After careful introduction and discussion of the concepts involved, procedures are developed to compute Racah and Clebsch-Gordan coefficients for general r-fold tensor products of the U(N) groups. In the process, the multiplicity of a given irreducible representation (irrep) in the direct sum basis is computed, and generalized Casimir operators are introduced to uniquely label the multiple irre...

We study the tensor category of modules over a semisimple bialgebra H under the assumption that irreducible H -modules of the same dimension >1 are isomorphic. We consider properties of Clebsch–Gordan coefficients showing multiplicities of occurrences of each irreducible H -module in a tensor product of irreducible ones. It is shown that, in general, these coefficients cannot have small values....

Research on pre-task planning has revealed that planned conditions have produced more fluent and complex language than unplanned conditions. To date, most of these studies have investigated the effects of individual planning on language production while collaborative planning has received scant attention. To determine the effects of pre-task planning on second language written production, the p...

Background: Cooperative and Collaborative Learning approach with online programs is useful in response to rising demand for university educational system. This study evaluates the use of internet and computer in collaborative teaching and learning process for post graduate nursing students. Method: This is a correlation descriptive study. The population in the study is based on census sampling ...

background: cooperative and collaborative learning approach with online programs is useful in response to rising demand for university educational system. this study evaluates the use of internet and computer in collaborative teaching and learning process for post graduate nursing students. method: this is a correlation descriptive study. the population in the study is based on census sampling ...

in this study, we introduce and study a concept of distributed fuzzymodeling. fuzzy modeling encountered so far is predominantly of a centralizednature by being focused on the use of a single data set. in contrast to this style ofmodeling, the proposed paradigm of distributed and collaborative modeling isconcerned with distributed models which are constructed in a highly collaborativefashion. i...

OBJECTIVE To compare different statistical methods for assessing the relative validity of a self-administered, 150-item, semi-quantitative food-frequency questionnaire (FFQ) with 4-day weighed diet records (WR). DESIGN Subjects completed the Scottish Collaborative Group FFQ and carried out a 4-day WR. Relative agreement between the FFQ and WR for energy-adjusted nutrient intakes was assessed ...

and the coefficients in (1.3), which depend on the parameter N , {an,N : bn,N}n=0, bn,N > 0. ∗The authors acknowledge support from NATO Collaborative linkage grant PST.CLG.979738 and INTAS Research Network 03-51-6637. The first author was supported by grants RFBR-05-01-00522, NSh1551.2003.1, Program No. 1 DMS RAS. The second author was supported by an NSF grant. The third author was supported b...