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单词 self-similar
释义

self-similaradj.

Brit. /ˌsɛlfˈsɪm(ᵻ)lə/, U.S. /ˌsɛlfˈsɪm(ə)lər/
Origin: Formed within English, by derivation. Etymons: self- prefix, similar adj.
Etymology: < self- prefix + similar adj.
1. Having no variety or diversity within itself; uniform; consistent. Now somewhat rare.
ΘΚΠ
the world > relative properties > relationship > uniformity > [adjective]
oneOE
consimilec1400
suinga1425
even?c1425
agreeable1512
uniform1540
consemblable?1541
suant1547
constantc1550
just?1556
similar1563
similary1564
unvaried1570
uniformal1574
consimilar1577
homogeneana1601
homogeneal1603
homogene1607
invariable1607
of a piece1607
undistinguisheda1616
univocal1615
immutable1621
uniformable1632
solemn1639
homogeneous1646
consistent1651
pariformal1651
self-consistent1651
congeniousa1656
level1655
undiversificated1659
equal1663
of one make1674
invarieda1676
congenerous1683
undiversified1684
equable1693
solid1699
consisting1700
tranquil1794
unbranching1826
horizontal1842
sole1845
self-similar1847
homoeomeric1865
equiformal1883
monochrome1970
1847 J. J. G. Wilkinson tr. E. Swedenborg Outl. Philos. Argument Infinite i. 73 The above primitives were most self-similar [L. simillima], because most perfect or most perfectly similar.
1867 R. W. Emerson May-day & Other Pieces 49 Stumbling on through vast self-similar woods.
1957 Rev. Metaphysics 11 323 As ultimate content, God is absolutely existent (urseiend), self-similar, self-positing, and creative Will.
2009 E. B. Johnson Sensible Prose & Sense of Meter (Ph.D. thesis, Univ. of Calif. Berkeley) ii. 62 God exists stably in an always self-similar essential state of pure being.
2.
a. Mathematics. Of a solution to a partial differential equation: that is the same at different points, subject to a certain transformation (such as a change of scale).Self-similar solutions are typically used as a means of reducing a partial differential equation to an ordinary differential equation which is easier to solve.
ΚΠ
1956 A. A. Townsend Struct. Turbulent Shear Flow v. 101 The rate of strain in shear flow is self-similar everywhere.
1978 Amer. Scientist 66 713/1 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.
2004 A. D. Polyanin & V. F. Zaitsev Handbk. Nonlinear Partial Differential Equations Suppl. iii. 696 Travelling-wave solutions are closely related to self-similar solutions.
b. Of a curve or set of points: resembling itself closely (or exactly) at different scales of magnification, as in a fractal. Also: of or relating to this.
ΚΠ
1967 B. B. Mandelbrot in Science 5 May 636 Many [geographical curves] are statistically ‘self-similar’, meaning that each portion can be considered a reduced-scale image of the whole.
1978 Sci. 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.
1989 I. Stewart Does God play Dice? xi. 229 It [sc. the universe] appears to be a ‘multi fractal’, having detailed but not self-similar structure on many scales.
2007 L. A. Smith Chaos: Very Short Introd. v. 76 If this similarity is exact—if the zoom is equivalent to the original set—then the set is called strictly self-similar.
This entry has been updated (OED Third Edition, January 2018; most recently modified version published online March 2022).
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adj.1847
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