Sentence examples for assumptions of Part from inspiring English sources

The assumptions of Part (1) imply (3.65).

Let all the assumptions of part (A) with and be true.

and u x,t) is the solution to problem (P1); (b) Under the assumptions (HD), (HE) and (HF) we have that w(1,t) > 0, ∀ t > 0;   (c) Under the assumptions of part (b) we have that w x,t) > 0, ∀ x ∈ (0,1), ∀ t > 0;   (d) Under the assumptions of part (b) we have that u x,t) > 0, ∀ x ∈ [0,1], ∀ t > 0;   (e) Under the assumptions of part (b) we have that u x,t) ≤ u 1, ∀ x ∈ [0,1], ∀ t ≥ 0.  .

Common-sense calls for a shared assumption of part of Europe's sovereign debt are going nowhere.

As a consequence, the stakeholders can make assumptions on parts of the organizations that are unfamiliar to them, and the organizational complexity is reduced.

According to the theory of shared understanding [1], the formalization of a process in a software project helps reduce the overall complexity, and once the stakeholders are familiarized with the process itself, they can make assumptions on parts of the organizations that are unfamiliar to them.

We know these facts are not always true and that deductions using these facts will not be "logical", but these structured sets of assumptions are part of the context of everything we say and think.

His assumption of the part is especially welcome since he had withdrawn at short notice from New York Philharmonic concert performances in 2000, subsequently recorded.

His tone no longer has the lustre of youth, but it was constant and firm, and his easy and casual assumption of the part (he's sung it at the Met, under the baton of Julius Rudel, and at La Scala) provided a dramatic center for the entire performance.

The point is that according to the assumption of this part of the argument, the term 'genus' has to stand for a number of distinct entities, no matter whether they are taken to form a collection or not.

In sum, this consists of (a) acknowledging that biological background assumptions are part of risk assessment, even if rarely explicated; (b) identifying which biological background assumptions are at play and how; (c) finding empirical and/or argumentative reasons (for instance through 'inductive risk') to adopt one set of assumptions rather than another.