In the late 19th century, Karl Weierstrass invented a fractal-like function that was decried as nothing less than a ...

Fractional calculus and fractal functions are two interconnected areas of mathematics that explore complex behaviors in continuous functions. Fractional calculus extends traditional calculus by ...

Generalized Iterated Function Systems (GIFS) and fractal geometry are fascinating areas of mathematics that explore how simple processes can create complex structures. These systems are ...

Solomon Adams is a freelance journalist who covers mathematics, culture and other topics. He graduated from Yale University in 2024 with a bachelor’s degree in math and philosophy.

The multiscale organisation we found allows different strategies – or “neural codes” – to function at different ... Our findings reveal that this fractal coordination of neuron activity ...

Now iterate the function starting at this point ... Julia sets can be simple (like a circle) or extremely complicated like a fractal. See the W00 course notes on Julia sets for more information on ...