| 释义 |
variˈational, a.
[f. prec. + -al1.]
Marked or characterized by, dealing with or concerning, variation, in various senses; spec. with reference to variation 13 b.
1879Thomson & Tait Nat. Phil. I. i. §327 Which..is the general variational equation of motion of a conservative system. 1888Encycl. Brit. XXIV. 77/1 This succession of variational theories. 1897Acta Math. XXI. 99 His substitution of the Variational Curve for the ellipse as the intermediate orbit is..of primary importance in the Lunar Theory. 1907Sat. Rev. 5 Oct. 422/1 Man..is more variational than woman. 1937E. C. Kemble Fund. Princ. Quantum Mech. iv. 130 Let J denote the integral J[y, λ]... Let δy denote the first variation in y(x)... Let it be required to find a function y(x) and a corresponding value for the parameter λ which satisfy the variational equation δJ = 0. 1957L. Fox Numerical Solution Two-Point Boundary Probl. viii. 259 With a single second-order equation we were able to fix both y0 and y1, so that yn was a function only of λ, and by solving a variational equation for ∂y/∂λ we were able to alter λ systematically until a solution was obtained. 1962C. S. Ogilvy Tomorrow's Math ix. 125 Questions asking what shape, what path, or what form will yield a minimal or optimal result are known as variational problems. 1971Physics Bull. Jan. 17/1 We introduce a trial wave-function ψ containing as many variational parameters as we feel to be necessary or sufficient, and then choose the values of these parameters in such a way that the Rayleigh ratio..shall be stationary.
Add: Hence variˈationally adv.
1961in Webster. 1968C. G. Kuper Introd. Theory Superconductivity vii. 121 The parameter K is still unspecified; it will be determined variationally at a later stage. 1972Jrnl. Differential Geometry July 149 The action of K on M is variationally complete if it produces enough Jacobi fields along geodesics to determine the multiplicities of focal points to the K-orbits. |