Sentence examples for equation can be factorized from inspiring English sources

The equation can be factorized as (28).

It is shown that the characteristic (dispersion) equation can be factorized into product form.

The resulting X min ( 3 ) has supports at 0, 2 and 3 with respective probabilities of 0.3, 0.1 and 0.6, leading to its generating function q = 0.3 + 0.1 q 2 + 0.6 q 3. Using the knowledge that the generating function has a root at q=1, this equation can be factorized as: 0 = ( q − 1 ) ( 3 q − 1 ) ( 2 q + 3 ).

The RP for a slotted ALOHA scheme with a Rayleigh fading channel is calculated by using Equation 2, and [45] shows that it can be factorized into reception probabilities of noise-only p r N and interference-only p r I networks given as p r : = â„™ ζ ij ≥ ζ t = 1 − F ζ = exp − ζ t ζ ij.

Certain kinds of matrix-valued functions can be factorized using the Potapov factorization theorem.

One can show that S ‾ PP is sparse and that it can be factorized using standard sparse LU factorization [12].

The final term is the joint prior for all model parameters and can be factorized into P P (m ) P. Our goal here is to use MCMC to draw samples from Equation (1), thus allowing us to uncover what the data have to say about the structured tree and the demographic and evolutionary model parameters.

The Hilbert space of the universe Huniv, like any Hilbert space, can be factorized in countless ways.

It is assumed that the autocorrelation matrix,, is positive definite [23] with eigenvalues, ; hence, it can be factorized as; (30).

The matrix A can be factorized as mathbf{A}=mathbf{U}mathbf{Phi} mathbf{V}^{H} (24).

This is applied to the set of models that can be factorized into a rational MIMO model in series with left/right diagonal (multiple) delay matrices.