knowing that in distribution of khoms according to quran and imamid fiqh three portions out of six relates to needy sayyids so called bani hashim, the question is that are the hashimis who their mothers are sayyide - with non - sayyid father - deserved for khoms? as we know, mother-related children are legitimate, and the same as father-related ones, and there is no difference between them acco...

Interest in particle size-selective sampling for aerosols in working and ambient living environments began in the early 1900s when it became apparent that the penetration into-and deposition in-the respiratory tract of aerosol-exposed humans of inhaled particles was dependent on particle size. Coarse particles tended to be filtered out during inhalation and in the upper parts of the respiratory...

This report defines the rank complement of a diagonalizable matrix (i.e. a matrix which can be brought to a diagonal form by means of a change of basis) as the interchange of the range and the null space. Given a diagonalizable matrix A there is in general no unique matrix Ac which has a range equal to the null space of A and a null space equal to the range of A, only matrices of full rank have...

ing this paper new factorization techniques for computation of the Operational Space Mass Matrix (A) and its inverse (A-l) are developed. Starting with a new factorization of the inverse of mass matrix (M-l) in the form of Schur Complement as M-l = G’ %)TsI-lB, where d and 8 are block tridlagonal matrices and G is a tridiagonal matrix, similar factorization for A and A-i are derived. Specifical...