Sentence examples for exists real from inspiring English sources

Still, some folks can't leave the fantasy of a complete clan alone, and they carry with them, always, the childish hope that such a society exists, real and true and unimpeachable.

There exists real number such that.

However, we note that, in the absence of prescribed legal rigidity, there exists real freedom for risk managers to test different approaches to societal risk governance (including more complex, non-linear, multi-disciplinary and inter-disciplinary models) such as those described within a recent Tristan da Cunha case study (Hicks et al. 2013).

Suppose that p→+∞, and there exists real constant ({mathcal Z} < 0) such that the parameters μ=μ p and λ=λ p vary in such a manner that the following two conditions are met: lambda_{p}^{1/ p-1)} rightarrow lvert{mathcal Z}rvert, (45).

Assume that there exists real numbers θ ≥ 0 and p > 1 such that an even mapping f : X → Y satisfies (3.12) and f(0) = 0. Then there is a unique quadratic mapping Q : X → Y satisfying (1.1) and the inequality N ( f ( x ) - Q ( x ), t ) ≥ min N ′ θ x p, ( 4 p - 4 t ) 2, N ′ θ x p, 2 - 8 4 p t. Proof.

Assume that there exists real number θ ≥ 0 and 0 < p < 1 such that a mapping f : X → Y satisfies (3.12) and f(0) = 0. Then there are unique quadratic and additive mappings Q : X → Y and A : X → Y (respectively) satisfying (1.1) and the inequality N ( f ( x ) - - A ( x ) - Q ( x ), t ) ≥ min N ′ θ x p, ( 1 - 4 p + 1 ) t 4 p, N ′ θ x p, ( 2 - 2. 4 p + 1 ) t. Proof.

Since therefore there exist real numbers and.

There exist real numbers and continuous functions such that.

(1) there exist real number, such that (2.25).

(A2 There exist real constants such that,, and for all,, (1.5).

By Definition 2.1, there exist real numbers,,,, such that (2.3).