Sentence examples for does there exists from inspiring English sources

In the other words, under what condition does there exists a homomorphism near an approximate homomorphism?

Does there exists an iteration process whose rate of convergence is faster than Normal S-iteration process for contraction mappings?

Given ε > 0, does there exists δ > 0 such that if a function h: G1→ G2 satisfies the inequality d h ( x y ) - h ( x ) h ( y ) < δ, ( x, y ∈ G 1 ), then there is a homomorphism H: G 1 → G 2 with d ( h ( x ), H ( x ) ) < ε, ( x ∈ G 1 ) ?

Given ε > 0, does there exists a δ > 0 such that if f: G1 → G2 satisfies d (f (x * y), f(x) · f y)) <δ for all x, y ∈ G1, then there is a homomorphism g: G1 → G2 with d (f (x), g(x)) <ε for all x ∈ G1? Hyers [2] gave the first affirmative partial answer to the question of Ulam for Banach spaces.

Does there exist "processor affinity" ?

Does there exist a loop of size 100?

Does there exist, anywhere, an unadulterated land of childhood fantasy and imagination?

Does there exist a Greek island which is not self-catered to death?

Nowhere does there exist a greater chance of making an amazing discovery than in a museum collection.

For which n and λ does there exist a λ-fold block design with block size 4 having a metamorphosis into a λ-fold triple system?

This research raises a fundamental question: "Are reliability and safety factor equivalent?" or "Does there exist a one-to-one functional relationship between reliability and safety factor?".