incidence matrix


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incidence matrix

[′in·səd·əns ‚mā·triks]
(mathematics)
In a graph, the p × q matrix (bij ) for which bij = 1 if the i th vertex is an end point of the j th edge, and bij = 0 otherwise.
References in periodicals archive ?
where Z is the incidence matrix for markers, D is a weight matrix for SNPs (initially D = I), and q is a weighting factor.
vi) Calculation of the additive genomic value of the jth individual (j = 1, 2, ..., N with N being the total number of individuals in the validation population), [mathematical expression not reproducible] are the elements of the jth line of the centered incidence matrix of marker [W.sub.v] of the validation population.
The labeled data, the unlabeled data, and their patches are applied to construct a hypergraph, G = {[upsilon],e,H,[omega]}, where [upsilon] represents the set of vertex, e is the set of the hyperedge, H is the incidence matrix between vertices and hyperedges, and [omega] represents the set of hyperedge weights.
'The 2017 crime Incidence Matrix showing high rate of offences against property, persons and assets, confirms that the present policing strategy needs to be revisited in order to ensure that crime incidences reduce with inclusiveness of the community and other stakeholders,'' he noted.
A simple CF problem can be compactly captured by a machine-part incidence matrix. Let M = {[m.sub.i]} (for i = 1 to m) be the set of machines and P = {[p.sub.j]} (for j = 1 to n) be the set of parts.
Finally, the detection of fault on the velocity and traveled-distance sensor was demonstrated through simulation by the variation of the residues compared to an incidence matrix. A variable slope was considered in order to increase the range of representativity of the nonlinear dynamics.
It is the relative frequency of 1s in column A of the incidence matrix.
where [0.sub.sxt] denotes the s x t matrix with all entries equal to zero, R is the incidence matrix of G, [I.sub.n] is the identity matrix of order n, and [1.sub.n] is the column vector with all entries equal to 1.
Notations A, A': The incidence matrix of kinematic chain [d.sub.ij]: The elements of incidence matrix [G.sub.i]: Conductance value of edge in the ECM [m.sub.ijk]: The weighted value of kth edge N, N': Variable of equivalent circuit model n: The number of vertices in WDCCG [n.sub.i]: Node i in the ECM [v.sub.i]: Node voltages of the node i CE: Complete excitation DCG: Double color graph ECM: Equivalent circuit model NVS: Node voltage sequence TM: Topological model WAM: Weighted adjacency matrix WDCCG: Weighted double color contracted graph.
B = (mxn) sized matrix called 'Incidence matrix' with its elements values equal to 1 when power flows from 'm' bus to 'n' bus, -1 when power flows from 'n' bus to 'm' bus and 0 when no power flows between 'm' bus and 'n' bus.