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Directional shadow price in linearly constrained nonconvex optimization models
The shadow price is, along with its close cousin, the Lagrange multiplier, one of the most important and fundamental concepts in operations research....
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Approaching Developable Surfaces Through Shadow and Penumbra
This paper enquires into the relationship between the rigorous graphic construction of penumbra and shadow and the idea of a developable surface...
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Characterizing Shadow Price via Lagrange Multiplier for Nonsmooth Problem
In this paper, the relation between the shadow price and the Lagrange multiplier for nonsmooth optimization problem is explored. It is obtained that...
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Dynamics of Shadow System of a Singular Gierer–Meinhardt System on an Evolving Domain
The main purpose of the current paper is to contribute towards the comprehension of the dynamics of the shadow system of a singular Gierer–Meinhardt...
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Front propagation in the shadow wave-pinning model
In this paper we consider a non-local bistable reaction–diffusion equation which is a simplified version of the wave-pinning model of cell...
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Shadow Wave Tracking Procedure and Initial Data Problem for Pressureless Gas Model
In this paper the new procedure for a construction of an approximated solution to initial data problem for one-dimensional pressureless gas dynamics...
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Modeling of the L\({}_{1}\) Point Jet Formation in Binary Star Her X1
AbstractObservational data from the binary X-ray star system Her X1 indicate that the accretion disk in it is tilted and precesses with a period of...
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Co-optimizing the smart grid and electric public transit bus system
As climate change provides impetus for investing in smart cities, with electrified public transit systems, we consider electric public transportation...
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Spike Solutions to the Supercritical Fractional Gierer–Meinhardt System
Localized solutions are known to arise in a variety of singularly perturbed reaction–diffusion systems. The Gierer–Meinhardt (GM) system is one such...
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Shadows of Newton polytopes
We define the shadow complexity of a polytope P as the maximum number of vertices in a linear projection of P to the plane. We describe connections...
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On the discrete Heisenberg group and commutative modular variables in quantum mechanics: I. The Abelian symplectic shadow and integrality of area
Global interference phenomena start to manifest in quantum transitions involving at least two projection filters which cannot be realized...
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Arc Diagrams on 3-Manifold Spines
We develop a theory of link projections to trivalent spines of 3-manifolds. We prove a Reidemeister Theorem providing a set of combinatorial moves...
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A variational formulation for a trust and reputation system
Trust and reputation systems play a pivotal role in modern decentralized environments, fostering cooperation and mitigating risks in various online...
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Two meaningful secret image sharing schemes based on integer wavelet transform and \({\text {LWE}}\)
In a meaningful secret image-sharing scheme, the distribution of an image among participants occurs without arousing suspicion from potential...
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The Stochastic Gierer–Meinhardt System
The Gierer–Meinhardt system occurs in morphogenesis, where the development of an organism from a single cell is modelled. One of the steps in the...
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Remote Control of Mobile Robotic System Over Web-Based Interface for Supporting People with Physical Disabilities
The incapacity of people with physical disabilities to lead fulfilling lives is a global problem. Physical limitations lead to stress and discomfort,...
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The Saturation Spectrum for Antichains of Subsets
Extending a classical theorem of Sperner, we characterize the integers m such that there exists a maximal antichain of size m in the Boolean lattice B
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Spectrahedral Shadows
In this chapter we introduce the notion of a spectrahedral shadow, and examine these sets thoroughly. They are still feasible sets for semidefinite...
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Mathematical Practice: How an Astronomical Table Was Made in the Yuanjia li (443 AD)
Simply according to the analysis and mathematical modeling of the structure of constants, without the support of any written historical materials,...