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A New Kind of Symmetry Shakes Up Physics
...paper prompted physicists to search for other places it might appear. Physicists and mathematicians are collaborating to work out the mathematics of these new symmetries — and in some cases...
How to Tame the Endless Infinities Hiding in the Heart of Particle Physics
...the English-speaking world. The mathematics itself poses another barrier. The trilogy’s 1,110 pages brim with original mathematical objects and bizarre coinages. Odd-sounding terms like “trans-series,” “analyzable germs,” “alien derivations” and...
Hobbyist Finds Math’s Elusive ‘Einstein’ Tile
...an emerita mathematics professor at Moravian University in Pennsylvania. She described herself as “flabbergasted.” Mathematicians have been searching for a tile like the hat since the 1960s, when Robert Berger...
Emmy Murphy Is a Mathematician Who Finds Beauty in Flexibility
...unique vantage point not just to mathematics but also to the mathematical community. On paper, all that’s visible is a mathematician at the top of her profession: A full professor...
The Symmetry That Makes Solving Math Equations Easy
...solves every equation of the form \(ax^2+bx+c=0\). The formula is as useful as it is likely to appear in the dictionary under “math anxiety,” and a quick look shows you...
Is There Math Beyond the Equal Sign?
...of very sophisticated thing. Cheng (08:43): Yes. And that’s one of the reasons I call it the mathematics of mathematics. Because where mathematics goes around looking at the world and...
The Researcher Who Would Teach Machines to Be Fair
...and science research? I grew up very interested in both, but primarily in math. I was good at solving puzzles and even had some success at the International Mathematical Olympiad....
Can We Program Our Cells?
...all this, which was a branch of mathematics, the branch of mathematics that I happen to love — nonlinear dynamics — that I, I want to believe helped you in...
Simpler Math Predicts How Close Ecosystems Are to Collapse
...more frequent and severe over larger areas. The effects of that transition could ripple out globally to other ecosystems. A recent breakthrough in the mathematical modeling of ecosystems could make...