Sentence examples for a unique evolution from inspiring English sources

Among other things, it ensures that there exists a unique evolution family (2.2). on associated with such that for all with, and.

If (H1) holds, then there exists a unique evolution family ({U t, s), t geq s > -infty}) on (L^{p}(mathbb{P},mathbb{H})).

[8] If v ∈ C [0, T]; X) has values in B r then there exists a unique evolution system U v (t, s), 0 ≤ s ≤ t ≤ T, in X satisfying.

Instagram seems to be treading pretty carefully on the privacy front these days, you won't even be able to see the handle of the person who asked a question to a user, this whole process is about the outward projection rather than the conversation which is a unique evolution for an interaction between two users on Instagram.

For any given v ∈ C [0, T], X) with the values in B r, there exists a unique evolution system U v (t, s), 0 ≤ s ≤ t ≤ T in X satisfying ║U v (t, s)║ ≤ eω(t - s)for t ≥ 0, where ω is a fixed constant.

The findings suggest that miRNAs have a unique evolution process and thus may have unique functions and roles in various biological processes and diseases.

Under these assumptions, the family generates a unique linear evolution system, or called linear evolution operators, and there exists a family of bounded linear operators with such that has the representation.

For our purposes, we will consider a mathematical model to be deterministic if it exhibits unique evolution: (Unique Evolution) A given state of a model is always followed by the same history of state transitions.

We begin by describing the history of Shantha's unique evolution from a start-up to a significant vaccine player, noting key challenges and decision points in the process with respect to financials, corporate strategy and health impact.

Instead of using a repeated, serial acquisition of data for the characterization of individual parameters of interest, MRF uses a pseudo randomized acquisition that causes the signals from different tissues to have a unique signal evolution or 'fingerprint' that is simultaneously a function of the multiple material properties under investigation.

These data point to a unique convergent evolution within a certain domain of two paralogous genes.