SDFs in 2D A signed distance function in 2D is more straightforward to reason about so we’ll cover it first. Additionally, it is helpful for font rendering in specific scenarios.

In the late 19th century, Karl Weierstrass invented a fractal-like function that was decried as nothing less than a “deplorable evil.” In time, it would transform the foundations of mathematics.

How an Inmate Serving a Murder Sentence Made a Math Discovery The surprising story of Christopher Havens's journey to becoming a published academic author.

A variant of this definition gives the cardinal number 𝔟, namely the smallest size of a family B with the property that there is no continuous function that dominates all functions of B.

Now, the team has introduced a neural network—an AI algorithm inspired by the brain’s structure and function—that solves college-level math problems at a human level in seconds, according to their ...

Ask ordinary software developers how to code an exponential function (that is, ex) and most will tell you to simply write an expression in their favorite high level language. But a significant slic… ...

A breakthrough in Hilbert's sixth problem is a major step in grounding physics in math ...

It’s not that anyone ever said sophisticated math problems can’t be solved by teenagers who haven’t finished high school. But the odds of such a result would have seemed long. Yet a paper posted on ...

Here are some mathematicians’ selections of the most beautiful math equations, as well as their own words on what factors make them so exquisite. Loewner Differential Equation ...

Telling AI model to “take a deep breath” causes math scores to soar in study DeepMind used AI models to optimize their own prompts, with surprising results.