Sentence examples for for an arbitrary time from inspiring English sources

A matrix formulation of this system for an arbitrary time index, n, is as follows.

The result of Theorem 3.1 holds for an arbitrary time scale.

Next, for an arbitrary time scale (mathbb{T}), we can introduce the following new definition.

The properties are valid for an arbitrary time scale T with at least two points.

The result here is for an arbitrary time scale and since the proof of this result is similar to the proof of Lemma 2.4 in Erbe et al. [14] we state it without proof.

Note that the inversion of a Fourier transformation on some time scales was studied in [19, 20], but there is no inversion formula for an arbitrary time (space) scale.

The first five terms of the solution are derived, for both plane and spherical deterministic waveforms, for the boundary value problem of an arbitrary time history at the origin.

We present a numerical method for rapidly solving the Bloch equation for an arbitrary time-varying spin-1/2 Hamiltonian.

The model captures remarkably well the segregation effects for an arbitrary time-dependent acceleration of small amplitude, while it implies an enormous reduction of computer demands.

where we say that a property holds for -a.e. or a.e. on -a.e., whenever there exists a set with null Lebesgue -measure such that this property holds for every, is an arbitrary time scale, subindex means intersection to, are such that,,,,,, and is an -Carathéodory function on compact subintervals of, that is, it satisfies the following conditions.

For example, as demonstrated in our earlier work [34], in the limit Δ D→0, Equation 8 describes an analog rank filter (e.g., a median filter for q=1/2) in an arbitrary time window w(t), leading, as illustrated below, to the introduction of NDLs.