discrete set

discrete set

[di′skrēt ′set]
(mathematics)
A set with no cluster points.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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have some files ..' which the manager referred to, was in fact a discrete set of over 100 hugely important engineering drawings which had been subbed out to a third-party for updating using a specific CAD system.
Let A be a non-empty set of uni-dimensional attributes A = {[a.sub.1], [a.sub.2], ..., [a.sub.m]}, m [greater than or equal to] 1; and [alpha] [member of] A be a given attribute whose spectrum of all possible values (or states) is the non-empty set S, where S can be a finite discrete set, S = {[s.sub.1], [s.sub.2], .., [s.sub.1]}, 1 [less than or equal to] l < [infinite]), or infinitely countable set S = {[s.sub.1], [s.sub.2], ..., [s.sub.[infinity]]}, or infinitely uncountable (continuum) set S = ]a,b[ a < b, where ] ...
As patients age, the decline in multiple organ systems is regulated by a discrete set of signaling pathways, most notably TORC1.
Shmerkin and Suomala define a class of random measures, spatially independent martingales, that they view as a natural generalization of the canonical random discrete set, and which includes as special cases many variants of fractal percolation and Poissonian cut-outs.
Test, development, business continuity, operational recovery and analytics have all spawned multiple copies of data, each with its own discrete set of supporting infrastructure.
Furthermore, the membership functions of FNs used in applications are not generally known, for example, when they are obtained as relative frequencies of measured occurrences in a discrete set of points or in collaborative applications in which a set of stakeholders evaluate separately the membership degrees of a FN and the function is assigned as an average of these membership degrees.
In discrete universality theorems, [tau] in shifts [zeta](s + i[tau]; a) takes values from a certain discrete set. In [17], an arithmetic progression {kh : k [member of] N}, h > 0, was used.
As such, these spectral features can be abstracted to a discrete set of numerical values.
The three new models can produce a discrete set of phase states of up to 256 total steps in 1.4-degree increments.
Secondly, the algorithm selects the path using a discrete set of turning rates that must be specified a priori.
where A is a candidate solution of the optimization problem, [A.sub.i] is the cross-sectional area of the ith member, W is the structural weight, [[rho].sub.i] is the specific weight of the ith member material, [L.sub.i] is the length of ith member, [[sigma].sub.i,l] and [[sigma].sup.max.sub.i,l] are the stress and the maximum allowable stress of the ith member under Zth load case, respectively, [[delta].sub.k,l] and [[delta].sup.max.sub.k,l] are the displacement and maximum allowable displacement of the node k under Zth load case, respectively, S = [S.sub.1], [S.sub.2],..., [S.sub.n]) is the discrete set of member cross-section, [S.sub.1] [right arrow] 0 means that the member is deleted, and n is the number of elements of S.

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