Agent architectures and parallelization are, with a few exceptions, rarely to encounter in traditional automated theorem proving systems. This situation is motivating our ongoing work in the higher-order theorem prover Leo-III . In contrast to its predecessor – the well established prover LEO-II – and most other modern provers, Leo-III is designed from the very beginning for concurrent proof se...

This study integrates a tunicate swarm algorithm (TSA) with local escaping operator (LEO) for overcoming the weaknesses of original TSA. The LEO strategy in TSA–LEO prevents searching deflation TSA and improves convergence rate search efficiency agents. proposed was verified on CEC’2017 test suite, its performance compared seven metaheuristic algorithms (MAs). comparisons revealed that signific...

Florencio Balboa, John B. Bell, Rafael Delgado-Buscalioni, Aleksandar Donev, ∗ Thomas Fai, Boyce Griffith, and Charles S. Peskin 1Departamento de F́ısica Teórica de la Materia Condensada, Univeridad Autónoma de Madrid, Madrid 28049, Spain 2Center for Computational Science and Engineering, Lawrence Berkeley National Laboratory, Berkeley, CA, 94720 3Courant Institute of Mathematical Sciences, New ...

Aleksandar Donev, ∗ Andy Nonaka, Yifei Sun, 3 Thomas G. Fai, Alejandro L. Garcia, and John B. Bell Courant Institute of Mathematical Sciences, New York University, New York, NY 10012 Center for Computational Science and Engineering, Lawrence Berkeley National Laboratory, Berkeley, CA, 94720 Leon H. Charney Division of Cardiology, Department of Medicine, New York University School of Medicine, N...

Conservation of entropy or potential temperature and accurate representation wave propagation without computational modes are both desirable properties for a numerical model the atmosphere. However, they appear to require different formulations, forcing developers choose between them. Here it is shown that, by straightforward modification horizontal fluxes, conservation can be achieved sacrific...

Abstract The Charney–Phillips grid, used in many numerical models of the atmosphere, involves vertically staggering nodes density variable with entropy‐type variable. When moisture is included such a model, it either co‐located so that can be transported conservatively and consistently dry mass, or coupling between temperature represented well. Both properties are desirable, yet at first appear...

We study energy transfer in unbounded Charney-Hasegawa-Mima and surface quasigeostrophic turbulence. The possible inverse-cascading quantities in these systems are, respectively, I identical with integral ( infinity )(0)k(-2)E(k) dk and J identical with integral ( infinity )(0)k(-1)E(k) dk, where E(k) is the kinetic energy spectrum. The supposed direct-cascading quantities for both surface quas...

Given a naturally labelled graded poset P with r ranks, the alternating sum W (P,−1) := ∑