We present a program that allows for the computation of tensor products of irreducible representations of Lie algebras A−G based on the explicit construction of weight states. This straightforward approach (which is slower and more memoryconsumptive than the standard methods to just calculate dimensions of the tensor product decomposition) produces Clebsch-Gordan coefficients that are of intere...

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....

Matrices of correlation coefficients between the abundances or intensities of all pairs of helminth species, across all individual hosts in a sample, are regularly used to detect possible cases of interspecific competition in parasite communities. In these matrices, however, the range of possible values that any correlation coefficient can take is not -1 to 1, contrary to what is generally assu...

Spiking characteristics of neurons in the middle temporal (MT) area and the medial superior temporal (MST) area in the visual cortex of a monkey are compared with the ones in the principal sulcus (PS) area in the prefrontal cortex. The comparison is based on the basis of three inter-spike interval statistical measures: the coefficient of variation (CV), the skewness coefficient (SK) and the cor...

The reactive uptake coefficients, γ, of NO3 onto aqueous solutions containing ions X) HSO3, SO3, HCOO-, CH3COO, and OHwere measured at 273 ( 1 K using a wetted-wall flow tube reactor. The values of HDl k (H ) Henry’s law coefficient, Dl ) diffusion coefficient in the liquid phase, and k ) second-order rate coefficient for the liquid phase reactions of NO3 with X-) for the reactive uptake of NO3...

the aim of present study was to determine the relationship between emotional intelligence and its five domains with job satisfaction in physical education teachers. the research method was descriptive – correlation and statistical population consisted of all physical education teachers of zanjan province in 1386-1387. out of 486 physical education teachers, the sample of the study consisted of ...

this research was designed to identify garlic (allium sativum l.) bolting clones and determining the relationship between their morphological traits and bolting capacity by using statistical methods of analysis of variance, comparison of means, correlation coefficients, factor analysis, stepwise regression, path analysis and cluster analysis. traits including flowering ability, number, length a...

Next-generation sequencing techniques produce an enormous amount of sequence data. Analyzing these sequences requires an efficient method that can handle large amounts of data. Self-organizing maps (SOMs), which use the frequencies of N-tuples and correlation coefficients of nucleotide, can categorize sets of DNA sequences with unsupervised learning. And Pareto learning SOM can classify the DNA...