query: Prove an algorithm which takes (n+1)^5 steps is O(n^5)?
positive_passages.docid: 2378
positive_passages.text: Big O, how do you calculate/approximate it?
negative_passages.docid: 136274
negative_passages.text: $n! \leq \left( \frac{n+1}{2} \right)^n$ via induction
negative_passages.docid: 19459
negative_passages.text: Find remainder of $F_n$ when divided by $5$
negative_passages.docid: 132118
negative_passages.text: Computing the $n^{\textrm{th}}$ permutation of bits.
negative_passages.docid: 152577
negative_passages.text: Proving $4^n > n^4$ holds for $n\geq 5$ via induction.
negative_passages.docid: 92359
negative_passages.text: Big-O Notation Proof
negative_passages.docid: 32350
negative_passages.text: Compilation of proofs for the summation of natural squares and cubes
negative_passages.docid: 133017
negative_passages.text: Prove that $n^n>1\times3\times5\times7\times \dots\times(2n-1)$
negative_passages.docid: 95141
negative_passages.text: $n^5-n$ is divisible by $10$?
negative_passages.docid: 99530
negative_passages.text: Algorithm to multiply nimbers
negative_passages.docid: 127400
negative_passages.text: Prove that ∀ n ∈ {n | n ∈ ℕ ∧ n > 7}: n = x*3 + y*5
negative_passages.docid: 68480
negative_passages.text: Proof by Induction: Prove that $2^n > n^2$, for all natural numbers greater than or equal to $5$
negative_passages.docid: 72557
negative_passages.text: Prove that $T(n) = T(n/3) + T2n/3) + 5n$ is $O(n log n)$
negative_passages.docid: 99908
negative_passages.text: When does $120$ divide $n^5 - n$
negative_passages.docid: 49299
negative_passages.text: Proof by Induction: For any integer $n > 0$, $3|(5^{2n} − 1)$.
negative_passages.docid: 61635
negative_passages.text: Proving AM-GM with induction
negative_passages.docid: 1840
negative_passages.text: How can I prove that $\log^k(n) = O(n^\epsilon)$?