in the area of complex analysis, Carlson's theorem is a uniqueness theorem which was discovered by Fritz David Carlson. Informally, it states that two...
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California, USA Carlson's patrol, USMC operation during Guadalcanal campaign Carlson Stadium, Decorah, Iowa, USA Carlson's theorem, uniqueness theorem about a...
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Institute. Carlson's contributions to analysis include Carlson's theorem, the Polyá–Carlson theorem on rational functions, and Carlson's inequality (...
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of complex numbers are far more tightly constrained, and require Carlson's theorem to hold. Mahler, K. (1958), "An interpolation series for continuous...
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(Daubechies wavelet filters) Binomial series Binomial theorem Binomial transform Binomial type Carlson's theorem Catalan number Fuss–Catalan number Central binomial...
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(harmonic analysis) Carlson's theorem (complex analysis) Carmichael's theorem (Fibonacci numbers) Carnot's theorem (geometry) Carnot's theorem (thermodynamics)...
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the replica trick works would be to check that the assumptions of Carlson's theorem hold, especially that the ratio ( Z n − 1 ) / n {\displaystyle (Z^{n}-1)/n}...
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Newton form of the interpolation polynomial Bernstein polynomial Carlson's theorem Lebesgue constant The Chebfun system Table of Newtonian series Frobenius...
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Hadamard product for cosine. Jensen's formula Carlson's theorem Exponential type Paley–Wiener theorem Wiman-Valiron theory If necessary, the logarithm...
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sum actually represents a family of functions. However, due to the Carlson's theorem, the solution equal to its Newton series expansion is unique up to...
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{\displaystyle \sin(\pi z)} along the imaginary axis. So, for this example, Carlson's theorem cannot apply, as it requires functions of exponential type less than...
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weakened all the way to the assumption that f is merely continuous. Carlson's theorem provides necessary and sufficient conditions for a Newton series to...
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short proof of this representation of the zeta function, based on Carlson's theorem, was presented by Philippe Flajolet in 2006. The asymptotic behavior...
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Phragmén–Lindelöf principle (redirect from Phragmén-Lindelöf theorem)
Lindelöf's theorem. Carlson's theorem is an application of the principle to functions bounded on the imaginary axis. Hadamard three-lines theorem The term...
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and w = ( e t − 1 ) e β t {\displaystyle w=(e^{t}-1)e^{\beta t}} . Carlson's theorem Bernoulli polynomials of the second kind Ralph P. Boas, Jr. and R...
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Hermite interpolation Carlson's theorem Table of Newtonian series Dunham, William (1990). "7". Journey Through Genius: The Great Theorems of Mathematics. Kanak...
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Mathematical Monthly describing the theorem. Bôcher's theorem for rational functions "Carlson's proof of Marden's theorem" (PDF). Kalman, Dan (2008a), "An...
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{\displaystyle \sin(\pi z)} along the imaginary axis. So, for this example, Carlson's theorem cannot apply, as it requires functions of exponential type less than...
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transform List of factorial and binomial topics Nörlund–Rice integral Carlson's theorem Philippe Flajolet and Robert Sedgewick, "Mellin transforms and asymptotics:...
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The fluctuation–dissipation theorem (FDT) or fluctuation–dissipation relation (FDR) is a powerful tool in statistical physics for predicting the behavior...
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In mathematics, the Graham–Rothschild theorem is a theorem that applies Ramsey theory to combinatorics on words and combinatorial cubes. It is named after...
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Marilyn vos Savant (section Fermat's Last Theorem)
Last Theorem, Savant published the book The World's Most Famous Math Problem (October 1993), which surveys the history of Fermat's Last Theorem as well...
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of algebraic geometry are fundamental in Wiles's proof of Fermat's Last Theorem, a problem that was stated in terms of elementary arithmetic, and remained...
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Hilbert transform (section Titchmarsh's theorem)
Chapter V. Titchmarsh 1948, Theorem 95. Titchmarsh 1948, Theorem 103. Titchmarsh 1948, Theorem 105. Duren 1970, Theorem 4.2. see King 2009a, § 4.22....
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Paul Wolfskehl (offered a cash prize for the solution to Fermat's Last Theorem) abc conjecture Jaffe, Arthur M. (June–July 2006). "The Millennium Grand...
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Eli Heckscher (section Heckscher–Ohlin theorem)
the Stockholm School of Economics. He is known for the Heckscher–Ohlin theorem, an influential model of international trade that predicts that capital-abundant...
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200) prize for the first correct proof. Mordell (1922) proved Mordell's theorem: the group of rational points on an elliptic curve has a finite basis....
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between that of x and z. The duplication theorem can be used for a fast and robust evaluation of the Carlson symmetric form of elliptic integrals and...
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Saul Kripke (section Carlson models)
completeness theorem in modal logic". Journal of Symbolic Logic. 24 (1): 1–14. doi:10.2307/2964568. JSTOR 2964568. S2CID 44300271. Carlson, Tim (February...
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rough estimate of biological condition of water bodies. Carlson's index was proposed by Robert Carlson in his 1977 seminal paper, "A trophic state index for...
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