mirror of
https://github.com/JimenezJC/mshj_blog.git
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120 lines
3.5 KiB
HTML
120 lines
3.5 KiB
HTML
<!DOCTYPE html>
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<html lang="en-us"><head><script src="/livereload.js?mindelay=10&v=2&port=1313&path=livereload" data-no-instant defer></script>
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<meta charset="utf-8" />
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<meta http-equiv="X-UA-Compatible" content="IE=edge" />
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<meta name="viewport" content="width=device-width, initial-scale=1" />
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<meta name="description" content="Inline math:
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\(\varphi\)
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Displayed math:
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$$\begin{aligned}
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\varphi &\Rightarrow \psi \\
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\varnothing &\rightarrow A
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\end{aligned}$$
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$$
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R_{\mu \nu} - {1 \over 2}g_{\mu \nu},R + g_{\mu \nu} \Lambda
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= {8 \pi G \over c^4} T_{\mu \nu}
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$$
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The equation $$(x_i \cdot x_j)^2$$ is called kernel function and is often written as $$k(x_i, x_j)$$.
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$$
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\arg\max_\alpha \sum_j \alpha_j - \frac{1}{2} \sum_{j,k} \alpha_j, \alpha_k y_j y_k (x_j \cdot x_k)
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$$
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$$
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f(X) = \frac{1}{(2\pi)^{\frac{n}{2} |\Sigma|^{\frac{1}{2}}}} e^{ - \frac{1}{2} (X - \mu)^T \Sigma^{-1} (X - \mu)}
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$$">
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<title>
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Test Tex
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</title>
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<link rel="shortcut icon" type="image/x-icon" href="/" />
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<link rel="stylesheet" href="/css/main.900100e9dbee2d56c58fac8bb717037cae7e26a9c36c29d2ff587bdd65f0cbbe510b41d81a3bb234919cdfdc7550d786b2fab70c8fc507772d732fe097106d12.css" integrity="sha512-kAEA6dvuLVbFj6yLtxcDfK5+JqnDbCnS/1h73WXwy75RC0HYGjuyNJGc39x1UNeGsvq3DI/FB3ctcy/glxBtEg==" />
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<script>
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MathJax = {
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tex: {
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inlineMath: [['$', '$'], ['\\(', '\\)']],
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displayMath: [['$$','$$'], ['\\[', '\\]']],
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processEscapes: true,
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processEnvironments: true
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},
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options: {
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skipHtmlTags: ['script', 'noscript', 'style', 'textarea', 'pre']
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}
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};
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window.addEventListener('load', (event) => {
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document.querySelectorAll("mjx-container").forEach(function(x){
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x.parentElement.classList += 'has-jax'})
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});
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</script>
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<script src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6"></script>
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<script id="MathJax-script" async src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js"></script>
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</head>
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<body a="auto">
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<main class="page-content" aria-label="Content">
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<div class="w">
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<div class="post-meta">
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<a href="/">..</a>
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<p>
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<time datetime="2022-08-26 22:28:10 +0800 +0800">
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2022-08-26
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</time>
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</p>
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</div>
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<article>
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<h1>Test Tex</h1>
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<p>Inline math: <span>
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\(\varphi\)
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</span>
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</p>
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<p>Displayed math:
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<span>
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$$\begin{aligned}
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\varphi &\Rightarrow \psi \\
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\varnothing &\rightarrow A
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\end{aligned}$$
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</span>
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</p>
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<p>$$
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R_{\mu \nu} - {1 \over 2}g_{\mu \nu},R + g_{\mu \nu} \Lambda
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= {8 \pi G \over c^4} T_{\mu \nu}
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$$</p>
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<p>The equation $$(x_i \cdot x_j)^2$$ is called kernel function and is often written as $$k(x_i, x_j)$$.</p>
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<p>$$
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\arg\max_\alpha \sum_j \alpha_j - \frac{1}{2} \sum_{j,k} \alpha_j, \alpha_k y_j y_k (x_j \cdot x_k)
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$$</p>
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<p>$$
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f(X) = \frac{1}{(2\pi)^{\frac{n}{2} |\Sigma|^{\frac{1}{2}}}} e^{ - \frac{1}{2} (X - \mu)^T \Sigma^{-1} (X - \mu)}
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$$</p>
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<p>$$
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\mu_i = \sum_{j=1}^N \frac{p_{ij} x}{n_i} \
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\Sigma_i = \sum_{j=1}^N \frac{p_{ij} (x_j - \mu_i) (x_j - \mu_i)^T}{n_i}\
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w_i = \frac{n_i}{N}
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$$</p>
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<p>$$
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S_i^{(t)} = \big { x_p : \big | x_p - \mu^{(t)}_i \big |^2 \le \big | x_p - \mu^{(t)}_j \big |^2 \ \forall j, 1 \le j \le k \big}
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$$</p>
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<p>(The error above is a demo for incorrect formulas.)</p>
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</article>
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</div>
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</main>
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</body></html>
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