Let T be a random field weakly invariant under the action of a compact group G. We give conditions ensuring that independence of the random Fourier coefficients is equivalent to Gaussianity. As a consequence, in general it is not possible to simulate a non-Gaussian invariant random field through its Fourier expansion using independent coefficients

We take the point of view that a Markov random field is a collection of so-called full conditional mutual independencies. Using the theory of -Measure, we have obtained a number of fundamental characterizations related to conditional mutual independence and Markov random fields. We show that many aspects of conditional mutual independence and Markov random fields have very simple set-theoretic ...

A non-empty set X of a carrier A of an algebra A is called Q-independent if the equality of two term functions f and g of the algebra A on any finite system of elements a1, a2, . . . , an of X implies f(p(a1), p(a2), . . . , p(an)) = g(p(a1), p(a2), . . . , p(an)) for any mapping p ∈ Q. An algebra B is a retract of A if B is the image of a retraction (i.e. of an idempotent endomorphism of B). W...

the purpose of this research was to study deterrent factors for entrepreneurship in relation with personality and environmental characteristics for graduates of agriculture. the statistical population of the research is composed of graduates (n=98) have been able to establish a business in the field of agricultural production, in boushehr province (one of the southern provinces of iran). validi...

A matroid on a set E is a family I of subsets of E (called independent sets) with the properties • a subset of an independent set is independent; • if A and B are independent with |A| < |B|, then there exists x ∈ B \A such that A∪{x} is independent. The rank ρ(A) of a subset A of E is the common size of maximal independent subsets of A. Examples of matroids: • E is a family of vectors in a vect...

There is currently no consensus on whether the difference between field-dependent and field-independent subjects on tasks of cognitive abilities result from different mental processing strategies, from true group differences in cognitive ability, or from both. School-age children (N = 239) were tested for field dependence/independence using the Children's Embedded Figures Test and for mental-at...