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A neurodynamic approach for joint chance constrained rectangular geometric optimization
This paper considers a nonconvex geometric optimization problem with two-sided joint probabilistic constraints, namely rectangular constraints. We...
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On an Algebro-Geometric Approach to Ribaucour Transformations and Bianchi Cubes
AbstractIn this paper, we develop an algebro-geometric approach to Ribaucour transformations and Bianchi cubes of orthogonal nets. Explicit...
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Trees, unicyclic graphs and their geometric Sombor index: an extremal approach
The Sombor index is a novel vertex-degree-based topological index which was proposed by Gutman in 2021. This index has been shown to be helpful in...
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Holomorphic Spectral Theory: A Geometric Approach
The paper introduces geometric, analytic, and operator theoretic concepts in holomorphic spectral theory, the part of spectral theory developed by...
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Geometric multidimensional scaling: efficient approach for data dimensionality reduction
Multidimensional scaling (MDS) is an often-used method to reduce the dimensionality of multidimensional data nonlinearly and to present the data...
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Signomial Geometric Programming Approach to Solve Non-Linear Fractional Programming Problems
In the last few decades, there is a spectacular diversification in the field of mathematical programming. One domain of mathematical programming in...
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Geometric Oversight
In this chapter we give an overview of the main geometric players related to a projective hypersurface, among them the polar map and image, the...
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Geometric Harmonic Analysis IV Boundary Layer Potentials in Uniformly Rectifiable Domains, and Applications to Complex Analysis
This monograph presents a comprehensive, self-contained, and novel approach to the Divergence Theorem through five progressive volumes. Its ultimate...
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Geometric Harmonic Analysis V Fredholm Theory and Finer Estimates for Integral Operators, with Applications to Boundary Problems
This monograph presents a comprehensive, self-contained, and novel approach to the Divergence Theorem through five progressive volumes. Its ultimate...
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The Geometric Surgery Obstruction Group and Surgery Obstruction
This chapter is the equivalent to Chapter 9 inWall’s book [414].We give a geometric approach to the L-groups and the surgery obstruction based on...
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Geometric Approach to the Bifurcation at Infinity: A Case Study
In this paper, the reaction-diffusion equation in space 1D with negative power nonlinearity is presented as an example the stationary solutions of...
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Geometric Harmonic Analysis III Integral Representations, Calderón-Zygmund Theory, Fatou Theorems, and Applications to Scattering
This monograph presents a comprehensive, self-contained, and novel approach to the Divergence Theorem through five progressive volumes. Its ultimate...
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Geometric Preliminaries
We assume that the reader is familiar with basic Riemannian geometryRiemannian geometrybasic definitions and we freely refer to [17] and in...
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Basic Ideas of Geometric Sampling
Most of the material in Chapter 1 is concerned with integral-geometric formulae for motion-invariant...
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The expanding universe of the geometric mean
In this paper the authors seek to trace in an accessible fashion the rapid recent development of the theory of the matrix geometric mean in the cone...
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A geometric approach to equivariant factorization homology and nonabelian Poincaré duality
Fix a finite group G and an n -dimensional orthogonal G -representation V . We define the equivariant factorization homology of a V -framed smooth G -manif...
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Arbitrage problems with reflected geometric Brownian motion
Contrary to the claims made by several authors, a financial market model in which the price of a risky security follows a reflected geometric...
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Log-majorizations related to the spectral geometric and Rényi means
In this article we study log-majorizations related to the spectral geometric and Rényi means. Our goal is to establish certain geometric properties...
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Harmonic flow of geometric structures
We give a twistorial interpretation of geometric structures on a Riemannian manifold, as sections of homogeneous fibre bundles, following an original...
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