Sentence examples for useful properties of from inspiring English sources

We show that cost-efficient designs can be constructed using useful properties of the minimum support designs.

For measurable subsets A, B of ℝ, by A = B we mean m ( A ÷ B ) = 0. Let us recall some useful properties of a nonincreasing rearrangement operator.

Let us first give some useful properties of (operatorname{CAP}(S,T)) on the lines similar to Lemmas 1, 2, and 3.

Before we present various useful properties of M, let us recall the notion of a rectangular (which is also known as star or 3* monotone, see [20]) operator.

Useful properties of the μ-function are used to develop an algorithm that extends previous results on unstructured uncertainties.

Further, we give some useful properties of cone metric spaces, which allow us to prove convergence results for Picard iteration with a priori and a posteriori error estimates.

The constraint equations and useful properties of the desired mechanism are derived by using the concept of cross-ratio.

Here, we collect some useful properties of the (d_{infty} -metric, which will be used in order to obtain our results.

Other useful properties of the synthetics, such as solubility in cold water and flexibility in formulation, also contributed to their rapid replacement of soap products.

Some useful properties of net transitions are listed here.

The next result collects some useful properties of.