Sentence examples for assumptions given by from inspiring English sources

Comparing with assumptions given by Chen and Chen [1], we can see our assumptions in Theorem 3.1 are more reasonable, and our result indicate that feedback control variables and toxic substances have no influence on the permanence of system (1.3).

Under the assumptions given by the model, we were able to notice that, in general, communication within the social collaborative networks has a positive correlation with average strength of interactions between the individuals partaking in the games and also with the global collective utility (given by the sum of the individual payoffs).

For both incidence and effectiveness DSA, the probabilities of infection in the epidemiological model were specifically calibrated to match the observed baseline under the new assumptions given by the scenario.

They are also heavily dependent on parameters specified by assumptions given by the user that could be incorrect and are not easy to implement in more complicated models, which could include maternal effects or random regression.

When deriving the probabilities of false alarm using AIC and MDL criterion, was assumed the assumption given by (4.16) at hypothesis H0.

end{aligned} (2.6) By the assumptions given above, we get begin{aligned} mathbb{E}Bigl( sup_{0 leq s leqeta }bigl|(CX)(s bigr|^{2}Bigr) leq&2 M biggl[ etabiggl( int_{0}^{eta} mathbb{E}bigl(bigl|Xbigl(f(theta) bigr bigr|^{2} + 1bigr),dthetabiggr) &+ 4 int _{0}^{eta} mathbb{E}bigl(bigl|Xbigl(f(theta) bigr bigr|^{2} + 1bigr),dtheta biggr].

In this paper, the following assumptions are given by.

The weight of particle ɨ[15] using the aforementioned assumptions is given by w k = w k − 1 ∏ u = 1 U p 1 y u, k | X k ∏ i = 1, i ≠ ɨ N p 0 ( i ) y u, k ( i ) | X k ( i ) ∏ λ = 1 Λ b λ, k × p X k | X k − 1.

An alternative measure of the strength of evidence in favour of association of a variant with T2D susceptibility, which takes account of the power of the test at the cost of additional modelling assumptions, is given by the Bayes' factor [ 27, 28], the ratio of likelihoods of the observed distribution of genotypes in cases and controls under the alternative and null hypotheses.

A simple kinetic analysis of adsorption under the pseudo-first-order assumption is given by Eq. 3.

The adaptive matched filter (AMF) [20] detector under the assumption is given by frac{left | mathbf{s}^{H}mathbf{R}^{-1}mathbf{x} right |^{2}}{mathbf{s}^{H}mathbf{R}^{-1}mathbf{s}} underset{{H_{0}}}{overset{{H_{1}}} tau, (3).