Sentence examples for be restated as optimization from inspiring English sources

D-Wave thinks that many problems in computing might be restated as optimization problems and that its machine could be coupled with cloud computing systems for particularly hard problems.

Replacing w ~ i = p i w i, the optimization (4) can be restated as maximize p 1, …, p K ∑ i = 1 K log 1 + ρ i p i subject to ∑ i = 1 K γ i p i ≤ P p i ≥ 0, where γ i = [(H H H ,i1]i,i.

The conjecture can be restated as a comparison problem for Brownian motions with reflecting boundary conditions.

Then can be restated as (2.9).

This improved result can be restated as follows.

Then the above statements can be restated as follows.

By Lemma 4.2, Theorem 4.1 can be restated as follows.

Then, and (I) can be restated as (3.11).

then, and (3.1) can be restated as (3.5).

Thus condition (e) above can be restated as, and for any eigenvalue of with,.

Thus system (13) has the same form as system (2.5) in [48] and can be restated as a Riccati equation: d x d y = y + x 2 ε. (14).