Borel-Lebesgue theorem

Borel-Lebesgue theorem
/baw rel"leuh beg", beuh-/, Math.
[1950-55; named after F.E.E. BOREL and H. LEBESGUE]

* * *


Universalium. 2010.

Игры ⚽ Поможем сделать НИР

Look at other dictionaries:

  • Borel-Lebesgue theorem — /baw rel leuh beg , beuh /, Math. See Heine Borel theorem. [1950 55; named after F.E.E. BOREL and H. LEBESGUE] …   Useful english dictionary

  • Cousin's theorem — In real analysis, a branch of mathematics, Cousin s theorem states that: If for every point of a closed region (in modern terms, closed and bounded ) there is a circle of finite radius (in modern term, a neighborhood ) , then the region can be… …   Wikipedia

  • Lebesgue measure — In mathematics, the Lebesgue measure, named after Henri Lebesgue, is the standard way of assigning a length, area or volume to subsets of Euclidean space. It is used throughout real analysis, in particular to define Lebesgue integration. Sets… …   Wikipedia

  • Lebesgue integration — In mathematics, the integral of a non negative function can be regarded in the simplest case as the area between the graph of that function and the x axis. Lebesgue integration is a mathematical construction that extends the integral to a larger… …   Wikipedia

  • Lebesgue-Stieltjes integration — In measure theoretic analysis and related branches of mathematics, Lebesgue Stieltjes integration generalizes Riemann Stieltjes and Lebesgue integration, preserving the many advantages of the latter in a more general measure theoretic framework.… …   Wikipedia

  • Borel-Cantelli lemma — In probability theory, the Borel Cantelli lemma is a theorem about sequences of events. In a slightly more general form, it is also a result in measure theory. It is named after Émile Borel and Francesco Paolo Cantelli.Let ( E n ) be a sequence… …   Wikipedia

  • Lebesgue, Henri-Léon — ▪ French mathematician born June 28, 1875, Beauvais, France died July 26, 1941, Paris  French mathematician whose generalization of the Riemann integral (analysis) revolutionized the field of integration.       Lebesgue was maître de conférences… …   Universalium

  • Borel, Émile — ▪ French mathematician in full  Félix Édouard Justin Émile  born January 7, 1871, Saint Affrique, France died February 3, 1956, Paris       French mathematician who created the first effective theory of the measure of sets of points and who… …   Universalium

  • Émile Borel — Infobox Person name = Félix Édouard Justin Émile Borel image size = 200px caption = Émile Borel birth date = birth date|1871|1|7|mf=y birth place = Saint Affrique, France death date = death date and age|1956|2|3|1871|1|7|mf=y death place = Paris …   Wikipedia

  • Théorème de Lebesgue — Cette page d’homonymie répertorie les différents sujets et articles partageant un même nom. En mathématiques, plusieurs théorèmes portent, au moins en partie, le nom de Henri Léon Lebesgue : Théorèmes de convergence monotone et dominée de… …   Wikipédia en Français

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”