Results 1 to 10 of about 298,615 (267)
Representation Formula for Solutions of Eikonal Type Equations
Nonlinear Analysis, 2001 Equations of an eikonal type ones arise in many areas of applications, including optics, fluid mechanics, material sciences, and control theory. This article investigates the representation formula for semiconcave solutions of the boundary problem for ...
Gintautas Gudynas
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A Geometric Solution to Fair Representations [PDF]
Proceedings of the AAAI/ACM Conference on AI, Ethics, and Society, 2020 To reduce human error and prejudice, many high-stakes decisions have been turned over to machine algorithms. However, recent research suggests that this does not remove discrimination, and can perpetuate harmful stereotypes. While algorithms have been developed to improve fairness, they typically face at least one of three shortcomings: they are not ...
Yuzi He +2 more
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Classical solutions for a class of nonlinear wave equations [PDF]
Theoretical and Applied Mechanics, 2021 We study a class of initial value problems subject to nonlinear partial differential equations of hyperbolic type. A new topological approach is applied to prove the existence of nontrivial nonnegative solutions. More precisely, we propose a new integral
Georgiev Svetlin +2 more
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Exponential Stability and Relative Controllability of Nonsingular Conformable Delay Systems
Axioms, 2023 In this paper, we investigate a delayed matrix exponential and utilize it to derive a representation of solutions to a linear nonsingular delay problem with permutable matrices.
Airen Zhou
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On multivortex solutions of the weierstrass representation [PDF]
Physics of Atomic Nuclei, 2002 The connection between the complex Sine and Sinh-Gordon equations on the complex plane associated with a Weierstrass type system and the possibility of construction of several classes of multivortex solutions is discussed in detail. We perform the Painlevé test and analyse the possibility of deriving the Bäcklund transformation from the singularity ...
Bracken, P. +2 more
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EduChemia, 2023 A comprehensive understanding of chemistry requires thinking using three levels of interconnected representation: macroscopic, submicroscopic, and symbolic.
Indah Langitasari, Babang Robandi
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Solution of the Lindblad equation in the Kraus representation [PDF]
Physical Review A, 2006 9 ...
NAKAZATO H +5 more
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Representation of solutions of a solvable nonlinear difference equation of second order
Electronic Journal of Qualitative Theory of Differential Equations, 2018 We present a representation of well-defined solutions to the following nonlinear second-order difference equation $$x_{n+1}=a+\frac{b}{x_n}+\frac{c}{x_nx_{n-1}},\quad n\in\mathbb{N}_0,$$ where parameters $a, b, c$, and initial values $x_{-1}$ and $x_0 ...
Stevo Stevic +3 more
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Probabilistic Representations of Solutions of the Forward Equations [PDF]
Potential Analysis, 2008 In this paper we prove a stochastic representation for solutions of the evolution equation $ \partial_t ψ_t = {1/2}L^*ψ_t $ where $ L^* $ is the formal adjoint of an elliptic second order differential operator with smooth coefficients corresponding to the infinitesimal generator of a finite dimensional diffusion $ (X_t).$ Given $ ψ_0 = ψ$, a ...
Rajeev, B, Thangavelu, S
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Representation of solutions of linear discrete systems with constant coefficients and with delays [PDF]
Opuscula MathematicaThe paper surveys the results achieved in representing solutions of linear non-homogeneous discrete systems with constant coefficients and with delays and their fractional variants by using special matrices called discrete delayed-type matrices.
Josef Diblík
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