Question

If we perturb an ODE, with the same starting conditions can we show that they converge together over time or at least do not diverge?

score 43 · Answer 1 · 2026-04-15 22:30:02

43

Views

If we perturb an ODE, with the same starting conditions can we show that they converge together over time or at least do not diverge?

Published on 15 Apr 2026 - 22:30

score 59 · Answer 2 · 2026-04-16 03:34:14

59

Views

Asymptotic expansion of the integral $\int_0^s \sqrt{\frac{1}{E-V(x)}} - \sqrt{\frac{1}{E+x^2}}dx$ as $E\to0$ for $V(x)=-x^2+...$

Published on 16 Apr 2026 - 3:34

score 25 · Answer 3 · 2026-04-13 23:01:59

25

Views

Does my proof that the recurrence $T(n) = T(\frac{n}{2}) + d = \Theta(lgn)$work?

Published on 13 Apr 2026 - 23:01

score 37 · Answer 4 · 2026-04-11 13:40:19

37

Views

little-oh/big-oh rules for function composition

Published on 11 Apr 2026 - 13:40

score 331 · Answer 5 · 2026-04-09 13:44:58

331

Views

Growth rate of orders of perfect groups

Published on 09 Apr 2026 - 13:44

score 92 · Answer 6 · 2026-04-16 16:20:01

92

Views

Extracting the leading non-analytic piece of $\int_0^{1/2} \frac{t dx}{x^{-t} - x^t}$ at small real $t$

Published on 16 Apr 2026 - 16:20

score 128 · Answer 7 · 2026-04-15 05:48:31

128

Views

Dyadic sum of $\frac{x}{\ln x}$ (i.e. dyadic asymptotic for prime number theorem)

Published on 15 Apr 2026 - 5:48

score 16 · Answer 8 · 2026-04-23 13:27:38

16

Views

Comparing the growth/decay rates of $f(n)$ and $\frac{n-1}{n^2}$.

Published on 23 Apr 2026 - 13:27

score 116 · Answer 9 · 2026-03-25 16:01:45

116

Views

Asymptotic formula of a definite double integral

Published on 25 Mar 2026 - 16:01

score 67 · Answer 10 · 2026-04-14 22:38:57

67

Views

Small $o$ notation and the convergence of sum of identically distributed random variables

Published on 14 Apr 2026 - 22:38

score 92 · Answer 11 · 2026-04-16 09:28:47

92

Views

Series of $\, _2F_1\left(-\frac{1}{n},\frac{1}{n};\frac{1}{n}+1;-1\right)$

Published on 16 Apr 2026 - 9:28

score 91 · Answer 12 · 2026-04-14 07:47:55

91

Views

To find condition on $p$ such that the asymptotics of a function is infinity

Published on 14 Apr 2026 - 7:47

score 26 · Answer 13 · 2026-04-25 10:10:24

26

Views

$T(n) = 2T(n/2) + \Theta(n)$ tight bound

Published on 25 Apr 2026 - 10:10

score 30 · Answer 14 · 2026-04-12 20:52:12

30

Views

Positive part function of random variable

Published on 12 Apr 2026 - 20:52

score 15 · Answer 15 · 2026-04-14 19:38:35

15

Views

Is the tightest upper bound for (logn)^2 = O(sqrt(n))

Published on 14 Apr 2026 - 19:38

List Question

If we perturb an ODE, with the same starting conditions can we show that they converge together over time or at least do not diverge?

Asymptotic expansion of the integral $\int_0^s \sqrt{\frac{1}{E-V(x)}} - \sqrt{\frac{1}{E+x^2}}dx$ as $E\to0$ for $V(x)=-x^2+...$

Does my proof that the recurrence $T(n) = T(\frac{n}{2}) + d = \Theta(lgn)$work?

little-oh/big-oh rules for function composition

Growth rate of orders of perfect groups

Extracting the leading non-analytic piece of $\int_0^{1/2} \frac{t dx}{x^{-t} - x^t}$ at small real $t$

Dyadic sum of $\frac{x}{\ln x}$ (i.e. dyadic asymptotic for prime number theorem)

Comparing the growth/decay rates of $f(n)$ and $\frac{n-1}{n^2}$.

Asymptotic formula of a definite double integral

Small $o$ notation and the convergence of sum of identically distributed random variables

Series of $\, _2F_1\left(-\frac{1}{n},\frac{1}{n};\frac{1}{n}+1;-1\right)$

To find condition on $p$ such that the asymptotics of a function is infinity

$T(n) = 2T(n/2) + \Theta(n)$ tight bound

Positive part function of random variable

Is the tightest upper bound for (logn)^2 = O(sqrt(n))

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