| 释义 |
conˈformal, a.
[ad. L. conformāl-is conformable, f. con- together + forma form, formālis formal.]
1. = conformable.
1647W. Browne tr. Polexander ii. 194 Intending not to crosse a thought so conformall with their owne. 1933A. N. Whitehead Adv. 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. Math. [ad. G. 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 a. 2.
1893A. R. Forsyth Theory Functions of Complex Variable xix. 491 Conformal representation..is essential to the constitution of a geographical map, made as perfect as possible. Ibid. 493 The conformal similarity of the two surfaces. 1900[see orthomorphic a. 2]. 1910J. 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. 1938E. 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. 1957Encycl. 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. 1960W. 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.
Hence conˈformally adv.
1893Proc. London Math. Soc. XXIV. 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. 1898T. F. Holgate tr. Reye's 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. 1933A. N. Whitehead Adv. of Ideas xi. 188 A doctrine of continuity expressed by the identity of subjective form inherited conformally from one occasion to the other. 1958Engineering 21 Mar. 376/1 Flow surfaces of revolution defined by meridional streamlines are transformed conformally into planes. |