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单词 Principle of continuity
释义

Principle of continuity

原声例句
Life Noggin

This is Gestalt's principle of continuity in action.

这就是格式塔的行动连续性原则。

心的分析(上)

It is therefore important to consider the relative justification of the two ways of applying the principle of continuity.

因此,重要的是要考虑应用连续性原则的两种方式的相对正当性。

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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更新时间:2025/6/18 13:06:46