We introduce and discuss the properties of a new class of finite-dimensional frames with strong symmetry properties called geometrically uniform (GU) frames, that are defined over a finite abelian group of unitary matrices and are generated by a single generating vector. The notion of GU frames is then extended to compound GU (CGU) frames which are generated by a finite abelian group of unitary...

The aromaticity of some bicyclic heterocycles is discussed with the aid of the configuration analysis of the expansion coefficient matrices and the similarity analysis of the density matrices. The iso-it-electronic [9] annulenyl anion is taken as the aromatic reference compound for all the heterocyclic compounds considered. The restflts are compared with · those previously obtained from conside...

in this paper, the concept of k-regular fuzzy matrix as a general- ization of regular matrix is introduced and some basic properties of a k-regular fuzzy matrix are derived. this leads to the characterization of a matrix for which the regularity index and the index are identical. further the relation between regular, k-regular and regularity of powers of fuzzy matrices are dis- cussed.

the effect of different kinds of surfactants in various concentrations incorporated in an inert matrix, on the release of procainamide hydrochloride, as a cationic model compound, was investigated in this study. sodium lauryl sulfate and sodium stearate as anionic surfactants, cetyl pyridinium chloride and cetyltrimethyl ammonium bromide as cationic and span 60 and tween 80 as non-ionic surfact...

the tumors in which odontogenic differentiation is fully expressed are the odontomas. odontomas are considered as hamartomas rather than a true neoplasm. these tumors are composed of enamel, dentine, cementum and pulp tissue. it is most commonly associated with the eruption of the teeth. they are usually discovered on routine radiographic examination. in exceptional cases, the odontoma erupts i...

The permanent-on-top conjecture states that the largest eigenvalue of Schur power matrix a positive semi-definite Hermitian H is per(H). A counterexample has been found with help computers, but here, I present another can be checked by hand. My method to use linear representations groups connect spectrum spectra entrywise(Hadamard) product matrices permanental compound matrices. By that, we are...

The most prevalent exposure of bisphenol A (BPA) to biological systems has directed health organizations reduce its safe dosage and the stringent regulation by developed countries that led ban BPA-based (Bisphenol analogues) baby bottles. This in turn opened a new window for ongoing entry analogues into consumer market. Recently, there been tremendous growth both production application achieve ...

Stanford University For a random matrix following a Wishart distribution, we derive formulas for the expectation and the covariance matrix of compound matrices. The compound matrix of order m is populated by all m×mminors of the Wishart matrix. Our results yield first and second moments of the minors of the sample covariance matrix for multivariate normal observations. This work is motivated by...