Results 51 to 60 of about 2,846 (143)
World Journal of Surgery, Volume 49, Issue 2, Page 483-493, February 2025.Abstract Introduction Transarterial chemoembolization (TACE) has an established role in advanced HCC. The present study evaluates the role of TACE as a neoadjuvant modality in the management of intermediate HCC [Hong Kong Liver Cancer (HKLC) stage IIB].
Kunal Nandy +8 more
wiley +1 more source
, 2021 Pythagorean triples are the positive integer solutions to the Pythagoras equation for right triangles, a2+b2 = c2. They have been studied for many years, many centuries in fact. In this short paper we present a method for computing Pythagorean triples in general, the first two cases of which go back at least to the early Pythagoreans (570-495 BCE), and
openaire +2 more sources
Uma Heurística Platônica para Termos Pitagóricos
Princípios, 2010 In The Republic, Plato presents the analogy of the divided line in order to unify his ontological, epistemological and cosmological doctrine. It is rarely noted, however, that the divided line has mathematical applications.
John A. Fossa, Glenn W. Erickson
doaj
Assessing circularity and sustainability of a value chain: A systematic literature review
Business Strategy and the Environment, Volume 34, Issue 1, Page 634-647, January 2025.Abstract Value chains have become increasingly complex, complicating the transition to a circular economy and the pursuit of sustainable development. This transition requires assessing economic, environmental, social, and governance dimensions. We conduct a systematic literature review to evaluate whether existing methodologies can effectively assess ...
Rosa Esteban‐Amaro +4 more
wiley +1 more source
Journal 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
The dynamics of Pythagorean Triples [PDF]
Transactions of the American Mathematical Society, 2008 25 pages, 3 ...
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International 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
All solutions of consecutive natural numbers sum equation and their closed forms
Al-JabarPurpose: This study aims to find a closed-form solution for all ordered pairs of natural numbers (?,?) satisfying the consecutive natural number sum equation 1 + 2 + ⋯ + ? sama dengan (? + 1) + (? + 2) + ⋯ + ?. This research contributes to number theory,
Sofihara Al Hazmy +3 more
doaj +1 more source
Non-Euclidean Pythagorean triples, a problem of Euler, and rational points on K3 surfaces
, 2006 We discover suprising connections between three seemingly different problems: finding right triangles with rational sides in a non-Euclidean geometry, finding three integers such that the difference of the squares of any two is a square, and the problem ...
Robin Hartshorne, Ronald, Van Luijk
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, 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
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