Results 31 to 40 of about 162,768 (165)

Efficient Dynamics: Reduced‐Order Modeling of the Time‐Dependent Schrödinger Equation

open access: yesAdvanced Physics Research, EarlyView.
Reduced‐order modeling (ROM) approaches for the time‐dependent Schrödinger equation are investigated, highlighting their ability to simulate quantum dynamics efficiently. Proper Orthogonal Decomposition, Dynamic Mode Decomposition, and Reduced Basis Methods are compared across canonical systems and extended to higher dimensions.
Kolade M. Owolabi
wiley   +1 more source

A Guide to Bayesian Optimization in Bioprocess Engineering

open access: yesBiotechnology and Bioengineering, EarlyView.
ABSTRACT Bayesian optimization has become widely popular across various experimental sciences due to its favorable attributes: it can handle noisy data, perform well with relatively small data sets, and provide adaptive suggestions for sequential experimentation.
Maximilian Siska   +5 more
wiley   +1 more source

Subuniformity of harmonic mean p$$ p $$‐values

open access: yesCanadian Journal of Statistics, EarlyView.
Abstract We obtain several inequalities on the generalized means of dependent p$$ p $$‐values. In particular, the weighted harmonic mean of p$$ p $$‐values is strictly subuniform under several dependence assumptions of p$$ p $$‐values, including independence, negative upper orthant dependence, the class of extremal mixture copulas, and some Clayton ...
Yuyu Chen   +3 more
wiley   +1 more source

A history of Galois fields

open access: yesKhronos, 2016
This paper stresses a specific line of development of the notion of finite field, from Évariste Galois’s 1830 “Note sur la théorie des nombres,” and Camille Jordan’s 1870 Traité des substitutions et des équations algébriques, to Leonard Dickson’s 1901 ...
Frédéric BRECHENMACHER
doaj  

Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
Abstract We study isoperimetric inequalities on “slabs”, namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension‐one base. As our two main applications, we consider the case when the base is the flat torus R2/2Z2$\mathbb {R}^2 / 2 \mathbb {Z}^2$ and the standard Gaussian measure
Emanuel Milman
wiley   +1 more source

Review and prospects of shear test of bolted rock joints

open access: yesDeep Underground Science and Engineering, EarlyView.
The laboratory shear test equipment, test method, and numerical simulation of bolted rock joints were summarized. The shortcomings and limitations of the current research were analyzed, and the research prospects were proposed. Abstract Rock bolting is a critical approach in geotechnical engineering for supporting weak rocks.
Shulin Ren   +4 more
wiley   +1 more source

Pulsed Quantum Excitation

open access: yesLaser &Photonics Reviews, EarlyView.
This manuscript demonstrates the improvements that single photon sources can gain if their source of excitation is quantum rather than classical. Illuminating a pair of identical two‐level systems, the author shows that the excitation with pulses of quantum light yields more antibunched and more indistinguishable emission than if the excitation were ...
Juan Camilo López Carreño
wiley   +1 more source

Vector bundles on bielliptic surfaces: Ulrich bundles and degree of irrationality

open access: yesMathematische Nachrichten, EarlyView.
Abstract This paper deals with two problems about vector bundles on bielliptic surfaces. The first is to give a classification of Ulrich bundles on such surfaces S$S$, which depends on the topological type of S$S$. In doing so, we study the weak Brill–Noether property for moduli spaces of sheaves with isotropic Mukai vector. Adapting an idea of Moretti
Edoardo Mason
wiley   +1 more source

Isomonodromic differential equations and differential categories

open access: yes, 2013
We study isomonodromicity of systems of parameterized linear differential equations and related conjugacy properties of linear differential algebraic groups by means of differential categories.
Gorchinskiy, Sergey, Ovchinnikov, Alexey
core   +1 more source

Distributed Formation Control for Heterogeneous Robot Systems Based on Competitive Mechanism

open access: yesCAAI Transactions on Intelligence Technology, EarlyView.
ABSTRACT This paper presents an adaptive formation control method for a heterogeneous robot swarm, utilising a multilevel formation task tree to model various types of formation tasks and a single‐state distributed k‐winner‐take‐all (S‐DKWTA) algorithm to address the MRTA problem.
Zhenghui Cui, Xiaoyi Gu, Ning Tan
wiley   +1 more source

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