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HomeMathematics

Mathematics

Mathematics

New theory identifies how physics principle of ‘rattling’ relates to self-organization

October 23, 2024 Phys.org

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 […]

Mathematics

Why Trump’s messaging is becoming more extreme: A mathematician explains

October 23, 2024 Phys.org

“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 cats […]

Mathematics

Photonic computing method uses electromagnetic waves to rapidly solve partial differential equations

October 21, 2024 Phys.org

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 be solved analytically, many […]

Mathematics

Three letters, one number, a knife and a stone bridge: How a graffitied equation changed mathematical history

October 16, 2024 Phys.org

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 […]

Mathematics

In double breakthrough, mathematician helps solve two long-standing problems

October 9, 2024 Phys.org

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.This post was originally published on this […]

Mathematics

Are ideas contagious? How the structure of human-interaction networks affects spread of both illness and information

October 9, 2024 Phys.org

The COVID-19 pandemic gave the global medical community the opportunity to take giant strides forward in understanding how to develop vaccines and implement public health measures designed to control the spread of disease, but the […]

Mathematics

Team presents new theoretical strategy for generating asymmetric distributions in probability and statistics

October 8, 2024 Phys.org

As is well known, the normal distribution is a key tool in probability and statistics. It can be described as a distribution that obeys a universal rule derived from one of the most important theorems […]

Mathematics

How higher-order interactions can remodel the landscape of complex systems

October 2, 2024 Phys.org

Networks, which include nodes and connections, can help researchers model dynamic systems like the spread of disease or how the brain processes information.This post was originally published on this site

Mathematics

Want to solve a complex problem? Applied math can help

October 1, 2024 Phys.org

You can probably think of a time when you’ve used math to solve an everyday problem, such as calculating a tip at a restaurant or determining the square footage of a room. But what role […]

Mathematics

A method of ‘look twice, forgive once’ can sustain social cooperation

September 26, 2024 Phys.org

The theory of indirect reciprocity holds that people who earn a good reputation by helping others are more likely to be rewarded by third parties, but widespread cooperation depends on agreement about reputations.This post was […]

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