mathematics

“This article introduces recommended books and websites to study the required pre-requisite knowledge.”

“The American Mathematical Society president said it was 'rigorous, correct, and elegant.'”

“Scientists say that AI has become a powerful and rapidly improving research tool, and that whether it is generating ideas on its own is, for now, a moot point.”

“Since the release of GPT 5.2, AI tools have become inescapable in high-level mathematics.”

“N/A - Lacking a specific quote from the content (Tweet and Paper).”

“I wanted to review the definitions of specific operations, so I summarized them.”

“はじめに ディープラーニングの実装をしているとベクトル微分とかを頻繁に目にしますが、具体的な演算の定義を改めて確認したいなと思い、まとめてみました。”

“Terrence Tao: "Erdos problem #728 was solved more or less autonomously by AI"”

“Unfortunately I cannot directly pull the quote from the linked content due to access limitations.”

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“On $\mathscr{M}$-arrangements of conics and lines with ordinary singularities.”

“The paper examines a Bruhat decomposition related to the Shalika subgroup of GL(2n).”

“$U_q(\mathfrak{gl}(m|n))$ bounds on the minimal genus of virtual links”

“The article's focus is on words of length $N = 3M$ with a three-letter alphabet.”

“The article's key content focuses on higher-order dualities between prime ideals.”

“The context mentions that the article is from ArXiv, indicating a pre-print research paper.”

“The context mentions the article's source is ArXiv, indicating a pre-print publication.”

“The article's key focus is on the mathematical link between amicable numbers and the Euler totient function.”

“An application to a system of $(k,ρ)$-fractional Hilfer integral equations via a measure of noncompactness.”

“Based on the prompt, there is no subordinate information to quote from.”

“The paper focuses on completing the enumeration of inversion sequences avoiding triples of relations.”

“The article is titled 'Acylindricity in Higher Rank, Part I : Fundamentals'”

“The context provided only states the title and source.”

“The source is ArXiv, indicating a pre-print scientific publication.”

“$x(1-t(x + x^{-1})) F(x;t) = x - t F(0;t)$”

“The paper focuses on Laguerre- and Laplace-weighted integration.”

“The research focuses on Gaussian Optimal Transport.”

“The article discusses the filtration of holomorphic functions.”

“The article's source is ArXiv.”

“The context focuses on a mathematical topic within differential geometry.”