Sentence examples for for the characteristic function of the from inspiring English sources

Here and in what follows, denote by, and for the characteristic function of the set.

The algorithm is based on an integral equation for the characteristic function of the run length and uses efficient and accurate formulas based on Gaussian quadrature rules.

For every we denote by the characteristic function of the set.

For every set we denote by the characteristic function of the set.

According to [45], for x ∈ X we write { x } the characteristic function of the ordinary subset { x } of X.

Once the characteristic function of the decision variable has been calculated, the BER for different modulation schemes can be computed.

Denote the characteristic function of the interval.

For a measurement update, the a posteriori characteristic function of the unnormalized conditional probability density function (ucpdf) of the state given the measurement history is obtained as a convolution of the a priori characteristic function of the ucpdf with the characteristic function of the measurement noise.

A Berry-Esseen-like inequality is provided for the difference between the characteristic function of a weighted sum of conditionally independent random variables and the characteristic function of the standard normal law.

end{aligned}For example, the delta-function (delta _v) is extended to the characteristic functions of the subset (vX^omega ), which we will also denote (delta _v).

For any the function denotes the characteristic function of.