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Bounded Linear Maps
In this chapter, the exploration of advanced linear algebra and functional analysis concepts unfolds, beginning with the notion of bounded linear...
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Hessian discretisation method for fourth-order semi-linear elliptic equations: applications to the von Kármán and Navier–Stokes models
This paper deals with the Hessian discretisation method (HDM) for fourth-order semi-linear elliptic equations with a trilinear non-linearity. The HDM...
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Quaternion Hyperbolic Fourier Transforms and Uncertainty Principles
The present study introduces the two-sided and right-sided Quaternion Hyperbolic Fourier Transforms (QHFTs) for analyzing two-dimensional...
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Boundary points, minimal L2 integrals and concavity property II: Weakly pseudoconvex Kähler manifolds
In this paper, we consider minimal L 2 integrals on the sublevel sets of plurisubharmonic functions on weakly pseudoconvex Kähler manifolds with...
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Novel group decision making approach based on the rough soft approximations of graphs and hypergraphs
Rough soft knowledge is a key approach to understand and model uncertain, vague and not clearly defined situations in a parametric manner. Graphs,...
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The Cutoff Phenomenon in Wasserstein Distance for Nonlinear Stable Langevin Systems with Small Lévy Noise
This article establishes the cutoff phenomenon in the Wasserstein distance for systems of nonlinear ordinary differential equations with a...
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Powers of componentwise linear ideals: the Herzog–Hibi–Ohsugi conjecture and related problems
In 1999, Herzog and Hibi introduced componentwise linear ideals. A homogeneous ideal I is componentwise linear if for all nonnegative integers d , the...
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Testing Read-Once Functions in a Median-Augmented Element Basis
We construct a checking test for a read-once alternative in a median-augmented element basis. We prove that the augmentation of the element basis...
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Easiness, Twisting
In short, there are many things to be done. In addition, there are countless ways of presenting this material, with (1,2,3,4) being more of less...
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Existence of sharp asymptotic profiles of singular solutions to an elliptic equation with a sign-changing non-linearity
The first two authors (Cîrstea and Robert in Proc Lond Math Soc (3) 114(1):1–34,
2017 ) classified the behaviour near zero for all positive solutions...
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FAITHFUL ACTIONS OF AUTOMORPHISM GROUPS OF FREE GROUPS ON ALGEBRAIC VARIETIES
Considering a certain construction of algebraic varieties X endowed with an algebraic action of the group Aut( F n ), n < ∞, we obtain a criterion for...
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Linearity
We began this book by learning how to systematically solve systems of linear algebraic equations. This “elementary” problem formed our launching pad...
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Image of polynomials under generalized Szász operators
The motivation behind this paper is a sequence S n of generalized Szász operators using multiple Appell polynmials. The purpose of the present paper...
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Modified version of a simplified Landweber iterative method for nonlinear ill-posed operator equations
In this paper, we consider a modified version of the simplified Landweber iterative regularization method which require calculation of the Frèchet...
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Global and Non-global Solutions for a Class of Damped Fourth-Order Schrödinger Equations
In this note, some well-posedness issues for a class of fourth-order Schrödinger equations with a time-dependent dam** and a pure power...
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Finite-Data Error Bounds for Koopman-Based Prediction and Control
The Koopman operator has become an essential tool for data-driven approximation of dynamical (control) systems, e.g., via extended dynamic mode...
