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null sequence - перевод на русский
NULL SEQUENCE; VALUE THAT THE TERMS OF A SEQUENCE "TEND TO"
Convergent sequence; Null sequences; Topological convergence; Divergent sequence; Null sequence; Limit of a sequence (topology); Limit point of a sequence
![The sequence given by the perimeters of regular ''n''-sided [[polygon]]s that circumscribe the [[unit circle]] has a limit equal to the perimeter of the circle, i.e. <math>2\pi r</math>. The corresponding sequence for inscribed polygons has the same limit.](https://commons.wikimedia.org/wiki/Special:FilePath/Archimedes pi.svg?width=200 "The sequence given by the perimeters of regular ''n''-sided [[polygon]]s that circumscribe the [[unit circle]] has a limit equal to the perimeter of the circle, i.e. <math>2\pi r</math>. The corresponding sequence for inscribed polygons has the same limit.")
![The plot of a Cauchy sequence (''x<sub>n</sub>''), shown in blue, as <math>x_n</math> versus ''n''. Visually, we see that the sequence appears to be converging to a limit point as the terms in the sequence become closer together as ''n'' increases. In the [[real numbers]] every Cauchy sequence converges to some limit.](https://commons.wikimedia.org/wiki/Special:FilePath/Cauchy sequence illustration.svg?width=200 "The plot of a Cauchy sequence (''x<sub>n</sub>''), shown in blue, as <math>x_n</math> versus ''n''. Visually, we see that the sequence appears to be converging to a limit point as the terms in the sequence become closer together as ''n'' increases. In the [[real numbers]] every Cauchy sequence converges to some limit.")
null sequence
последовательность нулей
convergent sequence
математика
сходящаяся последовательность
divergent sequence
математика
расходящаяся последовательность
Определение
/dev/null
/dev-nuhl/ [The Unix null device, used as a data sink ] A
notional "black hole" in any information space being
discussed, used, or referred to. A controversial posting, for
example, might end "Kudos to rasputin@kremlin.org, flames to
/dev/null". See bit bucket.
[Jargon File ]
Википедия
Limit of a sequence
In mathematics, the limit of a sequence is the value that the terms of a sequence "tend to", and is often denoted using the symbol (e.g., ). If such a limit exists, the sequence is called convergent. A sequence that does not converge is said to be divergent. The limit of a sequence is said to be the fundamental notion on which the whole of mathematical analysis ultimately rests.
Limits can be defined in any metric or topological space, but are usually first encountered in the real numbers.
