Sentence examples for consists exactly from inspiring English sources

It follows that D⊙D consists exactly of the H1-functions whose real and imaginary parts are single products of Dh-functions.

Since cosets are uniquely identified by the so-called syndromes, embedding/hiding consists exactly in searching with syndrome, close enough to.

For example, one may consider the idea that whenever there are some things, there exists a whole that consists exactly of those things i.e., that there is always a mereological sum (or "fusion") of two or more parts.

By Lemma 2.1, ω w (x n ) consists exactly one point which is a fixed point of T. Consequently, the sequence {x n } is Δ-convergent to some point x⋆ in F(T).

On the other hand, the diagram in Figure 5 shows that the converse does not hold: there are two parts of y in this diagram that do not overlap x, namely z and w, but there is nothing that consists exactly of such parts, so we have a model of (P.5) in which (P.6) fails.

The closure of the set of polynomials in A β is denoted by A β, 0, which is a separable Banach space and consists exactly of those functions f in A β satisfying the condition lim | z | → 1 − ( 1 − | z | 2 ) β | f ( z ) | = 0.

Quantification over first order propositions gives rise to a new type, consisting exactly of second order propositions.

end{aligned} (10.1)This functor is fully faithful, and as in Definition 10.2, its image consist exactly of cosections (E') such that (varepsilon (E') cong langle E,mathsf{id}rangle ).

But this idea flouts the initially plausible principle of recombination for possibility of objects, which says that if x is a possible object and y is a possible object independent of x, then the totality consisting exactly of x and y is a possible object.

Too bad it's not clear in the film what that intelligence consists of, exactly.

Representative Dan Burton of Indiana said: "Let us look at the A.N.C. and see what it consists of exactly.