trust is an important element in human relations and cooperation between members of the organization. trust can be the interpersonal or inter-group, in special mode; or be generalized and related to the whole organization in general mode. special-generalized trust as a complex interactive process is influenced by various personal and social factors and variables. some of the most important fact...

Inspired by the k-inversion statistic for LLT polynomials, we define a k-inversion number and k-descent set for words. Using these, we define a new statistic on words, called the k-major index, that interpolates between the major index and inversion number. We give a bijective proof that the k-major index is equi-distributed with the major index, generalizing a classical result of Foata and red...

In this paper, we prove a Morse index theorem for the index form of even order linear Hamiltonian systems on the closed interval with reasonable self-adjoint boundary conditions. The highest order term is assumed to be nondegenerate.

In the weak-field limit of General Relativity, gravitational waves obey linear equations and propagate at the speed of light. These properties of General Relativity are supported by the observation of ultra high energy cosmic rays as well as by LIGO’s recent detection of gravitation waves. We argue that two existing relativistic generalizations of Modified Newtonian Dynamics, namely Generalized...

We develop a general instability index theory for an eigenvalue problem of the type Lu = λu′, for a class of self-adjoint operators L on the line R. More precisely, we construct an Evans-like function to show (a real eigenvalue) instability in terms of a Vakhitov-Kolokolov type condition on the wave. If this condition fails, we show by means of Lyapunov-Schmidt reduction arguments and the Kapit...

Let A be a completely rational net and A ⊂ B an extension of A with finite index. In this talk we will describe a recent general result which shows that the (maximal version of ) generalized Wall’s conjecture is true for the pair A ⊂ B. When combined with earlier results on cosets and conformal inclusions, this gives infinite families of subfactors from CFT which verify generalized Wall’s conje...