Abstract Although a single-valued neutrosophic multi-valued set (SVNMVS) can reasonably and perfectly express group evaluation information make up for the flaw of multi-valued/hesitant sets in decision-making problems, its expression methods still lack ability to process single- interval-valued hybrid information. To overcome drawbacks, this study needs propose (SIVHNMVSs), correlation coeffici...

We present a SAS macro for improved statistical inference for measures of association, including Pearson's correlation, Spearman's coefficient, and Kendall's coefficient. While the CORR procedure is a powerful tool for calculating and testing these coefficients, some analyses are lacking. For example, the CORR procedure does not incorporate recent theoretical improvements in confidence interval...

Abstract In this paper, we use interval-valued fuzzy numbers to fuzzify the crisp linear programming to three cases. The first case, we use intervalvalued fuzzy numbers to fuzzify the coefficients in the objective function. We get a linear programming in the fuzzy sense. The second case, we use interval-valued fuzzy numbers to fuzzify the coefficients akj in the constraints about xj, j = 1, 2, ...

In a recent article, a complete discrimination system was given for a polynomial with symbolic/literal coefficients. Such a system is a set of explicit expressions in terms of the coefficients, which is sufficient for determining the numbers and multiplicities of the real and imaginary roots. Sometimes, however, one wants to know the number of roots in a certain range, especially, in a interval...

We study a type of third-order linear differential equations with variable and unbounded coefficients, which are defined in an infinite interval. also consider non-linear generalization coefficients that depends on unknown function. establish sufficient conditions for the correctness this equation maximal regularity estimate their solution. Using these results, we prove solvability nonlinear no...

The decomposition of the tensor product of a positive and a negative discrete series representation of the Lie algebra su(1, 1) is a direct integral over the principal unitary series representations. In the decomposition discrete terms can occur, and the discrete terms are a finite number of discrete series representations or one complementary series representation. The interpretation of Meixne...

This paper characterizes the first cohomology group H(G,M) where M is a Banach space (with norm || ||M) that is also a left CG module such that the elements of G act onM as continuous C-linear transformations. We study this group for G an infinite, finitely generated group. Of particular interest are the implications of the vanishing of the group H(G,M). The first result is that H(G,CG) imbeds ...

The non-relativistic quark model has been a useful tool in the study of hadrons. Baryons and mesons are described by quantum mechanical wavefunctions for nonrelativistic constituent quarks. The lowest lying baryons, the 81/2 and 103/2, are three quark states with wavefunctions which are completely antisymmetric in color, and completely symmetric in position and spin-flavor. The properties of ba...

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...