Sentence examples for a necessity part from inspiring English sources

For example: 'Therefore, color, fun, wonderful experience, weather etc. are a necessity part of life in Jonas' opinion.

Now we prove the necessity part of (a).

Now, let us show that the elements in E ( A ) are commutative to conclude the necessity part of the proof.

Remark 3.4 The sequence { x k }, constructed in the necessity part of above lemma, is an example of a lacunary statistical bounded sequence which is not statistical bounded.

Remark 3.2 The sequence { x k }, constructed in the necessity part of above lemma, is an example of a statistical bounded sequence which is not lacunary statistical bounded.

To show the necessity part, suppose that E is an eigenvalue and Φ an associated eigenvector.

Though a massage may sound like a luxury, it can become a necessity as part of a training regimen.

For Europe, of course, a common competition law is a necessity, in part because the 15-nation European Union plans to expand to as many as 25 nations, creating a huge market that is supposed to encourage competition.

Lemma 4.1 Let p be the smallest prime dividing the order of a group G, and let P be a Sylow p-subgroup of G. Then G is p-nilpotent if and only if every cyclic subgroup of P of order prime or 4 (if P is a non-abelian 2-group) not having a supersoluble supplement in G is weakly Φ-supplemented in G. Proof The necessity part is obvious.

To The Times he was more than a proprietor; he was what he had been to Foreman Collins of The Knoxville Chronicle-- a neChronicle-- a to part with". The least pretentious of men, he refused to make a mystery of his own suChronicle-- a

That's the "necessity" part – the ideology was derived ostensibly from the early postwar years, and Nye Bevan's promise that council housing would be for doctors as much as miners, with no segregated communities or one-class estates – private or public.