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 :

has historical importance in the introduction of sieve methods. The convergence of the sum of reciprocals of twin primes follows from bounds on the density

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

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

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