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

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The best-yet test of artificial intelligence’s mathematical mettle has released its first official round of results. The verdict is that large language models (LLMs) are emerging as useful—albeit ...

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 ...

For generations, mathematicians have tried and failed to solve an 80-year-old problem. In May, an artificial intelligence (AI) model successfully tackled it. OpenAI, the maker of ChatGPT, said one of ...

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 ...

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 ...

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 ...

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 ...