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.

QUIZZES

QUIZ YOURSELF ON PARENTHESES AND BRACKETS APLENTY!

Set some time apart to test your bracket symbol knowledge, and see if you can keep your parentheses, squares, curlies, and angles all straight!

Question 1 of 7

Let’s start with some etymology: What are the origins of the typographical word “bracket”?

First appeared around 1750, and is related to the French word “braguette” for the name of codpiece armor.

First appeared in 1610, based on the French word “baguette” for the long loaf of bread.

First appeared in 1555, and is related to the French word “raquette” for a netted bat.

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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

Example sentences from the Web for Heine-Borel theorem

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

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