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The set of Boolean safety constraints is defined independently from the controller specification and depends only on the system.
A Material Type subrecord consists of a set of Boolean check boxes that indicate the presence of certain formats (books, manuscripts, art, maps, games, etc.).
A highly biased set of Boolean functions is observed in simulations of networks of various sizes, suggesting a new characterization of the subset of Boolean functions that are likely to appear in gene regulatory networks.
Boolean games are a natural, compact, and expressive class of logic-based games, in which each player exercises unique control over some set of Boolean variables, and has some logical goal formula that it desires to be achieved.
Also, based on the fact that the average generalization ability computed over the whole set of Boolean functions is 0.5, a very complex set of functions was found for which the generalization ability is lower than for random functions.
Specifically, we determine a set of Boolean polynomials whose zeros can be uniquely identified with the set of rotating schedules related to a given workload matrix subject to standard constraints.
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Sets of Boolean rules are also applied as so-called knowledge bases in decision support or expert systems.
Here, V is a set of genes (nodes) while F1 and F2 are sets of regulation functions (i.e., sets of Boolean functions along with input genes) for N1 and N2, respectively.
For a network of n genes, a probabilistic Boolean network (PBN) is defined by G V, F), where V = { x1, x2, …, x n }, a set of binary-valued nodes, F = (F1, F2, …, F n ), a list of sets of Boolean functions: F i = f 1 i, f 2 i, …, f l i i and l(i) is the number of possible functions for gene i, i = 1, 2, …, n[ 12- 14].
Following [ 15], a PBN is defined by G (V, F), where V = { X 1, X 2, … X n }, a set of binary-valued nodes, F = (F 1, F 2, … F n ), a list of sets of Boolean functions: F i = f 1 i, f 2 i, … f l i i and l(i) is the number of possible functions for gene i, i ∈ 1, n.
This study addresses the set stability of Boolean networks (BNs) and set stabilization of Boolean control networks (BCNs).
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