the concept of  -semihyperring is a generalization of semiring, a generalization of semihyperring and a generalization of      -semiring. since the theory of ideals plays an important role in the theory of  - semihyperring, in this paper, we will make an intensive study of the notions of noetherian, artinian, simple and   regular      -semihyperrings. the bulk of this paper...

It was once taken for granted that learning in animals and man could be explained with a simple set of general learning rules, but over the last hundred years, a substantial amount of evidence has been accumulated that points in a quite different direction. In animal learning theory, the laws of learning are no longer considered general. Instead, it has been necessary to explain behaviour in te...

The union of every point-finite, completely measurable family of Loeb nullsets is itself a Loeb nullset, provided the nonstandard model satisfies a simple set-theoretic condition. One application of this result is that every Loeb measurable function into a metric space has a lifting.

III this paper we describe the STAlILp system for inferring components of chemical substances i.e., constructing cornponential models. S’l‘AIil,p is a descendant of the S’I’AI-11, system (Xytkow & Simon, 1986); both use chemical reactions and any known models in order to construct new rrlodels. I lowever, S’I’A 11 Lp employs a more unified and effective strategy for preventing, detecting, and r...