| 释义 |
self-ˈsimilar, a.
[self- 3 a.]
Similar to itself; having no variety within itself, uniform; spec. in Math. similar to itself at a different time, or to a copy of itself on a different scale.
1867R. W. Emerson May-Day 48 Stumbling on through vast self-similar woods. 1956A. A. Townsend Struct. Turbulent Shear Flow v. 101 The rate of strain in shear flow is self-similar everywhere. 1967Science 5 May 636 Many [geographical curves] are statistically ‘self-similar’, meaning that each portion can be considered a reduced-scale image of the whole. 1978Sci. Amer. Apr. 22/3 A coastline, for example, may be self-similar when viewed from a height of several miles down to several feet, but below that the fractal property is lost. 1978Amer. Scientist LXVI. 713/1 The flow tends toward a self-similar solution, i.e. a flow in which the profiles of the physical quantities behind the shock wave remain constant in time.
Hence self-simiˈlarity.
1967Science 5 May 636/1 Seacoast shapes are examples of highly involved curves such that each of their portion can—in a statistical sense—be considered as a reduced scale image of the whole. This property will be referred to as ‘statistical self-similarity’. 1978Sci. Amer. Apr. 22/2 Unlike these striking artificial curves the fractals that occur in nature—coastlines, rivers, trees, star clustering, clouds and so on—are so irregular that their self-similarity (scaling) must be treated statistically. |