▽John Baez’s Stuff ●12/22 00:25 Six random permutations of a 500-element set, wherecircle areas are drawn in proportion to cycle lengths.From Analytic Combinatorics by Flajolet and Sedgewick.I've got a new article on randompermutations, the latest in a series about how to understand the statistics of random permutations using ablend of combinatorics, category theory, and even complex analysis!
▽US NSF - National Science Foundation ●12/22 00:02 For Early-career ResearchersElectronic components can self-assemble using new techniqueDecember 20, 2024New development of 'impossible' polymer capable of increasing both stiffness and flexibilityDecember 20, 2024Researchers observe fundamental mechanism causing material 'work hardening'December 20, 2024
▽uefa.com ●12/21 23:18 Clubs still in competition/participating clubs Clubs Bonus Check how points are calculated Pts Avg 1 England ENG 7/7 24.500 90.500 12.928 2 Portugal POR 5/5 12.500 58.500 11.700 3 Italy ITA 8/8 30.500 93.500 11.687 4 Spain ESP 7/7 24.000 77.000 11.000 5 Belgium BEL 5/5 6.500 54.500 10.900Country Check how points are calculated Pts 1 England ENG 98.660 2 Italy ITA 87.043 3 Spain ESP 81.561 4 Germa
▽Arts - Dance - New York Times ●12/21 20:26 Michaela DePrince Danced as if She Were Sprinkled With Pixie DustAs a professional ballerina, she inhabited the world of fairy tales. It’s tempting to read her real life as one too.By Niela Orr
