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absolutely divergent series

См. также в других словарях:

  • Series (mathematics) — A series is the sum of the terms of a sequence. Finite sequences and series have defined first and last terms, whereas infinite sequences and series continue indefinitely.[1] In mathematics, given an infinite sequence of numbers { an } …   Wikipedia

  • Convergent series — redirects here. For the short story collection, see Convergent Series (short story collection). In mathematics, a series is the sum of the terms of a sequence of numbers. Given a sequence , the nth partial sum Sn is the sum of the first n terms… …   Wikipedia

  • Grandi's series — The infinite series 1 − 1 + 1 − 1 + hellip;or:sum {n=0}^{infin} ( 1)^nis sometimes called Grandi s series, after Italian mathematician, philosopher, and priest Guido Grandi, who gave a memorable treatment of the series in 1703. It is a divergent… …   Wikipedia

  • Firefly (TV series) — Infobox Television show name = Firefly caption = show name 2 = genre = Drama Space Western creator = Joss Whedon director = creative director = developer = presenter = starring = see below voices = theme music composer = Joss Whedon opentheme =… …   Wikipedia

  • Ratio test — In mathematics, the ratio test is a test (or criterion ) for the convergence of a series , where each term is a real or complex number and an is nonzero when n is large. The test was first published by Jean le Rond d Alembert and is sometimes… …   Wikipedia

  • Riemann zeta function — ζ(s) in the complex plane. The color of a point s encodes the value of ζ(s): dark colors denote values close to zero and hue encodes the value s argument. The white spot at s = 1 is the pole of the zeta function; the black spots on the… …   Wikipedia

  • Cauchy product — In mathematics, the Cauchy product, named after Augustin Louis Cauchy, of two sequences , , is the discrete convolution of the two sequences, the sequence whose general term is given by In other words, it is the sequence whose associated formal… …   Wikipedia

  • Mathematical fallacy — In mathematics, certain kinds of mistakes in proof, calculation, or derivation are often exhibited, and sometimes collected, as illustrations of the concept of mathematical fallacy. The specimens of the greatest interest can be seen as… …   Wikipedia

  • Comparison test — In mathematics, the comparison test, sometimes called the direct comparison test or CQT (in contrast with the related limit comparison test) is a criterion for convergence or divergence of a series whose terms are real or complex numbers. The… …   Wikipedia

  • Lacunary function — In analysis, a lacunary function, also known as a lacunary series, is an analytic function that cannot be analytically continued anywhere outside the circle of convergence within which it is defined by a power series. The word lacunary is derived …   Wikipedia

  • 1/2 − 1/4 + 1/8 − 1/16 + · · · — In mathematics, the infinite series 1/2 − 1/4 + 1/8 − 1/16 + · · · is a simple example of an alternating series that converges absolutely.It is a geometric series whose first term is 1/2 and whose common ratio is −1/2, so its sum is:frac12… …   Wikipedia

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