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While L ( G ) takes values 1 or 2 in the case n = 1, …, 5, there are graphs on 6 vertices, where the maximal Lefschetz number is 3 and the minimal Lefschetz number is 0. The computation for n = 6 is already quite involved since we have 32,768 graphs and look at all the automorphisms and for each automorphism find all fixed points.
The genotype takes values 1 for the carriers of the variant and 0 for non-carriers.
Logistic regression provides a method for modelling a binary response variable, which takes values 1 and 0. For example, we may wish to investigate how death (1) or survival (0) of patients can be predicted by the level of one or more metabolic markers.
In the so-called "weighted" networks, each connection is assigned a weight, | J|, and the relation between the degree k and the total connection strength s = ∑ ja ij| J ij| is usually expressed well by the equation: s(k) ∼ kα, where a takes values 1 and 0, indicating respectively the presence and absence of connections, and i and j are the indices of the nodes (Barrat et al. 2004).
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Bernoulli random variables (i.e., Xn takes values {0, 1} with probability 12 each), let X = ∑∞n= 0ρnXn and let μ be the corresponding probability measure.
The proof of the equivalence theorem is mainly based on the "bang-off-bang" property (i.e., the control takes values ±1 or 0 almost everywhere) of the L 1-optimal control.
(5) The spin quantum number S takes values (0,1,2,ldots, N/2) for even N and (1/2,3/2,ldots,N/2) for odd N.
Its discrete analog is the Kronecker delta function which is usually defined on a finite domain and takes values 0 and 1.
In the more practical scenario, it takes values -1, 0 or 1 for marker genotypes aa, Aa and AA, respectively.
In the additive model, Q i takes values −1, 0, and 1 for homozygous wild-type, heterozygous type, or homozygous type, respectively.
Note that the index c takes values 0, 1, 2, while the index b takes values from 0-8.
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