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.

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).

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). < adj.1847
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