Sentence examples for modes of convergence from inspiring English sources

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.

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.

Remarkable temporal changes in the tectonic regimes around Beppu Bay and other areas along the island arc are probably related to transient modes of convergence of the Philippine Sea plate since ca. 6 Ma . .

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.

Remarkable temporal changes in the tectonic regimes around Beppu Bay and other areas along the island arc are probably related to transient modes of convergence of the Philippine Sea plate since ca. 6 Ma.

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.

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]).

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.

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