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Generalized Korn's inequality and conformal Killing vectors [PDF]

open access: yesCalc.Var.Part.Differ.Equ.25:535-540, 2006, 2005
Korn's inequality plays an important role in linear elasticity theory. This inequality bounds the norm of the derivatives of the displacement vector by the norm of the linearized strain tensor. The kernel of the linearized strain tensor are the infinitesimal rigid-body translations and rotations (Killing vectors).
A. Tiero   +8 more
arxiv   +3 more sources

Inference with Linear Equality and Inequality Constraints Using R: The Package ic.infer [PDF]

open access: yesJournal of Statistical Software, 2010
In linear models and multivariate normal situations, prior information in linear inequality form may be encountered, or linear inequality hypotheses may be subjected to statistical tests.
Ulrike Grömping
doaj   +1 more source

An asymmetric Kadison's inequality [PDF]

open access: yesarXiv, 2010
Some inequalities for positive linear maps on matrix algebras are given, especially asymmetric extensions of Kadison's inequality and several operator versions of Chebyshev's inequality. We also discuss well-known results around the matrix geometric mean and connect it with complex interpolation.
Bourin, Jean-Christophe, Ricard, Éric
arxiv   +6 more sources

Linear interval inequalities [PDF]

open access: greenLinear and Multilinear Algebra, 1994
We prove that a system of linear inequalities with interval-valued data is weakly solvable (each system obtained by fixing coefficeints in the intervals prescribed has a solution) if and only if it is strongly solvable (all such systems have a solution in common) and desribe an algorithm for checking strong solvability.
J. Rohn, Jana Krešlová
openalex   +3 more sources

A theorem about linear rank inequalities that depend on the characteristic of the finite field

open access: yesSelecciones Matemáticas, 2022
A linear rank inequality is a linear inequality that holds by dimensions of vector spaces over any finite field. A characteristic-dependent linear rank inequality is also a linear inequality that involves dimensions of vector spaces but this holds over ...
Victor Peña-Macias
doaj   +1 more source

Pullback attractor of Hopfield neural networks with multiple time-varying delays

open access: yesAIMS Mathematics, 2021
This paper deals with the attractor problem of Hopfield neural networks with multiple time-varying delays. The mathematical expression of the networks cannot be expressed in the vector-matrix form due to the existence of the multiple delays, which leads ...
Qinghua Zhou   +3 more
doaj   +1 more source

On Robust Global Error Bounds for a Class of Uncertain Piecewise Linear Inequality Systems

open access: yesAxioms, 2022
This paper is concerned with the radius of robust global error bounds for an uncertain piecewise linear inequality system where the uncertain data are assumed to be in polytope uncertain sets.
Wen Tan, Xiaole Guo, Xiangkai Sun
doaj   +1 more source

Linear inequalities in primes [PDF]

open access: yesJournal d'Analyse Mathématique, 2021
In this paper we prove an asymptotic formula for the number of solutions in prime numbers to systems of simultaneous linear inequalities with algebraic coefficients. For $m$ simultaneous inequalities we require at least $m+2$ variables, improving upon existing methods, which generically require at least $2m+1$ variables. Our result also generalises the
openaire   +2 more sources

Finite-dimensional Gaussian approximation with linear inequality constraints [PDF]

open access: yesSIAM/ASA J. Uncertain. Quantification, 2017
Introducing inequality constraints in Gaussian process (GP) models can lead to more realistic uncertainties in learning a great variety of real-world problems.
A. F. López-Lopera   +3 more
semanticscholar   +1 more source

Impacts of Overall Financial Development, Access and Depth on Income Inequality

open access: yesEconomies, 2022
There is dense literature on the relationship between financial sector development (FSD) and income inequality. However, most of these studies employ a depth measure of FSD. This study argues that different components of FSD have a heterogenous impact on
Nokulunga Mbona
doaj   +1 more source

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