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Markdown is a lightweight markup language that converts text into structured HTML.

The following guide will help you understand how to use Markdown.

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𝖨𝗇𝗍𝖾𝗋𝗇𝖺𝗅 𝖫𝗂𝗇𝗄𝗌 𝖮𝖿 𝖠𝗅𝗅 𝖯𝖺𝗋𝖺𝗀𝗋𝖺𝗉𝗁𝗌

Headings
Styling Text
Paragraphs and Line Breaks
Lists
Links
Images
Video
Code
Quoting Text
Horizontal Line
Tables
Tasks
Alerts
Comments
Collapsibles
Emoji
HTML
Characters
Math Styling Text
Math Blocks
Diagrams
Charts
Maps
3D Models
Footnotes

# First level header
## Second level header
### Third level header
#### Fourth level header
##### Fifth level header
###### Sixth level header
Headings as HTML

<h1>First level header</h1>
<h2>Second level header</h2>
<h3>Third level header</h3>
<h4>Fourth level header</h4>
<h5>Fifth level header</h5>
<h6>Sixth level header</h6>

Example:

First level header

Second level header

Third level header

Fourth level header

Fifth level header
Sixth level header


Italic

*italic*  
_italic_
Italic as HTML

<i>italic</i>
<em>italic</em>
<var>italic</var>

Example:

italic
italic


Bold

**bold**  
__bold__
Bold as HTML

<b>bold</b>
<strong>bold</strong>

Example:

bold
bold


Bold Italic

***bold italic***  
___bold italic___
Bold Italic as HTML

<b><i>bold italic</i></b>
<strong><em>bold italic</em></strong>

Example:

bold italic
bold italic


Strikethrough

~~strikethrough~~
Strikethrough as HTML

<s>strikethrough</s>
<del>strikethrough</del>

Example:

strikethrough


Superscript and Subscript as HTML

Superscript

This is a <sup>superscript</sup> text

Example:

This is a superscript text


Subscript

This is a <sub>subscript</sub> text

Example:

This is a subscript text



This is a paragraph. To create a new paragraph, leave a blank line between two lines of text.

This is the first line  
And this is the second line, but they are in the same paragraph. To move a line, use two spaces at the end of the previous line.

Example:

This is a paragraph. To create a new paragraph, leave a blank line between two lines of text.

This is the first line
And this is the second line, but they are in the same paragraph. To move a line, use two spaces at the end of the previous line.


Line Breaks as HTML

This is the first line <br> And this is the second line

or

<dd>This is the first line</dd> And this is the second line

Example:

This is the first line
And this is the second line



Numbered List

1. Paragraph one
2. Paragraph two
3. Paragraph three
Numbered List as HTML

<ol>
  <li>Paragraph one</li>
  <li>Paragraph two</li>
  <li>Paragraph three</li>
</ol>

Example:

  1. Paragraph one
  2. Paragraph two
  3. Paragraph three

Marked List

- Bullet point one
- Bullet point two
- Bullet point three
Marked List as HTML

<ul>
  <li>Paragraph one</li>
  <li>Paragraph two</li>
  <li>Paragraph three</li>
</ul>

Example:

  • Bullet point one
  • Bullet point two
  • Bullet point three

Nested List

You can create a nested list by indenting one or more list items below another item.

1. First list item
    - First nested list item
    - First nested list item
2. First list item
    - First nested list item
        + Second nested list item
        + Second nested list item
    - First nested list item
        * Second nested list item
        * Second nested list item
Nested List as HTML

<ol>
  <li>First list item</li>
  <ul>
    <li>First nested list item</li>
    <li>First nested list item</li>
  </ul>
  <li>First list item</li>
  <ul>
    <li>First nested list item</li>
    <ul>
      <li>Second nested list item</li>
      <li>Second nested list item</li>
    </ul>
  </ul>
  <ul>
    <li>First nested list item</li>
    <ul>
      <li>Second nested list item</li>
      <li>Second nested list item</li>
    </ul>
  </ul>
</ol>

Example:

  1. First list item
    • First nested list item
    • First nested list item
  2. First list item
    • First nested list item
      • Second nested list item
      • Second nested list item
    • First nested list item
      • Second nested list item
      • Second nested list item


[Link Text](https://www.example.com)

Example:

Link Text


Automatic Links

<http://example.com/>

<address@example.com>

Example

http://example.com/

address@example.com


Reference-style Links

Reference-style links allow you to refer to your links by names, which you define elsewhere in your document:

I get 10 times more traffic from [Google][1] than from
[Yahoo][2] or [MSN][3].

[1]: http://google.com/        "Google"
[2]: http://search.yahoo.com/  "Yahoo Search"
[3]: http://search.msn.com/    "MSN Search"
Reference-style Links as HTML

<p>I get 10 times more traffic from <a href="http://google.com/"
title="Google">Google</a> than from <a href="http://search.yahoo.com/"
title="Yahoo Search">Yahoo</a> or <a href="http://search.msn.com/"
title="MSN Search">MSN</a>.</p>

Example

I get 10 times more traffic from Google than from Yahoo or MSN.


Internal Links

[Some Title 1](#some-title-1)

## Some Title 1
Some content

Example:

Some Title 1

Some Title 1

Some content


Title Link as HTML

[Go to Title 1](#title1)

## <a id="title1">Title 1</a>
Some content

Example:

Go to Title 1

Some content



10MB for images and gifs

![Description text](https://www.example.com/image.jpg)

Example:

Description text


Custom Image Size As HTML

<img width="50%" height="auto" src="https://www.example.com/image.jpg">

Example:


Tip

How to upload images

  1. Drag-and-drop an image on to the description field. This will start the uploading process.

  2. Copy the URL and use it in README, issues or pull requests however you like.

Example of uploading image to GitHub's



Image tags that link to files with a video extension are automatically converted to a video player. The valid video extensions are .mp4, .m4v, .mov, .webm, and .ogv.

10MB for videos uploaded to a repository owned by a user or organization on a free GitHub plan

100MB for videos uploaded to a repository owned by a user or organization on a free GitHub plan

If the video is short, you can insert the video via drag and drop into a Markdown file.

https://github.com/user-attachments/assets/964af541-a09b-4569-be9d-5d3a826b8d49

Example:

Introduction.to.GitHubActions.mp4

Link to YouTube videos can be embedded with a preview image.

[![Sample Video](photo/youtube-video-preview.png)](https://www.youtube.com/watch?v=xREYX-AHii0&list=PL0lo9MOBetEE_p_lL10nji8nVTuzYT580)

Example:

Sample Video


Custom Video Size As HTML

[<img width="50%" src="photo/youtube-video-preview.png">](https://www.youtube.com/watch?v=xREYX-AHii0&list=PL0lo9MOBetEE_p_lL10nji8nVTuzYT580)

Example:



Code Line

`line of code`
Code Line as HTML

<code>line of code</code>

Example:

line of code


Code Block

Block of code can be written in multiple lines.

For blocks of code, use three ``` or ~~~.

```
def main():
    message = "Hello, World!"
    print(message)

if __name__ == "__main__":
    main()
```

Example:

def main():
    message = "Hello, World!"
    print(message)

if __name__ == "__main__":
    main()

Code Highlighting

You can specify the programming language for code blocks.

Syntax highlighting from the linguist library, which includes many different languages, is used.

```python
print("Hello World!")
```

Example:

print("Hello World!")

Git diff Сode

```diff
type demo struct {
-   text in red
+   text in green
!   text in orange
#   text in gray
@@  text in purple (and bold)@@
}
```

Example:

type demo struct {
-   text in red
+   text in green
!   text in orange
#   text in gray
@@  text in purple (and bold)@@
}

Demonstrate Code

To demonstrate how to display the code, place the block in ~~~.

~~~
```python
print("Hello World!")
```
~~~

Example:

```python
print("Hello World!")
```

Preservation Of Original Formatting

The <pre> tag in HTML is used to display text in a format that preserves all spaces and line breaks as they are written in the source code.

<pre>
This is the text inside the "pre" tag.

    It preserves all spaces and
  line breaks.

    function example() {
        console.log("Hello, world!");
    }
</pre>

Example:

This is the text inside the "pre" tag.
  
    It preserves all spaces and
  line breaks.

    function example() {
        console.log("Hello, world!");
    }

Tip

Top Code Languages

Language Keyword
Bash bash
C# csharp
Clojure clojure
C++ cpp
CSS css
CoffeeScript coffeescript
CMake cmake
HTML html
HTTP http
Java java
JavaScript javascript
JSON json
Markdown markdown
Objective C objectivec
Perl perl
PHP php
Python python
Ruby ruby
R r
SQL sql
Scala scala
Vala vala
XML xml
~

Full List of Programming Languages



You can quote text with a >.

> First level of quoting
>> Second level of quoting
>>> Third level of quoting

Example:

First level of quoting

Second level of quoting

Third level of quoting


Block Quote as HTML

Block Quote

<blockquote>
You can put entire paragraphs in a `blockquote` tag and it will appear as a quote.

This will work even if you write on multiple lines.


And even if you move the text to a new line.
</blockquote>

Example:

You can put entire paragraphs in a `blockquote` tag and it will appear as a quote.

