Researchers have found an unusual 3D printable material that generates electricity in flowing water. The researchers found ...

Near-field optical trapping has transformed particle manipulation in biology, chemistry, and nanotechnology, enabling contact-free control of objects ranging from nanoparticles to living cells.

Optical trapping is a powerful tool for manipulating microscopic particles, but conventional approaches often suffer from limited trapping range and poor stability when particles disturb the optical ...

The International Mathematical Olympiad (IMO) is a prestigious competition featuring talented high school students from around the world, in which competitors solve complicated mathematical problems.

Five years ago, mathematicians Dawei Chen and Quentin Gendron were trying to untangle a difficult area of algebraic geometry involving differentials, elements of calculus used to measure distance ...

If something looks and sounds stupid, but it really works, then it’s not actually stupid! Problems don’t always need to be solved with fancy, expensive, and high-tech approaches. All you really need ...

In this video, we solve a challenging geometry problem using pure logic, geometric reasoning, and smart observations—no trigonometric formulas required. This approach helps you build deeper ...

Abstract: Accurate measurement of contact geometry is essential for robotic perception and manipulation, enabling object recognition, pose estimation, and precise in-hand control. Photometric ...

In the third century BCE, Apollonius of Perga asked how many circles one could draw that would touch three given circles at exactly one point each. It would take 1,800 years to prove the answer: eight ...

Dr. Fryer is a professor of economics at Harvard University, founder of Equal Opportunity Ventures and a senior fellow at the Manhattan Institute. Call it MAG: mutually assured gerrymandering. First ...