Recent researches on multivariate spline and piecewise algebraic variety

ON ALGEBRAIC AND COALGEBRAIC CATEGORIES OF VARIETY-BASED TOPOLOGICAL SYSTEMS

Motivated by the recent study on categorical properties of latticevalued topology, the paper considers a generalization of the notion of topological system introduced by S. Vickers, providing an algebraic and a coalgebraic category of the new structures. As a result, the nature of the category   TopSys   of S. Vickers gets clari ed, and a metatheorem is stated, claiming that (latticevalu...

Interval iterative algorithm for computing the piecewise algebraic variety

As the set of the common zeros of the multivariate splines, the piecewise algebraic variety is a kind of generalization of the classical algebraic variety. In this paper, we discuss the computation problem of the piecewise algebraic variety. The approach presented here is the interval iterative algorithm by introducing the concept of ε-deviation solutions. Meanwhile, we present a simple method ...

Recent German Researches on Malaria

The etiology of malaria is a study of paramount importance to the practitioner of tropical medicine. In different regions, the intensity of the poison may, to some degree, vary ; but in India, from Karachi to Sudia and Sirhind to Cape Comoriu, malaria is the cause of a greater total of sickness than perhaps all other diseases combined. Few of its inhabitants get through twelve months without au...

On Smooth Multivariate Spline Functions

In this paper the dimensions of bivariate spline spaces with simple cross-cut grid partitions are determined and expressions of their basis functions are given. Consequently, the closures of these spaces over all partitions of the same type can be determined. A somewhat more detailed study on bivariate splines with rectangular grid partitions is included. The results in this paper can be applie...

Recent Researches in Metallurgical