Results 41 to 50 of about 125,341 (125)

Abelianizing vertex algebras

, 2004
To every vertex algebra $V$ we associate a canonical decreasing sequence of subspaces and prove that the associated graded vector space $gr(V)$ is naturally a vertex Poisson algebra, in particular a commutative vertex algebra.
Borcherds, Buhl, Frenkel, Gaberdiel, Haisheng Li, Karel, Li, Li, Miyamoto, Primc, Zhu   +10 more
core   +1 more source

Capacitive versus Faradaic Microelectrodes for Extracellular Stimulation: A Fully Coupled FEM–Hodgkin–Huxley Study of Thresholds and Current Redistribution

Advanced Electronic Materials, EarlyView.
A fully coupled FEM–HH model shows that ideally capacitive microelectrodes can achieve lower charge‐density thresholds than Faradaic contacts under current‐controlled stimulation. The advantage stems from the dynamics of surface current density on capacitive interfaces, which redirects current beneath adherent neurons.
Aleksandar Opančar, Eric Daniel Głowacki, Vedran Đerek   +2 more
wiley   +1 more source

Trust‐region filter algorithms utilizing Hessian information for gray‐box optimization

AIChE Journal, EarlyView.
Abstract Optimizing industrial processes often involves gray‐box models that couple algebraic glass‐box equations with black‐box components lacking analytic derivatives. Such systems challenge derivative‐based solvers. The classical trust‐region filter (TRF) algorithm provides a robust framework but requires extensive parameter tuning and numerous ...
Gul Hameed, Tao Chen, Antonio del Rio Chanona, Lorenz T. Biegler, Michael Short   +4 more
wiley   +1 more source

Stiffness characteristics of geometrically non-linear beam finite element/Geometriškai netiesinio lenkiamo strypo baigtinio elemento standumo rodiklių nustatymas

Journal of Civil Engineering and Management, 1997
Two-dimensional geometrically non-linear beam element is considered in this paper. The explicit expressions of stiffness characteristics of element with three nodes are derived and tested.
Audrius Mikoliūnas, Rimantas Kačianauskas   +1 more
doaj   +1 more source

An algebraic form of the Marchenko inversion. Partial waves with orbital momentum $l\ge 0$ [PDF]

, 2021
N. A. Khokhlov
openalex   +1 more source

A trust‐region funnel algorithm for gray‐box optimization

AIChE Journal, EarlyView.
Abstract Gray‐box optimization, where parts of optimization problems are represented by algebraic models while others are treated as black‐box models lacking analytic derivatives, remains a challenge. Trust‐region (TR) methods provide a robust framework for gray‐box problems through local reduced models (RMs) for black‐box components, but they are ...
Gul Hameed, Tao Chen, Antonio del Rio Chanona, Lorenz T. Biegler, Michael Short   +4 more
wiley   +1 more source

Existence of the solutions of an interval tensor complementarity problem [PDF]

ریاضی و جامعه
In this paper, we consider a general tensor complementarity problem with interval parameters, and study the conditions under which, the existence and uniqueness of the solution of the problem are guaranteed.
Rozita Beheshti, Javad Fathi, Mostafa Zangiabadi   +2 more
doaj   +1 more source

From AKNS to derivative NLS hierarchies via deformations of associative products

, 2006
Using deformations of associative products, derivative nonlinear Schrodinger (DNLS) hierarchies are recovered as AKNS-type hierarchies. Since the latter can also be formulated as Gelfand-Dickey-type Lax hierarchies, a recently developed method to obtain '
Ablowitz M J, Ablowitz M J, Aristophanes Dimakis, Bogdanov L V, Bogdanov L V, Bogdanov L V Konopelchenko B G Martinez Alonso L, Carl B, Carl B, Chen H H, Dickey L A, Dimakis A, Dimakis A, Ebrahimi-Fard K, Fan E, Fan E, Folkert Müller-Hoissen, Fuchssteiner B, Gerdjikov V S, Gerstenhaber M, Golubchik I Z, Golubchik I Z, Kupershmidt B A, Macdonald I G, Marchenko V A, Nijhoff F W, Odesskii A V Sokolov V V, Odesskii A V Sokolov V V, Ohta Y, Olver P J, Pritula G M, Sato M, Skrypnyk T, Skrypnyk T, Steudel H, Tsuchida T, Tsuchida T, Vekslerchik V E, Vekslerchik V E, Vekslerchik V E, Wilson G   +39 more
core   +1 more source

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real‐World Data

Advanced Intelligent Discovery, EarlyView.
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley   +1 more source

Versal deformation of the Lie algebra $L_2$ [PDF]

, 1999
We investigate deformations of the infinite dimensional vector field Lie algebra spanned by the fields $e_i = z^{i+1}d/dz$, where $i \ge 2 $. The goal is to describe the base of a ``versal'' deformation; such a versal deformation induces all the other ...
Fialowski, A., Post, G.F.
core   +2 more sources