arXiv Math @arxiv_math@qoto.org

First and Second Derivatives of the $q$-Rationals. (arXiv:2309.10819v1 [math.HO]) http://arxiv.org/abs/2309.10819

Generalized non-autonomous Cohen-Grossberg neural network model. (arXiv:2309.10824v1 [q-bio.NC]) http://arxiv.org/abs/2309.10824

Which is greater: $\boldsymbol{e^\pi}$ or $\boldsymbol{\pi^{e}}$? An unorthodox solution to a classic puzzle. (arXiv:2309.10826v1 [physics.class-ph]) http://arxiv.org/abs/2309.10826

The Virasoro Minimal String. (arXiv:2309.10846v1 [hep-th]) http://arxiv.org/abs/2309.10846

The Craig Interpolation Property in First-order G\"odel Logic. (arXiv:2309.10860v1 [math.LO]) http://arxiv.org/abs/2309.10860

Graph-based sufficient conditions for indistinguishability of linear compartmental models. (arXiv:2309.10861v1 [math.DS]) http://arxiv.org/abs/2309.10861

A dynamic mean-field statistical model of academic collaboration. (arXiv:2309.10864v1 [stat.ME]) http://arxiv.org/abs/2309.10864

Determination of hyperovals by lines through a few points. (arXiv:2309.10866v1 [math.CO]) http://arxiv.org/abs/2309.10866

Small-scale mass estimates for Neumann eigenfunctions: piecewise smooth planar domains. (arXiv:2309.10875v1 [math.AP]) http://arxiv.org/abs/2309.10875

On Vizing's problem for triangle-free graphs. (arXiv:2309.10876v1 [math.CO]) http://arxiv.org/abs/2309.10876

Proof of Collatz Conjecture. (arXiv:2309.09991v1 [math.GM]) http://arxiv.org/abs/2309.09991

A renewal approach to prove the Four Color Theorem unplugged, Part III: Diamond routes, canal lines and $\Sigma$-adjustments. (arXiv:2309.09998v1 [math.CO]) http://arxiv.org/abs/2309.09998

A renewal approach to prove the Four Color Theorem unplugged, Part II: R/G/B Kempe chains in an extremum non-4-colorable MPG. (arXiv:2309.09999v1 [math.CO]) http://arxiv.org/abs/2309.09999

Energy stable neural network for gradient flow equations. (arXiv:2309.10002v1 [cs.LG]) http://arxiv.org/abs/2309.10002

A novel approach to measuring patent claim scope based on probabilities obtained from (large) language models. (arXiv:2309.10003v1 [cs.CL]) http://arxiv.org/abs/2309.10003

A probabilistic proof of some integral formulas involving incomplete gamma functions. (arXiv:2309.10004v1 [math.PR]) http://arxiv.org/abs/2309.10004

The $1$-Level Density for Zeros of Hecke $L$-Functions of Imaginary Quadratic Number Fields of Class Number $1$. (arXiv:2309.10018v1 [math.NT]) http://arxiv.org/abs/2309.10018

Jordan blocks and the Bethe ansatz III: Class 5 model and its symmetries. (arXiv:2309.10044v1 [hep-th]) http://arxiv.org/abs/2309.10044

Separation properties for positive-definite functions on locally compact quantum groups and for associated von Neumann algebras. (arXiv:2309.10046v1 [math.OA]) http://arxiv.org/abs/2309.10046

Chapter 12: The moment problem on compact semi-algebraic sets (revised version). (arXiv:2309.10052v1 [math.FA]) http://arxiv.org/abs/2309.10052