math

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

“The funding is being used to accelerate Harmonic’s momentum in developing Aristotle, which the company claims is the world’s […]”

“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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“Falcon-H1R-7B, a 7B parameter reasoning specialized model that matches or exceeds many 14B to 47B reasoning models in math, code and general benchmarks, while staying compact and efficient.”

“「本当に正確に論理的な推論ができているのか？」”

“今回、私は最新論文「Geometry of Reason: Spectral Signatures of Valid Mathematical Reasoning」に出会い、Spectral Attention解析という新しい手法を試してみました。”

“Geometry of Reason: Spectral Signatures of Valid Mathematical Reasoning”

“本記事では、私がこの手法を実際に試した経験をもとに、理論背景から具体的な解析手順、苦労した点や得られた教訓までを詳しく解説します。”

“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 subject matter is the theoretical underpinnings of pre-Hilbert structures on polynomial spaces and their associated Laplacians.”

“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 article's context is an ArXiv paper.”

“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'”