Kitchen Sink#

This page demonstrates every element the theme styles, useful for visual testing.

Typography#

Headings#

Heading styles are shown by the structure of this page. For reference, the raw Markdown syntax:

# Heading 1
## Heading 2
### Heading 3
#### Heading 4
##### Heading 5
###### Heading 6

Prose#

This is a paragraph with emphasis text and strong text and inline code. Here is a link to somewhere.

This is a blockquote. It can contain emphasis and strong text.

Lists#

Unordered#

First item
Second item
- Nested item
- Another nested item
Third item

Ordered#

First step
Second step
Third step

Definition List#

Term 1 : Definition of term 1

Term 2 : Definition of term 2

Mathematics#

Inline math: \(E[X] = \int x f(x) dx\)

Display math:

\[ \hat{\beta} = (X'X)^{-1}X'y \]

Using macros:

\[ \EE[X_t | \mathcal{F}_{t-1}] = X_{t-1} \quad \text{a.s.} \]

Code#

Python#

import numpy as np
import matplotlib.pyplot as plt

def markov_chain(P, x0, T):
    """Simulate a Markov chain."""
    path = np.zeros(T, dtype=int)
    path[0] = x0
    for t in range(1, T):
        path[t] = np.random.choice(len(P), p=P[path[t-1]])
    return path

P = np.array([[0.9, 0.1],
              [0.3, 0.7]])

path = markov_chain(P, 0, 100)
print(f"Terminal state: {path[-1]}")

JavaScript#

const fibonacci = (n) => {
  if (n <= 1) return n;
  return fibonacci(n - 1) + fibonacci(n - 2);
};

console.log(fibonacci(10)); // 55

Admonitions#

Note

This is a note admonition. It provides additional information.

Tip

This is a tip. It suggests a best practice or shortcut.

Warning

This is a warning. Pay attention to this.

Danger

This is a danger admonition. Something could go seriously wrong.

Important

This is important information you should not miss.

Tables#

Method	Time Complexity	Space Complexity
Brute force	\(O(n^2)\)	\(O(1)\)
Dynamic programming	\(O(n)\)	\(O(n)\)
Greedy	\(O(n \log n)\)	\(O(1)\)

Images#

Placeholder figure — This is a figure caption describing the image above.#

Footnotes#

This sentence has a footnote[1].