We show that the Jones-Wassermann subfactors for disconnected intervals, which are constructed from the representations of loop groups of type A, are finite-depth subfactors. The index value and the dual principal graphs of these subfactors are completely determined. The square root of the index value in the case of two disjoint intervals for vacuum representation is the same as the Quantum 3-m...

For Hill’s equations with matrix valued periodic potential, we discuss relations between the Morse index, counting the number of unstable eigenvalues, and the Maslov index, counting the number of signed intersections of a path in the space of Lagrangian planes with a fixed plane. We adapt to the one dimensional periodic setting the strategy of a recent paper by J. Deng and C. Jones relating the...

We propose a simple stochastic model for time series which is analytically tractable, easy to simulate and which captures some relevant stylized facts of financial indexes, including scaling properties. We show that the model fits the Dow Jones Industrial Average time series in the period 1935-2009 with a remarkable accuracy. Despite its simplicity, the model has several interesting features. T...

Lennard-Jones-Devonshire equation of state is an old but theoretical based EOS. The concept of the nearest neighboring molecules or coordination number is proposed to be a function of temperature and volume, whereas it is a constant in the original. The dilute gas and hard sphere limits of molecules are employed to determine this function. Improvement of this modification is demonstrated by pro...

We show that the set of colored Jones polynomials and the set of generalized Alexander polynomials defined by Akutsu, Deguchi and Ohtsuki intersect non-trivially. Moreover it is shown that the intersection is (at least includes) the set of Kashaev’s quantum dilogarithm invariants for links. Therefore Kashaev’s conjecture can be restated as follows: The colored Jones polynomials determine the hy...

extramedullary plasmacytomas are plasma cell tumors that arise outside the bone marrow. they are most often located in the head and neck. extramedullary plasmacytomas account for approximately 3 percent of plasma cell malignancies. the diagnosis of an extramedullary plasmacytoma depends upon the demonstration of a monoclonal plasma cell tumor at an extramedullary site with no evidence of multip...

The purpose of this study is to identify and analyze the impact global index, are Dow Jones Index (DJIA), Nikkei 225(N225), Shanghai Composite Indеx (SSEC) Singapore Straits Times (STI) Against Jakarta (JKSE) on Indonesia Stock Exchange (IDX). This type research explanatory with quantitative research. takes all time series data listed Index, 225 Іndеx, for period January 2015 December 2019. sam...