An orthogonality space is a set X together with symmetric and irreflexive binary relation ⊥, called the relation. A block partition of maximal mutually orthogonal elements X, decomposition collection subsets each which complement union others. (X,⊥) normal if any gives rise to unique space. The one-dimensional subspaces Hilbert equipped usual provides motivating example. Together maps that are,...

The generator coordinate method begins with the variational construction of a set non-orthogonal mean-field states that span subspace full many-body Hilbert space. These are then often projected onto good quantum numbers to restore symmetries, leading members can be similar one another, and it is sometimes possible reduce this without greatly affecting results. Here we propose greedy algorithm ...

The purpose of this paper is to introduce and discuss the concept of orthogonality in the fuzzy metric spaces. At last we introduce and discuss the concept of orthogonality in the fuzzy normed spaces, and obtain some results on orthogonality in fuzzy normed spaces similar to orthogonality in normed spaces.

In this paper, we will use the categorical approach to Hilbert \(C^{\ast}\)-modules over a commutative \(C^{\ast}\)-algebra investigate approximately orthogonality preserving mappings on \(C^{\ast}\)-algebra. Indeed, show that if \(\Psi:\Gamma \rightarrow \Gamma^{\prime} \) is nonzero \( C_{0}(Z) \)-linear \(( \delta , \varepsilon)\)-orthogonality mapping between continuous fields of spaces loc...

A new method for constructing Clifford algebra-valued orthogonal polynomials in the open unit ball of Euclidean space is presented. In earlier research, we only dealt with scalar-valued weight functions. Now the class of weight functions involved is enlarged to encompass Clifford algebra-valued functions. The method consists in transforming the orthogonality relation on the open unit ball into ...

In the downlink of the Wideband Code Division Multiple-Access (WCDMA) system users are separated by means of Orthogonal Variable Spreading Factor codes. The orthogonality of the users is lost in multipath channels causing multiple access interference which limits the system capacity and the availability of high data rate services. To suppress the interference in the downlink, it has been propos...