

Compact
Compact Look up compact in Wiktionary, the free dictionary. Compact may mean: Compact (newspaper), a broadsheetquality newspaper printed in a tabloid format. Compact (soap opera), a 1960s British soap ...
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Compact space
Compact space In mathematics, a subset of Euclidean space R n is called compact if it is closed and bounded. For ... the closed unit interval [0, 1] is compact, but the set of integers Z is not (it is ... approach is to call a topological space compact if each of its open covers ...
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Compact element
Compact element In the mathematical area of order theory, the compact or finite elements of a partially ordered set are those elements that cannot be subsumed by a supremum of any directed set that does not already contain members above the compact element. Note that there are other ...
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Cantor set
Cantor set The Cantor set, introduced by German mathematician Georg Cantor, is ... numbers between zero and one. The Cantor set is defined by repeatedly removing the middle ... process is continued ad infinitum. The Cantor set consists of all points in the interval ... illustrated below. What's in the Cantor set? Since the Cantor set is defined ...
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Closed set
Closed set For closed manifolds, see closed manifold. For ... and related branches of mathematics, a closed set is a set whose complement is open. Properties of closed sets A closed set contains its own boundary. In other words, if you are "outside" a closed set and you "wiggle" a little bit, ...
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Empty set
Empty set In mathematics and more specifically set theory, the empty set is the unique set which contains no elements. In axiomatic set theory it is postulated to exist ...
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Compact operator
Compact operator In functional analysis, a compact operator (or completely continuous operator) is a ... bounded subset of X is a relatively compact subset of Y. Such an operator is ... L that has finite rank is a compact operator; indeed, the class of compact operators is a natural generalisation of ...
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Compact crank (translated from German)
Compact crank Those Compact crank one is in Radsport to Rennrad used crank set (crank with chain sheets) with smaller number ... 135mm with Campagnolo). The sense of the compact cranks is that one a higher Footstep ... gradation at the rear pinion package. So compact cranks can be used also into ...
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Dictionary set (translated from Chinese)
Dictionary set In 1937 version "Dictionary set" 《Dictionary set" Is a set concurrently receives the language clause and hundred ... repeatedly afterwards significantly revises many times. "Dictionary set" at present by Shanghai dictionary publishing ...
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Open set
Open set In topology and related fields of mathematics, a set U is called open if, intuitively speaking ... 0,1]. Note that whether a given set U is open depends on the surrounding ... space, the "wiggle room". For instance, the set of rational numbers between 0 and 1 ... not the opposite of "closed" (a closed set is the complement of an open ...
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