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An Introduction to the Notion of Natural Pseudo-distance in Topological Data Analysis
The natural pseudo-distance \(d_G\) associated with a group... -
On a generalized notion of metrics
In these notes we generalize the notion of a (pseudo) metric measuring the distance of two points, to a (pseudo) n -metric which assigns a value to a...
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Distance-Based Regression Analysis for Measuring Associations
Distance-based regression model, as a nonparametric multivariate method, has been widely used to detect the association between variations in a...
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On the Solution of a Two-Sided Vector Equation in Tropical Algebra
AbstractIn the context of tropical mathematics, the problem of solving a vector equation with two given matrices and unknown vectors, each part of...
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Existence in \(\alpha \) -Norm of \(\mu -\) Pseudo Almost Automorphic Mild Solutions for Mean Field Stochastic Evolution Equations
In this work, we use the concept of \(\mu \) -square-mean... -
Invariant rectification of non-smooth planar curves
We consider the problem of defining arc length for a plane curve invariant under a group action. Initially one partitions the curve and sums a...
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Embedding Dimensions of Matrices Whose Entries are Indefinite Distances in the Pseudo-Euclidean Space
A finite set of the Euclidean space is called an s -distance set provided that the number of Euclidean distances in the set is s . Determining the...
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On the effective Putinar’s Positivstellensatz and moment approximation
We analyse the representation of positive polynomials in terms of Sums of Squares. We provide a quantitative version of Putinar’s Positivstellensatz...
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New Bregman projection methods for solving pseudo-monotone variational inequality problem
In this work, we introduce two Bregman projection algorithms with self-adaptive stepsize for solving pseudo-monotone variational inequality problem...
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Continuity of extensions of Lipschitz maps
We establish the sharp rate of continuity of extensions of ℝ m -valued 1-Lipschitz maps from a subset A of ℝ n to a 1-Lipschitz maps on ℝ n . We consider...
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Towards a canonical divergence within information geometry
In Riemannian geometry geodesics are integral curves of the Riemannian distance gradient. We extend this classical result to the framework of...
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Topological Stability for Flows from a Gromov–Hausdorff Viewpoint
In this paper we propose a definition of a distance between flows of possibly different metric spaces. This notion is then combined with the concept...
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Convergence analysis for variational inequalities and fixed point problems in reflexive Banach spaces
In this paper, using a Bregman distance technique, we introduce a new single projection process for approximating a common element in the set of...
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Norm Resolvent Convergence of Discretized Fourier Multipliers
We prove norm estimates for the difference of resolvents of operators and their discrete counterparts, embedded into the continuum using biorthogonal...
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Are delay-differential systems generically controllable?
In this paper, we study controllability properties of time-invariant linear delay-differential (d-d) systems with a single delay in the pseudo-state....
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A Dynamical System for Strongly Pseudo-monotone Equilibrium Problems
In this paper, we consider a dynamical system for solving equilibrium problems in the framework of Hilbert spaces. First, we prove that under strong...