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.

单词	Law of Continuity
释义	Law of Continuity 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.
随便看	mechanical dredge的意思 mechanical drier的意思 mechanical drift的意思 mechanical drilling的意思 mechanical drive的意思 mechanical drive mixer的意思 mechanical drive rig的意思 mechanical drive supercharger的意思 mechanical drive system的意思 mechanical drive turbine的意思 mechanical driving device的意思 mechanical dropsy的意思 mechanical dryer的意思 mechanical drying machine的意思 mechanical durability的意思 mechanical dust collector的意思 mechanical duster的意思 mechanical dust extractor的意思 mechanical dusting的意思 mechanical dust removal的意思 mechanical dust separator的意思 mechanical dynamics的意思 mechanicaldynamometer的意思 mechanical dynamometer的意思 mechanical dysfunction of prosthetic valve的意思