Sentence examples for instance given by from inspiring English sources

In many past studies, the excess pressure at the sea bottom due to a tsunami is usually assumed to be given by a static contribution from the tsunami height; for instance, given by ρ0g0η, where ρ0 is the density of sea water, g0 is the gravitational constant and η is the tsunami height.

Proof Sketch 1 Sketch of the Decider Correctness Proof) To prove the correctness of the decision algorithm, the equivalence of the following two statements must be shown: A PM exists in the PMPC instance given by (mathcal {G}) and (bar {mathcal {G}}).

The codon usage pattern of a given species s is, in first instance, given by the list of the genomic frequencies of the codons, 0 ≤ C i,s ≤ 1, i = 1,2, …,64 such that ∑ i C i,s = 1.

The theorem states that all the equilibria p ∈ E are located such that p S < p < p L. We introduce a totally asynchronous algorithm that generates a sequence of powers that converges to the smallest Nash Equilibrium p S. Suppose that the serving set Data-AEs for user k update their power at time instances given by the set T k = {t k1, t k2, t k3, …} where t kl < t k(l + 1) and for t k0 = 0 all k.

To determine the effect of using the DSS in practice, we tested the developed DSS on the instance given in Section  3 by means of a simulation study.

For instance, given the narrow content shared by Oscar and Twin Oscar when they think, "Lake Superior is full of water," we do not have enough information to say whether that thought is true or false in a particular situation.

For the same noise variance at each user, the minimum transmit power required for a particular channel instance is given by the following expression [15, 17]: p tx ( h 1, h 2, …, h K s ) = ∑ i = 1 K s γ i h i † Z i - 1 h i, (6).

A particular problem instance is given by an input sequence, or several thereof.

Discriminant value for a testing instance x given by a trained classifier is: f(x) = ∑ i α i y iK x,x i) + b.

An interesting instance is given by the phenylalanyl-tRNA synthetase, in which the α and β chains have a Clostridium and Geobacter (delta-proteobacteria) best sequence similarity match, respectively.

The significance p-value of observing k instances assigned by the algorithm to a given category in a set of n instances