To complete the proof, remark that problem (3.1 1 coincides with the problem (N).
We remark that the problems we need to solve become considerably more difficult due to the average transmit power constraints, both from a theoretical and practical point of view.
His mother once remarked that the problem when he was a child was that he never stopped asking questions: not questions to which he wanted an answer — questions to which he knew the answer.
And as firefighters climbed the stairs with helmets in hand, a guest was heard saying, "It's not a party if the fire alarm doesn't go off!" And an artist who had been hired to draw the assembled remarked that, "The problem here is that no one stays still".
My predecessor at UNICEF, James P. Grant, once remarked that the problem before us "is not that we have tried to eradicate global poverty and failed - the problem is that no serious and concerted attempt has ever been made".
Consequently, we get from Remark 2.1 that the problem (1.1) has a positive solution u ( t ).
For parabolic problems, the treatment of non-compliant outputs follows the same strategy; we only remark that the dual problem in this case shall evolve backward in time [31].
We remark that this problem is an approximation of the primal problem (15) where the set S is replaced by a convex combination of feasible points ( v ( 1 ), p ( 1 ) ), …, ( v ( L ), p ( L ) ) ⊂ S and where x ∈ R 2 and u k denote the Lagrangian multipliers associated with the constraints A T λ=w and α≥μ T(p Tx−p (k))+λ T v (k) of the master program, respectively.
"You sometimes hear the remark that the main problem with the Vatican is it's 2,000 miles too far north," said Philip Jenkins, a professor at Pennsylvania State University and the author of "The Lost History of Christianity," about the early history of Christianity in Africa and Asia.
