For any $A(z),B(z),C(z)\\in\\mathbb{C}z$, we study the zero distribution of a table polynomials ${P{m,n}(z)}{m,n\\in\\mathbb{N}\_0}$ satisfying recurrence relation $$ P{m,n}(z)=A(z)P{m-1,n}(z)+B(z)P{m,n-1}(z)+C(z)P{m-1,n-1}(z) with initial conditions $P{0,0}(z)=1$ and $P{-m,-n}(z)=0$ for all $m,n\\in\\mathbb{N}$. We show that zeros $P\_{m,n}(z)$ lie on curve whose equation is given explicitly i...

in this paper, we study the finitely many constraints of the fuzzyrelation inequality problem and optimize the linear objectivefunction on the region defined by the fuzzy max-product operator.simplification operations have been given to accelerate theresolution of the problem by removing the components having noeffect on the solution process. also, an algorithm and somenumerical and applied exa...

in this paper, we study the finitely many constraints of fuzzy relation inequalities problem and optimize the linear objective function on this region which is defined with fuzzy max-lukasiewicz operator. in fact lukasiewicz t-norm is one of the four basic t-norms. a new simplification technique is given to accelerate the resolution of the problem by removing the components having no effect on ...

Learners have difficulty in decomposing conventionally designed animations to obtain raw material suitable for building high quality mental models. A composition approach to designing animations based on the Animation Processing Model was developed as a principled alternative to prevailing approaches. It provides learners with pre-decomposed material that is structured and sequenced to facilita...

Codes may be characterized by how general they are with respect to the distribution of symbols they are meant to code. Universal coding techniques assume only a nonincreasing distribution. Golomb coding assumes a geometric distribution [1]. Fiala and Greene’s (start, step, stop) codes assume a piecewise uniform distribution function with each part distributed exponentially [2]. Huffman codes ar...

When considering function optimisation, there is a trade off between quality of solutions and the number of evaluations it takes to find that solution. Hybrid genetic algorithms have been widely used for function optimisation and have been shown to perform extremely well on these tasks. This paper presents a novel algorithm inspired by the mammalian immune system, combined with a unique mutatio...

We prove a result on the existence of periodic solutions of a class of systems of differentialdifference equations partially solved with respect to the first-order derivative by constructing it in a form of a series.