Word Pronunciation & Dictionary

heine-borel theorem

Word Rarity Very rare

Frequency: Zipf frequency 2.11 in modern English

Syllables
heine--borel the-o-rem
IPA
27
Scrabble Score
17
Letters
5
Syllables
10
Unique Chars

Meaning

name

A theorem which states that for any subset S of an n-dimensional Euclidean space, S is compact if and only if it is both closed and bounded.

Etymology

Named after the German mathematician Eduard Heine (1821–1881) and the French mathematician Émile Borel (1871–1956).

Questions

What does heine-borel theorem mean?
A theorem which states that for any subset S of an n-dimensional Euclidean space, S is compact if and only if it is both closed and bounded.
Where does heine-borel theorem come from?
Named after the German mathematician Eduard Heine (1821–1881) and the French mathematician Émile Borel (1871–1956).

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