This will work even if you write on multiple lines.

And even if you move the text to a new line.



Hyphens

---

Asterisks

***

Underscores

___
Horizontal Line as HTML

<hr>

Example:




| First Title  | Second Title | Third Title |
|   :------:   | :-------     |    -------: |
|   Cell 1.1   | Cell 1.2     |    Cell 1.3 |
|   Cell 2.1   | Cell 2.2     |    Cell 2.3 |
|   Cell 3.1   | Cell 3.2     |    Cell 3.3 |
Table as HTML

<table>
  <thead>
    <tr>
      <th align="center">First Title</th>
      <th align="left">Second Title</th>
      <th align="right">Third Title</th>
    </tr>
  </thead>
  <tbody>
    <tr>
      <td align="center">Cell 1.1</td>
      <td align="left">Cell 1.2</td>
      <td align="right">Cell 1.3</td>
    </tr>
    <tr>
      <td align="center">Cell 2.1</td>
      <td align="left">Cell 2.2</td>
      <td align="right">Cell 2.3</td>
    </tr>
    <tr>
      <td align="center">Cell 3.1</td>
      <td align="left">Cell 3.2</td>
      <td align="right">Cell 3.3</td>
    </tr>
  </tbody>
</table>

Example:

First Title Second Title Third Title
Cell 1.1 Cell 1.2 Cell 1.3
Cell 2.1 Cell 2.2 Cell 2.3
Cell 3.1 Cell 3.2 Cell 3.3


- [x] Task 1
- [ ] Task 2
- [ ] Task 3

Example:

  • Task 1
  • Task 2
  • Task 3


> [!caution]
> Depending on the title inside the brackets `[` `]` will be:
>
> -   Icon will change
> -   Сolor will change
>
> ###### This happens automatically because of this implementation in Markdown.

Example:

Caution

Depending on the title inside the brackets [ ] will be:

  • Icon will change
  • Сolor will change
This happens automatically because of this implementation in Markdown.

> [!warning]
> This “warning” block indicates a warning or important information that needs attention.

Example:

Warning

This “warning” block indicates a warning or important information that needs attention.


> [!tip]
> This “tip” block indicates a helpful tip or recommendation.

Example:

Tip

This “tip” block indicates a helpful tip or recommendation.


> [!note]
> This “note” block indicates a note or additional information.

Example:

Note

This “note” block indicates a note or additional information.


> [!important]
> This “important” block indicates critical information.

Example:

Important

This “important” block indicates critical information.


Сustom Alerts

> $\color{#da3633}{\textsf{\Large{⦻} \normalsize{Error}}}$
> 
> $\color{#e6edf3}{\textsf{This "custom" block can have any information.}}$
> 
> ###### Made with the help of LaTeX.
> $\color{#e89820}{\textsf{\large{⁉︎} \normalsize{Report}}}$
> 
> $\color{#e6edf3}{\textsf{This “report” block provides a detailed account or statement about a particular topic or event.}}$
> $\color{#9dea20}{\textsf{\Large{✓} \normalsize{Check}}}$
> 
> $\color{#e6edf3}{\textsf{This “check” block is used to verify or confirm information, actions, or conditions.}}$
> $\color{#d8d034}{\textsf{\LARGE{♺} \normalsize{Reuse}}}$
> 
> $\color{#e6edf3}{\textsf{This “reuse” block highlights elements or components that can be used again in different contexts or applications.}}$

Example:

$\color{#da3633}{\textsf{\Large{⦻} \normalsize{Error}}}$

$\color{#e6edf3}{\textsf{This "custom" block can have any information.}}$

Made with the help of LaTeX.

$\color{#e89820}{\textsf{\large{⁉︎} \normalsize{Report}}}$

$\color{#e6edf3}{\textsf{This “report” block provides a detailed account or statement about a particular topic or event.}}$

$\color{#9dea20}{\textsf{\Large{✓} \normalsize{Check}}}$

$\color{#e6edf3}{\textsf{This “check” block is used to verify or confirm information, actions, or conditions.}}$

$\color{#d8d034}{\textsf{\LARGE{♺} \normalsize{Reuse}}}$

$\color{#e6edf3}{\textsf{This “reuse” block highlights elements or components that can be used again in different contexts or applications.}}$



You can insert comments into your Markdown file that will not appear in the final formatted file:

<!-- This content will not appear in the rendered Markdown -->

or

[//]: # (This is a comment and will not be displayed)

Example:




You can even hide blocks of code.

<details>
  <summary>CLICK ME</summary>
  <p>

```python
 print("Hello World!")
```

  </p>
</details>

Example:

CLICK ME

 print("Hello World!")


Collapsible Opened by Default

<details open>
  <summary>CLICK ME</summary>
  <p>

```python
 print("Hello World!")
```

  </p>
</details>

Example:

CLICK ME

 print("Hello World!")



You can use emoji in your Markdown files.

:smile:
:laughing:
:blush:

Example:

😄 😆 😊




Markdown supports the use of straight HTML within a document, so you can use any HTML tags for a more complex design:

<kbd>CTRL</kbd> + <kbd>P</kbd>

Example:

CTRL + P


Hotkey List

Symbol Description
Option
Control
Command
Shift
Caps Lock
Tab
Esc
⌽ / ⏻ Power
⏏︎ Eject
Return
Delete
Space
Up
Down
Left
Right
fn Function
F1 Function Key 1
F2 Function Key 2
F3 Function Key 3
F4 Function Key 4
F5 Function Key 5
F6 Function Key 6
F7 Function Key 7
F8 Function Key 8
F9 Function Key 9
F10 Function Key 10
F11 Function Key 11
F12 Function Key 12


HTML Codes

For example, you can use the HTML code &macr; to add a dash above a letter:

A&macr;

Example:


Highlights Text

<mark>This is a tag highlights text as if it were highlighted with a marker</mark>

Example:

This is a tag highlights text as if it were highlighted with a marker


Annotations

The notes at the top are useful for transcribing texts.

Use <ruby> and <rt> tags to display top annotations:

<ruby>大<rt>dà</rt>家<rt>jiā</rt>好<rt>hǎo</rt>。</ruby>

Example:

jiāhǎo



Basic Characters

Symbol Description
“ “ Space
Quotation Mark
' Single Quote
Apostrophe
` Accent Grave
´ Accent Aigu
: Colon
. Period / Dot
, Comma
~ Tilde
_ Underscore
Dash / Minus
+ Plus
* Asterisk
! Exclamation Mark
? Question Mark
& Ampersand
# Hash
% Percentage Sign
\ Backslash
/ Slash
| Pipe
( Parenthesis Open
) Parenthesis Close
[ Square Bracket Open
] Square Bracket Close
{ Squiggly Bracket Open
} Squiggly Bracket Close
> Is Greater Than
< Is Less Than
^ Caret


Letters With Characters

Latin

Alphabet
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

a b c d e f g h i j k l m n o p q r s t u v w x y z

Accented Latin Characters
À Á  à Ā Ă Ȧ Ä Ả Å Ǎ Ȁ Ȃ Ą Ạ Ḁ Ầ Ấ Ẫ Ẩ Ằ Ắ Ẵ Ẳ Ǡ Ǟ Ǻ Ậ Ặ Ⱥ Ɑ Ɐ Ɒ Æ Ǽ Ǣ Ḃ Ɓ Ḅ Ḇ Ƃ Ƅ Ƀ Ć Ĉ Ċ Č Ƈ Ç Ḉ Ȼ Ḋ Ɗ Ḍ Ḏ Ḑ Ḓ Ď Ð Đ Ɖ Ƌ È É Ê Ẽ Ē Ĕ Ė Ë Ẻ Ě Ȅ Ȇ Ẹ Ȩ Ę Ḙ Ḛ Ề Ế Ễ Ể Ḕ Ḗ Ệ Ḝ Ǝ Ɇ Ɛ Ə Ḟ Ƒ Ǵ Ĝ Ḡ Ğ Ġ Ǧ Ɠ Ģ Ǥ Ĥ Ḧ Ȟ Ḥ Ḩ Ḫ Ħ Ⱨ Ⱶ Ƕ Ì Í Î Ĩ Ī Ĭ İ Ï Ỉ Ǐ Ị Į Ȉ Ȋ Ḭ Ɨ Ḯ IJ Ĵ Ɉ Ḱ Ǩ Ḵ Ƙ Ḳ Ķ Ⱪ Ĺ Ḻ Ḷ Ļ Ḽ Ľ Ŀ Ł Ḹ Ƚ Ⱡ Ɫ Ḿ Ṁ Ṃ Ɱ Ɯ Ǹ Ń Ñ Ṅ Ň Ŋ Ɲ Ṇ Ņ Ṋ Ṉ Ƞ Ò Ó Ô Õ Ō Ŏ Ȯ Ö Ỏ Ő Ǒ Ȍ Ȏ Ơ Ǫ Ọ Ɵ Ø Ồ Ố Ỗ Ổ Ȱ Ȫ Ȭ Ṍ Ṑ Ṓ Ờ Ớ Ỡ Ở Ợ Ǭ Ộ Ǿ Ɔ Œ Ƣ Ṕ Ṗ Ƥ Ᵽ Ɋ Ŕ Ṙ Ř Ȑ Ȓ Ṛ Ŗ Ṟ Ṝ Ʀ Ɍ Ɽ Ś Ŝ Ṡ Š Ṣ Ș Ş Ȿ Ṥ Ṧ Ṩ Ƨ ẞ Ṫ Ť Ƭ Ʈ Ṭ Ț Ţ Ṱ Ṯ Ŧ Ⱦ Ù Ú Û Ũ Ū Ŭ Ü Ủ Ů Ű Ǔ Ȕ Ȗ Ư Ụ Ṳ Ų Ṷ Ṵ Ṹ Ṻ Ǜ Ǘ Ǖ Ǚ Ừ Ứ Ữ Ử Ự Ʉ Ṽ Ṿ Ʋ Ʌ Ẁ Ẃ Ŵ Ẇ Ẅ Ẉ Ⱳ Ẋ Ẍ Ỳ Ý Ŷ Ỹ Ȳ Ẏ Ÿ Ỷ Ƴ Ỵ Ɏ Ź Ẑ Ż Ž Ȥ Ẓ Ẕ Ƶ Ɀ Ⱬ

