Heine-Borel theorem

[ hahy-nuh-baw-rel, -buh- ]

/ ˈhaɪ nə bɔˈrɛl, -bə- /

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noun Mathematics.

the theorem that in a metric space every covering consisting of open sets that covers a closed and compact set has a finite collection of subsets that covers the given set.

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Also called Borel-Lebesque theorem.

Origin of Heine-Borel theorem

Named after Eduard Heine (1821–81), German mathematician and Émile Borel (1871–1956), French mathematician

Words nearby Heine-Borel theorem

Heimlich, Heimlich maneuver, Heimlich manoeuvre, Heimskringla, Heine, Heine-Borel theorem, Heine-Medin disease, heinie, Heinkel, Heinlein, heinous

How to use Heine-Borel theorem in a sentence

Infinite Monkey Theorem has also landed praise in national publications including Wine Spectator as recently as last year.
Taste Off: Super Bowl State Wines From Colorado and Washington|Jordan Salcito|February 1, 2014|DAILY BEAST
A few years ago, I attended a party hosted by The Infinite Monkey Theorem.
Taste Off: Super Bowl State Wines From Colorado and Washington|Jordan Salcito|February 1, 2014|DAILY BEAST
The 43-year-old Borel is one of the few jockeys that people who do not follow horseracing have heard of.
How the Derby Was Won|Charles Leerhsen|May 2, 2010|DAILY BEAST
Charles Leerhsen on how ace jockey Calvin Borel did it again.
How the Derby Was Won|Charles Leerhsen|May 2, 2010|DAILY BEAST

The Pike Club was in a back courtyard a few hundred feet into West Berlin from the checkpoint at Heinrich-Heine-Strasse.
Did Punk Rock Tear Down the Wall?|Tim Mohr|November 8, 2009|DAILY BEAST
Liszt, bolder than Heine, makes the attempt to portray them, and writes like an inspired poet.
Frederick Chopin as a Man and Musician|Frederick Niecks
Sainte-Beuve and Balzac were two of the earliest of her literary friends, among whom she numbered also Heine.
Frederick Chopin as a Man and Musician|Frederick Niecks
The most complete literary portrayal of George Sand that has been handed down to us, however, is by Heine.
Frederick Chopin as a Man and Musician|Frederick Niecks
This, however, is not a question of the method of the social science, but a theorem of the science itself.
A System of Logic: Ratiocinative and Inductive|John Stuart Mill
This was M. Comte's opinion; but it is by no means implied in his fundamental theorem.
A System of Logic: Ratiocinative and Inductive|John Stuart Mill