Homogeneous bundles on P2 = SL(3)/P can be described by representations of the parabolic subgroup P . In 1966 Ramanan proved that if ρ is an irreducible representation of P then the induced bundle Eρ on P 2 is simple and even stable (see [Ram]). Since P is not a reductive group, there is a lot of indecomposable reducible representations of P and to classify homogeneous bundles on P2 and among t...

In this paper Gaussian kernel approach will be explored for microarray gene expression data using support vector clustering (SVC). SVC uses the idea of support vector machines. The data points are mapped to a high dimensional feature space with a kernel function, and a minimal enclosing sphere in looked for. Cluster boundaries in data space are complex shapes and are formed from the sphere boun...

We study the subvariety of integrable 1-forms in a finite dimensional vector space W ⊂ Ω(C, 0). We prove that the irreducible components with dimension comparable with the rank of W are of minimal degree.

In this paper state space realizations for all-pole and all-zero two-dimensional (2D) lattice discrete ®lters are presented. The proposed realizations are based on the corresponding circuit implementations. For the realizations, the 2D state space model of the Roesser type was used. The dimension of the state vector was minimal. Three low-order examples are presented to illustrate the proposed ...

in this paper we have proposed an approach for emotion detection in implicit texts. we have introduced a combinational system based on three subsystems. each one analyzes input data from a different aspect and produces an emotion label as output. the first subsystem is a machine learning method. the second one is a statistical approach based on vector space model (vsm) and the last one is a key...

in this paper, a new definition of fuzzy bounded sets and totallyfuzzy bounded sets is introduced and properties of such sets are studied. thena relation between totally fuzzy bounded sets and n-compactness is discussed.finally, a geometric characterization for fuzzy totally bounded sets in i- topologicalvector spaces is derived.

We study the optimal domain for the Hardy operator considered with values in a rearrangement invariant space. In particular, this domain can be represented as the space of integrable functions with respect to a vector measure defined on a δ-ring. A precise description is given for the case of the minimal Lorentz spaces.

A circuit realization is presented for generalized one-multiplier lattice discrete two-dimensional (2-D) filters. The proposed structure has a minimun mumber of delay elements and multipliers. Based on this circuit realization, the corresponding state-space realization–representation is derived. The dimension of the 2-D state-space vector is minimal and the corresponding transfer function is ch...

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...

This paper discusses the notion of cointegrating space for linear processes integrated any order. It first shows that notions (polynomial) vectors and root functions coincide. Second, it how can be defined (i) as a vector polynomial over complex scalars, (ii) free module scalar polynomials, or finally (iii) rational scalars. Third, canonical set used basis various space. Fourth, reviews results...