Etiketen artxiboa: matemáticas

2 High School Students Prove Pythagorean Theorem. Here’s What That Means
t an American Mathematical Society meeting, high school students presented a proof of the Pythagorean theorem that used trigonometry—an approach that some once considered impossible

¿Hay alguna posibilidad de pedir 11 nuggets de pollo a pesar de que las cajas son de 4, 6 y 9?
Este es el denominado problema de Frobenius para semigrupos numéricos, y lleva acompañando a la humanidad desde la creación de la primera moneda

New maths formula answers long-standing party problem
How many invitees guarantee at least a certain number all know each other? Formula is first major improvement since 1935.

Surprise Computer Science Proof Stuns Mathematicians
For decades, mathematicians have been inching forward on a problem about which sets contain evenly spaced patterns of three numbers. Last month, two computer scientists blew past all of those results.

New Proof Distinguishes Mysterious and Powerful ‘Modular Forms’
Using “refreshingly old” tools, mathematicians resolved a 50-year-old conjecture about how to categorize important functions called modular forms, with consequences for number theory and theoretical physics.

Simpler Math Predicts How Close Ecosystems Are to Collapse
By replacing thousands of equations with just one, ecology modelers can more accurately assess how close fragile environments are to a disastrous “tipping point.”

Quantum Field Theory Pries Open Mathematical Puzzle
Mathematicians have struggled to understand the moduli space of graphs. A new paper uses tools from physics to peek inside.

How will AI change mathematics? Rise of chatbots highlights discussion
Machine learning tools already help mathematicians to formulate new theories and solve tough problems. But they’re set to shake up the field even more.

How Our Reality May Be a Sum of All Possible Realities
Richard Feynman’s path integral is both a powerful prediction machine and a philosophy about how the world is. But physicists are still struggling to figure out how to use it, and what it means.

Mathematicians Eliminate Long-Standing Threat to Knot Conjecture
A new proof shows that a knot some thought would contradict the famed slice-ribbon conjecture doesn’t.