Sentence examples for assumptions were obtained from inspiring English sources

Assumptions were obtained from a systematic literature review, analysis of Medicare claims data, and clinical experts.

(The parametric assumptions were obtained through an ANOVA test and a Kruskal-Wallis test. A statistical significance level of 0.05 was used. EPIINFO 200 was used to build the database and to analyse the data.

The two ideal crack boundary conditions, namely, the electrically impermeable and permeable crack assumptions are obtained as two special cases for the current solution.

Moreover, we introduce the system of common fixed points, and common fixed point problems without convex assumptions are obtained.

A new nonempty intersection theorem for an infinite family of set-valued mappings without convexity assumptions is obtained.

Li et al. [18] discussed the stochastic logistic population under regime switching, and sufficient and necessary conditions for stochastic permanence and extinction under some assumptions are obtained.

As generalizations, mixed systems of common fixed point problems, systems of common fixed point problems, and common fixed point problems without convex assumptions are obtained.

In 2006, by employing Mawhin's continuous theorem, Cheung and Ren [12] studied how the existence of the p-Laplacian Rayleigh equation bigl varphi_{p}bigl u'(t bigr bigr)'+f bigl u'(t bigr)+beta gbigl ubigl t-tau(t)bigbigl ubigl t-tauer various assumpt bigr bigrtained.

These assumptions are obtained through using the problem information and inferring ways that can be applied to this problem.

Some widely used approximations, like the pseudo-first-order assumption, are obtained as special cases.

Further evidence for this assumption was obtained by growing pigmented and unpigmented KT71T cells under identical conditions in defined semiaerobic medium containing 6 mM DL-malate as substrate (Table 1).