Wyniki wyszukiwania - BazTech

Ograniczanie wyników

Znaleziono wyników: 3

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: differentiable manifold

Sortuj według:

Ogranicz wyniki do:

On a special structure in a differentiable manifold

Nivas R., Saxena M.

Demonstratio Mathematica

2006

Vol. 39, nr 1

203-210

K. Yano, studied structure defined by a tensor field f of type (1,1) satisfying f3 + f = 0. In this paper we have considered a structure of fourth order, which involves the generalization of the above structure. Some interesting results have been obtained on the existence and the integrability conditions of such a structure.

On horizontal and complete lifts of (1,1) tensor fields F satisfying the structure equation anFn+an-1Fn-1+an-2Fn-2+.......a2F2+a1F=0

Nivas R., Ali S., Srivastava S. K.

Demonstratio Mathematica

2002

Vol. 35, nr 1

155-163

The horizontal and complete lifts from a differentiable manifold Mn of class C°° to its cotangent bundle T*(Mn) have been studied by Professors Yano and Patterson [5, 6]. Yano and Ishihara [7] studied lifts of f-structure in the tangent and cotangent bundles. F-structure manifolds of degree v > 3 have been studied by Kim [2]. Lifts of (1,1) tensor fields F satisfying Fv+2 - A2Fv-1 = 0 and Fv + (-l)v+1F = 0 have been studied by Srivastava [4]. The present paper deals with some problems on horizontal and complete lifts tensor fields satisfying polynomial equations of the type mentioned above. Integrability conditions are discussed, and prolongations in the third tangent space T3(Mn) are also considered.

A formal approach to rules interpretation working in medical databases

Ossowski A.

Journal of Medical Informatics & Technologies

2001

Vol. 2, Part. 1

MI139--MI145

Finite collections of data analysed by using statistical and/or data mining techniques are usually discrete representations of a continuous reality. Therefore the fundamental question arise whether rules and regularities discovered in data bases are fictive or describe essential properties of the real world. In order to answer this question a more general “continuous” insight into the problem of data representation, acquisition and analysis is necessary. A formal philosophical/mathematical approach to rules in data bases has been presented in this work. Ontological and epistemological ideas have been described in terms of differential geometry and topology. Various types of rules (geometric and non-geometric) in medical databases have been distinguished. The usefulness of the obtained results to the problem interpretation of medical data has been pointed out.