Sentence examples for Domain of existence from inspiring English sources

A domain of existence is found for the pulsating regime.

These regimes exhibit, however, a significantly larger domain of existence for the second strategy.

We derive here analytical solutions to the reaction and diffusion process in three pore-fractal geometries: A simple pore-tree with a clear hierarchy exhibits an intermediate asymptote, when all pore-generations are diffusion limited; this asymptote depends on geometric parameters only and its domain of existence is larger with trees of a large number of generations.

It is illustrated by an example that under the conditions the maximal domain of existence of a solution of (1.1) may be a proper subset of.

At the same time, we show that every solution has maximal domain of existence, and we apply the method of successive approximations to (1.2).

Indeed, the first line of (1) yields D t α S = − β g ( I ) S ≤ 0, since  g ( I ) ≥ 0. Thus, from Theorem 3.1, S ( t ) is nonincreasing (decreasing) on its domain of existence and since 0 ≤ S ( t ) for all t ∈ , we conclude that S ∞ exists and 0 ≤ lim t → ∞ S ( t ) = S ∞.

As AI grows to touch more and more domains of existence, a new federal AI agency could have a worryingly large command over American life.

The drop morphologies previously reported for rigid crossed fibers, i.e., a drop, a column and a mixed morphology, are also observed on flexible crossed fibers with modified domains of existence.

Our results are interpreted in terms of a diagram presenting the domains of existence of the two coupling modes and the transition region between them in the plane of misorientation and inclination angles.

A one-to-one correspondence is established between Fourier transforms of ultradistribution semigroups in the sense of Beurling and some class of pseudoresolvents characterized by conditions concerning their domains of existence and growth.

While quality of life is defined as a broad concept that incorporates all aspects of an individual's existence, HRQoL is considered to be a subset relating only to the health domain of that existence [ 9].