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单词 principal value
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principal 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.
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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.
extracted from principaladj.n.adv.
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