Formatting Masterpost

The summary is cut off after this sentence manually using the !--more--, but wrapped with <>.

Here are some headers:

Standard Stylings

Here are some words in various styling. Bold words, as well as italicized words words that have both bold and italic formatting, as well as some stuff that I want to forget.

Code Blocks

There are more words here. This is some inline code for i in range(10): print("markdown"). And here is some block code

import numpy as np

def f(x):
"""
This is a docstring
"""

   return np.exp(x)

Tables

abapple
cdpear
efbanana
ghstrawberry

Blockquotes

Short Blockquote

You do not rise to the level of your goals. You fall to the level of your systems.

– James Clear

Long Blockquote

At a purely formal level, one could call probability theory the study of measure spaces with total measure one, but that would be like calling number theory the study of strings of digits which terminate.

–Terence Tao, “Topics in Random Matrix Theory”

Figures and images

The below image is entered using the figure hugo shortcode.

Figure 1: Everyone’s favorite rotationally invariant measure.

Figure 1: Everyone’s favorite rotationally invariant measure.

Mathematics

In Calculus, one studies rates of change. In particular, one studies two foundational and interconnected ideas: derivatives and integrals.

Derivatives are often written as d/dx d/dx in inline math, despite not being fractions. Even in display math, they are written as

ddx. \frac{d}{dx}.

Some people are peculiar about if it should be written as f(x)dx \int f(x) dx , f(x)dx \int f(x) \, dx , or f(x)dx \int f(x) \, \text{d}x . I personally don’t have a strong preference.

As is well known, the derivative of an integral is the function itself.

See the details.

We have that

ddx0xf(t)dt=f(x). \frac{d}{dx} \int_0^x f(t) dt = f(x).