Etiketen artxiboa: matemáticas

How many invitees guarantee at least a certain number all know each other? Formula is first major improvement since 1935.

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.

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.

By replacing thousands of equations with just one, ecology modelers can more accurately assess how close fragile environments are to a disastrous “tipping point.”


Mathematicians have struggled to understand the moduli space of graphs. A new paper uses tools from physics to peek inside.

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.


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.


A new proof shows that a knot some thought would contradict the famed slice-ribbon conjecture doesn’t.

In three-dimensional space, the surface of a black hole must be a sphere. But a new result shows that in higher dimensions, an infinite number of configurations are possible.


El rechazo a las matemáticas muchas veces se ha convertido en el principal argumento por el que adolescentes no desean cursar carreras de carácter científico

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