à á â ã ā ă ȧ ä ả å ǎ ȁ ȃ ą ạ ḁ ẚ ầ ấ ẫ ẩ ằ ắ ẵ ẳ ǡ ǟ ǻ ậ ặ ⱥ ɑ ɐ ɒ æ ǽ ǣ ḃ ɓ ḅ ḇ ƀ ƃ ƅ ć ĉ ċ č ƈ ç ḉ ȼ ḋ ɗ ḍ ḏ ḑ ḓ ď đ ƌ ȡ è é ê ẽ ē ĕ ė ë ẻ ě ȅ ȇ ẹ ȩ ę ḙ ḛ ề ế ễ ể ḕ ḗ ệ ḝ ɇ ɛ ǝ ⱸ ⱻ ḟ ƒ ǵ ĝ ḡ ğ ġ ǧ ɠ ģ ǥ ĥ ḣ ḧ ȟ ḥ ḩ ḫ ẖ ħ ⱨ ⱶ ƕ ì í î ĩ ī ĭ ı ï ỉ ǐ ị į ȉ ȋ ḭ ɨ ḯ ij ĵ ǰ ȷ ɉ ḱ ǩ ḵ ƙ ḳ ķ ĸ ⱪ ĺ ḻ ḷ ļ ḽ ľ ŀ ł ƚ ḹ ȴ ⱡ ḿ ṁ ṃ ɱ ɯ ǹ ń ñ ṅ ň ŋ ɲ ṇ ņ ṋ ṉ ʼn ƞ ȵ ò ó ô õ ō ŏ ȯ ö ỏ ő ǒ ȍ ȏ ơ ǫ ọ ɵ ø ồ ố ỗ ổ ȱ ȫ ȭ ṍ ṏ ṑ ṓ ờ ớ ỡ ở ợ ǭ ộ ǿ ɔ œ ƍ ⱷ ⱺ ƣ ṕ ṗ ƥ ɋ ŕ ṙ ř ȑ ȓ ṛ ŗ ṟ ṝ ɍ ⱹ ś ŝ ṡ š ṣ ș ş ȿ ṥ ṧ ṩ ƨ ß ſ ẛ ṫ ẗ ť ƭ ʈ ƫ ṭ ț ţ ṱ ṯ ŧ ⱦ ȶ ù ú û ũ ū ŭ ü ủ ů ű ǔ ȕ ȗ ư ụ ṳ ų ṷ ṵ ṹ ṻ ǜ ǘ ǖ ǚ ừ ứ ữ ử ự ʉ ṽ ṿ ⱱ ⱴ ʌ ẁ ẃ ŵ ẇ ẅ ẘ ẉ ⱳ ẋ ẍ ỳ ý ŷ ȳ ẏ ÿ ỷ ẙ ƴ ỵ ɏ ź ẑ ż ž ȥ ẓ ẕ ƶ ɀ ⱬ Þ þ Ɣ ƛ Ɩ ƪ Ʃ Ʊ Ʒ Ǯ Ƹ ƹ Ȝ ȝ ƺ ǯ ƻ Ƽ ƽ ƾ Ƿ ƿ Ȣ ȣ ð ȸ ȹ Ɂ ɂ ꬰ ꬱ ꬲ ꬳ ꬴ ꬵ ꬶ ꬷ ꬸ ꬹ ꬺ ꬻ ꬼ ꬽ ꬾ ꬿ ꭀ ꭁ ꭂ ꭃ ꭄ ꭅ ꭆ ꭇ ꭈ ꭉ ꭊ ꭋ ꭌ ꭍ ꭎ ꭏ ꭐ ꭑ ꭒ ꭓ ꭔ ꭕ ꭖ ꭗ ꭘ ꭙ ꭚ ꭛ ꭜ ꭝ ꭞ ꭟ ꭠ ꭡ ꭢ ꭣ ꭤ ꭥ


Cyrillic

Alphabet
А Б В Г Ґ Д Е Є Ж З И І Ї Й К Л М Н О П Р С Т У Ф Х Ц Ч Ш Щ Ъ Ы Ь Э Ю Я

а б в г ґ д е є ж з и і ї й к л м н о п р с т у ф х ц ч ш щ ъ ы ь э ю я

Accented Cyrillic Characters
Ӑ Ӓ Ӕ Ѓ Ғ Ӷ Ӻ Ҕ Ԁ Ђ Ԃ Ѐ Ё Ӗ Ӂ Ӝ Җ Ӟ Ҙ Ѕ Ӡ Ԑ Ѝ Ӣ Ӥ Ҋ Ј Ԓ Ԕ Ԡ Ԥ Қ Ҝ Ҟ Ҡ Ӄ Ԟ Ӆ Љ Ԉ Ӎ Ӈ Ӊ Ң Ҥ Њ Ԋ Ԣ Ӧ Ө Ӫ Ҧ Ҏ Ԗ Ҫ Ҭ Ҵ Ћ Ќ Ѹ Ү Ұ Ў Ӯ Ӱ Ӳ Ҳ Ӽ Ӿ Ҩ Ѡ Ѻ Ѽ Ѿ Ҷ Ӵ Ҹ Ӌ Ҽ Ҿ Џ Ӹ Ҍ Ӭ Ѥ Ѧ Ѫ Ѩ Ѭ Ѯ Ѱ Ѳ Ѵ Ѷ Ӏ Ҁ Ѣ Ә Ӛ Һ Ԧ Ԅ Ԇ Ԍ Ԏ Ԙ Ԛ Ԝ

ӑ ӓ ӕ ѓ ғ ӷ ӻ ҕ ԁ ђ ԃ ѐ ё ӗ ӂ ӝ җ ӟ ҙ ѕ ӡ ԑ ѝ ӣ ӥ ҋ ј ԓ ԕ ԡ ԥ қ ҝ ҟ ҡ ӄ ԟ ӆ љ ԉ ӎ ӈ ӊ ң ҥ њ ԋ ԣ ӧ ө ӫ ҧ ҏ ԗ ҫ ҭ ҵ ћ ќ ѹ ү ұ ў ӯ ӱ ӳ ҳ ӽ ӿ ҩ ѡ ѻ ѽ ѿ ҷ ӵ ҹ ӌ ҽ ҿ џ ӹ ҍ ӭ ѥ ѧ ѫ ѩ ѭ ѯ ѱ ѳ ѵ ѷ ӏ ҁ ѣ ә ӛ һ ԧ ԅ ԇ ԍ ԏ ԙ ԛ ԝ


