Abstract. In the classical limit theory for normalized sums of independent random variables we change the operation ”sum” by the operation “maximum”. How does it change the classical structure of the limit probability laws? The max-model enriches Probability Theory with interesting non-classical phenomena. Several of them will be discussed here. As an example for characterizing a limit class of...

We consider, within the framework of inductive inference, the concept of refuting learning as introduced by Mukouchi and Arikawa, where the learner is not only required to learn all concepts in a given class but also has to explicitly refute concepts outside the class. In the rst part of the paper, we consider learning from text and introduce a concept of limit-refuting learning that is interme...

Discrete systems with long-range interactions are considered. Continuous medium models as continuous limit of discrete chain system are defined. Longrange interactions of chain elements that give the fractional equations for the medium model are discussed. The chain equations of motion with long-range interaction are mapped into the continuum equation with the Riesz fractional derivative. We fo...

the relationship between initial population density of rice white tip nematode (aphelenchoides besseyi) and yield was examined on oryzae sativa cv. alikazemi. experiments were conducted in greenhouse, micro-plot and field conditions. seinhorst’s model was used to describe the relationship between nematode population density and crop yield. the parameters of the model, minimum yield (m), constan...