单词 | antisymmetrical |
释义 | ˌantisyˈmmetricaladj. Math. The reverse or opposite of symmetrical adj. in various senses (see quots.). ΘΚΠ the world > relative properties > number > geometry > [adjective] > of geometrical relation reciprocal1570 regular1570 projectivea1652 semi-conjugate axis1743 homographic1859 symmetric1860 confocal1867 correlative1881 involutorial1885 conjugate1902 antisymmetrical1913 homoeomorphic1918 homotopic1918 isometric1952 1913 L. Silberstein Vectorial Mech. 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. 1923 J. Rice Relativity vi. 126 If its components satisfy the relations Pλμ = −Pμλ it [sc. the tensor] is called ‘anti-symmetric’. 1926 P. A. M. Dirac in Proc. Royal Soc. A. 112 669 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. 1939 Mind 48 113 The law of Fermi-Dirac for anti~symmetric wave-functions. 1948 E. 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. 1950 E. Schrödinger Space-time Struct. 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. 1964 E. 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. Derivatives anti-ˈsymmetry n. the property of being antisymmetrical. ΚΠ 1923 J. Rice Relativity vi. 127 So the anti-symmetry is preserved after transformation. This entry has not yet been fully updated (first published 1972; most recently modified version published online June 2011). < |
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