Sentence examples for a generalized space of from inspiring English sources

The internet as a generalized space of unattached, floating rage?

In this generalized space of solutions the Cauchy problem (3) is written as ∫ t ≥ 0 ∫ R n ( ∂ t d + div x f ( u ) ) γ d V d t = 0 for all  γ ∈ D ( G ).

In the present paper, we intend to continue our study of generalized spaces of type Sobolev associated with the Weinstein operator started in [21].

The aim of this paper is to introduce some generalized spaces of double sequences with the help of the Musielak-Orlicz function M = ( M j k ) and four-dimensional bounded-regular (shortly, RH-regular) matrices A = ( a n m j k ) over n-normed spaces.

Because of this random structure, position space representation of quantum mechanics breaks down, and therefore a generalized normed space of quasiposition eigenfunction is required.

Because of this random structure, position space representation of quantum mechanics breaks down and so a generalized normed space of quasi-position eigenfunction is required.

Let ((X,d)) be a metric space or a generalized metric space and Y be a subset of X.

Therefore, they introduced a new notion of a generalized metric space, called G-metric space.

Alternatively Mustafa and Sims [20] introduced a new notion of a generalized metric space called G-metric space.

In 2000, Branciari [5] introduced the following notion of a generalized metric space where the triangle inequality of a metric space had been replaced by an inequality involing three terms instead of two.

In 2000, Branciari [1] introduced the concept of a generalized metric space where the triangle inequality of a metric space was replaced by an inequality involving three terms instead of two.