Integer Points on the Homogeneous Cone 7x2-2y2=10z2
Journal Title: Scholars Journal of Engineering and Technology - Year 2014, Vol 2, Issue 4
Abstract
The ternary quadratic representing a homogeneous cone is analysed for its non-zero distinct integral points. A few interesting properties among the solutions and polygonal numbers are presented. Given an integrer solution, six different triples of integers generating infinitely many integer solutions are exhibited. Keywords: ternary quadratic, homogeneous cone, integer points Mathematics subject classification:11D09
Authors and Affiliations
Gopalan. M. A, Vidhyalakshmi . S, Geetha . T
Keywords
Related Articles
- EP ID EP385055
- DOI -
- Views 62
- Downloads 0
Using MATLAB to achieve improved BP neural network model of remote sensing image classification
Application of improved BP neural network (NN) model to research the ETM + remote sensing (RS) data classification. Select six of LANDSAT 7 ETM + multi-spectral bands as the data source, through read the six ETM image re...
A new non-monotone line search technique
In this paper, we propose a new non-monotone line search algorithm for unconstrained optimization problems. We incorporate the proposed non-monotone strategy in [3] into an inexact Wolfe-type line search approach to cons...
The Effects of Iron-Ore Tailings on Setting Times of Some Commercial Cement
This work assessed three types of cement available commercially in terms of strength, porosity, setting and so on to prevent dangers waste of resources and to minimize cost of construction and if such similar commercial...
Multilingual Sentiment Analysis on Twitter dataset using Naive Bayes Algorithm
Sentiment Analysis which frequently passes by the name opinion mining is one of the noticeable field in lots of research is going ahead because of its interminable application like online networking monitoring, product r...
Performance Evaluation of A Stud Grinder for Roasted or Bone Dried Grains/Cereals Using ParticleDiscretization Analysis witha Vibrating Sieve.
Abstract:The performance of a stud grinding machine is done with particles size discretization analysis with sieve to validate its preference for bone dried or roasted materials. The discretization analysis is done by gr...