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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.
Also called Borel-Lebesque theorem.
Origin:
named after Eduard Heine (1821–81), German mathematician and Émile Borel (1871–1956), French mathematician
named after Eduard Heine (1821–81), German mathematician and Émile Borel (1871–1956), French mathematician
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Based on the Random House Dictionary, © Random House, Inc. 2012.
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Based on the Random House Dictionary, © Random House, Inc. 2012.
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Link To Heine-Borel theorem
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Heine-borel theorem
is always a great word to know.
So is finite. Does it mean:
| a positive integer that is not divisible without remainder by any integer except itself and 1, with 1 often excluded |
| a set of elements capable of being completely counted and not zero |
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