Some positivity conjectures are made generalizing known results for Gaussian posets. For a sequence of non-negative integers ~ a = (a 1 ; a 2 ; ; a n), and a non-negative integer m, MacMahon 1, p. 137] considered the rational function of q,

V r /2 t,p/2 is a scaled version of Gaussian measure with r p if 1 < p < 2 and r p ′ if 2 < p < ∞ with 1/p 1/p′ 1. Conversely if F is a holomorphic function which is in a “slightly” smaller space, namely L C, V r/2 t,p/2 , then it is shown that there is a function f ∈ L R, ρ such that e−tHf F. However, a single necessary and sufficient condition is obtained for the image of L2 R, ρp/2 under e−t...

Tropical algebraic geometry offers new tools for elimination theory and implicitization. We determine the tropicalization of the image of a subvariety of an algebraic torus under any homomorphism from that torus to another torus.

Approximate Gaussian Elimination

Graphene-oxide-based metal hybrids (GM) are used for the rapid and efficient reduction removal of toxic adulterants in environment. The exceptionally high specific surface area, versatile chemistry, exceptional customization efficiency graphene oxide nanosheets combined with adaptable chemistry nanoparticles enable formation GM hybrid nanocomposites. However, little is known about architecture ...

Variable Elimination (VE) is the most basic one of many Bayesian network inference algorithms. The speed and complexity reasoning mainly depend on order elimination. Finding optimal elimination a Nondeterministic Polynomial Hard (NP-Hard) problem, which often solved by heuristic search in practice. In to improve variable method, minimum, maximum potential, minimum missing edge added methods are...