The Saw-Toothed Function That Broke Calculus
In the late 19th century, Karl Weierstrass invented a fractal-like function that was decried as nothing less than a ...
Leonardo da Vinci Was Right: The Mathematical Secret of Tree Art
Researchers discovered that our ability to recognize trees in art is linked to a mathematical principle called the branch ...
How test-time scaling unlocks hidden reasoning abilities in small language models (and allows them to outperform LLMs)
A 1B small language model can beat a 405B large language model in reasoning tasks if provided with the right test-time scaling strategy.
A 3D lung model raises the bar for research
Respiratory diseases are a challenging problem to treat. Inhalable medicines are a promising solution that depends on the ability to deliver tiny particles known as aerosols to the correct location in ...
Psychology Today4d
5 Mathematical Reasoning Tricks for Everyday Problem-Solving
Application to everyday problems: When you encounter a solution that works really well, reverse-engineer it. For example, if ...
The Hechinger Report on MSN4d
The building blocks of math that students need to excel — but aren’t always getting
Students gathered around a bright blue number board in Melissa Williams’ kindergarten class at the Westminster School, gazing ...