Sentence examples similar to extension of cfs from inspiring English sources

A half-discrete Hilbert-type inequality with a general homogeneous kernel (k_{lambda} x,n)) of degree (-lambdainmathbf{R}) and a best constant factor (k ( lambda _{1} ) ) was obtained, which is an extension of (102) (cf. [125]).

Applying weight functions, a half-discrete Hilbert-type inequality with a general homogeneous kernel of degree (-lambda in mathbf{R}) and a best constant factor (k ( lambda _{1} ) ) are obtained as follows: int_{0}^{infty }f(x)sum_{n=1}^{infty }k_{lambda } x,n a_{n},dx< k( lambda _{1} Vert fVert _{p,phi }Vert aVert _{q,psi }, (9 which is an extension of (8) (cf. [35]).

Applying weight functions, a half-discrete Hilbert-type inequality with a general homogeneous kernel of degree (-lambdain mathbf{R}) with the best constant factor (k ( lambda_{1} ) ) is obtained as follows: int_{0}^{infty}f(x)sum_{n=1}^{infty}k_{lambda } x,n a_{n},dx< k(lambda _{1})|f|_{p,phi}|a|_{q,psi}, (11) which is an extension of (10) (cf. [34]).

In fact, mice that lack GluRδ2 at birth [7] or following conditional deletion in the adult cerebellum [12] experience an extension of the CF input in the distal domain, where formation or strengthening of PF-PC synapses is impaired.

It is, furthermore, a reasonable requirement that a semantic theory must account for our understanding of the sense and, hence, our methods of determining the extension of scientific terms (cf. Dummett 1991, 340).

The spatial positions of areas were calculated as the average surface coordinate (or center of mass) of the three-dimensional extension of an area (cf. [ 2]).

(31) We also find an extension of (31) as follows (cf. [4]).

Transverse resistance, mainly being a function of lithosphere resistivity (Palshin 1996), is an important quantity, controlling the spatial extension of coast-effect anomalies (cf. Kuvshinov et al. 1999; Vanyan and Palshin 1990; among others).

The metamodel was built based on the vocabulary commonly used in the context of CFs, for example: pointcuts, classifier extensions, method overriding, and variability selection.

On the other hand, when a transmission scheme that is a straightforward extension of the CP-OFDM case (cf. Section 2.1) is adopted, the residual intrinsic interference results from the violation of the assumption that the channels of adjacent subcarriers are the same.

Afterward many authors obtained many important extensions of this principle (cf. [1 16]).