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单词 doctrine of limits
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doctrine (also method) of limits
doctrine (also method) of limits n. Mathematics now historical calculus as based on the concept of a limit (sense 6a); analysis; cf. the method of fluxions at fluxion n. 5b.
ΚΠ
1668 Philos. Trans. (Royal Soc.) 3 738 The Doctrine of Limits: Wherein..the Author shows a deep Judgement in discovering a Medium to reduce the lately found out Analytical Doctrine de Maximis & Minimis to pure Geometry.
1736 J. Colson in tr. I. Newton Method of Fluxions Annot. 187 This may always be had, either by the known Method of Limits, or by a Linear or Mechanical Construction, or by a few easy trials and suppositions.
1800 Philos. Mag. 7 343 The Method of Limits is attended with a considerable difficulty, which has no place in the ordinary Infinitesimal Calculus.
1939 C. B. Boyer Concepts of Calculus vi. 259 The method of limits he recognized to be not different from that of first and last ratios.
2008 J. C. Domingues Lacroix & Calculus v. 144 The method of limits was naturally related to the Greek method of exhaustion.
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