discrete topology

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discrete topology

[di‚skrēt tə′päl·ə·jē]
(mathematics)
For a set A, the set of all subsets of A.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
Hussien, "Turing Instability in a SIS Epidemiological Model in Discrete Space with Self and Cross Migration," Differential Equations and Dynamical Systems, vol.
Noted that this relationship is exact in this discrete space.
In the offline phase, we initialize the SHS model by identifying its discrete space first.
The random-key encoding scheme is used to transform a position in a continuous space into a position in a discrete space. The random-key was first used in a scheduling problem in [68], where the solutions are elements of a [Z.sup.n] space.
By N we denote the discrete space of positive integers.
Thus, maximum lifetime of wireless sensor networks routing problem can be summed up as a discrete space, non-linear planning issues: solving optimal decision vector A* in the discrete space [OMEGA].
The algorithms are based on the edge-based discrete space decomposition, and their analysis is done using the abstract Schwarz framework developed in [18], i.e., an extension of the original abstract Schwarz framework for FE discretization to the FVE discretization.
If [kappa] is an infinite cardinal then A([kappa]) is the one-point compactification of a discrete space of cardinality [kappa].
The mathematics of these discrete groups does even more for us, for there is a direct connection [2] from the lepton groups [3, 3, 2], [4, 3, 2], [5, 3, 2], and the quark groups [3, 3, 3], [4, 3, 3], [3, 4, 3], [5, 3, 3], in R3 and R4, respectively, via special quaternions called icosians to the discrete space R8.
In the discrete space, edge E [member of] [R.sup.mxn] of image I e [R.sup.mxn] is defined as the discontinuous image characteristics.
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