Sentence examples for basis c from inspiring English sources

where the local basis c ~ A = ( z ~ a, v ~ a ) Open image in new window is the dual to c ~ A = ( z ~ a, v ~ a ) Open image in new window.

Standard orthonormal bases such as a discrete cosine transform (DCT) basis C or wavelet basis W are quite popular in sparse signal representation for communications as well as image processing.

It is convenient to introduce a new local basis c ~ A = ( z ~ a, v ~ a ) Open image in new window on sections of L π E Open image in new window when c ~ A ÷ ( z ~ a = C ae b u e v b + z a, v ~ a = v a ) Open image in new window (7).

It is assumed that a) full spectral sharing is used (i.e., frequency reuse is 1), b) radio resources are independently allocated between cells (i.e., PRB allocation is done on a cell basis), c) users are uniformly distributed in a cell, but unevenly distributed among cells, and d) any user has infinite data to transmit (i.e., full buffer service model).

For simplicity, we choose J = 2 and construct, according to [29], the two scalable basis filters C j (r)(j = 0, 1) as: C j r = a j cos π 2 log 2 2 r π + R j, (11).

Iterating this process, we eventually obtain a GS basis S c that contains S and generates the same ideal, I d ( S c ) = I d ( S ).

Then the sequence ( e ( k ) ) is a Schauder basis for c 0. Moreover, { e, e 0, e 1, … } is a Schauder basis for c.

Study after study has concluded that – unless you live in a frozen wilderness, smoke an incredibly large number of cigarettes or subject yourself to extreme physical stress on a regular basis – vitamin C won't do anything.

Please note that fees: (a) are quoted in GBP; (b) shall apply to all Licensed Products unless you were commissioned on a no-fee basis; and (c) are subject to variations that may be applied by our editorial offices in your local territory.

Let (mathsf {B}_infty ) be the associated ordered basis of (C(X^omega, Bbbk )).

A related basis of (C(X^omega, Bbbk )) is the Haar basis, which is constructed in the following way.