Results 51 to 60 of about 5,254 (156)

The dynamics of Pythagorean Triples [PDF]

open access: yesTransactions of the American Mathematical Society, 2008
25 pages, 3 ...
openaire   +3 more sources

The Delivery Time Performance Study of a Novel Collaborative Delivery System Integrating Drones and Ground Public Transit for Urban Last‐Mile Delivery

open access: yesJournal of Advanced Transportation, Volume 2025, Issue 1, 2025.
With the rapid expansion of e‐commerce, effectively managing last‐mile delivery while satisfying consumer demands for timeliness and convenience has become increasingly imperative. Traditional delivery systems, which predominantly depend on human labor and freight vehicles, encounter significant challenges, including traffic congestion, escalating ...
Shaozhi Hong   +3 more
wiley   +1 more source

Characterization of Diophantine Equations a + y2 = z2, Pythagorean n‐Tuples, and Algebraic Structures

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
Let N,Z, and Q be the sets of natural, integers, and rational numbers, respectively. Our objective, involving a predetermined positive integer a, is to study a characterization of Diophantine equations of the form a + y2 = z2. Building on this result, we aim to obtain a characterization for Pythagorean n‐tuples.
Roberto Amato, Anwar Saleh Alwardi
wiley   +1 more source

Diophantus' 20th Problem and Fermat's Last Theorem for n=4: Formalization of Fermat's Proofs in the Coq Proof Assistant

open access: yes, 2005
We present the proof of Diophantus' 20th problem (book VI of Diophantus' Arithmetica), which consists in wondering if there exist right triangles whose sides may be measured as integers and whose surface may be a square.
Delahaye, David, Mayero, Micaela
core   +1 more source

Multiple Pythagorean Number Triples [PDF]

open access: yesThe American Mathematical Monthly, 1991
ALBERT FASSLER obtained his bachelor's degree in Mechanical Engineering at the HTL in Winterthur before he studied Mathematics at the Eidgenossische Technische Hochschule ETH in Zurich (Federal Institute of Technology). After graduation, he worked under Eduard Stiefel at the Seminar ffur Angewandte Mathematik (Seminar for Applied Mathematics) at the ...
openaire   +1 more source

Pythagorean Triples and a New Pythagorean Theorem

open access: yes, 2007
21 pages, 5 figures, 3 tables Repaired ...
Price, H. Lee, Bernhart, Frank R.
openaire   +2 more sources

Enhanced Sensing Capacity of Terahertz Triple-Band Metamaterials Absorber Based on Pythagorean Fractal Geometry. [PDF]

open access: yesMaterials (Basel), 2022
Mazare AG   +9 more
europepmc   +1 more source

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