Sentence examples for satisfies statements from inspiring English sources

It is easy to observe that (H omega )) satisfies statements (1.4) and (1.6) in Theorem 1.2, now we only need to prove that (H omega )) also satisfies (vert H omega ) vert ^{2}+ vert H( omega +pi ) vert ^{2}=1).

((X,tau(d),leq)) has the orbital decreasing convergence property with respect to f. Obviously every continuous mapping satisfies assertion (4) in the statement of Corollary 17.

where the fuzzy mapping satisfies above statements.

end{aligned} (41) As a consequence of the two previous steps, we have already proved that if (Min[bar{M},bar{M}-lambda_{2}]) then the Green's function satisfies the statements (35), (39), (40) and (41) and that if (M>bar{M}-lambda_{2}) Green's function oscillates on (I times I).

See Davidson v. Board of Governors of State Colleges and Universities, 920 F.2d 443, 443 (CA7 1990) (ADEA satisfies "clear statement" requirement).

Organizers said they were not satisfied with statements by police officials that the incident was under investigation.

Ireland's farm minister said that his country, whose farmers receive euro1.3 billion ($1.5 billion) a year in direct payments from the EU, was "fully satisfied".Such statements arouse the suspicions of countries outside the EU that had wanted a much fuller and faster reform.

We shall prove that the above sequences {r m } and {y m } satisfy the statements of the lemma.

It is enough to show that the point, obtained in Theorem 2.4, satisfies the statement of the theorem.

It is enough to show that the point z, obtained in the Theorem 5, satisfies the statement of the theorem.

To satisfy that statement, Landweber split the library into two.