There are relatively small infinite sets like the set of even numbers, the set of integers, or the set of rational numbers.
Even on the most liberal assumptions (spacetime points and arbitrary regions thereof exist, some smallish infinity of entities may be collocated at any of these points or regions), the size of spacetime and the objects in it is a relatively low infinite cardinality (surely no more than ω even that is generous).
Chaotic behavior is developed when the centre of forcing is relatively close to a homoclinic infinite period orbit, while quasi-periodicity is developed when the centre of forcing is in the neighborhood of a Hopf bifurcation point.
To the best of our knowledge, results as regards the boundary problem referring to the differential equations involving the Caputo fractional derivative on infinite interval are relatively scarce.
The following questions naturally arise in connection with the above results using the -condition: Question 1: Can the Mann algorithms (1.20) of [45] still be valid for an infinite family of relatively quasi-nonexpansive mappings?
Let C be a nonempty closed convex subset of E. For each k = 1, 2, …, m, let F k be a bifunction from C × C satisfying (A1 - A4) and let { T n } n = 1 ∞ be an infinite family of relatively quasi-nonexpansive mappings of C into itself such that F : = ( ⋂ n = 1 ∞ F ( T n ) ) ∩ ( ⋂ k = 1 m E P ( F k ) ) ≠ ∅.
Recently, Shehu [11] proved strong convergence theorems for approximation of common element of set of common fixed points of countably infinite family of relatively quasi-nonexpansive mappings and set of common solutions to a system of equilibrium problems in a uniformly convex and uniformly smooth real Banach space using the properties of generalized f-projection operator.
The Casimir-Polder interaction energy51 between an atom with polarizability α and an infinite surface at a relatively large distance rc, for which the retardation limit is valid, is given by with ε0 the vacuum permittivity.
One of the major benefits of using cultured cell lines in cancer research is that they offer an infinite supply of a relatively homogeneous cell population that is capable of self-replication in standard cell culture medium.
Given we are relatively early in what seems like an infinite journey, we think we are a long way from seeing diminishing returns.
