Sentence examples for exits a constant from inspiring English sources

Since, then there exits a constant such that a.e.

Thus, there exits a constant such that for all and, is fixed.

For,, then there exits a constant independent of and such that (4.6).

Let e 2 ∑ k = n n + m − 1 u k = M. Thus, there exits a constant M > 0 such that d ( x n + m, p ) ≤ M d ( x n, p ). for all n, m ∈ N and p ∈ F ( T ).

Meanwhile, we show that for any (tin[0,T]), there exits a constant (gamma'_{1}in 0,gamma_{1})) such that each positive T-periodic solution of Eq. (1.3) satisfies xbigl t-sigma(t)bigr)>gamma'_{1}.

A is said to be Lipschitz if there exits a constant L > 0 such that ∥ A x − A y ∥ ≤ L ∥ x − y ∥ 2, ∀ x, y ∈ C. For such a case, A is also said to be L-Lipschitz.

Therefore, there exits a positive constant (237).

Recall that an operator A of C into E is said to be α-inverse strongly accretive iff there exits a real constant α > 0 such that 〈 A x − A y, J ( x − y ) 〉 ≥ α ∥ A x − A y ∥ 2 ∀ x, y ∈ C. Evidently, the definition of an inverse-strongly accretive operator is based on that of an inverse-strongly monotone operator.

Recall that B is said to be an α-inverse-strongly monotone iff there exits a positive constant α such that 〈 B x − B y, x − y 〉 ≥ α ∥ B x − B y ∥ 2, ∀ x, y ∈ C. The classical variational inequality is to find u ∈ C such that 〈 B u, v − u 〉 ≥ 0, ∀ v ∈ C. (1.1).

(2 For every there exits a positive constants such that (2.12).

It implies that the probability of exiting an arrest is constant per unit time and is not influenced by the number or duration of prior arrests.