This article concerned on the study of signature submanifolds for curves under Lie group actions SE(2), SA(2) and for surfaces under SE(3). Signature submanifold is a regular submanifold which its coordinate components are differential invariants of an associated manifold under Lie group action, and therefore signature submanifold is a key for solving equivalence problems.

Abstract: We present a method of diagonalization for the sfermion mass matrices of the minimal supersymmetric standard model (MSSM). It provides analytical expressions for the masses and mixing angles of rather general hermitian sfermion mass matrices, and allows the study of scenarios that extend the usual constrained MSSM. Three signature cases are presented explicitly and a general study of ...

We introduce a simple uniform structure of elementary Φ-unitary matrices. Elementary Φ-unitary transformations are the extentions of Householder transformations in real and complex spaces with a definite or an indefinite inner product induced by a nonsingular signature matrix Φ. The extentions are found useful in the computations of complex matrices or special structured matrices. For two (comp...

The quantification of allergens in food including baked food matrices is of great interest. The aim of the present study was to describe a non-immunologic method to quantify bovine β-casein using ultra-performance liquid chromatography tandem triple quadrupole mass spectrometry (UPLC-TQ-MS/MS) in multiple reaction monitoring (MRM) mode. Eight of 10 theoretical peptides from β-casein after trypt...

The periodic Jacobi inverse eigenvalue problem concerns the reconstruction of a matrix from prescribed spectral data. In Minkowski spaces, with given signature operator H=diag(1,1,…,1,?1), corresponding is pseudo-Jacobi matrix. for such matrices consists in matrices, same order and H. this paper we solve by applying Sylvester’s identity Householder transformation. solution number algorithm are ...

1. A set of nXn matrices with complex elements has a natural topology associated with it. One may therefore look for a topological interpretation of some results in the theory of matrices. We shall show that Sylvester's classical theorem on the inertia (signature) of Hermitian matrices concerns the connected components of the space of all Hermitian matrices of fixed rank r. Most of the argument...

We provide obstructions to a link in $S^3$ arising as the cross section of any number unlinked spheres $S^4$. Our arise from multivariable signature, Blanchfield form and generalised Seifert matrices. also obtain case surfaces higher genera, leading lower bound on doubly slice genus links.

about electronic signatures there are more or less some writings concerning their legal aspect. but in those writings there has been a little attention to credibility and evidential value of the electronic signatures. some questions and ambiguities despite being set before has not been answered at all or answered unsatisfactorily. meanwhile, some authors have made mistakes and some have set tri...