In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that no three positive integers a, b,...
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Fermat's principle, also known as the principle of least time, is the link between ray optics and wave optics. Fermat's principle states that the path...
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mathematician Pierre de Fermat engendered many theorems. Fermat's theorem may refer to one of the following theorems: Fermat's Last Theorem, about integer...
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Wiles's proof of Fermat's Last Theorem is a proof by British mathematician Andrew Wiles of a special case of the modularity theorem for elliptic curves...
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search for a proof of Fermat's Last Theorem, first conjectured by Pierre de Fermat in 1637, and explores how many mathematicians such as Évariste Galois...
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de Fermat, a French amateur mathematician. Fermat–Apollonius circle Fermat–Catalan conjecture Fermat cubic Fermat curve Fermat–Euler theorem Fermat number...
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Geometric median (redirect from Fermat–Weber point)
known as Fermat's problem; it arises in the construction of minimal Steiner trees, and was originally posed as a problem by Pierre de Fermat and solved...
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is proportional to the distance from the center). Fermat spirals are named after Pierre de Fermat. Their applications include curvature continuous blending...
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Fermat's factorization method, named after Pierre de Fermat, is based on the representation of an odd integer as the difference of two squares: N = a...
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Andrew Wiles (category Fermat's Last Theorem)
of Oxford, specialising in number theory. He is best known for proving Fermat's Last Theorem, for which he was awarded the 2016 Abel Prize and the 2017...
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In additive number theory, Fermat's theorem on sums of two squares states that an odd prime p can be expressed as: p = x 2 + y 2 , {\displaystyle p=x^{2}+y^{2}...
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stationary point (the function's derivative is zero at that point). Fermat's theorem is a theorem in real analysis, named after Pierre de Fermat. By using...
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Maximum and minimum (redirect from Maximum point)
entire domain (the global or absolute extrema) of a function. Pierre de Fermat was one of the first mathematicians to propose a general technique, adequality...
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parity. Don Zagier used these observations to give a one-sentence proof of Fermat's theorem on sums of two squares, by describing two involutions on the same...
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Weber problem (section Definition and history of the Fermat, Weber, and attraction-repulsion problems)
problem of computing the Fermat point, the geometric median of three points. For this reason it is sometimes called the Fermat–Weber problem, although...
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Jacobi's theorem (geometry) (redirect from Jacobi point)
Jacobi [de], the lines AX, BY, CZ are concurrent, at a point N called the Jacobi point. The Jacobi point is a generalization of the Fermat point, which...
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This article collects together a variety of proofs of Fermat's little theorem, which states that a p ≡ a ( mod p ) {\displaystyle a^{p}\equiv a{\pmod {p}}}...
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theory and Diophantine geometry. For example, Fermat's Last Theorem may be restated as: for n > 2, the Fermat curve of equation x n + y n = 1 {\displaystyle...
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Adequality (section Fermat's method)
Adequality is a technique developed by Pierre de Fermat in his treatise Methodus ad disquirendam maximam et minimam (a Latin treatise circulated in France...
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near market. Weber's point of optimal transportation is a generalization of the Fermat point problem. In its simplest form, the Fermat problem consists in...
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Fermat's Last Tango is a 2000 off-Broadway musical about the proof of Fermat's Last Theorem, written by husband and wife Joshua Rosenblum (music, lyrics)...
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his 1924 thesis, de Broglie used the equivalence of the mechanical principle of least action with Fermat's optical principle: "Fermat's principle applied...
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Witch of Agnesi (category CS1 German-language sources (de))
points of a circle. The curve was studied as early as 1653 by Pierre de Fermat, in 1703 by Guido Grandi, and by Isaac Newton. It gets its name from Italian...
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Problem of points (section Pascal and Fermat)
1654 when Chevalier de Méré posed it to Blaise Pascal. Pascal discussed the problem in his ongoing correspondence with Pierre de Fermat. Through this discussion...
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in Latin, and became the technique of adequality developed by Pierre de Fermat to find maxima for functions and tangent lines to curves. Although not...
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Blaise Pascal (redirect from Louis de Montalte)
of conic sections at the age of 16. He later corresponded with Pierre de Fermat on probability theory, strongly influencing the development of modern...
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Pell's equation (redirect from Fermat's equation)
Pell's equation, also called the Pell–Fermat equation, is any Diophantine equation of the form x 2 − n y 2 = 1 , {\displaystyle x^{2}-ny^{2}=1,} where...
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Napoleon points (redirect from Napoleon point)
called the Fermat-Torricelli points, sometimes denoted F1 and F2. The intersection of the Fermat line (i.e., that line joining the two Fermat-Torricelli...
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solve a range of optical problems. Rejecting Descartes' solution, Pierre de Fermat arrived at the same solution based solely on his principle of least time...
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Fermat (named after Pierre de Fermat) is a program developed by Prof. Robert H. Lewis of Fordham University. It is a computer algebra system, in which...
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