By replacing the most fundamental concept in topology, Peter Scholze and Dustin Clausen are taking the first step in a far ...

For nearly 80 years, mathematicians have struggled to solve a classic geometry puzzle first posed by Paul Erdős in 1946: the planar unit distance problem. The question posed by the legendary Hungarian ...

Why combining structure, application, and collaboration in classrooms leads to deeper learning and improving math instruction ...

Mathematics and computing is the study and analysis of abstract concepts, such as numbers and patterns. Mathematics is the language of choice for scientifically describing and modelling the universe ...

Grothendieck is revered in the world of math; outside of it, he’s known for his unusual life, if he’s known at all. But what ...

Applied mathematics is the application of mathematical techniques to describe real-world systems and solve technologically relevant problems. This can include the mechanics of a moving body, the ...

A general-purpose reasoning model, not a math-trained system, produced a new family of point configurations that broke Paul ...

Abstract: The sliding discrete Fourier transform (SDFT) is an efficient method for computing the N-point DFT of a given signal starting at a given sample from the N-point DFT of the same signal ...

Abstract: This paper is concerned with event-triggered control of discrete-time systems with or without input saturation. First, an accumulative-error-based event ...

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