Sentence examples for with the probabilities from inspiring English sources

The game was repeated many times, with the probabilities changing periodically.

To see why this is true, note that aX + bY is itself a random variable, which assumes the values axi + byj with the probabilities h xi, yj).

The subroutine ode45 is employed for solving the set of equations associated with the probabilities of different system states.

In this scheme, the control functions are switched at random intervals, in accordance with the probabilities p11(l), p12(l).

A second problem is to relate the ensemble-based probabilities with the probabilities obtained in the earlier kinetic approach for a single gas model.

They depend on the variances of multiplicative noises, the one-step correlation coefficient matrices together with the probabilities of delays and packet losses.

It can be observed that our scheme obtains a good performance with the probabilities higher than 98% for different values of.

Crossover is supported by inheritance from two or more individuals with the probabilities of multiple parents and weight of inheritance between parents are determined by the search parameters.

Example Let X be a nonempty set and d 1, d 2 be two metrics defied on X with the probabilities p 1 = 0.5, p 2 = 0.5, respectively.

From there, we consider possible mechanisms for origins and finally deal in a rough and qualitative way with the probabilities for the likely terrestrial mechanism.

Since is a binary random variable taking on the two values and with the probabilities and, respectively, the variance is equal to the product of the probabilities and.