Sep 24, 2017 · In mathematics, a subsequence is a sequence that can be derived from another sequence by deleting some elements without changing the order of the remaining elements …

Apr 27, 2019 · In particular, the strongly monotonically increasing condition, for example, formalizes this idea of "don't look back." This definition enables some useful results we like - …

May 13, 2021 · Please inform me if there isn't or is a nice way of computing the number of distinct subsequences to a set (as I don't think there's a nice way as of now).

Dec 14, 2011 · Perhaps a new invention, a notation for subsequences can be found, the manipulation of which adds new insights and is useful. A notation would also be useful if it …

May 22, 2017 · I understand the definition of subsequence depends on the definition of sequence, however, I would like to have a most general or well-received definition of sequence and …

Jun 30, 2020 · 2 Problem: Given an array of integers of size N, divide it into the minimum number of “strictly increasing subsequences” Solution: This is a well know problem and the solution is …

Jul 18, 2011 · The proof can be given by induction. For set of n elements, the number of subsets are $2^n$. For the set of n + 1 elements, you can take the previous $2^n$ elements and add …

That third subsequence is given here as $\ {a_ {3k}\}$. More generally, if two subsequences converge and every term in the original sequence belongs to one of the two subsequences, …

Nov 25, 2024 · This is from Understanding Analysis by Abbott. We have to either give an example or disprove it. A sequence that contains subsequences converging to every point in the infinite …

Sep 15, 2020 · How we can define odd and even subsequences of $b_n$ and $c_n$? I think if $n\equiv 1\pmod 4$ and $n\equiv 3\pmod 4$, then we have odd and even subsequences of …