Sentence examples for alternative conditions for from inspiring English sources

Savas [4] studied some equivalent alternative conditions for a sequence of fuzzy numbers to be statistically Cauchy and he continue to study in [5, 6].

Since the matrix exponential function on time scale can be difficult to compute, also alternative conditions for the constrained controllability to a convex target set are presented.

As alternative conditions for the uniqueness of a fixed point of a generalized α-ψ contractive mapping, we shall consider the following hypotheses: (H1) For all x, y ∈ Fix ( T ), there exists z in X such that α ( x, z ) ≥ 1 and α ( y, z ) ≥ 1. (H2) Let x, y ∈ Fix ( T ).

Recently, several groups reported alternative conditions for inducing a naive pluripotent state in conventional human ESCs (Chan et al., 2013; Gafni et al., 2013; Valamehr et al., 2014; Ware et al., 2014).

An alternative condition for the emotions and the ratios of social and cognitive terms of each participant is the assortativity with other participants.

An alternative condition for a convergence to zero of the recovered population, perhaps at a rate slower than exponential, is the convergence to zero of the function (5.13).

An alternative condition for a convergence to zero of the recovered population, perhaps at a rate slower than exponential, is the convergence to zero of the function (5.13) (see (5.4) with alternating sign on any two consecutive appropriate time intervals of finite lengths).  .

For all x, y ∈ Fix ( T ), we have α ( x, y ) ≥ 1, where Fix ( T ) denotes the set of fixed points of T. Theorem 10 Adding condition (U) to the hypotheses of Theorem 8 (resp. Theorem 9), we find that u is the unique fixed point of T. As an alternative condition for the uniqueness of a fixed point of a α-ψ contractive mapping, we shall consider the following hypothesis.

CT has demonstrated high sensitivity [6], and is more effective than barium enema in identifying communication between the GCD cavity and the gastrointestinal tract [6, 19], and of diagnosing alternative conditions, important for differential diagnosis.

Two alternative conditions are considered for the flow structure at inlet: fully settled powder at inlet, and progressive settling of an initially homogeneous slurry.

In this study other antibiotics were prescribed but trimethoprim and nitrofurantoin are rarely used for alternative conditions, thus prescription of these two antibiotics was assumed to be for urinary tract infection.