Sentence examples for arbitrary duration from inspiring English sources

We introduce the decoupling field to study the well-posedness of ODEs (1.1) when T is arbitrary duration.

Using this method, we obtain the distribution of maximum earthquake magnitudes in future time intervals of arbitrary duration τ.

Data inputs consist of a water application rate or the rainfall hyetograph of a storm of arbitrary duration, soil hydraulic characteristics and antecedent moisture, and the slope's hydraulic and geometric characteristics.

Assume that Assumption 2.1 holds, if ODEs (1.1) have a decoupling field on arbitrary duration ([0,T]), ODEs (1.1) have a unique solution ((X_{t},Y_{t}) in C[0,T]) on ([0,T]).

In principle, however, multiple σ may be competing and obtain any value (between zero and one) for an arbitrary duration of time, as for instance in perceptual categorization [2], [41], [42].

Also, our choice of an arbitrary duration of 30 days may have resulted in misclassification of exposure status due to underreporting or misclassification of the number of AECOPDs.

In this study, we hypothesized that (i) short (<2 s) perilesional spontaneous recurrent EEEs include ictal events that should be considered as part of the PTE syndrome; and (ii) definitions of seizures that are based on arbitrary durations, rather than on functional features, bias the assessment of acquired epileptogenesis.

Thus, any arbitrary load duration could be chosen for these loads.

Previously, TIA was defined based on arbitrary timing (duration ≤ 24 h).

Therefore, the well-posedness of two-point boundary value problems for such ODEs on arbitrary time duration has very meaningful application background and practical significance.

On the well-posedness of FBSDEs on arbitrary time duration, Hu and Peng [4] and Peng and Wu [5] introduce the method of continuation by proposing the monotonicity conditions (see [6]).