The multiplicities in the decomposition (Equation 0.1) are equivalent to the famousLittlewood-Richardson coe cients, 1 and in this appendix, we describe a result known as the Littlewood-Richardson (LR) rule which will allow us to compute the Littlewood-Richardson coe cients tractably (at least for low-order terms). There are several methods for computing these numbers (see [Knutson and Tao, 199...

Littlewood Richardson coefficients are structure constants appearing in the representation theory of the general linear groups (GLn). The main results of this paper are: 1. A strongly polynomial randomized approximation scheme for Littlewood-Richardson coefficients corresponding to indices sufficiently far from the boundary of the Littlewood Richardson cone. 2. A proof of approximate log-concav...

Objectives: The aim of the present study was to reconstruct determining validity, and score The Stanford Diagnostic Reading Test fourth edition (SDRT4) in the sixth grade students. Methods: The population of the study was all sixth grades of the 19 educational districts from Tehran, 571 students (255 boys and 316 girls) were selected by using a random multi-cluster sampling. The data were an...