symmetric difference


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symmetric difference

[sə′me·trik ′dif·rəns]
(mathematics)
The symmetric difference of two sets consists of all points in one or the other of the sets but not in both.
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Tight upper bounds for boolean operations on right ideals [8] are mn for intersection and symmetric difference, mn - (m -1) for difference, and mn - (m + n - 2) for union.
Symmetric Difference: Here the set of final states is H [direct sum] V, that is, all states in the last row and column except (m', n), which is the only empty state.
In this paper, first we calculate connective eccentric index of double graph and double cover and hence the explicit formulae for the connective eccentric indices of join, symmetric difference, disjunction, and splice of graphs are obtained.
Now some exact formulae for the eccentric connectivity index of joins, symmetric difference, disjunction, and splice graphs are presented.
The solution obtained via the symmetric difference scheme contains oscillations.
The solution obtained via a symmetric difference scheme given by (23) oscillates.
Of course, a symmetric difference should be observed for pitchers switching from the AL to the NL.
(ii) [v.sub.a] - [v.sub.b] - [v.sub.c] - [v.sub.d] - w - [v.sub.a], which is the symmetric difference of Cl and the symmetric difference of C' and Cb, is an unbalanced Eulerian graph, so it contains an unbalanced cycle.
The latter means that the symmetric difference [U.sub.n] [DELTA][C.sub.n] is meager (i.e., is of the first Baire category) in W.
Given any graph G, letM(G) be the graph whose vertex set is the set of perfect matchings of G, where two vertices of M(G) are adjacent whenever the symmetric difference of the corresponding perfect matchings is a cycle of length 4.
Subjects include non-normal distributions that describe the Bayesian updating of atmospheric models, efficient uniform designs for mixture experiments in three and four components, designs of accelerated life tests for periodic inspection with Burr Type III distributions, parameter estimation using Cressie-Read divergence measures with exponential grouped censored data, estimation of variance components of acceleration degradation models, production of the ration of the symmetric differences of order statistics, surface roughness measurements acquired by spatial statistics, Diallel crosses, and the characterization of distributions by conditional expectations of functions of generalized order statistics.