LaTeX_markdown.md

Brian Blaylock
December 10, 2019

LaTeX formating for Markdown ➕➗➖✖ 🔢

If writing markdown in VSCode, install the Markdown+Math extension and take a look at the short documentation. In Jupyter Lab, the LaTeX ability is already included and mostly follows the same formatting (except for equation numbering).

In-line expressions are surrounded by single dollar signs and look like this: $y = mx+b$. Notice there is no white space before/after the $:

$in line equation$

Equation blocks are surrounded by a double dollar sign and are in a separate line:

$$block equation$$   

$$y = mx+b$$

You may also give it an equation number by specifying a number like this (doesn't seem to work in Jupyter Lab):

$$block equation$$ (1)

$$ 7 = x+5$$ (1)

LaTeX Notation

Feature	Notation	Rendering
Times Sign	y=m \times x+b	$y=m \times x+b$
Subscript	x_{inside}	$x_{sub}$
Superscript	x^{inside}	$x^{sup}$
Fraction	\frac{top}{bottom}	$\pi = \frac{c}{d}$
Integral	\int_{bottom limit}^{top limit}{equation}	$y=\int_{0}^{1}{x}dx$
Parentheses	\left( \frac{x}{y}\right)	$\left( \frac{x}{y}\right)$
All Together	F = G \left(\frac{m_1 m_2}{r^2}\right)	$F = G \left(\frac{m_1 m_2}{r^2}\right)$

Look at thislist of LaTeX symbols for more symbols and this cheatsheet for additional examples.

Common Equations:

Data Assimilation

Observation Impact

$$OBIMP = innovation \times sensitivity$$ (1)

Innovation

$$innovation = T_{observation} - T_{background}$$ (2)

Common Math

Slope of a line	$y = mx + b$
Hypotenuse	$c^2 = a^2 + b^2$
Integral	$y = \int_{0}^{1}{x}^{2}dx$

Feature Scaling (normalization)

Scale a set of number between 0 and 1:

$$ x^{\prime} = \frac{x - x_{min}}{x_{max} - x_{min}} $$ (1)

Scale a set of number between two numbers, [a, b]:

$$ x^{\prime} = a + \frac{(x-x_{min})(b-a)}{x_{max}-x_{min}}$$ (2)

Mean Normalization:

$$ x^{\prime} = \frac{x - x_{average}}{x_{max} - x_{min}} $$ (3)