| 词汇 | connected-sum |
| 释义 | BETA connected sumcollocation in Englishmeanings of connectedand sumThese words are often used together. Click on the links below to explore the meanings. connected adjective uk /kəˈnek.tɪd/ us /kəˈnek.tɪd/ (of wires, pipes, devices, etc.) ... See more at connected sum noun uk /sʌm/ us /sʌm/ an amount ... See more at sum Examples of connected sumconnected sum A proof-structure is seen as a connectedsum of tori with boundaries, the boundaries representing conclusions. In particular, = 0 corresponds to the tree sum and = 1 to the connectedsum. The connectedsum at two or three of the three points where these horospheres are tangent produces an embedded genus-0, or genus-1, surface. Indeed, one can consider their connectedsum at the three points where they are tangent and produce an embedded genus-1 surface with three ends. The dependence ('interaction', 'entanglement') between occurrences of formulas in a sequent, which it is quite natural to understand as a connectedsum. Tensor and cotensor still correspond to disjoint union and connectedsum. Note that if or is not connected, their connectedsum is not unique; it depends on the choice of connected components, which are linked by the cylinder. Every nonempty, compact, connected 2-manifold (or surface) is homeomorphic to the sphere, a connectedsum of tori, or a connectedsum of projective planes. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Thus, such a sphere either does not separate the 3-manifold or gives a nontrivial connectedsum decomposition. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The resulting connectedsum is the square knot. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. It can be obtained by attaching three handles to a sphere or by gluing (taking the connectedsum) of three tori. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The third is the only example of a non-trivial connectedsum with a geometric structure. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. To produce a well-defined symplectic structure, the connectedsum must be performed with special attention paid to the choices of various identifications. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. This is the simplest case of the connectedsum of "n" tori. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. It is closely related to the square knot, which can also be described as a connectedsum of two trefoils. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors. |
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