Sentence examples for asserts there exists from inspiring English sources

This asserts: there exists a concept G such that for every object x, x falls under G if and only if x is odd and greater than 5.

We assert there exists B > 0 such that every possible periodic solution u ( t ) of (19) satisfies ∥ u ∥ ≤ B. If not, there exists λ k → λ 0 and the solution u k ( t ) with ∥ u k ∥ → ∞ ( k → ∞ ).

Thereby, condition allows to assert that there exists, such that for all (3.9).

The paper asserts that "there exists no appropriate judicial forum to evaluate these constitutional considerations".

An utterance of (9) asserts that there exists a possible world in which Jacques Chirac is a member of the Socialist party, which he in fact is not.

Condition (i) asserts that there exists a convergent subsequence ({ delta_{n_{i}}}) of ({delta_{n}}) such that (lim_{i toinfty}delta_{n_{i}}<1).

Since (X_{k,M} t,u -overline {X}_{k,u -overline almost surely bounded for large M and K on every compact subset of (mathbb {X}_{kkslash M} tbb {R}_),uMontel's theorem asserts that there exists almosterging surelyuence, which converges to an analytic function.

Neuro-immunological research asserts that there exists a bidirectional relationship between sleep deprivation and the immune system.

Professor Ledenyov, of the Moscow Conservatory, the oldest composer present, serenely maintained the old Soviet line, asserting that "there exists a Russian school of composers" characterized by "a conglomerate of certain features peculiar to this national culture and its folk music".

First, we assert that there exists such that is completely continuous.

Also, we can assert that there exists x ∈ ( Ω ¯ 2 ∖ Ω 1 ) ∩ K such that L x = N x.