Enclosed Characters

Alphabets
🄐 🄑 🄒 🄓 🄔 🄕 🄖 🄗 🄘 🄙 🄚 🄛 🄜 🄝 🄞 🄟 🄠 🄡 🄢 🄣 🄤 🄥 🄦 🄧 🄨 🄩

⒜ ⒝ ⒞ ⒟ ⒠ ⒡ ⒢ ⒣ ⒤ ⒥ ⒦ ⒧ ⒨ ⒩ ⒪ ⒫ ⒬ ⒭ ⒮ ⒯ ⒰ ⒱ ⒲ ⒳ ⒴ ⒵

Ⓐ Ⓑ Ⓒ Ⓓ Ⓔ Ⓕ Ⓖ Ⓗ Ⓘ Ⓙ Ⓚ Ⓛ Ⓜ︎ Ⓝ Ⓞ Ⓟ Ⓠ Ⓡ Ⓢ Ⓣ Ⓤ Ⓥ Ⓦ Ⓧ Ⓨ Ⓩ

ⓐ ⓑ ⓒ ⓓ ⓔ ⓕ ⓖ ⓗ ⓘ ⓙ ⓚ ⓛ ⓜ ⓝ ⓞ ⓟ ⓠ ⓡ ⓢ ⓣ ⓤ ⓥ ⓦ ⓧ ⓨ ⓩ

🄰 🄱 🄲 🄳 🄴 🄵 🄶 🄷 🄸 🄹 🄺 🄻 🄼 🄽 🄾 🄿 🅀 🅁 🅂 🅃 🅄 🅅 🅆 🅇 🅈 🅉

🇦 🇧 🇨 🇩 🇪 🇫 🇬 🇭 🇮 🇯 🇰 🇱 🇲 🇳 🇴 🇵 🇶 🇷 🇸 🇹 🇺 🇻 🇼 🇽 🇾 🇿

🅐 🅑 🅒 🅓 🅔 🅕 🅖 🅗 🅘 🅙 🅚 🅛 🅜 🅝 🅞 🅟 🅠 🅡 🅢 🅣 🅤 🅥 🅦 🅧 🅨 🅩

🅰 🅱 🅲 🅳 🅴 🅵 🅶 🅷 🅸 🅹 🅺 🅻 🅼 🅽 🅾 🅿︎ 🆀 🆁 🆂 🆃 🆄 🆅 🆆 🆇 🆈 🆉

㈀ ㈁ ㈂ ㈃ ㈄ ㈅ ㈆ ㈇ ㈈ ㈉ ㈊ ㈋ ㈌ ㈍ ㈎ ㈏ ㈐ ㈑ ㈒ ㈓ ㈔ ㈕ ㈗ ㈘ ㈙ ㈚ ㈛ ㈜ ㈝ ㈞

㉠ ㉡ ㉢ ㉣ ㉤ ㉥ ㉦ ㉧ ㉨ ㉩ ㉪ ㉫ ㉬ ㉭ ㉮ ㉯ ㉰ ㉱ ㉲ ㉳ ㉴ ㉵ ㉶ ㉷ ㉸ ㉹ ㉺ ㉻ ㉼ ㉽

㈪ ㈫ ㈬ ㈭ ㈮ ㈯ ㈰ ㈱ ㈲ ㈳ ㈴ ㈵ ㈶ ㈷ ㈸ ㈹ ㈺ ㈻ ㈼ ㈽ ㈾ ㈿ ㉀ ㉁ ㉂ ㉃

㊊ ㊋ ㊌ ㊍ ㊎ ㊏ ㊐ ㊑ ㊒ ㊓ ㊔ ㊕ ㊖ ㊗︎ ㊘ ㊙︎ ㊚ ㊛ ㊜ ㊝ ㊞ ㊟ ㊠ ㊡ ㊢ ㊣ ㊤ ㊥ ㊦ ㊧ ㊨ ㊩ ㊪ ㊫ ㊬ ㊭ ㊮ ㊯ ㊰

㋐ ㋑ ㋒ ㋓ ㋔ ㋕ ㋖ ㋗ ㋘ ㋙ ㋚ ㋛ ㋜ ㋝ ㋞ ㋟ ㋠ ㋡ ㋢ ㋣ ㋤ ㋥ ㋦ ㋧ ㋨ ㋩ ㋪ ㋫ ㋬ ㋭ ㋮ ㋯ ㋰ ㋱ ㋲ ㋳ ㋴ ㋵ ㋶ ㋷ ㋸ ㋹ ㋺ ㋻ ㋼ ㋾

Numbers
⒈ ⒉ ⒊ ⒋ ⒌ ⒍ ⒎ ⒏ ⒐ ⒑ ⒒ ⒓ ⒔ ⒕ ⒖ ⒗ ⒘ ⒙ ⒚ ⒛

⑴ ⑵ ⑶ ⑷ ⑸ ⑹ ⑺ ⑻ ⑼ ⑽ ⑾ ⑿ ⒀ ⒁ ⒂ ⒃ ⒄ ⒅ ⒆ ⒇

⓪ ① ② ③ ④ ⑤ ⑥ ⑦ ⑧ ⑨ ⑩ ⑪ ⑫ ⑬ ⑭ ⑮ ⑯ ⑰ ⑱ ⑲ ⑳ ㉑ ㉒ ㉓ ㉔ ㉕ ㉖ ㉗ ㉘ ㉙ ㉚ ㉛ ㉜ ㉝ ㉞ ㉟ ㊱ ㊲ ㊳ ㊴ ㊵ ㊶ ㊷ ㊸ ㊹ ㊺ ㊻ ㊼ ㊽ ㊾ ㊿

⓿ ❶ ❷ ❸ ❹ ❺ ❻ ❼ ❽ ❾ ❿ ⓫ ⓬ ⓭ ⓮ ⓯ ⓰ ⓱ ⓲ ⓳ ⓴

₀ ₁ ₂ ₃ ₄ ₅ ₆ ₇ ₈ ₉ ⁰ ¹ ² ³ ⁴ ⁵ ⁶ ⁷ ⁸ ⁹

Ⅰ Ⅱ Ⅲ Ⅳ Ⅴ Ⅵ Ⅶ Ⅷ Ⅸ Ⅹ Ⅺ Ⅻ ⅰ ⅱ ⅲ ⅳ ⅴ ⅵ ⅶ ⅷ ⅸ ⅹ ⅺ ⅻ Ⅼ Ⅽ Ⅾ Ⅿ ⅼ ⅽ ⅾ ⅿ

零 一 二 三 四 五 六 七 八 九 十 百 千 万 〇

㈠ ㈡ ㈢ ㈣ ㈤ ㈥ ㈦ ㈧ ㈨ ㈩

㊀ ㊁ ㊂ ㊃ ㊄ ㊅ ㊆ ㊇ ㊈ ㊉



Fonts

Sans Serif 4 style

$\symsf{This\ is\ Regular\ mathematical\ font}$

$\symsfit{This\ is\ Italic\ mathematical\ font}$

$\symbfsf{This\ is\ Bold\ mathematical\ font}$

$\symbfsfit{This\ is\ Bold\ Italic\ mathematical\ font}$

Example:

$\huge{\symsf{This\ is\ Regular\ mathematical\ font}}$

$\huge{\symsfit{This\ is\ Italic\ mathematical\ font}}$

$\huge{\symbfsf{This\ is\ Bold\ mathematical\ font}}$

$\huge{\symbfsfit{This\ is\ Bold\ Italic\ mathematical\ font}}$


Sans Serif as Unicod

Regular
𝖠 𝖡 𝖢 𝖣 𝖤 𝖥 𝖦 𝖧 𝖨 𝖩 𝖪 𝖫 𝖬 𝖭 𝖮 𝖯 𝖰 𝖱 𝖲 𝖳 𝖴 𝖵 𝖶 𝖷 𝖸 𝖹

𝖺 𝖻 𝖼 𝖽 𝖾 𝖿 𝗀 𝗁 𝗂 𝗃 𝗄 𝗅 𝗆 𝗇 𝗈 𝗉 𝗊 𝗋 𝗌 𝗍 𝗎 𝗏 𝗐 𝗑 𝗒 𝗓

Italic
𝘈 𝘉 𝘊 𝘋 𝘌 𝘍 𝘎 𝘏 𝘐 𝘑 𝘒 𝘓 𝘔 𝘕 𝘖 𝘗 𝘘 𝘙 𝘚 𝘛 𝘜 𝘝 𝘞 𝘟 𝘠 𝘡

𝘢 𝘣 𝘤 𝘥 𝘦 𝘧 𝘨 𝘩 𝘪 𝘫 𝘬 𝘭 𝘮 𝘯 𝘰 𝘱 𝘲 𝘳 𝘴 𝘵 𝘶 𝘷 𝘸 𝘹 𝘺 𝘻

Bold
𝗔 𝗕 𝗖 𝗗 𝗘 𝗙 𝗚 𝗛 𝗜 𝗝 𝗞 𝗟 𝗠 𝗡 𝗢 𝗣 𝗤 𝗥 𝗦 𝗧 𝗨 𝗩 𝗪 𝗫 𝗬 𝗭

𝗮 𝗯 𝗰 𝗱 𝗲 𝗳 𝗴 𝗵 𝗶 𝗷 𝗸 𝗹 𝗺 𝗻 𝗼 𝗽 𝗾 𝗿 𝘀 𝘁 𝘂 𝘃 𝘄 𝘅 𝘆 𝘇

Bold Italic
𝘼 𝘽 𝘾 𝘿 𝙀 𝙁 𝙂 𝙃 𝙄 𝙅 𝙆 𝙇 𝙈 𝙉 𝙊 𝙋 𝙌 𝙍 𝙎 𝙏 𝙐 𝙑 𝙒 𝙓 𝙔 𝙕

𝙖 𝙗 𝙘 𝙙 𝙚 𝙛 𝙜 𝙝 𝙞 𝙟 𝙠 𝙡 𝙢 𝙣 𝙤 𝙥 𝙦 𝙧 𝙨 𝙩 𝙪 𝙫 𝙬 𝙭 𝙮 𝙯

Numbers
𝟢 𝟣 𝟤 𝟥 𝟦 𝟧 𝟨 𝟩 𝟪 𝟫

𝟬 𝟮 𝟯 𝟰 𝟱 𝟲 𝟳 𝟴 𝟵


Computer Modern 4 style

$\text{This is Regular mathematical font}$

$\textit{This is Italic mathematical font}$

$\textbf{This is Bold mathematical font}$

$\symbfit{This\ is\ Bold\ Italic\ mathematical\ font}$

Example:

