Heading 1

Paragraph

• bold, italic, strikethrough, inline code
• ==highlight== (requires the kramdown extension), \(H_2~O\) (quires katex)

Line break (two trailing spaces)
New line.

• Line break in lists (two trailing spaces)
  New line.

New Paragraph (separated by a blank line).

Decrypt and encrypt text (access token: 233):

Encrypted content!

Blockquote

Single-line quote.

Multi-line quote (two trailing spaces)
continuing the same block.

Values: tags

New page with HTML5 + CSS 3:

Heading 2

Link and autolink https://example.com, as well as email mail.

Blockquote for bilingual support. Click Bilingual Button or set page.bilingual false to show.

Blockquote: used for bilingual folding test. First paragraph.

Second paragraph (multi-paragraph).

Skip processing

Multi-Language Test

简体中文 (Simplified Chinese) — 你好，世界！这是一个多语言测试页面。守望先锋 的天使非常可爱。

繁體中文 (Traditional Chinese) — 你好，世界！這是一個多語言測試頁面。守望先鋒 的天使非常可愛。

English — Hello, world! This is a multilingual test page. Mercy from Overwatch is very cute.

日本語 (Japanese) — こんにちは、世界！これは多言語テストページです。オーバーウォッチ のエンジェルはとてもかわいいです。

한국어 (Korean) — 안녕하세요, 세계! 이것은 다국어 테스트 페이지입니다. 오버워치 의 메르시는 매우 귀여워요.

Español (Spanish) — ¡Hola, mundo! Esta es una página de prueba multilingüe. Mercy de Overwatch es muy linda.

Français (French) — Bonjour, le monde ! Ceci est une page de test multilingue. Mercy d’Overwatch est très mignonne.

Deutsch (German) — Hallo, Welt! Dies ist eine mehrsprachige Testseite. Mercy aus Overwatch ist sehr süß.

Русский (Russian) — Привет, мир! Это многоязычная тестовая страница. Ангел из Overwatch очень милая.

العربية (Arabic) — مرحبا بالعالم! هذه صفحة اختبار متعددة اللغات. ميرشي من أوفر ووتش لطيفة جداً.

हिन्दी (Hindi) — नमस्ते, दुनिया! यह एक बहुभाषी परीक्षण पृष्ठ है। ओवरवॉच की मर्सी बहुत प्यारी है।

ไทย (Thai) — สวัสदीโลก! นี่คือหน้าเว็บทดสอบหลายภาษา เมอร์ซี่ จาก โอเวอร์วอッチ น่ารักมาก

Tiếng Việt (Vietnamese) — Xin chào thế giới! Đây là trang kiểm tra đa ngôn ngữ. Mercy trong Overwatch rất dễ thương.

Português (Portuguese) — Olá, mundo! Esta é uma página de teste multilíngue. Mercy de Overwatch é muito fofa.

Italiano (Italian) — Ciao, mondo! Questa è una pagina di test multilingue. Mercy di Overwatch è molto carina.

Heading 4

Heading 5

Heading 6

Formulas (KaTeX or MathJax)

1. Bayes’ theorem (including the evidence term)

   \[p(\theta\mid x)=\frac{p(x\mid \theta)p(\theta)}{p(x)},\qquad p(x)=\int p(x\mid \theta)p(\theta),d\theta\]

2. Relationship between KL divergence and cross-entropy

   \[D_{\mathrm{KL}}(p\Vert q)=\int p(x)\log\frac{p(x)}{q(x)},dx ,\qquad H(p,q)=H(p)+D_{\mathrm{KL}}(p\Vert q)\]

3. Evidence Lower Bound (ELBO)

   \[\log p(x)=\mathcal{L}(q)+D_{\mathrm{KL}}!\bigl(q(z)\Vert p(z\mid x)\bigr), \qquad \mathcal{L}(q)=\mathbb{E}_{q(z)}[\log p(x,z)-\log q(z)]\]

4. Multivariate Gaussian density

   \[\mathcal{N}(x\mid \mu,\Sigma)=\frac{1}{(2\pi)^{d/2},|\Sigma|^{1/2}} \exp!\left(-\frac12(x-\mu)^\top\Sigma^{-1}(x-\mu)\right)\]

5. Closed-form solution of linear regression (least squares)

   \[\hat{\beta}=\arg\min_{\beta}|y-X\beta|_2^2 \quad\Rightarrow\quad \hat{\beta}=(X^\top X)^{-1}X^\top y\]

6. Lagrangian duality (primal–dual–KKT skeleton)

   \(\min_x f(x)\ \text{s.t.}\ g_i(x)\le 0,\ h_j(x)=0\) \(L(x,\lambda,\nu)=f(x)+\sum_i \lambda_i g_i(x)+\sum_j \nu_j h_j(x),\qquad \max_{\lambda\ge 0,\nu}\ \inf_x L(x,\lambda,\nu)\)

7. Euler–Lagrange equation (calculus of variations / classical mechanics)

   \[\frac{\partial \mathcal{L}}{\partial q}-\frac{d}{dt}\left(\frac{\partial \mathcal{L}}{\partial \dot q}\right)=0\]

8. Maxwell’s equations (SI)

   \[\nabla\cdot \mathbf{E}=\frac{\rho}{\varepsilon_0},\quad \nabla\cdot \mathbf{B}=0,\quad \nabla\times \mathbf{E}=-\frac{\partial \mathbf{B}}{\partial t},\quad \nabla\times \mathbf{B}=\mu_0\mathbf{J}+\mu_0\varepsilon_0\frac{\partial \mathbf{E}}{\partial t}\]

Lists and Tables

Ordered and Unordered Lists

• Unordered 1
• Unordered 2
  • Nested 2.1
  • Nested 2.2

    Third paragraph used for bilingual folding test.

1. Ordered 1
2. Ordered 2
   1. Nested 2.1

      Fourth paragraph used for bilingual folding test.

• Task done
• Task todo

  Fifth paragraph used for bilingual folding test.

Definition Lists (kramdown)

Term A

Definition A

Sixth paragraph used for bilingual folding test.

Definition A2

Definition A3

Definition A 3.1

1. Term B

   Definition B

2. Term C

   1. Term C 1.1

      Definition

      • Term C 1.2

      Definition

Tables

Code

Inline: const x = 1;

// fenced code
function hello(name){ return `hi ${name}`; }

# another block
print("ok")

Footnotes (kramdown)

Footnote example¹ and the second one².

Horizontal Rules & Escapes

*Asterisks not italic*
_underscores not italic_
# not a heading
> not a blockquote
- not a list item
+ not a list item
1. not an ordered list
[not a link](not a URL)
`not code`
\ not an escape start
| not a table cell
: not table alignment
~~not strikethrough~~
<not an HTML tag>
\& not an entity
==not highlight==
\^[not a footnote]
$not math$.

\*Asterisks not italic\*  
\_underscores not italic\_  
\# not a heading  
\> not a blockquote  
\- not a list item  
\+ not a list item  
1\. not an ordered list  
\[not a link\]\(not a URL\)  
\!\[not an image\]\(not a URL\)  
\`not code\`  
\\ not an escape start  
\| not a table cell  
\: not table alignment  
\~\~not strikethrough\~\~  
\<not an HTML tag\>  
\& not an entity  
\=\=not highlight\=\=  
\^\[not a footnote\]  
\$not math\$.

Inline HTML (common elements)

Pure HTML blockquote (with class/attr), testing linkage with JS selectors.

Anchors / IDs

Subsection heading

Jump to the custom anchor。