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Mathematics news
A new puzzle piece for string theory research: Study proves 4-graviton scattering conjecture
String theory aims to explain all fundamental forces and particles in the universe—essentially, how the world operates on the smallest scales. Though it has not yet been experimentally verified, work in string theory has ...
Mathematics
Nov 20, 2024
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182
Mathematical approach can predict crystal structure in hours instead of months
Researchers at New York University have devised a mathematical approach to predict the structures of crystals—a critical step in developing many medicines and electronic devices—in a matter of hours using only a laptop, ...
Mathematics
Nov 14, 2024
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243
A 41-million-digit prime number is the biggest ever found—but mathematicians' search for perfection will continue
Imagine a number made up of a vast string of ones: 1111111…111. Specifically, 136,279,841 ones in a row. If we stacked up that many sheets of paper, the resulting tower would stretch into the stratosphere.
Mathematics
Nov 14, 2024
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160
Flexible statistical method powers research on health, climate, financial data
Machine learning and artificial intelligence wouldn't be possible without the statistical models that underpin their analytic capabilities. A Cornell statistician and his colleague have developed a revolutionary new method ...
Mathematics
Nov 13, 2024
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Testing AI systems on hard math problems shows they still perform very poorly
A team of AI researchers and mathematicians affiliated with several institutions in the U.S. and the U.K. has developed a math benchmark that allows scientists to test the ability of AI systems to solve exceptionally difficult ...
'Shallow' sports and 'deep' social hierarchies: Not all pecking orders are created equally
University of Michigan researchers have added a new dimension to the mathematics used to predict the outcomes of all manner of competitions, including sports, games and social hierarchies in both humans and animals.
Mathematics
Nov 6, 2024
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25
Probability training: Preventing errors of reasoning in medicine and law
How trustworthy is a positive HIV test result? How probable is an actual infection when the test is positive? Even professionals often get such questions wrong, which can lead to misdiagnoses and unnecessary surgeries.
Mathematics
Nov 6, 2024
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1
Hard in theory, easy in practice: Why graph isomorphism algorithms seem to be so effective
Graphs are everywhere. In discrete mathematics, they are structures that show the connections between points, much like a public transportation network. Mathematicians have long sought to develop algorithms that can compare ...
Mathematics
Nov 6, 2024
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49
New framework uses games of chance to put 'price' on intangible assets
A new statistical model could help to address the age-old question of how to price non-physical, intangible goods like data, say scientists.
Mathematics
Nov 6, 2024
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34
Misinformation really does spread like a virus, according to mathematical models drawn from epidemiology
We're increasingly aware of how misinformation can influence elections. About 73% of Americans report seeing misleading election news, and about half struggle to discern what is true or false.
Mathematics
Nov 5, 2024
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1
Using mathematics to better understand cause and effect
Cause and effect. We understand this concept from an early age. Tug on a pull toy's string, and the toy follows. Naturally, things get much more complicated as a system grows, as the number of variables increases, and as ...
Mathematics
Nov 1, 2024
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87
Typing monkey would be unable to produce 'Hamlet' within the lifetime of the universe, study finds
A new study reveals it would take far longer than the lifespan of our universe for a typing monkey to randomly produce Shakespeare. So, while the Infinite Monkey Theorem is true, it is also somewhat misleading.
Mathematics
Oct 30, 2024
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1036
US math teachers view student performance differently based on race and gender
Teachers report thinking that if girls do better in math than boys, it is probably because of their innate ability and effort. But they also report that when boys do well in math, it is more likely due to parental support ...
Mathematics
Oct 28, 2024
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High school students present five new ways of proving Pythagoras' Theorem via trigonometry
In 2022, U.S. high school students Calcea Johnson and Ne'Kiya Jackson astonished teachers when they discovered a new way to prove Pythagoras' theorem using trigonometry after entering a competition at their local high school. ...
Mathematics
Oct 28, 2024
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256
From fireflies to drones: Researchers uncover strategy for synchronization efficiency
Researchers from The University of New Mexico School of Engineering looked to the natural world to explain how synchronized systems can work more efficiently and made a significant discovery. Their results were published ...
Mathematics
Oct 25, 2024
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New theory identifies how physics principle of 'rattling' relates to self-organization
If you've ever watched a large flock of birds on the wing, moving across the sky like a cloud with various shapes and directional changes appearing from seeming chaos, or the maneuvers of an ant colony forming bridges and ...
Mathematics
Oct 23, 2024
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135
Why Trump's messaging is becoming more extreme: A mathematician explains
"Talk about extreme." That was the response of Democratic presidential nominee Kamala Harris at September's televised debate, after her rival, Donald Trump, made the baseless claim that migrants had been eating the dogs and ...
Mathematics
Oct 23, 2024
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Photonic computing method uses electromagnetic waves to rapidly solve partial differential equations
In the fields of physics, mathematics, and engineering, partial differential equations (PDEs) are essential for modeling various phenomena, from heat diffusion to particle motion and wave propagation. While some PDEs can ...
Mathematics
Oct 21, 2024
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46
Three letters, one number, a knife and a stone bridge: How a graffitied equation changed mathematical history
On October 16, 1843, the Irish mathematician William Rowan Hamilton had an epiphany during a walk alongside Dublin's Royal Canal. He was so excited he took out his penknife and carved his discovery right then and there on ...
Mathematics
Oct 16, 2024
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In double breakthrough, mathematician helps solve two long-standing problems
A Rutgers University-New Brunswick professor who has devoted his career to resolving the mysteries of higher mathematics has solved two separate, fundamental problems that have perplexed mathematicians for decades.
Mathematics
Oct 9, 2024
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Fuji apple study finds genetic mechanisms behind high-yield trees
Earth-bound asteroids 'could be tracked more precisely' with new equation
