conclusions evaluation of iranian traditional dosage forms like vaginal and rectal types could be an attractive topic of research and the current study can briefly represent the iranian traditional pharmaceutical knowledge on vaginal and rectal drug delivery. objectives the aim of this study is the investigation about iranian traditional pharmaceutical dosage forms of vaginal and rectal medicat...

it is well known that the matrix exponential function has practical applications in engineering and applied sciences. in this paper, we present some new explicit identities to the exponential functions of a special class of matrices that are known as central-symmetric $x$-form. for instance, $e^{mathbf{a}t}$, $t^{mathbf{a}}$ and $a^{mathbf{a}t}$ will be evaluated by the new formulas in this par...

We show that the spectral theorem – which we understand to be a statement every self-adjoint matrix admits certain type of canonical form under unitary similarity analogues over other ∗-algebras distinct from complex numbers. If these contain nilpotents, then it is shown there consistent way in many classic decompositions such as Singular Value Decomposition, Takagi decomposition, skew-Takagi a...

Andreas-Stephan ELSENHANS a and Jörg JAHNEL a a Universität Göttingen, Mathematisches Institut, Bunsenstraße 3–5, D-37073 Göttingen, Germany 1 Abstract. We construct explicit examples of K3 surfaces over Q which are of degree 2 and the geometric Picard rank of which is equal to 1. We construct, particularly, examples in the form w2 = det M where M is a symmetric (3× 3)-matrix of ternary quadrat...

We are focused on numerical methods for decomposing a multivariate polynomial as a sum of univariate polynomials in linear forms. The main tool is the recent result on correspondence between the Waring rank of a homogeneous polynomial and the rank of a partially known quasi-Hankel matrix constructed from the coefficients of the polynomial. Based on this correspondence, we show that the original...