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

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...

In some temporal reasoning systems, inequations can give rise to disjunctions of inequa-tions when variable elimination is performed. Motivated by this observation, we extend previous research on temporal constraints by considering disjunctions of inequations (under the assumption that time is dense.) We present results on consistency checking, canonical forms and variable elimination for this ...

Chromium is found in the environment in two major forms: reduced CrIII and CrVI, or chromate. Chromate, the most biologically active species, is readily taken up by living cells and reduced intracellularly, via reactive intermediates, to stable CrIII species. CrIII, the most abundant form of chromium in the environment, does not readily cross cell membranes and is relatively inactive in vivo. H...