Epidemiologists often study the associations between a set of exposures and multiple biologically relevant outcomes. However, frequently used scale-and-context-dependent regression coefficients may not offer meaningful comparisons could further complicate interpretation if these outcomes do have similar units. Additionally, when scaling up hypothesis-driven based on preliminary data, knowing ho...

Innovation is critical to modern economies’ development; new process requirements within Industry 4.0 highlight its significance and necessity. This study aims identify the relationship between R&D expenditure aggregate innovation index in V4 countries. The statistical data from 2014 2021 are taken European Commission Eurostat databases. analysis focuses on identifying degree of cor...

background:  clavicle fractures are common and usually heal without complications. in this study, we evaluated the outcomes of non-operative versus operative management of displaced fractures.   methods:  in a prospective clinical trial study, sixty-five patients with displaced clavicle mid-shaft fractures were nonrandomly divided in two treatment groups. the first group underwent non-operative...

Let G be a group and A a G-algebra. The subrepresentation semiring of A is the set of subrepresentations of A endowed with operations induced by the algebra operations. The introduction of these semirings was motivated by a problem in material science. Typically, physical properties of composite materials are strongly dependent on microstructure. However, in exceptional situations, exact relati...

We propose a non-Abelian generalization of the Clebsch parameterization for a vector in three dimensions. The construction is based on a group-theoretical reduction of the Chern-Simons form on a symmetric space. The formalism is then used to give a canonical (symplectic) discussion of non-Abelian fluid mechanics, analogous to the way the Abelian Clebsch parameterization allows a canonical descr...

GT transitions in N = 28 ∼ 30 nuclei are studied in terms of a large-scale realistic shell-model calculation, by using Towner's microscopic parameters. B(GT) values to low-lying final states are reproduced with a reasonable accuracy. Several gross properties with respect to the GT transitions are investigated with this set of the wavefunctions and the operator. While the calculated total GT − s...

Abstract. We show that multivariable colored link invariants are derived from the roots of unity representations of Uq(g). We propose a property of the Clebsch-Gordan coefficients of Uq(g), which is important for defining the invariants of colored links. For Uq(sl2) we explicitly prove the property, and then construct invariants of colored links and colored ribbon graphs, which generalize the m...

The linearization problem is the problem of finding the coefficients Ck (m,n) in the expansion of the product Pn(x)Qm(x) of two polynomial systems in terms of a third sequence of polynomials Rk (x), Pn(x)Qm(x) = n+m ∑ k=0 Ck (m,n)Rk (x). The polynomials Pn , Qm and Rk may belong to three different polynomial families. In the case P = Q = R, we get the (standard ) linearization or Clebsch-Gordan...