$\huge{\text{This is Regular mathematical font}}$

$\huge{\textit{This is Italic mathematical font}}$

$\huge{\textbf{This is Bold mathematical font}}$

$\huge{\symbfit{This\ is\ Bold\ Italic\ mathematical\ font}}$


Computer Modern as Unicod

Italic
𝐴 𝐵 𝐶 𝐷 𝐸 𝐹 𝐺 𝐻 𝐼 𝐽 𝐾 𝐿 𝑀 𝑁 𝑂 𝑃 𝑄 𝑅 𝑆 𝑇 𝑈 𝑉 𝑊 𝑋 𝑌 𝑍

𝑎 𝑏 𝑐 𝑑 𝑒 𝑓 𝑔 ℎ 𝑖 𝚤 𝑗 𝚥 𝑘 𝑙 𝑚 𝑛 𝑜 𝑝 𝑞 𝑟 𝑠 𝑡 𝑢 𝑣 𝑤 𝑥 𝑦 𝑧

Bold
𝐀 𝐁 𝐂 𝐃 𝐄 𝐅 𝐆 𝐇 𝐈 𝐉 𝐊 𝐋 𝐌 𝐍 𝐎 𝐏 𝐐 𝐑 𝐒 𝐓 𝐔 𝐕 𝐖 𝐗 𝐘 𝐙

𝐚 𝐛 𝐜 𝐝 𝐞 𝐟 𝐠 𝐡 𝐢 𝐣 𝐤 𝐥 𝐦 𝐧 𝐨 𝐩 𝐪 𝐫 𝐬 𝐭 𝐮 𝐯 𝐰 𝐱 𝐲 𝐳

Bold Italic
𝑨 𝑩 𝑪 𝑫 𝑬 𝑭 𝑮 𝑯 𝑰 𝑱 𝑲 𝑳 𝑴 𝑵 𝑶 𝑷 𝑸 𝑹 𝑺 𝑻 𝑼 𝑽 𝑾 𝑿 𝒀 𝒁

𝒂 𝒃 𝒄 𝒅 𝒆 𝒇 𝒈 𝒉 𝒊 𝒋 𝒌 𝒍 𝒎 𝒏 𝒐 𝒑 𝒒 𝒓 𝒔 𝒕 𝒖 𝒗 𝒘 𝒙 𝒚 𝒛

Numbers
𝟎 𝟏 𝟐 𝟑 𝟒 𝟓 𝟔 𝟕 𝟖 𝟗


Script 2 style

$\huge{\symscr{This\ is\ Script\ mathematical\ font}}$

$\symbfscr{This\ is\ Bold\ mathematical\ font}$

Example:

$\huge{\symscr{This\ is\ Script\ mathematical\ font}}$

$\huge{\symbfscr{This\ is\ Bold\ mathematical\ font}}$


Script as Unicod

Regular
𝒜 ℬ 𝒞 𝒟 ℰ ℱ 𝒢 ℋ ℐ 𝒥 𝒦 ℒ ℳ 𝒩 𝒪 𝒫 𝒬 ℛ 𝒮 𝒯 𝒰 𝒱 𝒲 𝒳 𝒴 𝒵

𝒶 𝒷 𝒸 𝒹 ℯ 𝒻 ℊ 𝒽 𝒾 𝒿 𝓀 𝓁 𝓂 𝓃 ℴ 𝓅 𝓆 𝓇 𝓈 𝓉 𝓊 𝓋 𝓌 𝓍 𝓎 𝓏

Bold
𝓐 𝓑 𝓒 𝓓 𝓔 𝓕 𝓖 𝓗 𝓘 𝓙 𝓚 𝓛 𝓜 𝓝 𝓞 𝓟 𝓠 𝓡 𝓢 𝓣 𝓤 𝓥 𝓦 𝓧 𝓨 𝓩

𝓪 𝓫 𝓬 𝓭 𝓮 𝓯 𝓰 𝓱 𝓲 𝓳 𝓴 𝓵 𝓶 𝓷 𝓸 𝓹 𝓺 𝓻 𝓼 𝓽 𝓾 𝓿 𝔀 𝔁 𝔂 𝔃


Fraktur 2 style

$\symfrak{This\ is\ Regular\ mathematical\ font}$

$\symbffrak{This\ is\ Bold\ mathematical\ font}$

Example:

$\huge{\symfrak{This\ is\ Regular\ mathematical\ font}}$

$\huge{\symbffrak{This\ is\ Bold\ mathematical\ font}}$


Fraktur as Unicod

Regular
𝔄 𝔅 ℭ 𝔇 𝔈 𝔉 𝔊 ℌ ℑ 𝔍 𝔎 𝔏 𝔐 𝔑 𝔒 𝔓 𝔔 ℜ 𝔖 𝔗 𝔘 𝔙 𝔚 𝔛 𝔜 ℨ

𝔞 𝔟 𝔠 𝔡 𝔢 𝔣 𝔤 𝔥 𝔦 𝔧 𝔨 𝔩 𝔪 𝔫 𝔬 𝔭 𝔮 𝔯 𝔰 𝔱 𝔲 𝔳 𝔴 𝔵 𝔶 𝔷

Bold
𝕬 𝕭 𝕮 𝕯 𝕰 𝕱 𝕲 𝕳 𝕴 𝕵 𝕶 𝕷 𝕸 𝕹 𝕺 𝕻 𝕼 𝕽 𝕾 𝕿 𝖀 𝖁 𝖂 𝖃 𝖄 𝖅

𝖆 𝖇 𝖈 𝖉 𝖊 𝖋 𝖌 𝖍 𝖎 𝖏 𝖐 𝖑 𝖒 𝖓 𝖔 𝖕 𝖖 𝖗 𝖘 𝖙 𝖚 𝖛 𝖜 𝖝 𝖞 𝖟


Blackboard 1 style

$\symbb{This\ is\ Regular\ mathematical\ font}$

Example:

$\huge{\symbb{This\ is\ Regular\ mathematical\ font}}$


Blackboard as Unicod

Regular
𝔸 𝔹 ℂ 𝔻 𝔼 𝔽 𝔾 ℍ 𝕀 𝕁 𝕂 𝕃 𝕄 ℕ 𝕆 ℙ ℚ ℝ 𝕊 𝕋 𝕌 𝕍 𝕎 𝕏 𝕐 ℤ

𝕒 𝕓 𝕔 𝕕 𝕖 𝕗 𝕘 𝕙 𝕚 𝕛 𝕜 𝕝 𝕞 𝕟 𝕠 𝕡 𝕢 𝕣 𝕤 𝕥 𝕦 𝕧 𝕨 𝕩 𝕪 𝕫

Numbers
𝟘 𝟙 𝟚 𝟛 𝟜 𝟝 𝟞 𝟟 𝟠 𝟡


Monospace 1 style

$\symtt{This\ is\ Regular\ mathematical\ font}$

Example:

$\huge{\symtt{This\ is\ Regular\ mathematical\ font}}$


Monospace as Unicod

Regular
𝙰 𝙱 𝙲 𝙳 𝙴 𝙵 𝙶 𝙷 𝙸 𝙹 𝙺 𝙻 𝙼 𝙽 𝙾 𝙿 𝚀 𝚁 𝚂 𝚃 𝚄 𝚅 𝚆 𝚇 𝚈 𝚉

𝚊 𝚋 𝚌 𝚍 𝚎 𝚏 𝚐 𝚑 𝚒 𝚓 𝚔 𝚕 𝚖 𝚗 𝚘 𝚙 𝚚 𝚛 𝚜 𝚝 𝚞 𝚟 𝚠 𝚡 𝚢 𝚣

Numbers
𝟶 𝟷 𝟸 𝟹 𝟺 𝟻 𝟼 𝟽 𝟾 𝟿


Font Size

Use \Huge, \huge, \LARGE, \Large, \large, \normalsize, \small, \scriptsize, \tiny to set font size.

$\Huge{\textsf{First level size}}$

$\huge{\textsf{Second level size}}$

$\LARGE{\textsf{Third level size}}$

$\Large{\textsf{Fourth level size}}$

$\large{\textsf{Fifth level size}}$

$\normalsize{\textsf{Sixth level size}}$

$\small{\textsf{Level level size}}$

$\scriptsize{\textsf{Eighth level size}}$

$\tiny{\textsf{Ninth level size}}$
Or use a # before the line.

# $\textsf{First level size}$

## $\textsf{Second level size}$

### $\textsf{Third level size}$

#### $\textsf{Fourth level size}$

##### $\textsf{Fifth level size}$

###### $\textsf{Sixth level size}$

Example:

$\Huge{\textsf{First level size}}$

$\huge{\textsf{Second level size}}$

$\LARGE{\textsf{Third level size}}$

$\Large{\textsf{Fourth level size}}$

$\large{\textsf{Fifth level size}}$

$\normalsize{\textsf{Sixth level size}}$

$\small{\textsf{Level level size}}$

$\scriptsize{\textsf{Eighth level size}}$

$\tiny{\textsf{Ninth level size}}$


Text Color

To use colors you can use \color or \textcolor.

You can use the color name, hex, rgb, rgba, rgba, hsl, hsla.

