The intention of this paper is to show how the methods of nonlinear factor analysis as developed by McDonald (Br. J. Math. Stat. Psychol. 20:205215, 1967) can be used to study genotype-environment interaction. The method is applied to the interaction of genotype and within-family environmental influences. Simulated twin data are used to illustrate how this type o f interaction may be detected a...

abstract. let mn;m be the set of n-by-m matrices with entries inthe field of real numbers. a matrix r in mn = mn;n is a generalizedrow substochastic matrix (g-row substochastic, for short) if re e, where e = (1; 1; : : : ; 1)t. for x; y 2 mn;m, x is said to besgut-majorized by y (denoted by x sgut y ) if there exists ann-by-n upper triangular g-row substochastic matrix r such thatx = ry . th...

background: critical macromolecules of cells such as dna are in exposure to damage of free radicals that induced from the interaction of ionizing radiation with biological systems. selenium and vitamin-e are natural compounds that have been shown to be a direct free radical scavenger. the aim of this study was to investigate the radioprotective effect of selenium and vitamin-e separately and sy...

Polarizations from proton fragmentation are compared to determine the dependence on produced hyperon according to energy, target and kinematics. Polarization data for meson and neutrino beams are also given. Article published online by EDP Sciences and available at http://dx.doi.org/10.1051/jphyscol:1985212 C2-122 JOURNAL DE PHYSIQUE There are many reasons for studying hyperon production. Hyper...

This article is concerned with the power to detect the presence of genotype by environment interaction (G x E) in the case that both genes and environment feature as latent (i.e., unmeasured) variables. The power of the test proposed by Jinks and Fulker (1970), which is based on regressing the absolute difference between the scores of monozygotic twins on the sums of these scores, is compared t...

Previous research has generated examples of how genetic and environmental factors can interact to create risk for psychopathology. Using a gene-by-environment (G x E) interaction design, we tested whether three polymorphisms in the dopamine transporter gene (DAT1, also referred to as SLC6A3, located at 5p15.33) interacted with maternal parenting style to predict first-onset episodes of depressi...

where X(G) is the set of all parts X/V(G) so that X{< and X =V(G)"X{<. Also, E(A, B) is the set of all A B edges in G and Vol(A)= x # A mG(x). Here mG(x) is the degree of the vertex x in G. For instance, the Cheeger number of the complete graph K on N vertices is h(K)=N [2(N&1)]. Also, the Cheeger number of a claw (or star) K1, N=K V K is h(K1, N)=1. In general, h(G) 1. Given n # Z, n>0, let G(...

A new genus g = g(X, E) is defined for the pairs (X, E) that consist of n-dimensional compact complex manifolds X and ample vector bundles E of rank r less than n on X. In case r = n − 1, g is equal to curve genus. Above pairs (X,E) with g less than two are classified. For spanned E it is shown that g is greater than or equal to the irregularity of X, and its equality condition is given.

If (G, *) and (H, •) are groups, then a function f : G −→ H is a homomorphism if f (x * y) = f (x) • f (y) for all x, y ∈ G. Example: Let (G, *) be an arbitrary group and H = {e}, then the function f : G −→ H such that f (x) = e for any x ∈ G is a homomorphism. In fact, f (x * y) = e = e • e = f (x) • f (y). f (x) = x for any x ∈ G is a homomorphism. In fact, f (x * y) = x * y = f (x) * f (y). ...