The sequence of numbers 2, 4, 6 is a
subsequence of the sequence 1, 2, 3, 4, 5, 6."
数字序列2、4、6是序列1、2、3、4、5、6的一个子序列。
We can extract a convergent
subsequence from any bounded sequence.
我们可以从任何有界序列中提取一个收敛的子序列。
A monotonic
subsequence is one that either increases or decreases.
单调子序列是指要么递增要么递减的序列。
The
subsequence of odd numbers in the given sequence is 1, 3, 5."
在给定的序列中,奇数的子序列是1、3、5。
Every infinite sequence has an increasing or decreasing
subsequence.
每个无限序列都有一个递增或递减的子序列。
The
subsequence theorem states that if a sequence has a convergent
subsequence, then it is bounded.
子序列定理指出,如果一个序列有一个收敛的子序列,那么它是有界的。
The
subsequence of prime numbers in the sequence 1, 2, 3, 4, 5, 6, 7, 8, 9 is 2, 3, 5, 7."
在序列1、2、3、4、5、6、7、8、9中,质数的子序列是2、3、5、7。
A
subsequence is not required to be consecutive elements of the original sequence.
子序列不需要是原序列中的连续元素。
In the sequence 1, 2, 3, 4, 5, 6, 7, 8, 9, the
subsequence 1, 3, 5, 7, 9 consists of every other number.
在序列1、2、3、4、5、6、7、8、9中,子序列1、3、5、7、9由每隔一个数字组成。
If a sequence does not converge, it may still have a convergent
subsequence.
如果一个序列不收敛,它可能仍然有一个收敛的子序列。
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