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单词 Trivial knot
释义

Trivial knot

英语百科

Unknot

(重定向自Trivial knot)
Two simple diagrams of the unknot
Thistlethwaite unknot

The unknot arises in the mathematical theory of knots. Intuitively, the unknot is a closed loop of rope without a knot in it. A knot theorist would describe the unknot as an image of any embedding that can be deformed, i.e. ambient-isotoped, to the standard unknot, i.e. the embedding of the circle as a geometrically round circle. The unknot is also called the trivial knot. An unknot is the identity element with respect to the knot sum operation.

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更新时间:2025/6/22 1:45:27