{ $pluginJS }}" defer></script>
|
||||
{{- end }}
|
||||
|
||||
<script class="next-config" data-name="main" type="application/json">{{- .Scratch.Get "config" -}}</script>
|
||||
|
||||
{{- $config := resources.Get "js/config.js" }}
|
||||
{{- $motion := resources.Get "js/motion.js" }}
|
||||
{{- $boot := resources.Get "js/next-boot.js" }}
|
||||
{{- $utils := resources.Get "js/utils.js" }}
|
||||
{{- $nextjs := (slice $config $utils $boot ) }}
|
||||
{{- if .Site.Params.motion.enable }}
|
||||
{{ $motionjs := resources.Get "js/motion.js" }}
|
||||
{{ $nextjs = $nextjs | append $motionjs }}
|
||||
{{- end }}
|
||||
{{- if or (eq .Site.Params.shceme "Muse") (eq .Site.Params.shceme "Mist") }}
|
||||
{{ $musejs := resources.Get "js/schemes/muse.js" }}
|
||||
{{ $nextjs = $nextjs | append $musejs }}
|
||||
{{- end }}
|
||||
{{- if .Site.Params.bookmark.enable }}
|
||||
{{- $bookmarkjs := resources.Get "js/bookmark.js" }}
|
||||
{{- $nextjs = $nextjs | append $bookmarkjs }}
|
||||
{{- end }}
|
||||
{{- if .Site.Params.pjax }}
|
||||
{{- $pjaxjs := resources.Get "js/pjax.js" }}
|
||||
{{- $nextjs = $nextjs | append $pjaxjs }}
|
||||
{{- end }}
|
||||
{{- if isset .Site.Params "addthisid" }}
|
||||
{{- $addthisjs := resources.Get "js/third-party/share/addthis.js" }}
|
||||
{{- $nextjs = $nextjs | append $addthisjs }}
|
||||
{{- end }}
|
||||
{{- if isset .Site.Params "waline" }}
|
||||
{{- $walinejs := resources.Get "js/third-party/comments/waline.js" }}
|
||||
{{- $nextjs = $nextjs | append $walinejs }}
|
||||
{{- end }}
|
||||
{{- if isset .Site.Params "giscus" }}
|
||||
{{- $giscusjs := resources.Get "js/third-party/comments/giscus.js" }}
|
||||
{{- $nextjs = $nextjs | append $giscusjs }}
|
||||
{{- end }}
|
||||
{{- if isset .Site.Params "livere" }}
|
||||
{{- $liverejs := resources.Get "js/third-party/comments/livere.js" }}
|
||||
{{- $nextjs = $nextjs | append $liverejs }}
|
||||
{{- end }}
|
||||
{{- if isset .Site.Params "artalk" }}
|
||||
{{- $artalkjs := resources.Get "js/third-party/comments/artalk.js" }}
|
||||
{{- $nextjs = $nextjs | append $artalkjs }}
|
||||
{{- end }}
|
||||
{{- if isset .Site.Params "utterances" }}
|
||||
{{- $utterancesjs := resources.Get "js/third-party/comments/utterances.js" }}
|
||||
{{- $nextjs = $nextjs | append $utterancesjs }}
|
||||
{{- end }}
|
||||
{{- if .Site.Params.localSearch.enable }}
|
||||
{{- $search := resources.Get "js/third-party/search/local.js" }}
|
||||
{{- $nextjs = $nextjs | append $search }}
|
||||
{{ end }}
|
||||
{{- if .Site.Params.algoliaSearch.enable }}
|
||||
{{- $search := resources.Get "js/third-party/search/algolia.js" }}
|
||||
{{- $nextjs = $nextjs | append $search }}
|
||||
{{ end }}
|
||||
{{- $nextjs = $nextjs | resources.Concat "js/main.js"}}
|
||||
{{ if hugo.IsProduction }}
|
||||
{{- $nextjs = $nextjs | minify | fingerprint }}
|
||||
{{ end }}
|
||||
<script type="text/javascript" src="{{ $nextjs.RelPermalink }}" defer></script>
|
||||
17
layouts/partials/scripts/plugins.html
Normal file
17
layouts/partials/scripts/plugins.html
Normal file
@ -0,0 +1,17 @@
|
||||
|
||||
{{- $vendor := .vendor }}
|
||||
{{- $router := .router }}
|
||||
{{- $res := (index .res .index) }}
|
||||
{{- $cssRes := $res.css }}
|
||||
{{ if $cssRes }}
|
||||
{{ range $cssRes }}
|
||||
{{ $css := partial "_funs/get_res.html" (dict "res" . "vendor" $vendor "router" $router) }}
|
||||
<link rel="stylesheet" href="{{ $css }}"/>
|
||||
{{ end }}
|
||||
{{ end }}
|
||||
{{- $jsRes := $res.js }}
|
||||
{{ range $jsRes }}
|
||||
{{ $js := partial "_funs/get_res.html" (dict "res" . "vendor" $vendor "router" $router) }}
|
||||
<script type="text/javascript" src="{{ $js }}"></script>
|
||||
{{ end }}
|
||||
|
||||
Loading…
Reference in New Issue
Block a user