A new research paper explores mathematical inequalities related to function spaces, specifically focusing on a sharpened form of the triangle inequality. The study constructs a counterexample to a proposed inequality and then proves that the exponent must satisfy a certain condition for the inequality to hold. Additionally, the paper establishes a sharp three-function bound with an optimal exponent, noting that the large language model Grok assisted in exploring some intermediate lemmas. AI
IMPACT This paper explores mathematical concepts that underpin LLM development, with Grok assisting in lemma exploration.
RANK_REASON Academic paper published on arXiv detailing mathematical inequalities with assistance from an LLM. [lever_c_demoted from research: ic=1 ai=0.4]
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