Novel Design Techniques for the Fermat Spiral in Antenna Arrays, for Maximum SLL Reduction. [PDF]
Encino K +3 more
europepmc +1 more source
Generalized Fermat equation: A survey of solved cases
Generalized Fermat equation (GFE) is the equation of the form axp+byq=czr, where a,b,c,p,q,r are positive integers.
Bogdan Grechuk (20341275) +1 more
core
Unit equations and Fermat surfaces in positive characteristic
In this article we study the three-variable unit equation $x + y + z = 1$ to be solved in $x, y, z \in \mathcal{O}_S^\ast$, where $\mathcal{O}_S^\ast$ is the $S$-unit group of some global function field.
Pagano, C., Koymans, P.
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P A THE SOLUTION OF FERMAT EQUATION IN THE RATIONAL POINTS OF THE UNITARY CIRCUMFERENCE
: In this work we resolve the Fermat equation over rational points in the unitary circumference. For this we take a point (p 0 , q 0 ) in the unitary circumference x 2 + y 2 = 1, where p 0 , q 0 ∈ Q or q 0 ∈ I and p 0 ∈ I.
Cerna Maguiña, B Martin
core
Quotients et Diviseurs Diophantiens appliqués à l'Equation de Pythagore-Fermat
International audienceDiophantine equations have always fascinated mathematicians about existence, finitude, and the calculation of possible solutions. Among these equations, one of them will be the object of our research.
Kimou, Kouadio Prosper, Kouadio +1 more
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Full Complex-Amplitude Modulation of Surface Waves Based on Spin-Decoupled Metasurface. [PDF]
Li Q, Wu C, Xie Y, Li S, Li H, Jin L.
europepmc +1 more source
Derivation of closed-form ellipsoidal X-ray mirror shapes from Fermat's principle. [PDF]
Goldberg KA.
europepmc +1 more source
About regular primes and the last fermat theorem
El Último Teorema de Fermat, conjeturado por Pierre de Fermat en 1637, establece que la ecuación diofántica xn + yn = zn; no tiene soluciones enteras no nulas si n 3.
Oliveros Caicedo, María Angelica
core
Micromixer with Fine-Tuned Mathematical Spiral Structures. [PDF]
Yin B +5 more
europepmc +1 more source
k-dimensional error-free deconvolution using the fermat number transform
The paper presents the generalization of the one-dimensional deconvolution algorithm using the Fermat number transform for the k-dimensional deconvolution.
Morháč, M.
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