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As with Hickman's other comics, "The Manhattan Projects" shows his hand in its design — Pitarra's bubbling, frenetically detailed artwork is interspersed with pages of more abstract vector graphics and (real and spurious) quotes from Richard Feynman.
The abstract vector processing unit (VPU) is a virtual VPU that represents a set of real VPUs.
We present a new package, VEST (Vector Einstein Summation Tools), that performs abstract vector calculus computations in Mathematica.
Applications to an abstract vector quasi-equilibrium problem (for short, AVQEP), a generalized scalar equilibrium problem (for short, GSEP), SEP, and a perturbed saddle point problem are provided.
Then AGVQEP reduces to the abstract vector quasi-equilibrium problem (for short, AVQEP), which consists in finding (widehat{x}in E) such that (psi widehat{x},y) nsubseteq C widehat{x})) for every (yin E).
Such a new notion of state was developed in the work of Erwin Schrödinger in the form of the "wave function" of the system, usually denoted by Ψ. Paul Adrien Maurice Dirac gave a general abstract formulation of the notion of quantum state, in terms of a vector Ψ moving in an abstract vector space.
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The 430 700 nm data, when analyzed by singular-value decomposition, yield two principal abstract vectors.
This paper deals with the abstract generalized vector quasi-equilibrium problem in noncompact Hadamard manifolds.
(XII) In 2003, Ding and Park [28] applied this to a class of abstract generalized vector equilibrium problems in G-convex spaces.
Motivated by the recent work mentioned above, the main purpose of this paper is to introduce and study the abstract generalized vector quasi-equilibrium problem (for short, AGVQEP) in noncompact Hadamard manifolds.
Motivated by [10 18, 20, 21], we in this paper shall extend Theorem 1 to partial cone metric spaces over a non-normal solid cone of an abstract normed vector space.
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