Sentence examples for mode of convergence from inspiring English sources

The mode of convergence, for example, pointwise, uniform, and so forth, will be specified at each use of the symbol.

Using the Trotter-Kato theorem, we will establish a stronger mode of convergence (uniformly on compact intervals of time and strongly in the Hilbert space) by means of a graph convergence of the Hamiltonians.

It can be exploited to solve challenging problems in a variety of physical scenarios where stability or a particular mode of convergence is desired in a part of the domain.

In signal analysis, convergence the sampling series is usually defined via the limit of the symmetric partial sums, i. e., (lim _{Nrightarrow infty } sum _{|k|le N} f k/w) {{mathrm{sinc}}} wt-k)) [see (2.20)], reflecting the mode of convergence of complex Fourier series (see, e. g., [41, pp. 5–6]).

The mode of convergence of the series depends on the topology imposed on the function space.

This would require to show the compactness of the underlying class of operators with respect to this new mode of convergence.

Finally, we will discuss various modes of convergence of sequences of random variables and relate them into a hierarchical scheme.

Generalizations of the traditional harmonic balance method are introduced in this paper that result in superior convergence rates and superior modes of convergence.

In reality, it is our opinion that, from the very same practices and from the rare instances of critical thinking, new tendencies emerge, which are probably irreversible, towards new modes of convergence of the traditions of the two disciplines.

Remarkable temporal changes in tectonic regimes around Beppu Bay and other areas of SWJ are probably related to transient modes of convergence, including the migration of the Euler pole, of the Philippine Sea plate since ca. 6 Ma.

Three modes of convergence in a realization among the time-varying and steady-state robust Kalman estimators for the time-varying and time-invariant systems are presented and proved by the dynamic error system analysis (DESA) method.