If we replace condition (c-3) with (c-1) in Theorem 2.1 and start the proof of the theorem with initial points (u_{0}in X) and (u_{1}in Tu_{0}) for which (c-3) holds, then the conclusion of Theorem 2.1 remains the same.
Then f has a unique fixed point; if x = f ( x ), then x ∈ Ker p and x = lim n → ∞ f n ( x 0 ) in ( X, d ), x 0 ∈ X. Proof We follow the initial part of the proof of Theorem 27 preceding the sentence with condition (20) (Proposition 16 yields φ ∈ Φ P ).
This would indeed be a blockbuster drug but with the proof-of-principle and initial registration via rare diseases.
Convergence toward the entropy solution is proven via a new technique of proof, assuming that the initial data has a finite number of extremum values only, and the flux-function is strictly convex.
The best proof of his initial boundless confidence — obviously wasted on Captain Less — was that for the first time in his life he admitted his early disasters, although he must have been aware of the fact that he thus contradicted several important entries in the records he had supplied to Nazi authorities.
Indeed, while the use of cells lacking functional caspase-8 may seem redundant, they are included in the primary screen here due to the "proof-of-concept" nature of the initial screen and should allow for more rigorous identification of any anomalies.
They realize that the lack of standards and unproven manufacturing technologies makes it difficult for various producers to commit to the adoption of the initial proof of concepts that were available.64 The two concerns together led DuPont to organize a top level strategy meeting in Greece in 2010, to identify ways of moving forward.
Based on proofs of the unique solution of the initial value problem, which is dependent continuously on all variables, we get the continuity of normalized eigenfunctions.
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