In the present paper we consider the countable state p-adic Potts model on Z+. A main aim is to establish the existence of the strong phase transition for the model. In our study, we essentially use one dimensionality of the model. To prove the existence of the phase transition, we reduce the problem to the investigation of an in�nite-dimensional

We provide a solvability criterion for a cubic equation in domains . We show that, in principal, the Cardano method is not always applicable for such equations. Moreover, the numbers of solutions of the cubic equation in domains are provided. SinceJuly 8, 2014 15:29 WSPC/S1793-0421 203-IJNT 1450020 International Journal of Number Theory Vol. 10, No

The morphogenesis of sense organs and related behavioural changes in the hatchery-reared brown-marbled grouper Epinephelus fuscoguttatus larvae were examined to gain better understanding of its early life history because ecological field observations for grouper species is difficult. The newly hatched larvae (2.1 mm total length) had developing eye

A quadratic stochastic operator (QSO) is usually used to present the time evolution of differing species in biology. Some quadratic stochastic operators have been studied by Lotka and Volterra. The general problem in the nonlinear operator theory is to study the behavior of operators. This problem was not fully finished even for quadratic stochasti

This study examined the retinomotor responses and prey ingestion rates of 10-, 15-, 20- and 30-day-old Asian seabass Lates calcarifer under different light intensities from 0 to 1000 lx to determine the visual thresholds. Subsequently, two age groups of seabass larvae were reared under light intensities of 10, 100 and 1000 lx to determine the optim

In the present paper we study recurrence equations over k-ary trees. Namely, each equation is assigned to a vertex of the tree, and they are generated by contractive functions defined on an arbitrary non-Archimedean algebra. The main result of this paper states that the given equations have at most one solution. Moreover, we also provide the existe

Egg hatching rates vary under different environmental conditions such as temperature, salinity, and light conditions. Light conditions are important for aquatic living things, as they affect growth and development. A few studies have been done on teleost eggs regarding optimum light conditions for incubation. For example, haddock eggs show that the

In the present work, we define such an ergodicity coefficient of a positive mapping defined on ordered Banach space with a base (OBSB), and study its properties. In terms of this coefficient we prove the equivalence uniform and weak ergodicities of homogeneous Markov chains.International Congress of Mathematicians August 5, 2014 iTechnical Editors

International Research, Invention and Innovation Exhibition (IRIIE) 2014 Organized By: International Islamic University Malaysia (IIUM) Malaysia, 11 - 12 June, 2014 Abstracts Collected and Edited by Mohammed Al Haek Muhammad Fuad Riza Zuhri Md Rabiul Awal Dini Hidayatul Qudsi Hazirah Bt. Harif Fadzilah Recky Dessia Istikoma Bt Abdullah Tanzeeba Rai

يهدف هذا البحث في دراسته الوصفية إلى ذكر الفرق بين النظرية والتطبيق في الأمـور المتعلِّقة بالأفكار النحوية العربية، ذلك أنَّ النحو العربي، كمثل سائر قواعد اللغات الأخرى، يعتمد على النظرية وا