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Summary
For a vector system in E n, we establish a class of inequalities for k-dimensional space angle (defined in this paper), and give some application thereof.
-Hulman Undergrad. Math. J. 2014 15 209 236 Gerber, L. , The orthocentric simplex as an
It is shown that ifG is a graph which is contractible or dismantlable or finitely ball-Helly, and without infinite paths; or which is bounded, finitely ball-Helly and without infinite simplices then: (i) any contraction ofG stabilizes a finite simplex; and (ii)G contains a finite simplex which is invariant under any automorphism.
Abstract
We prove that the n-dimensional unit hypercube contains an n-dimensional regular simplex of edge length c√n, where c > 0 is a constant independent of n.
. 4 , 252 - 252 . [13] Gerber , L. , The orthocentric simplex as an extreme simplex , Pacific J. Math. , 56 ( 1975 ), 97 - 111
Abstract
We indicate some qualitative properties of Fleming--Viot second order differential operators on the d-dimensional simplex, such as an inductive characterization of its domain and some spectral properties connected with the asymptotic behavior of the generated semigroup. These properties turn out to be very useful in the approximation of the solution of the evolution problem associated with Fleming--Viot operators, which are very important as diffusion models in population genetics.
-simplex in ℜ n . Different schemes of perturbation can be considered under this methodology. Note that different patterns of variability of the weights generate different geometric areas to be considered in the Monte Carlo simulations. According to a
Abstract
We prove that a sufficiently large subset of the d-dimensional vector space over a finite field with q elements,
