Sentence examples for with appropriate assumptions from inspiring English sources
Other models can also be simplified with appropriate assumptions.
He proved strong convergence of his process (1.12) with appropriate assumptions imposed upon the parameter sequences {α n } and {t n }.
The conditions at each moving boundary are expressed, with appropriate assumptions, as equations between the fluid potential and the vertical displacement of the boundary.
It is worth mentioning that the Weyl asymptotics for the operators that we investigate here are not of power-log-type as in the finite order (distributional) setting, but of log-type, which in turn yields that the eigenvalues of infinite order (Psi )DOs, with appropriate assumptions, are "very sparse".
The morphology during electrodeposition is directly controlled by the normal current density at any given position along the interface [44, 45], which is in turn, related to the normal local speed of the interface via a mass balance or Faraday law (with appropriate assumptions about the deposition efficiency).
We used Omega to estimate reliability, because compared to Cronbach's alpha, Omega provides a better estimate with more appropriate assumptions (Crutzen & Peters, 2017; McNeish, in press).
With some appropriate assumptions, we prove the strong convergence of (1.8), (1.9), and (1.10) to the unique solution of the variational inequality in, where is the single-valued normalized duality mapping from into.
The topography measurement of a planetary body, when combined with gravity (and appropriate assumptions), enables quantification of not only the size and shape of the planetary body, but also of critical geophysical parameters, such as crustal thickness and subsurface density anomalies.
It follows from Example 4.2 that when the equation has a gradient term with exponential decay, the appropriate assumptions on the functions g and b can guarantee the solution of (1.1) to be global.
Then, with an appropriate assumption, the higher-order integrability of variational solution is obtained.
Therefore, finding a proper model with an appropriate assumption for the distribution of errors would be a valuable contribution to the field of exchange rate modeling in Bangladesh regarding the BDT against the US dollar.