$\color{brown}{\textsf{Text Color 1}}$

$\textcolor{red}{\textsf{Text Color 2}}$

$\color{#ff3d6a}{\textsf{Text Color 3}}$

$\color{rgb(255,132,61)}{\textsf{Text Color 4}}$

$\color{rgba(255,236,61, 0.6)}{\textsf{Text Color 5}}$

$\color{hsl(86,100%,62%)}{\textsf{Text Color 6}}$

$\color{hsla(189,100%,62%, 0.4)}{\textsf{Text Color 7}}$

or

$\textsf{\Huge{{\color[rgb]{0.0, 0.0, 1.0}Yo}{\color[rgb]{0.1, 0.0, 0.9}u~ }{\color[rgb]{0.2, 0.0, 0.8}c}{\color[rgb]{0.3, 0.0, 0.7}a}{\color[rgb]{0.4, 0.0, 0.6}n~ }{\color[rgb]{0.5, 0.0, 0.5}do~ }{\color[rgb]{0.6, 0.0, 0.4}th}{\color[rgb]{0.7, 0.0, 0.3}is~ }{\color[rgb]{0.8, 0.0, 0.2}t}{\color[rgb]{0.9, 0.0, 0.1}o}{\color[rgb]{1.0, 0.0, 0.0}o}}}$

Example:

$\color{brown}{\textsf{Text Color 1}}$

$\textcolor{red}{\textsf{Text Color 2}}$

$\color{#ff3d6a}{\textsf{Text Color 3}}$

$\color{rgb(255,132,61)}{\textsf{Text Color 4}}$

$\color{rgba(255,236,61, 0.6)}{\textsf{Text Color 5}}$

$\color{hsl(86,100%,62%)}{\textsf{Text Color 6}}$

$\color{hsla(189,100%,62%, 0.4)}{\textsf{Text Color 7}}$

or

$\textsf{\Huge{{\color[rgb]{0.0, 0.0, 1.0}Yo}{\color[rgb]{0.1, 0.0, 0.9}u~ }{\color[rgb]{0.2, 0.0, 0.8}c}{\color[rgb]{0.3, 0.0, 0.7}a}{\color[rgb]{0.4, 0.0, 0.6}n~ }{\color[rgb]{0.5, 0.0, 0.5}do~ }{\color[rgb]{0.6, 0.0, 0.4}th}{\color[rgb]{0.7, 0.0, 0.3}is~ }{\color[rgb]{0.8, 0.0, 0.2}t}{\color[rgb]{0.9, 0.0, 0.1}o}{\color[rgb]{1.0, 0.0, 0.0}o}}}$


Text In Box

$\fbox{\textsf{Text Box}}$

or

$\color{#9d3dff}\fbox{{\textsf{Text Box with Color}}}$

Example:

$\fbox{\textsf{Text Box}}$

or

$\color{#9d3dff}\fbox{{\textsf{Text Box with Color}}}$


Superscript

$\symbffrak{This\ is\ a\ ^{\symsfit{superscript}}\ text}$

Example:

$\symbffrak{This\ is\ a\ ^{\symsfit{superscript}}\ text}$


Subscript

$\symbf{This\ is\ a\ _{\symtt{subscript}}\ text}$

Example:

$\symbf{This\ is\ a\ _{\symtt{subscript}}\ text}$


Annotation Symbols

$\bar{y}$
$\hat{y}$
$\check{y}$
$\tilde{y}$
$\dot{y}$
$\ddot{y}$

Custom Symbols

$\stackrel{𖩯}{y}$
$\stackrel{⟷}{y}$
$\stackrel{👑}{y}$

Example:

$\bar{y}$ $\hat{y}$ $\check{y}$ $\tilde{y}$ $\dot{y}$ $\ddot{y}$

Custom Symbols

$\stackrel{𖩯}{y}$ $\stackrel{⟷}{y}$ $\stackrel{👑}{y}$



You can render LaTeX mathematical expressions using MathJax.

To add a mathematical expression, input $$ and press the 'Return' key. This will trigger an input field which accepts Tex/LaTex source. For example:

$\sqrt{3x-1}+(1+x)^2$

Example:

$\sqrt{3x-1}+(1+x)^2$


Place it in the center

$$
\Gamma(z) = \int_0^\infty t^{z-1}e^{-t}dt\,.
$$

Example:

$$ \Gamma(z) = \int_0^\infty t^{z-1}e^{-t}dt,. $$


$$
\mathbf{V}_1 \times \mathbf{V}_2 =  \begin{vmatrix}
\mathbf{i} & \mathbf{j} & \mathbf{k} \\
\frac{\partial X}{\partial u} &  \frac{\partial Y}{\partial u} & 0 \\
\frac{\partial X}{\partial v} &  \frac{\partial Y}{\partial v} & 0 \\
\end{vmatrix}
$$

Example:

$$ \mathbf{V}_1 \times \mathbf{V}_2 = \begin{vmatrix} \mathbf{i} & \mathbf{j} & \mathbf{k} \\ \frac{\partial X}{\partial u} & \frac{\partial Y}{\partial u} & 0 \\ \frac{\partial X}{\partial v} & \frac{\partial Y}{\partial v} & 0 \\ \end{vmatrix} $$


Tip

If some formulas are not displayed, use https://latex.codecogs.com



Class Diagram

```mermaid
graph TD;
A[One]
B[Two]
C[Three]
D[Four]

A --> B
B --> C
C --> D
```

Example:

graph TD;
A[One]
B[Two]
C[Three]
D[Four]

A --> B
B --> C
C --> D
Loading

Flowchart Diagram

```mermaid
graph TD;
    A-->B;
    A-->C;
    B-->D;
    C-->D;
```

Example:

graph TD;
    A-->B;
    A-->C;
    B-->D;
    C-->D;
Loading

Basic Flowchart

```mermaid
graph LR
A[Square Rect] -- Link text --> B((Circle))
A --> C(Round Rect)
B --> D{Rhombus}
C --> D
```

Example:

graph LR
A[Square Rect] -- Link text --> B((Circle))
A --> C(Round Rect)
B --> D{Rhombus}
C --> D
Loading

Sequence Diagram

```mermaid
sequenceDiagram
Alice ->> Bob: Hello Bob, how are you?
Bob-->>John: How about you John?
Bob--x Alice: I am good thanks!
Bob-x John: I am good thanks!
Note right of John: Bob thinks a long<br/>long time, so long<br/>that the text does<br/>not fit on a row.

Bob-->Alice: Checking with John...
Alice->John: Yes... John, how are you?
```

Example:

sequenceDiagram
Alice ->> Bob: Hello Bob, how are you?
Bob-->>John: How about you John?
Bob--x Alice: I am good thanks!
Bob-x John: I am good thanks!
Note right of John: Bob thinks a long<br/>long time, so long<br/>that the text does<br/>not fit on a row.

Bob-->Alice: Checking with John...
Alice->John: Yes... John, how are you?
Loading

User Journey Diagram

```mermaid
journey
    title My working day
    section Go to work
      Make tea: 5: Me
      Go upstairs: 3: Me
      Do work: 1: Me, Cat
    section Go home
      Go downstairs: 5: Me
      Sit down: 5: Me
```

Example:

journey
    title My working day
    section Go to work
      Make tea: 5: Me
      Go upstairs: 3: Me
      Do work: 1: Me, Cat
    section Go home
      Go downstairs: 5: Me
      Sit down: 5: Me
Loading


Git Graph

```mermaid
    gitGraph
       commit
       commit
       branch develop
       commit
       commit
       commit
       checkout main
       commit
       commit
```

Example:

    gitGraph
       commit
       commit
       branch develop
       commit
       commit
       commit
       checkout main
       commit
       commit
Loading

Quadrant Chart

```mermaid
quadrantChart
    title Reach and engagement of campaigns
    x-axis Low Reach --> High Reach
    y-axis Low Engagement --> High Engagement
    quadrant-1 We should expand
    quadrant-2 Need to promote
    quadrant-3 Re-evaluate
    quadrant-4 May be improved
    Campaign A: [0.3, 0.6]
    Campaign B: [0.45, 0.23]
    Campaign C: [0.57, 0.69]
    Campaign D: [0.78, 0.34]
    Campaign E: [0.40, 0.34]
    Campaign F: [0.35, 0.78]
```

Example:

quadrantChart
    title Reach and engagement of campaigns
    x-axis Low Reach --> High Reach
    y-axis Low Engagement --> High Engagement
    quadrant-1 We should expand
    quadrant-2 Need to promote
    quadrant-3 Re-evaluate
    quadrant-4 May be improved
    Campaign A: [0.3, 0.6]
    Campaign B: [0.45, 0.23]
    Campaign C: [0.57, 0.69]
    Campaign D: [0.78, 0.34]
    Campaign E: [0.40, 0.34]
    Campaign F: [0.35, 0.78]
Loading

XY Chart

```mermaid
xychart-beta
    title "Sales Revenue"
    x-axis [jan, feb, mar, apr, may, jun, jul, aug, sep, oct, nov, dec]
    y-axis "Revenue (in $)" 4000 --> 11000
    bar [5000, 6000, 7500, 8200, 9500, 10500, 11000, 10200, 9200, 8500, 7000, 6000]
    line [5000, 6000, 7500, 8200, 9500, 10500, 11000, 10200, 9200, 8500, 7000, 6000]
```

