Sentence examples for an elementary set from inspiring English sources

We say that Λ is an elementary set if Λ is mixing, and locally maximal.

Any set of all indiscernible objects is called an elementary set and forms a basic granule of knowledge about the universe.

To address this challenge, we recently developed a computational methodology that allows us to capture an elementary set of responses that describe the trajectory of systemic inflammation in human blood leukocytes when exposed to endotoxin stimulus [24], [25].

Multiple, intricate DNA methylation machineries mediate and maintain DNA methylation in plants and vertebrates, whereas DNA methylation in Drosophila melanogaster (Drosophila) appears to involve only an elementary set of factors [5], [6], [7].

Although other databases exist that provide information related to intra- and intergenic miRNAs (12 15), some tools don't appear to be frequently updated (14), contain only an elementary set of information related to intragenic miRNAs and their host genes (13 , 15 and/or their usage is complex and requires in-depth bioinformatics skills (12).

The geometrical structure of an image is determined by locally comparing it with a predefined elementary set called a structuring element (SE).

Upper approximation of X in A - formed by the union of all elementary sets of A having a nonempty intersection with X, i.e., the smallest definable set in A containing X: A_{text{sup}}(X) = left{x in U | [x]_{R} cap X neq emptysetright}.

(7) Upper approximation of X in A - formed by the union of all elementary sets of A having a nonempty intersection with X, i.e., the smallest definable set in A containing X: A_{text{sup}}(X) = left{x in U | [x]_{R} cap X neq emptysetright}.

In this paper, we discuss that if a diffeomorphisms has the C 1 -stably ergodic shadowing property in a closed set, then it is a hyperbolic elementary set.

Theorem 1.4 For C 1 -generic f, if f has the ergodic shadowing property in a locally maximal closed set Λ, then it is a hyperbolic elementary set.

Thus by Theorem 1.1, H f ( p ) is a hyperbolic elementary set.