Sentence examples for excluding the case from inspiring English sources

Then considering cases for which response stationarity will be achieved, i.e., excluding the case of an elastic-perfectly-plastic oscillator, algebraic equations for the response moments are found.

(3) Game 2: Excluding the case in which adversary accesses to oracles with the information of the secret key directly from the adversary's win.

Excluding the case of a pressure angle of 20°, the maximum contact stress was at the lowest point of single-tooth contact.

By assuming a minimal amount of noise coloring under (mathcal {H}_{0}) and excluding the case of complete noise correlation, we restricted the support of the largest noise correlation coefficient, such that ϱ max∈ 0,1).

To the best of our knowledge, there are few studies on the rate of convergence of density of normalized maximum except the work of de Haan and Resnick [10] for local limit theorems and Omey [11] for rates of convergence of densities with regular variation with remainders excluding the case we will study in this paper, i.e., the general error distribution.

Excluding the case of Mt. St. Helens during the paroxysmal event (Hobbs et al. 1981 , 1982, high H2S flux over several hundred t/d is measured only when SO2 flux is over several thousand t/d with probable magmatic gas composition (Hobbs et al. 1982; Werner et al. 2013).

The justification for excluding the cases was usually that they lacked sufficient documentation or involved a type of contamination that was outside the scope of the study.

When excluding the cases with no fetal pole, the median discrepancy of EDUGA versus RGA was 2 days (interquartile range (IQR) 1 to 3.25).

f Excluding the cases of leukocythemia and non-Hodgin disease.

Excluding the cases outlined above, 34 patients could be evaluated.

Thus, we expect that excluding the cases with missing data would not cause any substantive biases.