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When a population is generated, a tree representing the set of all AFs is also generated.
Representing the set of vectors by a matrix ({mathbf {A}}in mathbb {R}^{ntimes m}), with n≥m, several orthogonalization methods are possible.
A simple, connected, and undirected graph G= V,E) is a collection of vertices V and edges E, with V={1,2,…,N} representing the set of vertices of the graph and E={w i,j,∀i,j∈V} representing the set of edges connecting vertex i and j with weight w ij, where w ii =0.
A conceptual schema describes at an abstract level one or many themes necessary for representing the set of geographic objects existing in a geographic application as well as the relationships among them.
Equation 22 shows the definition of the indexes for both active and reactive power (with B representing the set of the zero injection nodes of the network): P_{mathrm{0inj}} = sum_{i in B} lvert P_{i} rvert, Q_{mathrm{0inj}} = sum_{i in B} lvert Q_{i} rvert (22).
Regarding the measurement noise, we assume that it is distributed according to a parametric heavy-tailed skew t-distribution, (mathbf {n}_{k} sim mathcal {ST}left (boldsymbol {phi }_{k}right)), with ϕ k representing the set of possibly unknown parameters of the non-Gaussian distribution.
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The NC part program represents the set of machining instructions for the particular part.
Thus, {2x | x = 1,2,3,...} represents the set of positive even numbers (the vertical bar means "such that").
(mathfrak {B}) represents the set of all claims problems.
Assuming that C represents the set of n Controlling-AEs.
where D represents the set of all disparity hypotheses.
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