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A Continuity Result for the Adjusted Normal Cone Operator
The concept of adjusted sublevel set for a quasiconvex function was introduced by Aussel and Hadjisavvas who proved the local existence of a...
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Relative Isoperimetric Inequalities
In this chapter, isoperimetric inequalities on domains with smooth boundary in complete Riemannian manifolds are considered. The perimeter here is...
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Alternative Representations of the Normal Cone to the Domain of Supremum Functions and Subdifferential Calculus
The first part of the paper provides new characterizations of the normal cone to the effective domain of the supremum of an arbitrary family of...
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Relative Entropy Methods in Constrained Polynomial and Signomial Optimization
Relative entropy programs belong to the class of convex optimization problems. Within techniques based on the arithmetic-geometric mean inequality,...
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Study of hybrid nanofluid flow in a stationary cone-disk system with temperature-dependent fluid properties
Cone-disk systems find frequent use such as conical diffusers, medical devices, various rheometric, and viscosimetry applications. In this study, we...
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Analysis of an unsteady triple diffusion through quadratic Boussinesq approximation from a rotating cone in a rotating fluid
The objective of current communication is to explore the triple diffusive mixed flow with the fluid rotation on a rotating cone in an unsteady...
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The Spivak Normal Structure
Recall that our goal is to find a solution to the following problem.
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Mixed Volumes of Normal Complexes
Normal complexes are orthogonal truncations of simplicial fans. In this paper, we develop the study of mixed volumes for normal complexes. Our main...
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Relative poset polytopes and semitoric degenerations
The two best studied toric degenerations of the flag variety are those given by the Gelfand–Tsetlin and FFLV polytopes. Each of them degenerates...
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Openness of uniformly valuative stability on the Kähler cone of projective manifolds
Assume that a projective variety is uniformly valuatively stable with respect to a polarization. We show that the projective variety is uniformly...
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Deep Learning for Dental Cone-Beam Computed Tomography
This chapter reviews metal artifact reduction (MAR) methods for low-dose cone-beam computed tomography (CBCT). MAR is of vital significance because...
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On the Continuity of the Tangent Cone to the Determinantal Variety
Tangent and normal cones play an important role in constrained optimization to describe admissible search directions and, in particular, to formulate...
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On the relative version of Mori dream spaces
This paper is devoted to a study of the relative version of a Mori dream space (MDS for short), which was first introduced by Andreatta and Wiśnewski...
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Error bounds, facial residual functions and applications to the exponential cone
We construct a general framework for deriving error bounds for conic feasibility problems. In particular, our approach allows one to work with cones...
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An integral version of Zariski decompositions on normal surfaces
We show that any pseudo-effective divisor on a normal surface decomposes uniquely into its “integral positive” part and “integral negative” part,...
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The Relative Positive Center Set and Its Geometric Applications
In this paper, the relative positive center set of convex plane curves is introduced and described. As its applications, some geometric inequalities...