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Theorem 2.2 E α ( E, A ( t ) ) = E α ( E, A ( 0 ) ) for all 0 < α < 1 and 0 ≤ t ≤ 1. Problem (2) is not well posed in C ( E ) for arbitrary E. It turns out that a Banach space E can be restricted to a Banach space E ′ in such a manner that the restricted problem (2) in E ′ will be well posed in C ( E ′ ).
where λ=(λ ℓ,λ h ) is the vector of multipliers for the restricted problem.
Most of the published articles deal however with a restricted problem: spectrum management.
However, this restricted problem is still NP-hard due to its combinatorial nature.
Almost all of the numerical simulations to date have dealt with the restricted problem of one-dimensional transport.
The equations developed here are verified by numerical integrations, using the restricted problem of three bodies, showing an agreement better than 1%.
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This is because the restricted IBDT problem can be framed as an inverse problem and finessed with priors (i.e., prior beliefs as an experimenter on the prior beliefs and loss-functions of a subject).
The blocks-world problem, slightly modified, is a subproblem of this restricted planning problem.
Shirshov's ideas were used by his students Efim Zelmanov to solve the restricted Burnside problem and Aleksander Kemer to solve the Specht problem.
The Russian mathematician Efim Isaakovich Zelmanov was awarded a Fields Medal in 1994 for his affirmative answer to the restricted Burnside problem.
Restricted master problem.
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