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HomeMathematics

Mathematics

Mathematics

Can deep learning techniques predict sudden state transitions in nonlinear dynamical systems?

December 17, 2024 Phys.org

Nonlinear dynamical systems are systems that can undergo sudden shifts not due to changes in their state or stability, but in response to the rate at which external conditions or parameters change. These sudden shifts, […]

Mathematics

How much faster is a knight than a king? A mathematical study reveals the exact ratio

December 12, 2024 Phys.org

We know a knight can move across the chessboard faster than the king, but exactly how much faster? Christian Táfula Santos, a doctoral student in UdeM’s Department of Mathematics, has done the math and his […]

Mathematics

Mathematician solves the moving sofa problem

December 11, 2024 Phys.org

A mathematician at Yonsei University, in Korea, claims to have solved the moving sofa problem. Jineon Baek has posted a 100+-page proof of the problem on the arXiv preprint server.This post was originally published on […]

Mathematics

‘I was scared’: Many student teachers had bad math experiences at school. Here’s how they can do better

December 11, 2024 Phys.org

What do you remember about math at school? Did you whizz through the problems and enjoy getting the answers right? Or did you often feel lost and worried you weren’t keeping up? Perhaps you felt […]

Mathematics

Mathematicians make leap in modeling human impact on climate

December 10, 2024 Phys.org

A breakthrough in the theory of climate change science has given scientists the most robust way yet to link observed climate change to both human-made and natural causes and to spot early warning signals for […]

Mathematics

Physics-based models combined with big data could lead to systematically better hypotheses

December 9, 2024 Phys.org

Finding a reasonable hypothesis can pose a challenge when there are thousands of possibilities. This is why Dr. Joseph Sang-II Kwon is trying to make hypotheses in a generalizable and systematic manner.This post was originally […]

Mathematics

Hybrid model links micro and macro scales in complex systems

December 6, 2024 Phys.org

In fields ranging from immunology and ecology to economics and thermodynamics, multi-scale complex systems are ubiquitous. They are also notoriously difficult to model. Conventional approaches take either a bottom-up or top-down approach. But in disturbed […]

Mathematics

Love thy neighbor: Researchers reveal network structures that enhance cooperation throughout a system

December 6, 2024 Phys.org

Helping out your neighbor or minding your own business? A challenging choice with different benefits for each decision. Game theory provides guidance in making such choices—from a theoretical perspective.This post was originally published on this […]

Mathematics

Why are boys outperforming girls in math?

December 5, 2024 Phys.org

A major international test has revealed a concerning gender gap in math among Australian school students.This post was originally published on this site

Mathematics

Can we avert the looming food crisis of climate change? Mathematical model reveals critical threshold

November 26, 2024 Phys.org

Human activities are causing atmospheric carbon dioxide (CO2) levels to rise, which increases the global average surface temperature—and poses a threat to crop growth. Escalating concerns about climate change’s impact on global food security inspired […]

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