The modular representation theory of the queer Lie superalgebra q(n) over characteristic p > 2 is developed. We obtain a criterion for the irreducibility of baby Verma modules with semisimple p-characters χ and a criterion for the semisimplicity of the corresponding reduced enveloping algebras Uχ(q(n)). A (2p)-power divisibility of dimensions of q(n)-modules with nilpotent p-characters is estab...

In this paper, we define bi-periodic (p,q)-Fibonacci and (p,q)-Lucas sequences, which generalize Fibonacci type, Lucas type using recurrence relations of sequences. Generating functions Binet formulas that allow us to calculate the nth terms these sequences are given convergence properties their consecutive examined. Also, prove some fundamental identities conform well-known

Main purpose of this paper is to describe the background of interest rate modeling, i.e. introduce main division of interest rate models, explain what is the instantaneous interest rate and what is its suitable representative. We will deeply focus on Vaš́ıček and Hull-White model and analyze problem of the calibration of these models. Introduction It is well known that interest rates and their s...

This paper gives a literature review of detection theory and information theory in the Poisson regime, where the channel model is a Poisson point process whose instantaneous rate is controlled by the input. I. Communication under the Poisson Regime In the semi-classical model of photodetection, the output of the photodetector (e.g. a p-i-n diode) is the superposition of two independent Poisson ...

In this paper, we introduce a tiling approach to (p,q)-Fibonacci and (p,q)-Lucas numbers that generalize of the well-known Fibonacci, Lucas, Pell, Pell-Lucas, Jacobsthal ve Jacobsthal-Lucas numbers. We show nth number is interpreted as ways tile 1×n board with cells labeled 1,2,...,n using colored 1×1 squares 1×2 dominoes, where there are p kind colors for q dominoes. Then circular also present...

Elastance-resistance [E(t)-R] representations of the left ventricle (LV) were evaluated for their ability to reproduce instantaneous pressure [P(t)] and outflow [Q(t)]. Experiments were performed in open-chest rats. P(t) and Q(t) were measured during steady-state ejecting beats and during a beat in which the aorta was suddenly clamped. The degree of clamping varied from partial to total occlusi...