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...

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...

(Pisa, T. Nistri, 1878) Dini continuity Dini criterion Dini derivative Dini series Dini test Dini's theorem Dini's surface Dini–Lipschitz criterion See...

Ulisse Dini, Italian mathematician, after which are named: Dini derivative Dini test Dini's theorem Dini criterion Dini's surface Dini continuity Dini–Lipschitz...

algebra) Dini's theorem (analysis) Dirac's theorems (graph theory) Dirichlet's approximation theorem (Diophantine approximations) Dirichlet's theorem on arithmetic...

Dini's theorem Arzelà–Ascoli theorem Sørensen, Henrik Kragh (2005). "Exceptions and counterexamples: Understanding Abel's comment on Cauchy's Theorem"...

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...

_{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...

Moving 1-soliton: Dini's surface Breather solution: Breather surface 2-soliton: Kuen surface Hilbert's theorem (differential geometry) Dini's surface Gabriel's...

. Dini test — a condition similar to local Dini continuity implies convergence of a Fourier transform. Stenflo, Örjan (2001). "A note on a theorem of...

Dini. In 1918, Carathéodory gave a different proof based on the Lebesgue integral. In mathematical analysis, Schwarz's theorem (or Clairaut's theorem...

the Dini derivatives are well-defined for almost all functions, even for functions that are not conventionally differentiable. The upshot of Dini's analysis...

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...

Cauchy's integral theorem. Therefore, the Fourier inversion formula can use integration along different lines, parallel to the real axis. Theorem: If f(t) =...

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...

hyperbolic surfaces is the Kleinian model. Dini's surface Hyperbolic 3-manifold Ideal polyhedron Mostow rigidity theorem Murakami–Yano formula Pseudosphere Grigor'yan...

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...

Lipschitz continuity is the central condition of the Picard–Lindelöf theorem which guarantees the existence and uniqueness of the solution to an initial...

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;...

resolution to Loschmidt's paradox is called the (steady state) fluctuation theorem (FT), which is a generalisation of the second law of thermodynamics. The...

operator Fourier inversion theorem Sine and cosine transforms Parseval's theorem Paley–Wiener theorem Projection-slice theorem Frequency spectrum Discrete...

{\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:...

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...

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...

convergence include the Weierstrass' M-test, Abel's uniform convergence test, Dini's test, and the Cauchy criterion. More sophisticated types of convergence...

which deform the tractroid to the one-parameter family of surfaces known as Dini's surfaces. The method of Bäcklund transformation allows the construction...

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...

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...

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...

In mathematics, the Dini–Lipschitz criterion is a sufficient condition for the Fourier series of a periodic function to converge uniformly at all real...