Sentence examples for some general conditions from inspiring English sources

Then this paper discussed some general conditions by which these allocations are Pareto optimal.

For some general conditions which can ensure that the assumption (c) in Theorem 2.5 holds, we refer the reader to [17, Theorem 4.5].

Before performing the US, some general conditions for examining infants should be addressed, as these can affect the quality of the examination.

The assumptions in condition C3 and C11 on mixing coefficient (alpha (k)) is sufficient conditions for mixing coefficient, [25] pointed out this assumptions on mixing coefficient are satisfied given some general conditions.

Under some general conditions (i) and (ii) given above on the operator A, we obtain a local boundedness result for very weak solutions of K ψ 1, ψ 2 θ, r -double obstacle problems to the A-harmonic Equation (1.1).

It is shown that under some general conditions, the closed-loop system trajectories are bounded in probability and the outputs can be regulated into a small neighborhood of the origin in probability.

We show that when f satisfies some general condition, then the solutions of (1.1) have some 'bend-twist' property in the generalized phase-space.

The purpose of this paper is to investigate the top-down structure of the Riemann-Stieltjes integral and to state some general condition guaranteeing the existence of this integral, expressed in terms of the functional called truncated variation.

Inspired by the above obtained theorems, in this work, we will not only extend Theorems A, B, and C to ANA random variables, but also one obtains some much stronger conclusions under some more general conditions.

We suggest and analyze a new explicit projection method for solving the system under some more general conditions.

Under some fairly general conditions our method is able to find a most preferred plan i.e., an optimal plan.