Sentence examples for the corresponding metrics from inspiring English sources

These classes are shown to be complete metric spaces with respect to the corresponding metrics.

We study asymptotic behaviors near the boundary of complete metrics of constant curvature in planar singular domains and establish an optimal estimate of these metrics by the corresponding metrics in tangent cones near isolated singular points on boundary.

The comparative result proves the efficacy and novelty of the proposed design showing improvement 51.62% in terms of number of transistor, 73.57% in terms of area (mm2) and 34.12% in terms of power (mW) with respect to the corresponding metrics of the best design in literature.

When the sample distribution for the difference between the corresponding metrics was not drastically different from normal, we also applied a two-sided one-sample t-test of the hull hypothesis that the mean value of the pair-wise difference between the metrics is zero.

We present an algorithm to determine { T ( u r ) }, given m s and m r, and we subsequently determine the corresponding metrics tmin and d M. We define the function f m s ( x ) = ( x − 1 ) mod m s + 1 which adapts the modulo operation to the range 1 ≤ f m s ( x ) ≤ m s.

Supplementarily we now give a separate proof without using the topological equivalence of ({d_{L^p}}) and ({e_{L^p}}) specified in Corollary 15 (see [54, Section 5.1] or [53, Section 5.1] for the corresponding metrics on (L^2) with different arguments).

Our goal is to study and understand the relationship between corresponding metrics, such as pr and p r ′, rc and r c ′, F1 and F 1 ′, etc.

Inspired by the social dimensions and corresponding metrics suggested in [23] we propose an extended framework to compare the topology of the intra-network of each cluster.

Four scenarios are prescribed and four corresponding metrics (the minimum, actual, random and maximum travels) are calculated, which reflect transit riders' different levels of elasticity of distance travelled (EDT) relative to the cost of travel within or between TSAs and how transit riders could possibly travel as EDT varies.

The Secretary shall establish performance indicators under paragraph (2) and corresponding metrics to be used for the purpose of reporting under paragraph (3) and program evaluation under subsection (i).

Mean plot values for the three independent variables (H70, H10, H95) at the highest pulse density were regressed against corresponding metrics determined at all lower pulse densities, for both scenarios.