GPT-5.4 Pro cracked a conjecture in number theory that had stumped generations of mathematicians, using a proof strategy that ...

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Abstract: The puzzle game 2048, a single-player stochastic game played on a 4 × 4 grid, is the most popular among similar slide-and-merge games. One of the strongest computer players for 2048 uses ...

Abstract: In this paper, we propose three Griesmer type bounds for the minimum Hamming weight of complementary codes of linear codes. Infinite families of complementary codes meeting the three ...

Note: MathJax code development is performed in the MathJax-src repository. This repository holds the packaged version of MathJax, along with the main issue tracker for MathJax bugs. MathJax is an open ...

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The Standard Model explains how the basic building blocks of matter interact, governed by four fundamental forces. The theories and discoveries of thousands of physicists since the 1930s have resulted ...

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# You can't directly change a tuple. You have to convert it to a list , thrn make some changes and then change it back to tuple.

Mar 20, 2026 A large language model has very little self-awareness. But it is easy to give it some rudimentary but useful forms of self-awareness using the “plumbing” language.