What does nonconvergent mean?

Definitions for nonconvergent
non·con·ver·gent

This dictionary definitions page includes all the possible meanings, example usage and translations of the word nonconvergent.

Princeton's WordNet

  1. nonconvergent, nonintersectingadjective

    (of lines, planes, or surfaces) never meeting or crossing

Wiktionary

  1. nonconvergentadjective

    Not convergent.

Wikipedia

  1. nonconvergent

    In mathematics, a divergent series is an infinite series that is not convergent, meaning that the infinite sequence of the partial sums of the series does not have a finite limit. If a series converges, the individual terms of the series must approach zero. Thus any series in which the individual terms do not approach zero diverges. However, convergence is a stronger condition: not all series whose terms approach zero converge. A counterexample is the harmonic series 1 + 1 2 + 1 3 + 1 4 + 1 5 + ⋯ = ∑ n = 1 ∞ 1 n . {\displaystyle 1+{\frac {1}{2}}+{\frac {1}{3}}+{\frac {1}{4}}+{\frac {1}{5}}+\cdots =\sum _{n=1}^{\infty }{\frac {1}{n}}.} The divergence of the harmonic series was proven by the medieval mathematician Nicole Oresme. In specialized mathematical contexts, values can be objectively assigned to certain series whose sequences of partial sums diverge, in order to make meaning of the divergence of the series. A summability method or summation method is a partial function from the set of series to values. For example, Cesàro summation assigns Grandi's divergent series 1 − 1 + 1 − 1 + ⋯ {\displaystyle 1-1+1-1+\cdots } the value 1/2. Cesàro summation is an averaging method, in that it relies on the arithmetic mean of the sequence of partial sums. Other methods involve analytic continuations of related series. In physics, there are a wide variety of summability methods; these are discussed in greater detail in the article on regularization.

ChatGPT

  1. nonconvergent

    Nonconvergent refers to a sequence, system, or process that does not approach a limit, doesn't lead to a conclusion, or does not settle at a single point or value upon being iterated or extended indefinitely. In other words, it does not reach a defined point, or it fails to converge. It is most commonly used in mathematics and computational sciences.

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Numerology

  1. Chaldean Numerology

    The numerical value of nonconvergent in Chaldean Numerology is: 8

  2. Pythagorean Numerology

    The numerical value of nonconvergent in Pythagorean Numerology is: 4


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"nonconvergent." Definitions.net. STANDS4 LLC, 2024. Web. 28 Mar. 2024. <https://www.definitions.net/definition/nonconvergent>.

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