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This paper mathematically models Classical Arabic morphology to argue against Saussurean arbitrary sign and postmodern semantic indeterminacy, proving that Arabic lexical meaning is structurally determined via root-pattern pairs and showing a complexity asymmetry over Indo-European languages.
This paper proposes a training-free, uncertainty-aware inference framework for using large language models in operations research. The method uses short lookahead simulations and importance resampling to improve the coherence of mathematical formulations, outperforming standard baselines on OR benchmarks.
This paper introduces a mathematical framework to study how reliance on shared LLMs for writing may reduce population-level linguistic diversity, analyzing fixed, recursive, and personalized interaction mechanisms and characterizing equilibria and convergence rates.
This post points out that the theoretical basis of SpaceX's algorithm comes from NASA Marshall Space Flight Center and Russian liquid rocket transient control theory, and recommends relevant papers.
This article introduces how to design and implement various foldable structures through mathematical modeling of 3D printing and origami engineering, ranging from simple mountain/valley fold hinges to complex thick-panel waterbomb tessellations and bistable Kresling springs, demonstrating the application of origami principles in thick-panel materials.