Sentence examples for by the kernel q from inspiring English sources

(19) The correlations are described by the kernel q.

Next, we will prove that the kernel V q satisfies the following resolvent equation.

The potential T at a point P can be expressed in terms of anomalies Δ g(Q) at points Q on an exterior boundary σas 1where R is the reference radius of the surface (1738 km in our case) and the kernel S P, Q) is the Stokes-Pizetti kernel [ Heiskanen and Moritz, 1984].

All memory used by the kernel should be preallocated.

The space ℋ k is the reproducing kernel Hilbert space (RKHS) induced by the kernel function k.

At first glance, the transition kernel density q = q = 1/(2 n - 2) appears symmetric leading to a Hastings ratio of 1.

To evaluate the relevance of the defined kernels, we tested our method using each of the three kernels, and then the combination of the three kernels by the kernels mean method and by the SPG-GMKL method (see Section 2.2).

In this paper, we consider triple q-integral equation where the kernel is the third Jackson q-Bessel function and the q-integral is a Jackson q-integral.

The k-mer based kernels are inspired by the spectrum kernel [ 57], the (g, k -gappy k -gappy 58] and the mismatch kernel [ 58] which hand been proposed for sequence classificathen.

where the kernel Ω p i, q i, 1 ; r m, n is given in (1.18).

where the kernel Ω p i, q i, 1 ; 1 m, n can be obtained from (1.18).