Results 81 to 90 of about 81,722 (194)
A Variational Framework for Fermat-Type Equations
This paper establishes a continuous variational framework to resolve Fermat-type equations ($x^n + y^n = z^n$). By evaluating the continuous geometric volume against the absolute rigidity of the discrete integer lattice, we expose a fundamental structural incompatibility.
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Genetic algorithm optimization of heliostat field layout for the design of a central receiver solar thermal power plant. [PDF]
Heliyon, 2023 Haris M +8 more
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On the Meromorphic Solutions of Fermat-Type Differential Equations
Journal of Applied Mathematics and Physics, 2022 Dengfeng Liu, Biao Pan
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Solution of a singular integral equation by a split-interval method
, 2007 The article is available at http://www.math.ualberta.ca/ijnam/Volume-4-2007/No-1-07/2007-01-05.pdf. This article is not available through the Chester Digital RepositoryThis article discusses a new numerical method for the solution of a singular integral ...
Ford, Neville J. +3 more
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Entire solutions of Fermat type \(q\)-difference differential equations
Electronic Journal of Differential Equations, 2013 Summary: In this article, we describe the finite-order transcendental entire solutions of Fermat type \(q\)-difference and \(q\)-difference differential equations. In addition, we investigate the similarities and other properties among those solutions.
Kai Liu, Ting-Bin Cao
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, 2014 First conjectured by Fermat in the 1630s, Fermat\u27s Last Theorem has cause a great deal of advancement in the field of number theory. It would take the introduction of an entire new branch of mathematics in order to devise a proof for the rather ...
Forcier, William
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Partial descent on hyperelliptic curves and the generalized Fermat equation x3+y4+z5=0
, 2011 Let C: y(2)=f(x) be a hyperelliptic curve defined over Q. Let K be a number field and suppose f factors over K as a product of irreducible polynomials f=f(1) f(2) ... f(r).
Michael Stoll +3 more
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, 2005 An implementation of the localized boundary-domain integral-equation (LBDIE) method for the numerical solution of the Neumann boundary-value problem for a second-order linear elliptic PDE with variable coefficient is discussed.
Mikhailov, SE, Nakhova, IS
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, 1984 This paper continues the search to determine for what exponents n Fermat's Last Theorem is true. The main theorem and Corollary 1 consider the set of prime exponents p for which mp + 1 is prime for certain even integers m and prove the truth of FLT in ...
Powell, Barry J
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In this article, we study the asymptotic solutions of the generalized Fermat-type equation of signature $(p,p,3)$ over totally real number fields $K$, i.e., $Ax^p+By^p=Cz^3$ with prime exponent $p$ and $A,B,C \in \mathcal{O}_K \setminus \{0\}$.
Kumar, Narasimha, Sahoo, Satyabrat
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