In the mathematical field of analysis, Dini's theorem says that if a monotone sequence of continuous functions converges pointwise on a compact space and...
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rank theorem. Also called Dini's theorem by the Pisan school in Italy. In the English-language literature, Dini's theorem is a different theorem in mathematical...
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(Pisa, T. Nistri, 1878) Dini continuity Dini criterion Dini derivative Dini series Dini test Dini's theorem Dini's surface Dini–Lipschitz criterion See...
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Ulisse Dini, Italian mathematician, after which are named: Dini derivative Dini test Dini's theorem Dini criterion Dini's surface Dini continuity Dini–Lipschitz...
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algebra) Dini's theorem (analysis) Dirac's theorems (graph theory) Dirichlet's approximation theorem (Diophantine approximations) Dirichlet's theorem on arithmetic...
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Uniform convergence (redirect from Uniform convergence theorem)
Dini's theorem Arzelà–Ascoli theorem Sørensen, Henrik Kragh (2005). "Exceptions and counterexamples: Understanding Abel's comment on Cauchy's Theorem"...
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In calculus, the Abel–Dini–Pringsheim theorem is a convergence test which constructs from a divergent series a series that diverges more slowly, and from...
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_{f}(\delta ;t)} With these definitions we may state the main results: Theorem (Dini's test): Assume a function f satisfies at a point t that ∫ 0 π 1 δ ω...
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Moving 1-soliton: Dini's surface Breather solution: Breather surface 2-soliton: Kuen surface Hilbert's theorem (differential geometry) Dini's surface Gabriel's...
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. Dini test — a condition similar to local Dini continuity implies convergence of a Fourier transform. Stenflo, Örjan (2001). "A note on a theorem of...
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Symmetry of second derivatives (redirect from Young's Theorem)
Dini. In 1918, Carathéodory gave a different proof based on the Lebesgue integral. In mathematical analysis, Schwarz's theorem (or Clairaut's theorem...
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the Dini derivatives are well-defined for almost all functions, even for functions that are not conventionally differentiable. The upshot of Dini's analysis...
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that Busemann functions are Lipschitz functions with constant 1. By Dini's theorem, the functions F t ( x ) = d ( x , γ ( t ) ) − t {\displaystyle F_{t}(x)=d(x...
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Fourier transform (redirect from Fourier shift theorem)
Cauchy's integral theorem. Therefore, the Fourier inversion formula can use integration along different lines, parallel to the real axis. Theorem: If f(t) =...
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Denjoy–Young–Saks theorem gives some possibilities for the Dini derivatives of a function that hold almost everywhere. Denjoy (1915) proved the theorem for continuous...
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hyperbolic surfaces is the Kleinian model. Dini's surface Hyperbolic 3-manifold Ideal polyhedron Mostow rigidity theorem Murakami–Yano formula Pseudosphere Grigor'yan...
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are Dini continuous, then the harmonic functions are uniformly C k {\displaystyle C^{k}} as well. The second, more common version of the theorem states...
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Lipschitz continuity is the central condition of the Picard–Lindelöf theorem which guarantees the existence and uniqueness of the solution to an initial...
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Discontinuities of monotone functions (redirect from Froda's theorem)
In the mathematical field of analysis, a well-known theorem describes the set of discontinuities of a monotone real-valued function of a real variable;...
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Stochastic thermodynamics (section Fluctuation theorem)
resolution to Loschmidt's paradox is called the (steady state) fluctuation theorem (FT), which is a generalisation of the second law of thermodynamics. The...
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operator Fourier inversion theorem Sine and cosine transforms Parseval's theorem Paley–Wiener theorem Projection-slice theorem Frequency spectrum Discrete...
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Continuous function (redirect from Stepping Stone Theorem)
{\left|f(x_{0})-y_{0}\right|}{2}}.} The intermediate value theorem is an existence theorem, based on the real number property of completeness, and states:...
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January 1879 – 6 June 1943) was an Italian mathematician, known for Fubini's theorem and the Fubini–Study metric. Born in Venice, he was steered towards mathematics...
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sequences of functions. Equicontinuity appears in the formulation of Ascoli's theorem, which states that a subset of C(X), the space of continuous functions...
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convergence include the Weierstrass' M-test, Abel's uniform convergence test, Dini's test, and the Cauchy criterion. More sophisticated types of convergence...
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which deform the tractroid to the one-parameter family of surfaces known as Dini's surfaces. The method of Bäcklund transformation allows the construction...
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Fourier–Bessel series (redirect from Dini series)
Magnus, Wilhelm; Oberhettinger, Fritz; Soni, Raj Pal (1966). Formulas and Theorems for the Special Functions of Mathematical Physics. doi:10.1007/978-3-662-11761-3...
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giving early expositions of Galois theory. He also discovered Betti's theorem, a result in the theory of elasticity. Betti was born in Pistoia, Tuscany...
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Leonida Tonelli. In 1889 he generalized the Ascoli theorem to Arzelà–Ascoli theorem, an important theorem in the theory of functions. He was a member of the...
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In mathematics, the Dini–Lipschitz criterion is a sufficient condition for the Fourier series of a periodic function to converge uniformly at all real...
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