| 单词 | principal value |
| 释义 | > as lemmasprincipal value principal value n. [after French valeur principale ( A.-L. Cauchy Résumé des leçons données à l'Ecole Royale Polytechnique sur le calcul infinitésimal (1823) 96, with reference to integrals)] Mathematics a unique value, chosen by convention as the simplest or most important value, of a many-valued function such as an indefinite integral or an inverse sine. ΚΠ 1857 Philos. Trans. (Royal Soc.) 147 779 The value of the integral obtained will be that which Cauchy terms its principal value. 1879 Amer. Jrnl. Math. 2 137 The principal value which h may assume is 1. 1961 C. C. T. Baker Dict. Math. 246 In the case of sin−1x, the principal value is the angle between −½π and + ½π. 1989 Q. Jrnl. Mech. & Appl. Math. 42 186 The bar through the integral sign denotes the Cauchy principal value of the integral. < as lemmas |
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