The Fibonacci series 1, 1, 2, 3, 5, 8, 13, 21… origin is re-examined and new series are obtained using different constraints. Their governing equations are derived and the effects of constant and series-dependent multipliers are explored. Systems of co-dependent series are studied and mapping...

We derive a uniform bound for the difference of two contractive semigroups, if the difference of their generators is form-bounded by the Hermitian parts of the generators themselves. We construct a semigroup dynamics for second order systems with fairly general operator coefficients and apply...

The paper is dedicated to the development and analysis of a general methodology for constructing artificial boundary conditions (ABCs ) for numerical solution to differential problems in unbounded domains. Our approach is essentially based on the employment of the techniques of time and...

The chi-squared test of homogeneity is used to formulate a gross measure of compositional heterogeneity that is scale-invariant and independent of sequence origin. When computed from the position-dependent mononucleotide compositions of 24 microbial chromosome sequences, this (base 10)...

We employ the technique of splitting for constructing artificial boundary conditions (ABCs) for the linear advection-diffusion-reaction equation when the computational domain is an D open set with a piecewise smooth artificial boundary. The splitting is performed both by the physical processes...

We extend the approaches developed in the papers by Kaps and Rentrop and by Schatzman, and suggest a method for highly accurate time integration of linear first-order evolutionary PDEs. The main idea is to generalise the Runge-Kutta methods for complex timesteps, which reduces the problem of...

Foundation of paralogical nonstandard analysis and its application to some famous problems of trigonometrical and orthogonal series.PartII. Jaykov Foukzon Israel Institute of Technology, Haifa, Israel Tel. 03-517-26-90 Telaviv st.Rambam 7a/2 I. Introduction. L. Carleson s celebrated theorem of...

By means of Heaviside operational schemes, formal differential operators [i.e., Arbitrary functions of the derivative symbols] are realised as convolution operators on the prescribed class of operands. This connection allows an alternative framework for momentum and configuration space...

In previous work [5] (for = 2) we had defined a certain reduced additive labelling, depending on an integer 2 of the complete graph of order We investigate all pairs () such that the number of such labellings is finite. If this number is finite, then for 2 18 we determine this number ()