英语词汇“topological space”的英英意思、用法、释义、翻译、读音、例句、短语、词组-英语词典

WORD FAMILY

topological space

USAGE EXAMPLES

Britannica defines the Klein bottle thus:Topological space, named for the German mathematician Felix Klein.

The Guardian(Jul 19, 2012)

n (mathematics) any set of points that satisfy a set of postulates of some kind

assume that the topological space is finite dimensional

Syn|Hypo|Hyper

mathematical space

subspace

a space that is contained within another space

null space

a space that contains no points; and empty space

manifold

a set of points such as those of a closed surface or an analogue in three or more dimensions

metric space

a set of points such that for every pair of points there is a nonnegative real number called their distance that is symmetric and satisfies the triangle inequality

Euclidean space

a space in which Euclid's axioms and definitions apply; a metric space that is linear and finite-dimensional

Hilbert space

a metric space that is linear and complete and (usually) infinite-dimensional

infinite, space

the unlimited expanse in which everything is located

set

(mathematics) an abstract collection of numbers or symbols

单词	topological space
释义	topological space (extremely rare) n WORD FAMILY topological space USAGE EXAMPLES Britannica defines the Klein bottle thus:Topological space, named for the German mathematician Felix Klein. The Guardian(Jul 19, 2012) n (mathematics) any set of points that satisfy a set of postulates of some kind assume that the topological space is finite dimensional Syn\|Hypo\|Hyper mathematical space subspace a space that is contained within another space null space a space that contains no points; and empty space manifold a set of points such as those of a closed surface or an analogue in three or more dimensions metric space a set of points such that for every pair of points there is a nonnegative real number called their distance that is symmetric and satisfies the triangle inequality Euclidean space a space in which Euclid's axioms and definitions apply; a metric space that is linear and finite-dimensional Hilbert space a metric space that is linear and complete and (usually) infinite-dimensional infinite, space the unlimited expanse in which everything is located set (mathematics) an abstract collection of numbers or symbols
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