| Information | |
|---|---|
| has gloss | (noun) something jumbled or confused; "a tangle of government regulations" snarl, tangle, maze |
| has gloss | eng: In mathematics, an tangle can mean one of two related concepts: * In John Conways definition, a n-tangle is a proper embedding of the disjoint union of n arcs into a 3-ball; the embedding must send the endpoints of the arcs to 2n marked points on the balls boundary. * In link theory, a tangle is an embedding of n arcs and m circles into \mathbfR}^2 \times [0,1] – the difference from the previous definition is that it includes circles as well as arches, and partitions the boundary into two (isomorphic) pieces, which is algebraically more convenient – it allows one to add tangles by stacking them, for instance. The balance of this article discusses Conway's sense of tangles; for the link theory sense, see that article. |
| lexicalization | eng: maze |
| lexicalization | eng: snarl |
| lexicalization | eng: tangle |
| subclass of | (noun) trouble or confusion resulting from complexity perplexity |
| Meaning | |
|---|---|
| Czech | |
| lexicalization | ces: změť |
| German | |
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| lexicalization | deu: Gewirr |
| Modern Greek (1453-) | |
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| lexicalization | ell: μπέρδεμα |
| Hindi | |
| lexicalization | hin: ulaJana |
| Hungarian | |
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| lexicalization | hun: bonyodalom |
| Icelandic | |
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| lexicalization | isl: flóki |
| Italian | |
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| lexicalization | ita: groppo |
| lexicalization | ita: arruffamento |
| Japanese | |
| has gloss | jpn: 数学の分野において、タングル (tangle) は結び目の一部分を切り取って得られるような幾何的対象のことである。通常次の二種類のいずれかを指す。 * ある 2次元球面で切り取って得られるもの。以下のタングル(1)。 * 平行な二つの平面で切り取って得られるもの。以下のタングル(2)。 これらは共に「境界付き 3次元多様体に埋め込まれた、 1次元の(境界付き)多様体」とみなせるが、これら二種類のタングル(もしくはその一般化)が統一的に扱われることはないようである。 |
| lexicalization | jpn: タングル |
| Lithuanian | |
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| lexicalization | lit: raizginys |
| Dutch | |
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| lexicalization | nld: warnet |
| lexicalization | nld: warboel |
| lexicalization | nld: wirwar |
| Occitan (post 1500) | |
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| lexicalization | oci: embolh |
| Polish | |
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| lexicalization | pol: zamęt |
| Swedish | |
| lexicalization | swe: virrvarr |
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| lexicalization | swe: trassel |
| Thai | |
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| lexicalization | tha: ความพัวพัน |
| lexicalization | tha: เรื่องยุ่งเหยิง |
| Turkish | |
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| lexicalization | tur: dolaþýk þey |
| Classical Armenian | |
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| lexicalization | xcl: հանգոյց |
| Links | |
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| similar | e/Tangle (mathematics) |
| Media | |
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| media:img | Tangle Operations.svg |
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