Results 61 to 70 of about 81,722 (194)
An Efficient Grid-Based Geocasting Scheme for Wireless Sensor Networks. [PDF]
Sensors (Basel), 2023 Wang NC +4 more
europepmc +1 more source
Novel Design Techniques for the Fermat Spiral in Antenna Arrays, for Maximum SLL Reduction. [PDF]
Micromachines (Basel), 2022 Encino K +3 more
europepmc +1 more source
A Factorial Power Variation of Fermat\u27s Equation
, 2017 We consider a variant of Fermat\u27s well-known equation xn+yn=zn. T his variant replaces the usual powers with the factorial powers defined by xn=x(x-1)...(x-(n-1)). For n=2 we characterize all possible integer solutions of the equation. For n=3 we
Green, Matthew J.
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$S$-unit equations and the asymptotic Fermat conjecture over number fields
, 2022 Recent attempts at studying the Fermat equation over number fields haveuncovered an unexpected and powerful connection with $S$-unit equations. Inthis expository paper we explain this connection and its implications for theasymptotic Fermat conjecture.
Ozman, E. ; https://orcid.org/ +1 more
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Derivation of closed-form ellipsoidal X-ray mirror shapes from Fermat's principle. [PDF]
J Synchrotron Radiat, 2022 Goldberg KA.
europepmc +1 more source
Elementary proof of Fermat Last Theorem based on parity considerations and binomial expansions
, 2019 An elementary proof of Fermat Last Theorem (FLT) on the basis of binomial expansions and parity considerations is proposed. FLT was formulated by Fermat in 1637, and proved by A. Wiles in 1995. Here, a simpler approach is studied.
Shestopaloff Yu. K.
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On a Schwarzian PDE associated with the KdV hierarchy [PDF]
, 2000 We present a novel integrable non-autonomous partial differential equation of the Schwarzian type, i.e. invariant under M\"obius transformations, that is related to the Korteweg-de Vries hierarchy.
Hone, A. N. W. +8 more
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The proof of Fermat\u27s last theorem
, 2000 Fermat, Pierre de, is perhaps the most famous number theorist who ever lived. Fermat\u27s Last Theorem states that the equation xn + yn = zn has no non-zero integer solutions for x, y and z when n ...
Trad, Mohamad
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On the Brahmagupta-Fermat-Pell Equation: The Chakravāla or Cyclic algorithm revisited
, 2023 In the following pages we take a fresh look at the ancient Indian Chakravāla or Cyclic algorithm for solving the Brahmagupta-Fermat-Pell quadratic Diophantine equation in integers taking account of recent developments.
Mitter, Pronob
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The Fermat equation over quadratic fields
, 1982 In this thesis we attempt to generalize some of Kummer's work on Fermat's Last Theorem over the rational numbers to quadratic fields. In particular, under certain congruence conditions it is shown that the Fermat equation of exponent p has no solution ...
Hao, Hsin-Seng Fred
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