Question

Suppose that $f (x) =O(g(x))$. Does it follow that $\log |f (x)| =O(log |g(x)|)$?

score 287 · Answer 1 · 2026-04-16 15:55:33

287

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Suppose that $f (x) =O(g(x))$. Does it follow that $\log |f (x)| =O(log |g(x)|)$?

Published on 16 Apr 2026 - 15:55

score 38 · Answer 2 · 2026-04-09 03:29:37

38

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How to do this asymptotic task?

Published on 09 Apr 2026 - 3:29

score 2.9k · Answer 3 · 2026-04-16 09:55:54

2.9k

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Suppose that $f (x)$ is $O(g(x))$. Does it follow that $2^{f(x)}$ is $O(2^{g(x)})$?

Published on 16 Apr 2026 - 9:55

score 318 · Answer 4 · 2026-04-15 23:51:15

318

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Growth of $n!!\dots !$

Published on 15 Apr 2026 - 23:51

score 1.4k · Answer 5 · 2026-04-12 01:54:25

1.4k

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Asymptotic large order approximation for Bessel function expression

Published on 12 Apr 2026 - 1:54

score 379 · Answer 6 · 2026-03-25 19:06:31

379

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Asymptotic expansion of a Laplace-type integral with a "manifold of maxima"

Published on 25 Mar 2026 - 19:06

score 46 · Answer 7 · 2026-04-18 03:04:14

46

Views

Question about big omega proof

Published on 18 Apr 2026 - 3:04

score 109 · Answer 8 · 2026-04-14 22:02:48

109

Views

Proving $n^{10\log(n)} = O((\log^n(n))$

Published on 14 Apr 2026 - 22:02

score 1.1k · Answer 9 · 2026-04-10 20:31:32

1.1k

Views

Big O notation and limits

Published on 10 Apr 2026 - 20:31

score 84 · Answer 10 · 2026-04-14 22:27:30

84

Views

Asymptotic expansion of integrals of the form $\int_{\mathcal{D}} \exp(\lambda\, \phi(x))\, g(x) \,dx$ for small $\lambda.$

Published on 14 Apr 2026 - 22:27

score 89 · Answer 11 · 2026-04-10 19:38:46

89

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Order estimates question and big O notation

Published on 10 Apr 2026 - 19:38

score 134 · Answer 12 · 2026-04-11 23:44:52

134

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Number of rationals with denominator less than $N$

Published on 11 Apr 2026 - 23:44

score 1.8k · Answer 13 · 2026-04-09 08:49:57

1.8k

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Counting Primitive Operations

Published on 09 Apr 2026 - 8:49

score 492 · Answer 14 · 2026-04-15 10:58:24

492

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Big-O notation examples

Published on 15 Apr 2026 - 10:58

score 46 · Answer 15 · 2026-04-09 13:11:09

46

Views

Applying function to both sides of asymptotic expression

Published on 09 Apr 2026 - 13:11

List Question

Suppose that $f (x) =O(g(x))$. Does it follow that $\log |f (x)| =O(log |g(x)|)$?

How to do this asymptotic task?

Suppose that $f (x)$ is $O(g(x))$. Does it follow that $2^{f(x)}$ is $O(2^{g(x)})$?

Growth of $n!!\dots !$

Asymptotic large order approximation for Bessel function expression

Asymptotic expansion of a Laplace-type integral with a "manifold of maxima"

Question about big omega proof

Proving $n^{10\log(n)} = O((\log^n(n))$

Big O notation and limits

Asymptotic expansion of integrals of the form $\int_{\mathcal{D}} \exp(\lambda\, \phi(x))\, g(x) \,dx$ for small $\lambda.$

Order estimates question and big O notation

Number of rationals with denominator less than $N$

Counting Primitive Operations

Big-O notation examples

Applying function to both sides of asymptotic expression

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