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pro vyhledávání: '"Aleshkevich, Natalia"'
Autor:
Aleshkevich, Natalia
The traditional construction of primitive Pythagorean triples by the formulas of two independent variables does not allow their ordering. The paper shows a new view on the construction of primitive Pythagorean triples. A method for constructing primi
Externí odkaz:
http://arxiv.org/abs/2205.06178
Perfect cuboid, primitive Pythagorean triples and Eulerian parallelepipeds. Dynamics of construction
Autor:
Aleshkevich, Natalia
One unsolved mathematical problem remains the perfect cuboid problem. A perfect cuboid is a rectangular parallelepiped whose edges, face diagonals and space diagonal are all expressed as integers. No such cuboid has yet been discovered and its existe
Externí odkaz:
http://arxiv.org/abs/2203.01149
Autor:
Aleshkevich, Natalia
The paper presents a systematic construction of primitive Pythagorean triples. The order of enumeration on the set of primitive Pythagorean triples is defined. The order is based on the representation of a primitive Pythagorean triple by dividing the
Externí odkaz:
http://arxiv.org/abs/2108.06799
Autor:
Aleshkevich, Natalia
The paper found a geometric and algebraic interpretation of the parameters m and n from the formulas for obtaining primitive Pythagorean triples, which are solutions of the equation ${x^2+y^2=z^2}$, namely: ${x=m^2-n^2}$, ${y=2mn}$, ${z=m^2+n^2}$. Th
Externí odkaz:
http://arxiv.org/abs/1907.05540