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单词 Klein bottle
释义

Definition of Klein bottle in English:

Klein bottle

noun klʌɪn
Mathematics
  • A closed surface with only one side, formed by passing one end of a tube through the side of the tube and joining it to the other end.

    Example sentencesExamples
    • Gluing the top of the Möbius band to the bottom would give you a compact Klein bottle, a complicated shape that is impossible to draw properly in three dimensions.
    • I've never summoned up enough nerve to ask Martin if he chose the house for its address or for its topology, which I suspect on close examination would prove similar to a Klein bottle.
    • The Klein bottle is a very precise mathematical construct.

Origin

1940s: named after Felix Klein (1849–1925), the German mathematician who first described it.

 
 

Definition of Klein bottle in US English:

Klein bottle

noun
Mathematics
  • A closed surface with only one side, formed by passing one end of a tube through the side of the tube and joining it to the other end.

    Example sentencesExamples
    • Gluing the top of the Möbius band to the bottom would give you a compact Klein bottle, a complicated shape that is impossible to draw properly in three dimensions.
    • The Klein bottle is a very precise mathematical construct.
    • I've never summoned up enough nerve to ask Martin if he chose the house for its address or for its topology, which I suspect on close examination would prove similar to a Klein bottle.

Origin

1940s: named after Felix Klein (1849–1925), the German mathematician who first described it.

 
 
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更新时间:2024/12/23 1:47:38