| 单词 | gauss or gauss's characteristic equation |
| 释义 | > as lemmasGauss or Gauss's characteristic equation 1. Mathematics. More fully Gauss or Gauss's characteristic equation. An equation expressing the curvature of a surface in terms of certain parameters of the surface. ΘΚΠ the world > relative properties > number > algebra > [noun] > expression > equation equation1570 cardanic equation1684 binomial equation1814 simultaneous equation1816 characteristic equation1828 characteristic equation1841 characteristic equation1849 intrinsic equation of a curve1849 complete primitive1859 primitive1862 Poisson's equation1873 Jacobi equation1882 formulaic equation1884 adjoint1889 recursion formula1895 characteristic equation1899 characteristic equation1900 Pell equation1910 Lotka–Volterra equations1937 Langevin equation1943 1828 Philos. Mag. 3 334 From this is immediately derived the characteristic equation of the surfaces capable of being evolved in a plane, namely..ddz/ dx2·ddz/ dy2 − (ddz/ dx·dy)2 = 0. 1871 S. Earnshaw Partial Differential Equations x. 101 This is the characteristic equation of developable surfaces. Its terms are not linear, but from its peculiar form it can be integrated by means of the above formulae. 1912 A. R. Forsyth Lect. Differential Geom. Curves & Surfaces v. 126 When the primitive of the characteristic equation is not known, it may happen that some special integral is known. 1959 T. J. Willmore Introd. Differential Geom. 305 Prove that..G is of the form Au2 + 2Bu + C... The Gauss characteristic equation..may be assumed. 2008 S. P. Radzevich Kinematic Geom. Surface Machining ii. 45 The property of surfaces that allows for sliding over can be interpreted in terms of fundamental forms if Gauss' characteristic equation and the Codazzi-Mainardi's relationships of compatibility are satisfied. < as lemmas |
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