Sentence examples for satisfy the hypothesis from inspiring English sources

Let X, C, T, ({alpha_{n}}), ({beta_{n}}), ({x_{n}}) satisfy the hypothesis of Theorem  3.1 and let T be a mapping satisfying Condition (I).

Let denote the set of all the occupied 's that satisfy the hypothesis in (9).

Let and Therefore and satisfy the hypothesis of Theorem 3.1 where has property (i) and has property (ii).

When does not satisfy the hypothesis (3.11), we study the time almost periodic viscosity solutions of (3.47).

All maximum feasible variances of intervals that satisfy the hypothesis of Bartlett's test are computed with this iterative procedure.

However, note that s = 1 and n = 3, which does not satisfy the hypothesis s > n − 2 in Lemma 2.1.

Suppose that satisfy the hypotheses.

Then they satisfy the hypotheses of Lemma 3.5.

Let system (3) satisfy the hypotheses of Assumptions 1-3.

All examples below satisfy the hypotheses of Theorem 1.1.

Remark 3.2 The following sequences satisfy the hypotheses on the parameter in Theorem 3.1.