Sentence examples for exactly the solution from inspiring English sources

Dr. Manuel Blum, a professor of computer science at Carnegie Mellon who took part in the Yahoo conference, realized that the failures of artificial intelligence might provide exactly the solution Yahoo needed.

In a tweet about the Egypt mosque attack, President Trump said the carnage was a reminder that those behind it must be defeated "militarily". That's exactly the "solution" that Mr. Sisi, like his predecessors, has championed.

In one case, an employee trying to help a pulp mill customer in the Pacific Northwest solve a dye-retention problem received several responses within a day from expert peers in Europe, South Africa, and Canada and one response provided exactly the solution the customer needed.

It is claimed that the solutions of the fixed point equation (4.2) are exactly the solution of the SFP.

More exactly the solution satisfies (2.3) with suitable u and N, such that ∥ x ( n ; x 0 ) ∥ ≤ v, n ≥ N + 1, (3.1).

Finally, we verify that the limit of the solutions is exactly the solution to the original BSDE, which completes the proof.

Finally, we verify that the limits of the sequences are exactly the solutions for BSDE (3.1).

We should note that there is no reason to match exactly the solutions to GSG and GR.

Therefore, the weak solutions of problem (P) are exactly the solutions of the equation Φ ′ ( u, v ) + λ J ′ ( u, v ) + μ Ψ ′ ( u, v ) = 0.

By Lemma 2.1, the critical points of the functional Φ − J − μ Ψ are exactly the solutions for problem ( P p, μ ).

Therefore, Schauder's Theorem ensures that T has a nonempty and compact set of fixed points in C ( I ), which are exactly the solutions of problem (4).