单词 | conformal |
释义 | conformaladj. 1. = conformable adj. and adv. ΘΚΠ the world > relative properties > order > agreement, harmony, or congruity > conformity to or with a pattern, etc. > [adjective] followingc1400 conformable1526 conform1553 pursuant1593 conformala1645 fashionable1657 persecutory1774 the world > relative properties > order > agreement, harmony, or congruity > suitability or appropriateness > [adjective] > fitly adjusted well-setc1330 conform?1550 conformable1555 concinnatea1600 conformant1643 conformala1645 concinnated1657 calibrated1909 a1645 W. Browne tr. M. Le Roy Hist. Polexander (1647) iv. ii. 194 Intending not to crosse a thought so conformall with their owne. 1933 A. N. Whitehead Adventures of Ideas xi. 185 The feeling as enjoyed by the past occasion is present in the new occasion as datum felt, with a subjective form conformal to that of the datum. 2. Mathematics. [ < German conform (Gauss 1844, in Abhandl. d. K. Ges. d. Wissensch. zu Göttingen (Mathem. Classe) II. 4).] Conserving the size of all angles in the representation of one surface on another; in Map-making, = orthomorphic adj. 2. ΘΚΠ the world > relative properties > number > geometry > surface > [adjective] > conserving angle size conformal1893 1893 A. R. Forsyth Theory Functions Complex Variable xix. 491 Conformal representation..is essential to the constitution of a geographical map, made as perfect as possible. 1893 A. R. Forsyth Theory Functions Complex Variable xix. 493 The conformal similarity of the two surfaces. 1893 Athenæum 22 Apr. 509/3 ‘On a Problem of Conformal Representation’, by Prof. W. Burnside. 1893 F. Hardcastle tr. F. Klein On Riemann's Theory 57 Hitherto, two surfaces were only held to be equivalent when one could be derived from the other by a conformal representation with a uniform correspondence of points. Now there is no longer any reason for retaining the conformal character of the representation. 1900 C. F. Close Sketch of Map Projections 10 Orthomorphic (or conform or conformable): in these the scale is the same in all directions round a point in its immediate neighbourhood. 1910 J. I. Craig Theory Map-projections i. 4 A projection which possesses the property that all small figures are represented by similar small figures on the map is called conformal or orthomorphic. 1913 J. W. Strutt Sci. Papers (1920) VI. 153 In what is called conformal representation the coordinates of one point x, y in a plane are connected with those of the corresponding point ξ, η by the relation x + iy = f(ξ + ɩη)..(1) where f denotes an arbitrary function. 1938 E. Raisz Gen. Cartogr. i. vi. 82 Conformal, or orthomorphic, projections are those on which any small area has the same shape as on the globe. 1957 Encycl. Brit. VI. 234/1 By the term conformal representation (also called isogonal, orthomorphic) is understood any continuous mapping of one surface or region upon another, with a one-to-one correspondence of their points, and in such manner that corresponding angles in the two surfaces or regions are equal. 1960 W. J. Duncan et al. Elem. Treat. Mech. Fluids ii. 100 The method of conformal transformation..is of great utility as it enables us to obtain the flow in relatively complex cases from the known results in simple cases. Derivatives conˈformally adv. ΘΚΠ the world > relative properties > number > geometry > surface > [adverb] simply connected1867 conformally1893 planimetrically1918 1893 Proc. London Math. Soc. 24 193 Every rectilinear polygon, that can be represented conformally on a circle or half-plane by means of an integral relation between two variables, is capable of being formed by the juxtaposition..of equal rectangles or equal triangles. 1898 T. F. Holgate tr. Reye Lect. Geom. Position 210 In order, then, to depict a sphere k conformally upon a plane s, choose as centre of inversion M one of the two points of k whose tangent planes are parallel to s. 1933 A. N. Whitehead Adventures of Ideas xi. 188 A doctrine of continuity expressed by the identity of subjective form inherited conformally from one occasion to the other. 1958 Engineering 21 Mar. 376/1 Flow surfaces of revolution defined by meridional streamlines are transformed conformally into planes. This entry has not yet been fully updated (first published 1891; most recently modified version published online June 2019). < adj.a1645 |
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