article Open Access
Pythagorean triplets (alternative approach, algebraic operations, dual of given triplets, and new observations)
International Journal of Applied Research · 2015 · Vol. 1(10) · pp. 820–826
Abstract
In this paper we have introduced a new approach tantamounting the regular one. It helps derive some additional algebraic properties. The novel concept of finding dual triplets of a given triplet and its generalization is an important feature of this note. Some new observations on ratios of corresponding sides of consecutive odd Pythagorean triplets and numerical properties related to ‘Jha sequence’ and ‘NSW sequence’ are explicitly demonstrated and derived in three annexure.
Mathematics and ApplicationsNonlinear Waves and SolitonsAdvanced Mathematical TheoriesPythagorean theoremGeneralizationSequence (biology)Algebraic numberDual (grammatical number)Feature (linguistics)MathematicsExtension (predicate logic)Algebra over a fieldAlgebraic structure
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