• 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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  • Thumbnail for Fritz Carlson
    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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  • 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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  • 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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  • 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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    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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    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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