Sentence examples for corresponding normality from inspiring English sources

The plastic flow of matrix and the void growth are dealt with separately after we show that two separated loading sub-surfaces and corresponding normality rules for matrix and damage exist.

Influenced from Bloch's principle ([1] or [4]), that is, there is a normal criterion corresponding to every Liouville-Picard type theorem, Fang and Yuan [5] proved a corresponding normality criterion for inequality (1.2).

Conversely, the corresponding normality tests for residuals with non-transformed response variable ϒ i j k λ were all significant at the 5% level.

Since both control groups (pediatric patients with ED and BD, respectively) did not show normality, the corresponding 97.5 % percentiles were determined instead.

Fixed point theorems of contractive mappings in cone b-metric spaces without the assumption of the normality of a corresponding cone are proved by Huang and Xu in [27].

Pearson residual normality plots and corresponding histograms, as well as Hosmer and Lemeshow goodness-of-fit tests (p = 0.69 for lead and p = 0.47 for cadmium) indicated that models fit reasonably well (data not shown).

Again assuming normality, the equation corresponding to (1) is \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$P_{ij} = \Phi\left(\frac{\hat{\mu}_{i} - \hat{\mu}_{j}}{s_{ij}}\right).

Thereafter, asymptotical normalities of the corresponding estimators are proved.

Since the percentage PDE values showed a marked deviation from gaussian expected values on a normal Q-Q plot, and gave a Kolmogorov-Smirnov statistic of 0.37, corresponding to a significant deviation from normality (df = 8, p < 0.05), a non-parametric measure of correlation was calculated between ethane levels and the corresponding percentage PDE values.

The corresponding plastic strain vector respects the normality rule and can vary substantially with stress state.

By the bound derived, we obtain the corresponding convergence rate of uniformly asymptotic normality, which is nearly (O(n^{-1/6})) under the given conditions.