convergent sequence

convergent sequence
a sequence which converges

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  • convergent sequence — Math. See fundamental sequence. * * * …   Universalium

  • convergent sequence — Math. See fundamental sequence …   Useful english dictionary

  • 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

  • Almost convergent sequence — A bounded real sequence (x n) is said to be almost convergent to L if each Banach limit assignsthe same value L to the sequence (x n).Lorentz proved that (x n) is almost convergent if and only if:limlimits {p oinfty} frac{x {n}+ldots+x {n+p… …   Wikipedia

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  • Sequence transformation — In mathematics, a sequence transformation is an operator acting on a given space of sequences. Sequence transformations include linear mappings such as convolution with another sequence, and resummation of a sequence and, more generally, are… …   Wikipedia

  • convergent — adjective Date: circa 1751 1. tending to move toward one point or to approach each other ; converging < convergent lines > 2. exhibiting convergence in form, function, or development < convergent evolution > 3 …   New Collegiate Dictionary

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  • Convergent (continued fraction) — A convergent is one of a sequence of values obtained by evaluating successive truncations of a continued fraction. The nth convergent is also known as the nth approximant of a continued fraction.[1] Contents 1 Representation of real numbers 2… …   Wikipedia

  • Sequence — For other uses, see Sequence (disambiguation). In mathematics, a sequence is an ordered list of objects (or events). Like a set, it contains members (also called elements or terms), and the number of terms (possibly infinite) is called the length …   Wikipedia

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