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词汇 Monotonically increasing sequence
分类 英语词汇 英语翻译词典
释义

Monotonically increasing sequence

中文百科

串行 Sequence

（重定向自Monotonically increasing sequence）
一个实数的无限串行（蓝色）。这个串行既不是递增的也不是递减的更不是收敛的，但它是有界的。

数学上，串行是被排成一列的对象（或事件）；这样，每个元素不是在其他元素之前，就是在其他元素之后。这里，元素之间的顺序非常重要。

英语百科

Sequence 序列

（重定向自Monotonically increasing sequence）
An infinite sequence of real numbers (in blue). This sequence is neither increasing, nor decreasing, nor convergent, nor Cauchy. It is, however, bounded.
A tiling with squares whose sides are successive Fibonacci numbers in length.
The plot of a convergent sequence (an) is shown in blue. From the graph we can see that the sequence is converging to the limit zero as n increases.
The plot of a Cauchy sequence (Xn), shown in blue, as Xn versus n. In the graph the sequence appears to be converging to a limit as the distance between consecutive terms in the sequence gets smaller as n increases. In the real numbers every Cauchy sequence converges to some limit.

In mathematics, a sequence is an ordered collection of objects in which repetitions are allowed. Like a set, it contains members (also called elements, or terms). The number of elements (possibly infinite) is called the length of the sequence. Unlike a set, order matters, and exactly the same elements can appear multiple times at different positions in the sequence. Formally, a sequence can be defined as a function whose domain is a convex subset of the set of integers, such as \{0, 1, 2, ...\}, \{1, 2, ...\}, \{0, 1, 2, ..., n\}, or \{..., -1, 0, 1, 2, ...\}.
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