Sentence examples for behavior of the sequence from inspiring English sources

The first result of this work discusses the convergence behavior of the sequence generated by (2.1).

Our first result discusses the convergence behavior of the sequence generated by (2.1).

Remark 4 This theorem expresses a simple asymptotic behavior of the sequence h ( n ) = H n ( x ).

As compared to the SM-NLMS algorithm, the behavior of the sequence (left {|tilde {mathbf {w}} k)|^{2}right }) for the NLMS algorithm is very irregular.

The behavior of the sequence ( D k k = 0 ∞ is studied when the parameters vary. Further refinements of discrete Jensen's inequality can be derived from these results.

We investigate the asymptotic behavior of the sequence { x n } generated, from an arbitrary x 1 ∈ C, by the algorithm (3.1) to a common fixed point of the sequence { T n }.

We also study the behavior of the sequences when the parameters vary.

However, there are issues that raise questions about whether the behavior of the sequences of quantum state labels is enough to qualify the system as chaotic.

In [10, 11], the dependence of the structure of the spectral singularities of the BVP (1.1), (1.2) on the behavior of the sequences ( a n ) and ( b n ) was considered.

Section 4 is devoted to some asymptotic behavior of the sequences { ( u n, v n ) } ⊂ W 0 1, 4 × W 0 1, 4 and { μ n } ⊂ ( 0, 1 ] satisfying some conditions. Finally, our main results will be proved in Section 5.

This variability in the cross-correlation behavior of the sequences may affect the performance of the CDMA system, when the spreading sequences associated to each user are chosen randomly from the whole set; it will be discussed in the following, with reference to the case of span n = 5 sequences.