Let $L$ be a completely regular frame and $mathcal{R}L$ be the ring of continuous real-valued functions on $L$. We study the frame $mathfrak{O}(Min(mathcal{R}L))$ of minimal prime ideals of $mathcal{R}L$ in relation to $beta L$. For $Iinbeta L$, denote by $textit{textbf{O}}^I$ the ideal ${alphainmathcal{R}Lmidcozalphain I}$ of $mathcal{R}L$. We show that sending $I$ to the set of minimal prime ...

ADVERTISEMENT RETURN TO ISSUEPREVEnergy FocusNEXTA Minimal Information Set To Enable Verifiable Theoretical Battery ResearchAashutosh MistryAashutosh MistryChemical Sciences and Engineering Division, Argonne National Laboratory, Lemont, Illinois 60439, United StatesMore by Aashutosh Mistryhttps://orcid.org/0000-0002-4359-4975, Ankit VermaAnkit VermaEnergy Conversion Storage Systems Center, Rene...

Abstract The formulation of constrained system dynamics using coordinate projection onto a subspace locally tangent to the constraint manifold is revisited QR factorization Jacobian matrix extract suitable and integrating evolution along with that matrix, as solution evolves. A true continuation algorithm thus proposed track independent coordinates. It does not visibly affect quality but avoids...

This paper defines and studies a new, interesting, and challenging benchmark problem that originates in systems biology. The minimal seed-set problem is defined as follows: given a description of the metabolic reactions of an organism, characterize the minimal set of nutrients with which it could synthesize all nutrients it is capable of synthesizing. Current methods used in systems biology yie...

We present the first polynomial-time algorithm for computing the minimal covering set of a (weak) tournament. The algorithm is based on a linear programming formulation of a subset of the minimal covering set known as the essential set. On the other hand, we show that no efficient algorithm exists for two variants of the minimal covering set, the minimal upward covering set and the minimal down...