Results 61 to 70 of about 4,854 (294)
Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs
Communications 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
Contributions to Plasma Physics, EarlyView.ABSTRACT A methodological study is presented on a noninvasive photometric diagnostic for determining trends in electron density and sheath dynamics in single (1f) and a dual (2f) radio frequency capacitively coupled (CCRF) argon plasmas. The 1f discharges are operated at 13.56 and 27.12 MHz, respectively, while the 2f discharge is driven by both ...
Daniel Zuhayra +3 more
wiley +1 more source
ON THE COMPLEXITY OF SEMIDEFINITE PROGRAMS ARISING IN POLYNOMIAL OPTIMIZATION
Croatian Operational Research Review, 2012 In this paper we investigate matrix inequalities which hold irrespective of the size of the matrices involved, and explain how the search for such inequalities can be implemented as a semidefinite program (SDP).
Igor Klep, Janez Povh, Angelika Wiegele
doaj
Study on fracture parameter calibration and failure characteristics of rock with hole and crack
Deep Underground Science and Engineering, EarlyView.The SIF and plastic zone equations for a single hole and crack have been derived. The model's failure state leads to the identification of four types of cracks. The plastic zone increases with increased brittleness and decreased crack length. Abstract Cracks within the surrounding rock of roadways significantly affect their stability and failure ...
Shaochi Peng, Wensong Wang
wiley +1 more source
Varieties of four-dimensional gauge theories
Journal of High Energy PhysicsWe use algebraic geometry to study the anomaly-free representations of an arbitrary gauge Lie algebra for 4-dimensional spacetime fermions. For irreducible representations, the problem reduces to studying the Lie algebras 𝔰𝔲 n for n ≥ 3.
Ben Gripaios, Khoi Le Nguyen Nguyen
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Topology and real algebraic geometry
Rocky Mountain Journal of Mathematics, 1984 This article discusses the problem of topologically classifying real algebraic sets and describes the author's joint program with \textit{H. King} for the possible solution of this problem. The main topic of discussion are the 'resolution towers'. These are the topological models constructed to describe underlying topological types of real algebraic ...
openaire +2 more sources
Review and prospects of shear test of bolted rock joints
Deep 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
Energy Science &Engineering, EarlyView.This figure illustrates the optimal near‐wall treatment schemes (first‐layer height and wall function type) for solid–liquid two‐phase CFD of suspended sediment, which are correlated with particle size and flow velocity. ABSTRACT Near‐wall treatment (boundary‐layer meshing and wall functions) is a major uncertainty in solid–liquid two‐phase CFD of ...
Zichao Zhang +4 more
wiley +1 more source
The Comparison of Diffeomorphic Images Based on the Construction of Persistent Homology
Моделирование и анализ информационных систем, 2019 An object shape analysis is a problem that is related to such areas as geometry, topology, image processing and machine learning. For analyzing the form, the deformation between the source and terminal form of the object is estimated.
Sergey N. Chukanov
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International Journal for Numerical Methods in Fluids, EarlyView.We introduce new efficient and accurate first order finite volume‐type numerical schemes, for the non‐conservative one‐dimensional blood flow equations with transport, taking into account different velocity profiles. The framework is the flux‐vector splitting approach of Toro and Vázquez‐Cendón (2012), that splits the system in two subsystems of PDEs ...
Alessandra Spilimbergo +3 more
wiley +1 more source