Infinite-series Sentence Examples

infinite-series
  • The process is conceived as an infinite series of variations or specifications of one primitive and common type.

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  • His development of the equation x m +- px = q in an infinite series was extended by Leonhard Euler, and particularly by Joseph Louis Lagrange.

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  • A continued product of this kind can, by taking logarithms, be replaced by an infinite series.

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  • The introduction of infinite series into mathematics effected a great change in the modes of calculation and the treatment of the subject.

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  • Besides all this, however, and far beyond it in importance, was his use of infinite series.

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  • In this case the variation will be simply periodic, The value of any element of the planet's motion will generally be represented by the sum of an infinite series of such periodic quantities, having different periods.

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  • The expressions for the longitude, latitude `and parallax appear as an infinite trigonometric series, in which the coefficients of the sines and cosines are themselves infinite series proceeding according to the powers of the above small numbers.

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  • This paper offers a glimpse of how Euler used infinitesimals and infinite series to compute differentials for the elementary functions.

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