Explore: Convergence (mathématiques)

is a method of testing for the convergence of a series that is especially useful for proving conditional convergence. It is named after its author Peter

mathematics, Gromov–Hausdorff convergence, named after Mikhail Gromov and Felix Hausdorff, is a notion for convergence of metric spaces which is a generalization

which they fail to describe the convergence properties of Σan. In fact, no convergence test can fully describe the convergence properties of the series. This

) {\displaystyle L_{b}(X;Y)} is endowed with the topology of uniform convergence on bounded subsets of X . {\displaystyle X.} If X {\displaystyle X} is

power series does not converge near a, while if the lim sup is 0 then the radius of convergence is ∞, meaning that the series converges on the entire plane

physique mathematique (Volume 4) (Paris: Bachelier, 1840–1847) Analyse algèbrique (Imprimerie Royale, 1821) Nouveaux exercices de mathématiques (Paris :

indicate, weak convergence is weaker than strong convergence. In fact, strong convergence implies convergence in probability, and convergence in probability

contributions include pointwise convergence of averages along cubes, being “the first complete pointwise convergence result obtained in the theory of

functions on I , {\displaystyle I,} and convergence in the product topology is the same as pointwise convergence of functions. If the real line R {\displaystyle

In mathematics, a convergence group or a discrete convergence group is a group Γ {\displaystyle \Gamma } acting by homeomorphisms on a compact metrizable