Question

Trying to understand thought process behind proof. "Let $f(x)=7x+3$ and $g(x)=x^2$, prove $g\notin O(f)$"

score 102 · Answer 1 · 2026-04-16 08:38:26

102

Views

Trying to understand thought process behind proof. "Let $f(x)=7x+3$ and $g(x)=x^2$, prove $g\notin O(f)$"

Published on 16 Apr 2026 - 8:38

score 40 · Answer 2 · 2026-04-14 00:41:36

40

Views

Question about notation $f(x)=O(g(x))$ over the base $\mathcal{B}$

Published on 14 Apr 2026 - 0:41

score 55 · Answer 3 · 2026-03-25 11:21:46

55

Views

Looking for proof of linearity: the sum of big-Theta is big-Theta of the sum.

Published on 25 Mar 2026 - 11:21

score 35 · Answer 4 · 2026-04-15 05:11:02

35

Views

If $y(h) = 1-2\sin^2(2\pi h)$ and $f(y) = \frac{2}{1 + \sqrt{1-y^2}}$, then $f(y(h)) = 2 - 4\sqrt{2}\pi + O(h^2)$

Published on 15 Apr 2026 - 5:11

score 65 · Answer 5 · 2026-04-11 03:42:10

65

Views

How to interpret this big O notation.

Published on 11 Apr 2026 - 3:42

score 134 · Answer 6 · 2026-04-16 20:38:23

134

Views

Asymptotics of $J_n=\int^\pi_0 \max_{1\leq k\leq n} |\sin(kt)|\frac{dt}{t}$

Published on 16 Apr 2026 - 20:38

score 53 · Answer 7 · 2026-04-17 14:22:23

53

Views

Asymptotics for this limit iteration with $f(x)= 2x + x^5 ,g(x) = x + x^3$

Published on 17 Apr 2026 - 14:22

score 102 · Answer 8 · 2026-04-11 01:45:30

102

Views

How can I derive the first two terms of the asymptotic expansion of $f(n)=\sum_{k=1}^\infty [(-1)^k/k]\ln(n^2+k)$ at $n \to +\infty$?

Published on 11 Apr 2026 - 1:45

score 72 · Answer 9 · 2026-04-23 04:25:53

72

Views

How to approximate $1-\frac{1}{2\lambda}(\lambda+\mu+\beta-\sqrt{(\lambda+\mu+\beta)^2-4\lambda\mu})$?

Published on 23 Apr 2026 - 4:25

score 56 · Answer 10 · 2026-04-14 04:30:27

56

Views

Existence and Asymptotic behavior of nonlinear PDE

Published on 14 Apr 2026 - 4:30

score 51 · Answer 11 · 2026-04-11 12:13:57

51

Views

Computation of Big O notation

Published on 11 Apr 2026 - 12:13

score 65 · Answer 12 · 2026-04-14 09:25:49

65

Views

Asymptotic number of non-primes

Published on 14 Apr 2026 - 9:25

score 23 · Answer 13 · 2026-04-11 17:55:05

23

Views

Saddlepoint density of the sum of two iid Student t variable

Published on 11 Apr 2026 - 17:55

score 61 · Answer 14 · 2026-04-13 09:34:57

61

Views

Imaginary part in asymptotics of hypergeometric function

Published on 13 Apr 2026 - 9:34

score 195 · Answer 15 · 2026-03-26 04:31:06

195

Views

RH as asymptotic order of Liouville’s partial sum function

Published on 26 Mar 2026 - 4:31

List Question

Trying to understand thought process behind proof. "Let $f(x)=7x+3$ and $g(x)=x^2$, prove $g\notin O(f)$"

Question about notation $f(x)=O(g(x))$ over the base $\mathcal{B}$

Looking for proof of linearity: the sum of big-Theta is big-Theta of the sum.

If $y(h) = 1-2\sin^2(2\pi h)$ and $f(y) = \frac{2}{1 + \sqrt{1-y^2}}$, then $f(y(h)) = 2 - 4\sqrt{2}\pi + O(h^2)$

How to interpret this big O notation.

Asymptotics of $J_n=\int^\pi_0 \max_{1\leq k\leq n} |\sin(kt)|\frac{dt}{t}$

Asymptotics for this limit iteration with $f(x)= 2x + x^5 ,g(x) = x + x^3$

How can I derive the first two terms of the asymptotic expansion of $f(n)=\sum_{k=1}^\infty [(-1)^k/k]\ln(n^2+k)$ at $n \to +\infty$?

How to approximate $1-\frac{1}{2\lambda}(\lambda+\mu+\beta-\sqrt{(\lambda+\mu+\beta)^2-4\lambda\mu})$?

Existence and Asymptotic behavior of nonlinear PDE

Computation of Big O notation

Asymptotic number of non-primes

Saddlepoint density of the sum of two iid Student t variable

Imaginary part in asymptotics of hypergeometric function

RH as asymptotic order of Liouville’s partial sum function

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