The irregular, swirling motion of fluids we call turbulence can be found everywhere, from stirring in a teacup to currents in the planetary atmosphere. This phenomenon is governed by the Navier-Stokes ...

Models, by definition, are approximations: useful, informative, and inevitably incomplete, because they are the only way to ...

Large language models struggle to solve research-level math questions. It takes a human to assess just how poorly they ...

Mathematicians finally understand the behavior of an important class of differential equations that describe everything from ...

The field of infectious disease epidemiology is continually challenged by the emergence and re-emergence of pathogens, which can have profound societal, ...

Department of Physical and Environmental Sciences, Faculty of Science, Technology and Environmental Studies, Open University of Tanzania, Dar es Salaam, Tanzania. The increasing generation of ...

OpenAI Unveils ‘Strawberry’ Model, Optimized for Complex Coding and Math Your email has been sent OpenAI o1, one of a family of models known as Strawberry, is designed for building rather than ...

[L80] E. N. Lorenz (1980): Attractor sets and quasi-geostrophic equilibrium. J Atmos Sci 37, 1685-1699. We refer to this model as the L80 model. This folder contains: -A script that defines the ...

ABSTRACT: The DDE-Biftool software is applied to solve the dynamical stability and bifurcation problem of the neutrophil cells model. Based on Hopf point finding with the stability property of the ...