On the Non-Homogeneous Octic Equation with Five Unknowns ¬
Journal Title: Scholars Journal of Physics, Mathematics and Statistics - Year 2014, Vol 1, Issue 2
Abstract
The non-homogeneous octic equation with five unknowns represented by the diophantine equation is analyzed for its patterns of non-zero distinct integral solutions and two different patterns of integral solutions are illustrated. Various interesting relations between the solutions and special numbers, namely, Pyramidal numbers, Pronic numbers, Stella octangular numbers, Gnomonic numbers, polygonal numbers, fourth, fifth and sixth dimensional figurate numbers are exhibited.
Authors and Affiliations
M. A. Gopalan, G. Sumathi, S. Vidhyalakshmi
Keywords
Related Articles
- EP ID EP383446
- DOI -
- Views 115
- Downloads 0
On the bounds for the main proof measures in some propositional proof systems
Various proof complexity characteristics are investigated in three propositional proof systems, based on determinative disjunctive normal forms. The comparative analysis for size, time, space, width of proofs is given. F...
Canonical Correlation Analysis of the Big Five Factors of Personality and Future Anxiety among Palestinian University Students
This study explores the relationship between the Big-Five factors of Personality, which are Neuroticism, Extraversion, Openness to Experience, Agreeableness and Conscientiousness, and four domains of Future Anxiety, whic...
Structural Characterization and Physical Properties of Hydnora africana
The physical properties of several parts of Hydnora triceps (Cover, root and seeds) were investigated. The structure of four parts of Hydnora was investigated using X-ray fluorescence (XRF) and X-ray diffraction (XRD). T...
On The Ternary Quadratic Diophantine Equation x2+ y2-xy=103z2
The ternary quadratic Diophantine equation represented by is analyzed for its non-zero distinct integer solutions. A few interesting properties between the solutions and special figurate numbers are obtained.
Statistical Model in Data Merging
Geologists through two different kinds of instruments and equipment distribution respectively of two particle size of molecules. Based on statistical theory, this paper from three perspectives, by using the methods of re...