Sentence examples for with a given random from inspiring English sources

Each run of the simulator initialized with a given random number thus represents a virtual mouse.

The significant feature of the proposed approach is that it not only improves the numerical accuracy of deterministic output quantities with respect to a given random variable, but also overcomes the inherent drawbacks of conventional second-order perturbation approach, which is satisfactory only for small coefficients of variation of the stochastic input field.

where x ˜ u, 0 is a given random variable with E ( | x ˜ u, 0 | 2 ) < ∞ for each u ∈ [ 0, 1 ].

After statistical analysis of maximum axial forces from all experiments, the average maximum axial-force interval that the remaining bolts can withstand under a given random condition is estimated with a 95% confidence level.

These measurements are obtained by a sensor network with a given topology, where random packet dropouts occur during the data transmission through the different network communication channels.

If the collateral damage associated with a given locus is random, i.e. if there is no hidden bias in the multivariate distribution of damage, the error would not show a consistent direction and would average out at zero.

It was found that in general there is little difference in the number of false positives found with a given cutoff when using random databases of the same size.

Furthermore, the enriched biological processes (GO) as well as enriched chromosomal regions (both referred to as "terms" in the following) for each cluster were accounted for by calculating the probability of having at least the observed number of probe sets associated with a given term, assuming a random selection of probe sets.

In each slice, systematic deviations are represented by polar and radial functions and random deviations are modeled by translating the contour points with a given distance derived from the random field theory.

Erdös and Renyi [10] proposed a model to generate random graphs with a given number of vertexes, where each possible egdes has a fixed probability to exist.

From expression (4) it can be seen that the SNR at a receiver with a given is an exponentially distributed random variable with probability density function (5).