Lattice Points on the Homogeneous Cone
Journal Title: Scholars Journal of Engineering and Technology - Year 2014, Vol 2, Issue 1
Abstract
The ternary quadratic homogeneous equation representing homogeneous cone given by by is analyzed for its non-zero distinct integer points on it. Three different patterns of integer points satisfying the cone under consideration are obtained. A few interesting relations between the solutions and special number patterns namely Polygonal number, Pyramidal number, Octahedral number, Pronic number, Stella Octangular number, Pentatope number and Nasty number are presented. Also knowing an integer solution satisfying the given cone, three triples of integers generated from the given solution are exhibited. Keywords: Ternary homogeneous quadratic, integral solutions
Authors and Affiliations
K. Meena . , S. Vidhyalakshmi, M. A. Gopalan, N. Sujitha
Keywords
Related Articles
- EP ID EP384750
- DOI -
- Views 92
- Downloads 0
Effect of Sodium Bentonite Clays on the Behaviours of Fresh Sprayed Mortars
Abstract:This paper presents an experimental study of mortars proportioned with various contents of bentonite. In comparable with a reference formulation, the effect of a bentonite-clay additive is investigated. To deter...
Risk Assessment of Steam-Injecting Pipe by the Grey Principle
Steam-injecting pipes of the heavy oil thermal recovery are always operating in high temperature and high pressure, corrosion, fatigue and creep are prevalent in the steam-injecting pipes which make the pipes be liable t...
A Design Model for the General Evolutionary Algorithm
Abstract:The study aims to solve the universality of evolutionary computation for solving different optimization problems, avoid the repeating design, and share codes, so as to improve the application efficiency of the a...
Rock Slope Stability Assessment Using Slope Mass Rating (SMR) Method: Gunung Lang Ipoh Malaysia
Abstract: Limestone hill are natural beauty due to their unique landscape and features of karst terrain. However, the hill may also pose danger to properties and human due to the instability of slope. Thus, the main obje...
Parametric and Item Study of Major Principles in the Pre-Treatment Process of Drilling Wastewater
The performance assessment of nano ferric oxide and mixtures of it (10 and 15 gr/lit) which contain mineral coagulants (5 and 10 mg/lit for evaluation of acidity of wastewater and 15 and 20 mg/lit for measuring of zeta p...