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单词 Continuity principle
释义

Continuity principle

英语例句库

Principle of original horizontality, principle of superposition, principle of lateral continuity, principle of crosscutting relationship and unconformity.

原始地层水平律、叠置律水平连续律、切割律、不整合。

英语百科

Law of Continuity

The Law of Continuity is a heuristic principle introduced by Gottfried Leibniz based on earlier work by Nicholas of Cusa and Johannes Kepler. It is the principle that "whatever succeeds for the finite, also succeeds for the infinite". Kepler used it to calculate the area of the circle by representing the latter as an infinite-sided polygon with infinitesimal sides, and adding the areas of infinitely-many triangles with infinitesimal bases. Leibniz used the principle to extend concepts such as arithmetic operations, from ordinary numbers to infinitesimals, laying the groundwork for infinitesimal calculus. A mathematical implementation of the law of continuity is provided by the transfer principle in the context of the hyperreal numbers.

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