Inverse spectroscopic optical coherence tomography (IS-OCT) methods apply inverse problem formulations to acquired spectra estimate depth-resolved sample properties. In the current study, we modelled time-frequency-distributions using Lambert-Beer’s law and implemented IS-OCT backscattering calculated from Mie theory, then demonstrated algorithm on polystyrene microspheres under idealized condi...

Identifying homogeneous regions based on spatial variables is vital for providing a certain and fixed region's temporal behavior. However, significant problem of non-separation rises when the geographic coordinates are utilized clustering, just because Euclidean distance not suitable clustering considering coordinates. Therefore, this study focuses employing such methods where minimum identifyi...

We answer a question posed by Lambert and Slater [7]. Consider a sequence of real numbers qn in the interval [0, 1] defined by q0 = 0, q1 = 1, and, for n ≥ 1, qn+1 equals an average of preceding terms in the sequence. The weights used in the average are provided by a triangular array pn,k of probabilities whose row sums are 1. What is the limiting behavior of a sequence qn so defined? For the L...

PURPOSE To evaluate the relationship between electrophysiological, psychophysical, and structural measurements in normal and glaucomatous eyes and to test the hypothesis that there is a continuous structure-function relationship between ganglion cell numbers and visual field sensitivity. METHODS Thirty-four normal subjects and 40 patients with glaucoma were examined with the pattern electrore...

This paper summarizes recent research on an approach for the analytical solution to systems of delay differential equations developed using the Lambert W function [26, 29], and its applications [25, 28]. Also, several outstanding research problems associated with the solution of systems of delay differential equations using the matrix Lambert W function are highlighted. The solution has the for...

I present a parametric, bijective transformation to generate heavy tail versions of arbitrary random variables. The tail behavior of this heavy tail Lambert W × F X random variable depends on a tail parameter δ ≥ 0: for δ = 0, Y ≡ X, for δ > 0 Y has heavier tails than X. For X being Gaussian it reduces to Tukey's h distribution. The Lambert W function provides an explicit inverse transformation...

This is a theoretical study of the SIR model — popular mathematical propagation infectious diseases. We construct solution Cauchy problem for system two ordinary differential equations describing in integral form concentration dynamics infected and recovered individuals an immune population. A qualitative analysis carried out stationary states using Lyapunov function. An expression obtained coo...

It is known that the M2-brane worldvolume superalgebra includes two p-form central charges that encode the M-theory intersections involving M2-branes. In this paper we show by explicit computation that the Bagger-Lambert Lagrangian realizes the M2-brane superalgebra, including also the central extensions. Solitons of the Bagger-Lambert theory, that are interpreted as worldvolume realizations of...