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Exact(10)
Deriving these properties, we have in detail made use of standard operator theoretical results on compactly defined linear operators with respect to star operations.
Let A be a standard operator algebra on an infinite dimensional Banach space X.
We apply these results to describe automorphisms of standard operator semigroups and to improve Uhlhorn's version of Wigner's theorem.
This transformation also has the added benefit of allowing for an exact operator splitting scheme, whereas in the original form a standard operator splitting was only second-order.
In two dimensions the benefits have been less marked due to the reliance of the methods on standard operator splitting techniques.
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Similar(50)
The evolution method used in this algorithm includes a novel genetic operator named "Similarity Operator" alongside the standard operators (i.e. Mutation and Crossover).
Each of the operators under investigation turns out to be a sum of one or more of standard operators (second derivative, derivative of the Hilbert transform, etc)., and an integral operator with smooth kernel.
Huetter, who has been a play-clock operator for 12 years and is also a former N.B.A. referee, said the game-day routine was standard: operators must arrive several hours before the game, and at exactly 1 hour 50 minutes before kickoff, the operators have a meeting with the on-field officials to review their procedures.
Indeed, the pertinent balance laws are obtained through the action of the standard operators of vector calculus (grad, curl and div) on appropriate forms of the Hamiltonian of the system under consideration.
Moreover, the PLIP model operators also have the ability to take on cases in between LIP and standard operators based on the visual requirements of the input images.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com