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Mathematics news
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
5 hours ago
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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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Are ideas contagious? How the structure of human-interaction networks affects spread of both illness and information
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, ...
Mathematics
Oct 9, 2024
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35
Team presents new theoretical strategy for generating asymmetric distributions in probability and statistics
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 in probability: the ...
Mathematics
Oct 8, 2024
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How higher-order interactions can remodel the landscape of complex systems
Networks, which include nodes and connections, can help researchers model dynamic systems like the spread of disease or how the brain processes information.
Mathematics
Oct 2, 2024
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Want to solve a complex problem? Applied math can help
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 does math play in solving complex problems ...
Mathematics
Oct 1, 2024
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44
A method of 'look twice, forgive once' can sustain social cooperation
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.
Mathematics
Sep 26, 2024
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42
Why do large electorates tend towards evenly split results?
Election polls often tighten up remarkably as the election date draws near. "Leave" (the European Union) won the UK election of May 2016 with a majority of 51.9%, but earlier the polls weren't nearly as tight—in January ...
Researchers develop precise pricing formula for perpetual American strangle options
Perpetual American strangle options (PASOs) offer investors a method for minimizing risk during highly volatile market scenarios by allowing them to buy or sell options at any date without an expiration date. In a new study, ...
Mathematics
Sep 16, 2024
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Two-way mathematical 'dictionary' could connect quantum physics with number theory
Several fields of mathematics have developed in total isolation, using their own "undecipherable" coded languages. In a new study published in Proceedings of the National Academy of Sciences, Tamás Hausel, professor of mathematics ...
Mathematics
Sep 12, 2024
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153
Soft cells: Rounded tile shapes echo those found in nature
Tiles that fill two- and three-dimensional spaces with no gaps—including triangles, squares, hexagons, cubes, and other polyhedra—are typically designed with sharp corners and flat faces (straight edges).
Mathematics
Sep 10, 2024
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Mathematical modeling explores the statistical mysteries of successfully scheduling a meeting
In a world where organizing a simple meeting can feel like herding cats, new research from Case Western Reserve University reveals just how challenging finding a suitable meeting time becomes as the number of participants ...
Mathematics
Sep 9, 2024
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190
Mathematicians model a puzzling breakdown in cooperative behavior
Darwin was puzzled by cooperation in nature—it ran directly against natural selection and the notion of survival of the fittest. But over the past decades, evolutionary mathematicians have used game theory to better understand ...
Mathematics
Sep 3, 2024
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187
Different mathematical solving methods can affect how information is memorized
The way we memorize information—a mathematical problem statement, for example—reveals the way we process it. A team from the University of Geneva (UNIGE), in collaboration with CY Cergy Paris University (CYU) and Bourgogne ...
Mathematics
Aug 30, 2024
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Framework for solving parabolic partial differential equations could guide computer graphics and geometry processing
Computer graphics and geometry processing research provide the tools needed to simulate physical phenomena like fire and flames, aiding the creation of visual effects in video games and movies as well as the fabrication of ...
Mathematics
Aug 28, 2024
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54
Mathematicians debunk GPS assumptions to offer improvements
The summer holidays are ending, which for many concludes with a long drive home and reliance on GPS devices to get safely home. But every now and then, GPS devices can suggest strange directions or get briefly confused about ...
Mathematics
Aug 28, 2024
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123
Generalized splitting-ring number theoretic transform
Number theoretic transform (NTT) is widely recognized as the most efficient method for computing polynomial multiplication with high dimension and integral coefficients, due to its quasilinear complexity.
Mathematics
Aug 28, 2024
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19
Cold math, hot topic: Applied theory offers new insights into sea ice thermal conductivity
A new applied mathematical theory could enhance our understanding of how sea ice affects global climate, potentially improving the accuracy of climate predictions.
Mathematics
Aug 27, 2024
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233
Mathematicians unlock the secrets of ouzo's cloudy transformation
Mathematicians at Loughborough University have turned their attention to a fascinating observation that has intrigued scientists and cocktail enthusiasts alike: the mysterious way ouzo, a popular anise-flavored liquor, turns ...
Mathematics
Aug 22, 2024
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