github.com/fredhohman/awesome-mathematical-notation-design

# Awesome Mathematical Notation Design

While the history of mathematical notation dates back thousands of years, many of the symbols we are familiar with were introduced in the 16th–17th century. Since then, the number of advanced mathematical symbols has increased significantly.

Today, the majority of mathematical notation is digitally communicated in LaTeX, a popular mathematical typesetting system that produces static output. But sometimes mathematical notation can be hard to learn, hard to remember, and drag a reader into the details while preventing the communication of some higher-level idea. Can we do better?

Below is list of links of *techniques to help enhance mathematical notation*, for example, leveraging color, layout, annotations, Gestalt principles, or interactivity.

##### Add a new example

Found a new example? Open an issue to include it. Thanks for your suggestions!

## Research Papers (3 papers)

Academic papers on augmenting math notation.

Math augmentations

ACM CHI, 2022

Communicating with interactive articles

Distill, 2020

On-demand explanations of notation within in a research paper

ACM CHI, 2021

## Collections (7 collections)

Meta-collections of math notation examples.

3Blue1Brown

Youtube, 2015

Colorized math equations

Better Explained, 2017

Equation formatting

Red Blob Games, 2019

Gallery of concept visualization

Conceptviz, 2015

Manim

Github, 2015

Visual explanations of mathematics

Agile Scientific, 2020

Visual graphing tool examples

Geogebra, 2001

## Articles (6 articles)

Blog posts, explainers, and articles that use designed notation throughout.

Differential equations

Observable, 2019

Legible mathematics

Personal blog, 2014

Lessons from a year of distilling machine learning research

OpenVisConf, 2018

Pixels and their neighbors: Finite volume

The Leading Edge, 2016

Predator and prey relationships

Observable, 2018

Why momentum really works

Distill, 2017

## Examples (47 examples)

Other singular examples and explorations.

A student's guide to maxwell's equations

Cambridge University Press, 2008

Angle between two vectors

Twitter, 2021

Annotated LaTeX equations

Twitter, 2022

Bulletproofs

Github, 2018

Cheatsheet for Bayesian posterior predictions

Personal blog, 2022

Concepts in calculus

Intuitive Explanations, 2015

Continuous prefetch

VLDB, 2020

Convolutional neural network operations

IEEE TVCG, 2021

Cutting out knots

Personal blog, 2022

Definition of a derivative

Tumblr, 2015

Design decisions for Distill equations

Github, 2017

Differential equation for rate of change

Twitter, 2019

Distance formula

Towards Data Science, 2019

Editing generalized additive models

Research2Clinics at NeurIPS, 2021

Eigenvectors and eigenvalues

Explained Visually, 2015

Elementary math

Reddit, 2018

Energy consumption in machine learning

ACH CHI LBW, 2021

Equations in R

Twitter, 2020

Exponential function

Twitter, 2022

Function plotting

YouTube, 2017

Generalized additive models

ACM CHI, 2019

Generating animated videos with natural language queries

Magnum, 2020

Geometric visualization of Bayes' theorem

Wikipedia, 2022

Geometry line segement problem

Twitter, 2021

Helmholtz equation

Twitter, 2020

How mathematicians think about four dimensions

Explanaria, 2019

Integrating study results and distributions with text

IEEE VIS, 2020

Interactive exploration of a dynamical system

worrydream, 2011

Linking informal and formal statements

Twitter, 2021

Machine learning flashcards

Machine Learning Flashcards, 2017

Mathtype equation annotation

MathType

Neural network backpropagation

VISxAI at IEEE VIS, 2021

Numbers at play: Dynamic toys make the invisible visible

Khan Academy, 2017

PDEs and volume rendering thread

Twitter, 2022

Paths perspective on value learning

Distill, 2019

Predator and prey differential equation

Twitter, 2019

Summation and product notation in code

Twitter, 2021

Tangle: Explorable explanations made easy

worrydream, 2013

Teaching array programming

Personal blog, 2019

The case of the impossible triangles

Explanaria, 2021

The parts of a learning problem

Twitter, 2021

The rendering equation

Twitter, 2021

The singular value decomposition

Personal blog, 2022

Triangle solver

Personal Blog, 2021

Visual Pythagorean demonstration and proofs

StackExchange, 2014

Visualizing quaternions: An explorable video series

Personal blog, 2018

Volume rendering for developers: Foundations

Scratchapixel, 2022