Sentence examples for a basic sequence from inspiring English sources

There are only eight dancers in Russ Vogler's metallic gray costumes, executing mechanical movement as they repeat a basic sequence and gradually add more detail.

The vastly increased accuracy permitted by photographic techniques, which unlike the subjective eye were not misled by the different colours of the stars, depended upon the establishment of a basic sequence of standard magnitudes for comparison.

In VNG, a basic sequence is composed of a canonical narrative pattern (Cohn, 2013b).

A basic sequence ((x_{k})_{k=1}^{infty}) is called subsymmetric just in case it is unconditional and equivalent to each of its subsequences.

A Banach space X is said to be NUS provided that for every (varepsilon>0) there is (eta>0) such that if (tin 0,eta)) and ({ x_{n}}) is a basic sequence in (B X)), then there exists (k>1) so that (Vert x_{1}+tx_{k}Vert leq1+tvarepsilon) (see [3]).

The song follows a basic sequence of B-F-Gm-E as its chord progression.

A normalized basic sequence generates a spreading model if for some, for all, and, (2.22).

We prove that any fractal measure μ obtained from an affine iterated function system possesses a sequence of complex exponentials which forms a Riesz basic sequence, or more generally a Bessel sequence, in L2 such that the frequencies have positive Beurling dimension.

An equivalent norm is constructed onTso that ‖s1+s2‖<2 whenever (sn) is a spreading model of a normalized basic sequence inT.

In the case where X contains an infinite-dimensional separable dual space or an unconditional basic sequence, the set A may be chosen in a way that ∥x±y∥⩾1+ε for some ε>0 and distinct x,y∈A.

Lindenstrauss and Tzafriri [1] studied the uniform boundedness which means that if ((x_{k})_{k=1}^{infty}) is a subsymmetric basic sequence, then there is a uniform constant (C geq1) such that if ((x_{k_{n}})_{n=1}^{infty}) is any subsequence and ((varepsilon _{n})_{n=1}^{infty}) is any sequence of signs, then ((x_{k})_{k=1}^{infty}) is C-equivalent to ((varepsilon _{n}x_{k_{n}})_{n=1}^{infty}).