Sentence examples for and continuous in a from inspiring English sources

Because F 𝜗 is Lipschitz in z, uniformly in (t,ω,a), and continuous in a, it is continuous in (z,a).

The results were reported for the dynamic response of sediment cake thickness (an index for cake compaction) under various doses of polyelectrolyte conditioning, compression permeability cell configuration and mode of operation (batch and continuous) in a centrifugal-settling cell.

Of note, some of the data collection and analysis processes were interactive and continuous in a spiral form that enabled us to reflect on the previous analytical results and alter actions in the next phase of data collection.

Let be almost periodic in uniformly for and continuous in, and let be an almost periodic sequence in such that for all, where is a compact set in.

(A1) Each satisfies Carathéodory conditions, that is, is measurable in for all and continuous in for a.e.. Furthermore, a constant and a function exist so that (3.1).

Each satisfies Carathéodory conditions, that is, is measurable in for all and continuous in for a.e.. Furthermore, a constant and a function exist so that (4.35).

The concepts of convergence and Cauchy sequences and continuous functions in a G-metric space are studied in [24].

Absent extenuating circumstances, any sharp and continuous movement in a coincident indicator will more than likely foreshadow a significant change, even if its implications aren't immediately obvious.

The proposed algorithm will be an appropriate method for optimization problems in which both types of variables (discrete and continuous) existed in a problem.

Suppose that Assumptions A1-A3(i) and A4 are satisfied and f and G are continuous in a neighborhood of y for (ygeq a_{F}).

It follows that the time scales models unify discrete and continuous models in a more general framework.