| 释义 |
ˌantisyˈmmetrical, a. Math.
Also ˌantisyˈmmetric.
[anti-1 3 c.]
The reverse or opposite of symmetrical a. in various senses (see quots.). Hence anti-ˈsymmetry, the property of being antisymmetrical.
1913L. Silberstein Vectorial Mechanics v. 96 The decomposition of the general operator into a symmetrical and a non-symmetrical part (the last being the so-called antisymmetrical part) can be effected in but one way. 1923J. Rice Relativity vi. 126 If its components satisfy the relations Pλµ = -Pµλ it [sc. the tensor] is called ‘anti-symmetric’. Ibid. 127 So the anti-symmetry is preserved after transformation. 1926P. A. M. Dirac in Proc. R. Soc. A. CXII. 669 If there is interaction between the electrons, there will still be symmetrical and antisymmetrical eigen-functions... An antisymmetrical eigenfunction vanishes identically when two of the electrons are in the same orbit. 1939Mind XLVIII. 113 The law of Fermi-Dirac for anti⁓symmetric wave-functions. 1948E. A. Milne Vectorial Mechanics iii. 40 A tensor T is said to be anti-symmetrical if its components in any triad satisfy the relation Tβα = -Tαβ. 1950E. Schrödinger Space-Time Structure ii. 16 Envisage a covariant antisymmetric tensor of the fourth rank Tklmn. By antisymmetric we mean that an exchange of any two subscripts should just merely produce a change of sign of the component. 1964E. Bach Introd. Transformational Gram. vii. 156 Where R(x, y) and R(y, x) always imply identity of x and y the relation is called antisymmetric. |