Example:

xychart-beta
    title "Sales Revenue"
    x-axis [jan, feb, mar, apr, may, jun, jul, aug, sep, oct, nov, dec]
    y-axis "Revenue (in $)" 4000 --> 11000
    bar [5000, 6000, 7500, 8200, 9500, 10500, 11000, 10200, 9200, 8500, 7000, 6000]
    line [5000, 6000, 7500, 8200, 9500, 10500, 11000, 10200, 9200, 8500, 7000, 6000]
Loading

Gantt Chart

```mermaid
gantt
    title Profit and Discount by Product
    dateFormat  X
    section Product 1
    Profit :done, p1profit, 0, 48
    Discount :done, p1discount, 48, 26
    section Product 2
    Profit :done, p2profit, 0, 30
    Discount :done, p2discount, 30, 15
    section Product 3
    Profit :done, p3profit, 0, 28
    Discount :done, p3discount, 28, 13
    section Product 4
    Profit :done, p4profit, 0, 23
    Discount :done, p4discount, 23, 16
    section Product 5
    Profit :done, p5profit, 0, 21
    Discount :done, p5discount, 21, 12
    section Product 6
    Profit :done, p6profit, 0, 18
    Discount :done, p6discount, 18, 11
```

Example:

gantt
    title Profit and Discount by Product
    dateFormat  X
    section Product 1
    Profit :done, p1profit, 0, 48
    Discount :done, p1discount, 48, 26
    section Product 2
    Profit :done, p2profit, 0, 30
    Discount :done, p2discount, 30, 15
    section Product 3
    Profit :done, p3profit, 0, 28
    Discount :done, p3discount, 28, 13
    section Product 4
    Profit :done, p4profit, 0, 23
    Discount :done, p4discount, 23, 16
    section Product 5
    Profit :done, p5profit, 0, 21
    Discount :done, p5discount, 21, 12
    section Product 6
    Profit :done, p6profit, 0, 18
    Discount :done, p6discount, 18, 11
Loading

```mermaid
%% Example Syntax
gantt
dateFormat  YYYY-MM-DD
title Software Development
    section Design
        Requirements                 :done,    des1, 2014-01-06,2014-01-08
        Prototype                    :active,  des2, 2014-01-09, 3d
        UI Design                    :         des3, after des2, 5d
        Future Tasks                 :         des4, after des3, 5d
    section Development
        Understanding Requirements   :crit,    done, 2014-01-06,24h
        Design Framework             :crit,    done, after des2, 2d
        Development                  :crit,    active, 3d
        Future Tasks                 :crit,    5d
        Play                         :2d
    section Testing
        Functionality Testing        :active,  a1, after des3, 3d
        Stress Testing               :after    a1, 20h
        Testing Report               :         48h
```

Example:

%% Example Syntax
gantt
dateFormat  YYYY-MM-DD
title Software Development
    section Design
        Requirements                 :done,    des1, 2014-01-06,2014-01-08
        Prototype                    :active,  des2, 2014-01-09, 3d
        UI Design                    :         des3, after des2, 5d
        Future Tasks                 :         des4, after des3, 5d
    section Development
        Understanding Requirements   :crit,    done, 2014-01-06,24h
        Design Framework             :crit,    done, after des2, 2d
        Development                  :crit,    active, 3d
        Future Tasks                 :crit,    5d
        Play                         :2d
    section Testing
        Functionality Testing        :active,  a1, after des3, 3d
        Stress Testing               :after    a1, 20h
        Testing Report               :         48h
Loading

Pie Chart

```mermaid
%%{init: {"pie": {"textPosition": 0.5}, "themeVariables": {"pieOuterStrokeWidth": "5px"}} }%%
pie showData
    title Key elements in Product X
    "Calcium" : 42.96
    "Potassium" : 50.05
    "Magnesium" : 10.01
    "Iron" :  5
```

Example:

%%{init: {"pie": {"textPosition": 0.5}, "themeVariables": {"pieOuterStrokeWidth": "5px"}} }%%
pie showData
    title Key elements in Product X
    "Calcium" : 42.96
    "Potassium" : 50.05
    "Magnesium" : 10.01
    "Iron" :  5
Loading

Tip

For more different diagrams and charts, look Mermaid.

If you need more complex and charts, you can do it on:

And then paste the pictures into your Markdown file.



You can use GeoJSON or TopoJSON syntax to create interactive maps. To create a map, add GeoJSON or TopoJSON inside a fenced code block with the geojson or topojson syntax identifier.

Using GeoJSON

```geojson
{
  "type": "FeatureCollection",
  "features": [
    {
      "type": "Feature",
      "id": 1,
      "properties": {
        "ID": 0
      },
      "geometry": {
        "type": "Polygon",
        "coordinates": [
          [
              [-90,35],
              [-90,30],
              [-85,30],
              [-85,35],
              [-90,35]
          ]
        ]
      }
    }
  ]
}
```

Example:

{
  "type": "FeatureCollection",
  "features": [
    {
      "type": "Feature",
      "id": 1,
      "properties": {
        "ID": 0
      },
      "geometry": {
        "type": "Polygon",
        "coordinates": [
          [
              [-90,35],
              [-90,30],
              [-85,30],
              [-85,35],
              [-90,35]
          ]
        ]
      }
    }
  ]
}
Loading

Using TopoJSON

For example, you can create a TopoJSON map by specifying coordinates and shapes.

```topojson
{
  "type": "Topology",
  "transform": {
    "scale": [0.0005000500050005, 0.00010001000100010001],
    "translate": [100, 0]
  },
  "objects": {
    "example": {
      "type": "GeometryCollection",
      "geometries": [
        {
          "type": "Point",
          "properties": {"prop0": "value0"},
          "coordinates": [4000, 5000]
        },
        {
          "type": "LineString",
          "properties": {"prop0": "value0", "prop1": 0},
          "arcs": [0]
        },
        {
          "type": "Polygon",
          "properties": {"prop0": "value0",
            "prop1": {"this": "that"}
          },
          "arcs": [[1]]
        }
      ]
    }
  },
  "arcs": [[[4000, 0], [1999, 9999], [2000, -9999], [2000, 9999]],[[0, 0], [0, 9999], [2000, 0], [0, -9999], [-2000, 0]]]
}
```

Example:

{
  "type": "Topology",
  "transform": {
    "scale": [0.0005000500050005, 0.00010001000100010001],
    "translate": [100, 0]
  },
  "objects": {
    "example": {
      "type": "GeometryCollection",
      "geometries": [
        {
          "type": "Point",
          "properties": {"prop0": "value0"},
          "coordinates": [4000, 5000]
        },
        {
          "type": "LineString",
          "properties": {"prop0": "value0", "prop1": 0},
          "arcs": [0]
        },
        {
          "type": "Polygon",
          "properties": {"prop0": "value0",
            "prop1": {"this": "that"}
          },
          "arcs": [[1]]
        }
      ]
    }
  },
  "arcs": [[[4000, 0], [1999, 9999], [2000, -9999], [2000, 9999]],[[0, 0], [0, 9999], [2000, 0], [0, -9999], [-2000, 0]]]
}
Loading


You can use ASCII STL syntax directly in markdown to create interactive 3D models. To display a model, add ASCII STL syntax inside a fenced code block with the stl syntax identifier.

For example, you can create a simple 3D model:

```stl
solid cube_corner
  facet normal 0.0 -1.0 0.0
    outer loop
      vertex 0.0 0.0 0.0
      vertex 1.0 0.0 0.0
      vertex 0.0 0.0 1.0
    endloop
  endfacet
  facet normal 0.0 0.0 -1.0
    outer loop
      vertex 0.0 0.0 0.0
      vertex 0.0 1.0 0.0
      vertex 1.0 0.0 0.0
    endloop
  endfacet
  facet normal -1.0 0.0 0.0
    outer loop
      vertex 0.0 0.0 0.0
      vertex 0.0 0.0 1.0
      vertex 0.0 1.0 0.0
    endloop
  endfacet
  facet normal 0.577 0.577 0.577
    outer loop
      vertex 1.0 0.0 0.0
      vertex 0.0 1.0 0.0
      vertex 0.0 0.0 1.0
    endloop
  endfacet
endsolid
```

Example:

Preview
solid cube_corner
  facet normal 0.0 -1.0 0.0
    outer loop
      vertex 0.0 0.0 0.0
      vertex 1.0 0.0 0.0
      vertex 0.0 0.0 1.0
    endloop
  endfacet
  facet normal 0.0 0.0 -1.0
    outer loop
      vertex 0.0 0.0 0.0
      vertex 0.0 1.0 0.0
      vertex 1.0 0.0 0.0
    endloop
  endfacet
  facet normal -1.0 0.0 0.0
    outer loop
      vertex 0.0 0.0 0.0
      vertex 0.0 0.0 1.0
      vertex 0.0 1.0 0.0
    endloop
  endfacet
  facet normal 0.577 0.577 0.577
    outer loop
      vertex 1.0 0.0 0.0
      vertex 0.0 1.0 0.0
      vertex 0.0 0.0 1.0
    endloop
  endfacet
endsolid
Loading

You can create a 3D model in Blender and export to STL.

