Vector Bundle Model of Complex Electromagnetic Space and Change Detection

Characterization theorems for the projective space and vector bundle adjunction

We consider some conditions under which a smooth projective variety X is actually the projective space. We also extend to the case of positive characteristic some results in the theory of vector bundle adjunction. We use methods and techniques of the so called Mori theory, in particular the study of rational curves on projective manifolds. Mathematics Subject Classification (1991): 14E30, 14J40...

Diffusion on the Total Space of a Vector Bundle

In recent years the study of the differential geometry of the total space E, of a vector bundle π : R → M , initiated by R.Miron [11], [12] has been developed by many people (see [13] and the references therein). If we take a horizontal complement of the vertical subbundle V E, we can express the geometrical objects defined on E in a more simplified form and new geometric objects can be obtaine...

m-Ary Hypervector Space: Convergent Sequences and Bundle Subsets.

In this paper, we have generalized the definition of vector space by considering the group as a canonical $m$-ary hypergroup, the field as a krasner $(m,n)$-hyperfield and considering the multiplication structure of a vector by a scalar as hyperstructure. Also we will be consider a normed $m$-ary hypervector space and introduce the concept of convergence of sequence on $m$-ary hypernormed space...

The Vector Space Model

The importance of a thesaurus in the successful operation of an information retrieval system is well recognized. Yet techniques which support the automatic generation of thesauri remain largely undiscovered. This paper describes one approach to the automatic generation of global thesauri, based on the discrimination value model of Salton, Yang, and Yu and on an appropriate clustering algorithm....

Supermanifolds Corresponding to the Trivial Vector Bundle over Complex Torus