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HomeMathematics

Mathematics

Mathematics

A 41-million-digit prime number is the biggest ever found—but mathematicians’ search for perfection will continue

November 14, 2024 Phys.org

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.This […]

Mathematics

Flexible statistical method powers research on health, climate, financial data

November 13, 2024 Phys.org

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 to analyze complex datasets that’s more […]

Mathematics

Testing AI systems on hard math problems shows they still perform very poorly

November 12, 2024 Phys.org

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 […]

Mathematics

‘Shallow’ sports and ‘deep’ social hierarchies: Not all pecking orders are created equally

November 6, 2024 Phys.org

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.This post was […]

Mathematics

Probability training: Preventing errors of reasoning in medicine and law

November 6, 2024 Phys.org

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.This post […]

Mathematics

Hard in theory, easy in practice: Why graph isomorphism algorithms seem to be so effective

November 6, 2024 Phys.org

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 any two graphs.This post […]

Mathematics

New framework uses games of chance to put ‘price’ on intangible assets

November 6, 2024 Phys.org

A new statistical model could help to address the age-old question of how to price non-physical, intangible goods like data, say scientists.This post was originally published on this site

Mathematics

Misinformation really does spread like a virus, according to mathematical models drawn from epidemiology

November 5, 2024 Phys.org

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.This post was originally published on this […]

Mathematics

Using mathematics to better understand cause and effect

November 1, 2024 Phys.org

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 […]

Mathematics

Typing monkey would be unable to produce ‘Hamlet’ within the lifetime of the universe, study finds

October 30, 2024 Phys.org

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 […]

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