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单词 supercurve
释义

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supercurve
(e) Geometry. In geometry of more than three dimensions, designating a locus or figure having one more dimension than that denoted by the simple word, as supercurve, supersurface. Cf. supercube n., supersolid n. 2.The more usual prefix in this sense is hyper- (hyper- prefix 1c(b)).
ΚΠ
1873 A. Cayley in Q. Jrnl. Pure & Appl. Math. 12 176 In 5 dimensional geometry we have: space, surface, subsurface, supercurve, curve, and point-system, according as we have between the six coordinates 0, 1, 2, 3, 4, or 5 equations: and so when the equations are linear, we have: space, plane, subplane, superline, line, and point.
2007 A. Rogers Supermanifolds vi. 80 There exists a unique super curve based at a given point integral to a given odd vector field.
2009 X. Lai et al. in W. Yu et al. Proc. 6th Internat. Symp. Neural Networks I. 637 The surface of the MSE is a multidimensional super-surface.
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