a) That converges or focuses
b) A sequence in a metric space with metric d is convergent to a point , denoted as , if for every there is a natural number N such that for every : .
2. noun
the rational number obtained when a continued fraction has been terminated after a finite number of terms
See Also: convergence

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  • convergent — convergent, ente [ kɔ̃vɛrʒɑ̃, ɑ̃t ] adj. • 1611; lat. convergens → converger 1 ♦ Qui converge. Lignes convergentes. Des routes convergentes en un point. Regards convergents sur un même objet. Lentille convergente, qui fait converger les rayons… …   Encyclopédie Universelle

  • convergent — CONVERGÉNT, Ă, convergenţi, te, adj. Care converge. ♢ Lentilă convergentă = lentilă convexă care adună într un singur focar razele care o străbat. ♦ (mat.; despre un şir infinit de numere) care tinde către un anumit număr finit, numit limită. –… …   Dicționar Român

  • Convergent — Con*ver gent, a. [Cf. F. convergent.] tending to one point of focus; tending to approach each other; converging. [1913 Webster] As many rays of light, as conveniently can be let in, and made convergent. Boyle. [1913 Webster] The vast dome of its… …   The Collaborative International Dictionary of English

  • convergent — convergent, ente (kon vèr jan, jan t ) adj. 1°   Terme de géométrie. Qui converge. Des lignes convergentes.    Hyperbole convergente, courbe du 3e degré dont les branches ont une asymptote commune.    Terme d algèbre. Séries convergentes, séries… …   Dictionnaire de la Langue Française d'Émile Littré

  • Convergent — Convergent, lat., Linien, die sich einander nähern; in der Arithmetik Zahlenreihen, deren Glieder immer kleiner werden, so daß sich die Summe derselben immer mehr einer andern bestimmten nähert, je kleiner die Theile werden. Convergiren,… …   Herders Conversations-Lexikon

  • convergent — index adjacent, concurrent (at the same time), contiguous Burton s Legal Thesaurus. William C. Burton. 2006 …   Law dictionary

  • convergent — CONVERGENT, ENTE. adj. C est l opposé de Divergent. En Géométrie, on donne ce nom à des lignes qui vont en s approchant l une de l autre. Lignes convergentes. [b]f♛/b] En Dioptrique, on appelle Convergens, Les rayons de lumière qui vont en s… …   Dictionnaire de l'Académie Française 1798

  • convergent — converge con‧verge [kənˈvɜːdʒ ǁ ˈvɜːrdʒ] verb [intransitive] 1. if two or more rates of interest, unemployment etc converge, they move to the same level: converge with • Irish productivity per worker has converged with the EU norms. 2. ECONOMICS… …   Financial and business terms

  • convergent — adjective Date: circa 1751 1. tending to move toward one point or to approach each other ; converging < convergent lines > 2. exhibiting convergence in form, function, or development < convergent evolution > 3 …   New Collegiate Dictionary

  • Convergent — Cette page d’homonymie répertorie les différents sujets et articles partageant un même nom. Sur les autres projets Wikimedia : « Convergent », sur le Wiktionnaire (dictionnaire universel) en astronautique, convergent en… …   Wikipédia en Français

  • convergent — nonparallel onparallel adj. 1. not parallel; of lines or linear objects. Opposite of {parallel}. [Narrower terms: {bias, catacorner, cata cornered, catercorner, cater cornered, catty corner, catty cornered, diagonal, kitty corner, kitty cornered …   The Collaborative International Dictionary of English

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