Created in Blender

Preview
solid markdown
facet normal 0.000000 1.000000 0.000000
outer loop
vertex 7.050000 1.499999 5.800001
vertex 10.450000 1.499999 5.800001
vertex 10.450000 1.500000 -0.200000
endloop
endfacet
facet normal 0.000000 1.000000 0.000000
outer loop
vertex 10.450000 1.500000 -0.200000
vertex 13.850000 1.500000 -0.200000
vertex 8.850000 1.500001 -6.000000
endloop
endfacet
facet normal 0.000000 1.000000 0.000000
outer loop
vertex 8.850000 1.500001 -6.000000
vertex 3.650000 1.500000 -0.300000
vertex 7.050000 1.500000 -0.300000
endloop
endfacet
facet normal -0.000000 1.000000 0.000000
outer loop
vertex 7.050000 1.500000 -0.300000
vertex 7.050000 1.499999 5.800001
vertex 10.450000 1.500000 -0.200000
endloop
endfacet
facet normal -0.000000 1.000000 0.000000
outer loop
vertex 10.450000 1.500000 -0.200000
vertex 8.850000 1.500001 -6.000000
vertex 7.050000 1.500000 -0.300000
endloop
endfacet
facet normal 0.000000 1.000000 0.000000
outer loop
vertex 0.950000 1.499999 5.900001
vertex 0.950000 1.500001 -5.900000
vertex -2.450000 1.500001 -5.900000
endloop
endfacet
facet normal 0.000000 1.000000 0.000000
outer loop
vertex -2.450000 1.500000 0.900000
vertex -5.850000 1.500001 -3.400000
vertex -9.250000 1.500000 0.900000
endloop
endfacet
facet normal 0.000000 1.000000 0.000000
outer loop
vertex 0.950000 1.499999 5.900001
vertex -2.450000 1.500001 -5.900000
vertex -2.450000 1.500000 0.900000
endloop
endfacet
facet normal 0.000000 1.000000 0.000000
outer loop
vertex -5.950000 1.500000 1.600000
vertex -2.550000 1.499999 5.900001
vertex 0.950000 1.499999 5.900001
endloop
endfacet
facet normal 0.000000 1.000000 0.000000
outer loop
vertex -12.750000 1.499999 5.900001
vertex -9.350000 1.499999 5.900001
vertex -5.950000 1.500000 1.600000
endloop
endfacet
facet normal -0.000000 1.000000 0.000000
outer loop
vertex -9.250000 1.500001 -5.900000
vertex -12.750000 1.500001 -6.000000
vertex -12.750000 1.499999 5.900001
endloop
endfacet
facet normal -0.000000 1.000000 0.000000
outer loop
vertex -9.250000 1.500000 0.900000
vertex -9.250000 1.500001 -5.900000
vertex -12.750000 1.499999 5.900001
endloop
endfacet
facet normal -0.000000 1.000000 0.000000
outer loop
vertex -5.950000 1.500000 1.600000
vertex 0.950000 1.499999 5.900001
vertex -2.450000 1.500000 0.900000
endloop
endfacet
facet normal 0.000000 1.000000 0.000000
outer loop
vertex -9.250000 1.500000 0.900000
vertex -12.750000 1.499999 5.900001
vertex -5.950000 1.500000 1.600000
endloop
endfacet
facet normal 0.000000 1.000000 0.000001
outer loop
vertex -2.450000 1.500000 0.900000
vertex -9.250000 1.500000 0.900000
vertex -5.950000 1.500000 1.600000
endloop
endfacet
facet normal 0.000000 -1.000000 -0.000000
outer loop
vertex 7.050000 -1.500000 -0.300000
vertex 3.650000 -1.500000 -0.300000
vertex 8.850000 -1.499999 -6.000000
endloop
endfacet
facet normal 0.000000 -1.000000 -0.000000
outer loop
vertex 8.850000 -1.499999 -6.000000
vertex 13.850000 -1.500000 -0.200000
vertex 10.450000 -1.500000 -0.200000
endloop
endfacet
facet normal 0.000000 -1.000000 -0.000000
outer loop
vertex 10.450000 -1.500000 -0.200000
vertex 10.450000 -1.500001 5.800000
vertex 7.050000 -1.500001 5.800000
endloop
endfacet
facet normal 0.000000 -1.000000 -0.000000
outer loop
vertex 7.050000 -1.500001 5.800000
vertex 7.050000 -1.500000 -0.300000
vertex 8.850000 -1.499999 -6.000000
endloop
endfacet
facet normal -0.000000 -1.000000 -0.000000
outer loop
vertex 8.850000 -1.499999 -6.000000
vertex 10.450000 -1.500000 -0.200000
vertex 7.050000 -1.500001 5.800000
endloop
endfacet
facet normal 0.000000 -1.000000 -0.000000
outer loop
vertex 0.950000 -1.500001 5.900000
vertex -2.550000 -1.500001 5.900000
vertex -5.950000 -1.500000 1.600000
endloop
endfacet
facet normal 0.000000 -1.000000 -0.000000
outer loop
vertex -5.950000 -1.500000 1.600000
vertex -9.350000 -1.500001 5.900000
vertex -12.750000 -1.500001 5.900000
endloop
endfacet
facet normal 0.000000 -1.000000 -0.000000
outer loop
vertex -12.750000 -1.500001 5.900000
vertex -12.750000 -1.499999 -6.000000
vertex -9.250000 -1.499999 -5.900001
endloop
endfacet
facet normal 0.000000 -1.000000 -0.000000
outer loop
vertex -9.250000 -1.500000 0.900000
vertex -5.850000 -1.499999 -3.400000
vertex -2.450000 -1.500000 0.900000
endloop
endfacet
facet normal 0.000000 -1.000000 -0.000000
outer loop
vertex -12.750000 -1.500001 5.900000
vertex -9.250000 -1.499999 -5.900001
vertex -9.250000 -1.500000 0.900000
endloop
endfacet
facet normal -0.000000 -1.000000 -0.000000
outer loop
vertex -5.950000 -1.500000 1.600000
vertex -12.750000 -1.500001 5.900000
vertex -9.250000 -1.500000 0.900000
endloop
endfacet
facet normal 0.000000 -1.000000 -0.000000
outer loop
vertex -2.450000 -1.500000 0.900000
vertex -2.450000 -1.499999 -5.900001
vertex 0.950000 -1.499999 -5.900001
endloop
endfacet
facet normal 0.000000 -1.000000 -0.000000
outer loop
vertex -5.950000 -1.500000 1.600000
vertex -9.250000 -1.500000 0.900000
vertex -2.450000 -1.500000 0.900000
endloop
endfacet
facet normal -0.000000 -1.000000 -0.000000
outer loop
vertex -2.450000 -1.500000 0.900000
vertex 0.950000 -1.499999 -5.900001
vertex 0.950000 -1.500001 5.900000
endloop
endfacet
facet normal 0.000000 -1.000000 -0.000000
outer loop
vertex -5.950000 -1.500000 1.600000
vertex -2.450000 -1.500000 0.900000
vertex 0.950000 -1.500001 5.900000
endloop
endfacet
facet normal -0.000000 1.000000 0.000000
outer loop
vertex 15.655652 1.500002 -9.446509
vertex 16.232994 1.500002 -10.945470
vertex 15.934789 1.500002 -11.033381
endloop
endfacet
facet normal -0.000000 1.000000 0.000000
outer loop
vertex 15.655652 1.500002 -9.446509
vertex 15.934789 1.500002 -11.033381
vertex 15.552428 1.500002 -9.476939
endloop
endfacet
facet normal -0.000000 1.000000 0.000000
outer loop
vertex 15.552428 1.500002 -9.476939
vertex 15.934789 1.500002 -11.033381
vertex 15.638469 1.500002 -11.083948
endloop
endfacet
facet normal -0.000000 1.000000 0.000000
outer loop
vertex 15.552428 1.500002 -9.476939
vertex 15.638469 1.500002 -11.083948
vertex 15.449855 1.500002 -9.494444
endloop
endfacet
facet normal -0.000000 1.000000 0.000000
outer loop
vertex 15.449855 1.500002 -9.494444
vertex 15.638469 1.500002 -11.083948
vertex 15.350000 1.500002 -11.100000
endloop
endfacet
facet normal -0.000000 1.000000 0.000000
outer loop
vertex 15.449855 1.500002 -9.494444
vertex 15.350000 1.500002 -11.100000
vertex 15.350000 1.500002 -9.500000
endloop
endfacet
facet normal -0.055561 0.000000 0.998455
outer loop
vertex -15.638469 1.499998 11.083948
vertex -15.638469 -1.500002 11.083948
vertex -15.350000 -1.500002 11.100000
endloop
endfacet
facet normal -0.055561 0.000000 0.998455
outer loop
vertex -15.638469 1.499998 11.083948
vertex -15.350000 -1.500002 11.100000
vertex -15.350000 1.499998 11.100000
endloop
endfacet
facet normal 0.028560 0.000000 -0.999592
outer loop
vertex -9.250000 -1.499999 -5.900001
vertex -12.750000 -1.499999 -6.000000
vertex -12.750000 1.500001 -6.000000
endloop
endfacet
facet normal 0.028559 0.000000 -0.999592
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