For years, physicists were stuck in trying to explain an important mathematical problem in physics. The right approach ended ...

An effective solution to the flooding challenge must focus on innovation, and that means looking not only at where we build ...

Last month, OpenAI announced that its latest version of ChatGPT had solved a major math problem, one that had stumped experts ...

Abstract: In this article, we propose a model predictive control (MPC) with a single-step prediction horizon to approximate the solution of infinite horizon optimal control problems with the expected ...

Abstract: We present a Mathematics of Arrays (MoA) and ψ-calculus derivation of the memory-optimal operational normal form for ELLPACK sparse matrix-vector multiplication (SpMV) on GPUs. Under the ...

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Think about placing dots on a flat surface. You want as many pairs as possible to be separated by the same distance. For any amount of dots, what is the greatest possible number of pairs that can be ...

You are given an array that consists of nnn integers. The array elements are indexed 1,2,…,n1,2,\dots,n1,2,…,n. You can modify the array using the following operation: choose an array element and ...

Place any number of dots on a two-dimensional plane—say, a piece of paper—and measure the distance between each pair. If you rearrange the dots, how many pairs could be positioned exactly the same ...

Mathematicians warned against rising tech industry influence in a declaration describing the many challenges that AI poses to mathematics research. The timing of the declaration comes two weeks after ...