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A systematic literature review of logistics services outsourcing. [PDF]
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Enhancing breast cancer treatment selection through 2TLIVq-ROFS-based multi-attribute group decision making. [PDF]
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The Mathematics Teacher, 1986
If a class of students completing a course in plane geometry is asked to cite a few examples of primitive Pythagorean triples (those whose greatest common divisor is 1), their answers can be assumed to be 3, 4, 5; 5, 12, 13; 8. 15, 17: and 7, 24, 25.
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If a class of students completing a course in plane geometry is asked to cite a few examples of primitive Pythagorean triples (those whose greatest common divisor is 1), their answers can be assumed to be 3, 4, 5; 5, 12, 13; 8. 15, 17: and 7, 24, 25.
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A CHARACTERIZATION OF PYTHAGOREAN TRIPLES
JP Journal of Algebra, Number Theory and Applications, 2017Summary: The main aim of this paper is to present an analytic result which characterizes the Pythagorean triples via a cathetus. This way has the convenience to find easily all Pythagorean triples \(x,y,z\in\mathbb{N}\), where \(x\) is a predetermined integer, which means finding all right triangles whose sides have integer measures and one cathetus is
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JEŚMANOWICZ’ CONJECTURE ON PYTHAGOREAN TRIPLES
Bulletin of the Australian Mathematical Society, 2017In 1956, Jeśmanowicz conjectured that, for any positive integers $m$ and $n$ with $m>n$, $\gcd (m,n)=1$ and $2\nmid m+n$, the Diophantine equation $(m^{2}-n^{2})^{x}+(2mn)^{y}=(m^{2}+n^{2})^{z}$ has only the positive integer solution $(x,y,z)=(2,2,2)$. In this paper, we prove the conjecture if $4\nmid mn$ and $y\geq 2$.
Ma, Mi-Mi, Chen, Yong-Gao
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Generalized Pythagorean Triples
The College Mathematics Journal, 1985Penn State University in 1969. He is presently a professor of mathematics at the Germantown, Maryland Campus of Montgomery College. Prior to joining the Montgomery Col? lege faculty, he served on the mathematics faculties of Penn State University and the U. S. Naval Academy. He has also worked as a mathematician for the Computing Laboratory at Aberdeen
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The College Mathematics Journal, 1992
(1992). Primitive Pythagorean Triples. The College Mathematics Journal: Vol. 23, No. 5, pp. 413-417.
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(1992). Primitive Pythagorean Triples. The College Mathematics Journal: Vol. 23, No. 5, pp. 413-417.
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