| 单词 | reciprocity theorem |
| 释义 | > as lemmasreciprocity theorem reciprocity theorem n. Physics and Mathematics any of various theorems stating the reciprocal nature of two phenomena or situations (cf. Onsager's law at Onsager n. 2a); spec. (a) a theorem stating that a voltage acting in a given branch of a circuit will produce the same current in some other branch as the same voltage in the other branch would produce in the given branch; (b) Nuclear Physics the statement that time-reversal leaves the transition rate for a nuclear reaction unchanged. ΘΚΠ the world > matter > physics > atomic nucleus > nuclear fission > [noun] > theory of reciprocity theorem1878 the world > matter > physics > mechanics > dynamics > thermodynamics > [noun] > specific theorems or principles reciprocity theorem1878 Nernst heat theorem1912 Onsager's principle1945 the world > matter > physics > electromagnetic radiation > electricity > voltage > [noun] > theorem concerning reciprocity theorem1878 1878 Amer. Jrnl. Math. 1 98 The true nature of the reciprocity theorem, in the general case where i, j have any values whatever, is now obvious. 1938 G. P. Harnwell Princ. Electr. & Electromagn. xiii. 451 The reciprocity theorem is a consequence of the symmetry of the determinant. 1952 J. M. Blatt & V. E. Weisskopf Theoret. Nucl. Physics x. 529 We obtain the reciprocity theorem... This theorem states that the probability for a transition proceeding one way in time is equal to the probability for the same transition but with the sense of time reversed. 1968 Times 31 Oct. 5/4 The Onsager principle or ‘reciprocity theorem’..asserts that where two or more kinds of flow affect each other the equations describing them will be reciprocally related in a specific way. 1970 I. E. McCarthy Nuclear Reactions ii. 31 The reciprocity theorem or time-reversal invariance is an essential property of nuclear systems. 1972 M. Kline Math. Thought xxxiv. 815 Gauss says that he sought many proofs because he wished to find one that could be used to establish the biquadratic reciprocity theorem. 2007 Superconductor Sci. & Technol. 20 69/1 The violation of the reciprocity theorem has been recently confirmed. < as lemmas |
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