dense subset

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dense subset

[¦dens ′səb‚set]
(mathematics)
A subset of a topological space whose closure is the entire space.
References in periodicals archive ?
WES rose to popularity early on and it remains a cost-effective focused strategy for looking at what is likely to be the most informationally dense set of genomic data from a sample.
A (FSS) [F.sub.A] in a (FSTS) (U, E, [psi]) is called fuzzy soft [sigma]-nowhere dense set if [F.sub.A] is a fuzzy soft [[lambda].sub.[sigma]]-set in (U, E, [psi]) such that [int.sup.fs]([F.sub.A]) = [phi].
The idea of intuitionistic fuzzy nowhere dense set in intuitionistic fuzzy topological space presented and studied by by Dhavaseelan and et al.
It is well known that optimization is quite a delicate operation under perturbation and even existence of best approximation at a dense set of points need not imply proximinality.
Readers familiar with the art and tactics of warfare know that "a dense set of rules defines what is right or wrong in battle.
It is shown that the set of all nodal points {[r.sub.j.sup.n]} is dense in [0, [pi]] In fact, judicious choice of one nodal point [r.sub.j.sup.n] for each [y.sub.n], n > 1 also forms a dense set in [0, [pi]] Using (11) and (13), and we may write
In doing so, Holmes discovered a dense set of racial prejudices, arbitrary institutional procedures, and oppressive medical practices that contribute both to the functioning of the system that punish the bodies and minds of the migrant workers, as well as to the naturalization and reproduction of such conditions of domination.
Let [{[t.sub.j]}.sup.[infinity].sub.j=1] be a countable dense set in [0,1].
Then A is called IF dense set if cl A = [1.sub.~] and A is called nowhere IF dense set if int (cl(A)) = [0.sub.~].
The DSM process creates a dense set of points with optional triangles connecting them.
In her sixth and most recent collection of poems, Cvetka Lipus delivers a rich, dense set of highly evocative texts, demonstrating that she has taken her poetry to new levels of spirited contestation as well as concreteness, consistency, and sheer verbal and lexical beauty.
For solving a 1,000 x 1,000 dense set of equations, release 5 is 8.62 times fasten For performing a 1,000 x 1,000 inverse operation, it's 13.01 times faster.

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