The paper presents a family of cycloidal cyclical surfaces, which are created by a movement of a circle alongside the special spatial cycloidal curve, where the circle is located in the curve normal plane and its centre is on this curve. The spatial cycloidal curve can be created by simultaneous revolution of a point about three different axes 3o,2 o and 1o in the space. The form of the cycloid...

We consider the Diophantine problem of Frobenius for semigroup S ( d ) where d denotes the tuple (d1, d2, d3), gcd(d1, d2, d3) = 1. Based on the Hadamard product of analytic functions [17] we have found the analytic representation for the diagonal elements akk ( d ) of the Johnson’s matrix of minimal relations [12] in terms of d1, d2, d3. Bearing in mind the results of the recent paper [10] thi...

This paper introduces MetTeL2, a tableau prover generator producing Java code from the specification of a tableau calculus for a logical language. MetTeL2 is intended to provide an easy to use system for non-technical users and allow technical users to extend the generated

The paper contains a combinatorial theorem (the sequence of Newton polygons of a reccurent sequence of polynomials is quasi-linear) and two applications of it in classical and quantum topology, namely in the behavior of the A-polynomial and a fixed quantum invariant (such as the Jones polynomial) under filling. Our combinatorial theorem, which complements results of Calegari-Walker [CW10] and t...

IASSIST Quarterly Introduction Researchers who work with large sequential datasets are often limited in the kinds of analytic strategies they can use because of the sheer size of the data. Automated techniques for analyzing sequences were developed in the 1960s by scientists studying DNA, RNA, and proteins. In a classic volume on sequence analysis, Sankoff and Kruskal (1983) demonstrated its po...

This work provides an optimal trading rule that allows buying and selling of an asset sequentially over time. The asset price follows a switchable mean-reversion model with a Markovian jump. Such model can be applied to assets with a “staircase” price behavior and yet simple enough to allow an analytic solution. The objective is to determine a sequence of trading times to maximize an overall re...

Results obtained with BeppoSAX observations of blazars within various collaborative programs are presented. The spectral similarity “paradigm”, whereby the spectral energy distributions of blazars follow a sequence, leading to a unified view of the whole population, is briefly illustrated. We concentrate on recent observations of flares and associated spectral variability long for three objects...

In this paper an analytic approach is devised to represent, and study the behavior of, nonlinear dynamic chaotic Genesio system using general nonlinear modal representation. In this approach, the original nonlinear ordinary differential equations (ODEs) of model transforms to a sequence of linear timeinvariant ODEs. By solving the proposed linear ODEs sequence, the exact solution of the origina...

Introduction Researchers who work with large sequential datasets are often limited in the kinds of analytic strategies they can use because of the sheer size of the data. Automated techniques for analyzing sequences were developed in the 1960s by scientists studying DNA, RNA, and proteins. In a classic volume on sequence analysis, Sankoff and Kruskal (1983) demonstrated its potential applicatio...