Question

Is there an equation for the number of iterations required to escape the Mandelbrot Set's bounding circle?

score 777 · Answer 1 · 2026-04-01 23:34:23

777

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Is there an equation for the number of iterations required to escape the Mandelbrot Set's bounding circle?

Published on 01 Apr 2026 - 23:34

score 1.2k · Answer 2 · 2021-03-11 18:08:09

1.2k

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Compute close-form of $\int_0^{\frac\pi2}\frac{dt}{\sin t+\cos t+\tan t+\cot t+\csc t+\sec t}$

Published on 11 Mar 2021 - 18:08

score 40 · Answer 3 · 2021-03-14 15:56:42

40

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How to find the closed form of this recurrence relation?

Published on 14 Mar 2021 - 15:56

score 194 · Answer 4 · 2021-03-15 15:37:45

194

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A and B are subsets of the reals; neither A nor B is an open set, but ∪ is an open set.

Published on 15 Mar 2021 - 15:37

score 175 · Answer 5 · 2021-03-16 01:40:51

175

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Find the sum $\sum_{n=1}^\infty\frac{\sqrt{n}}{2^{n/2}}$

Published on 16 Mar 2021 - 1:40

score 59 · Answer 6 · 2026-04-11 20:07:04

59

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Deriving closed form of function

Published on 11 Apr 2026 - 20:07

score 153 · Answer 7 · 2021-03-19 14:21:44

153

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Value of $a+a^a+a^{a^a}+a^{a^{a^a}}+... $

Published on 19 Mar 2021 - 14:21

score 99 · Answer 8 · 2026-04-08 05:38:50

99

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How to evaluate $ \int_0^{2 \pi} \sin((2n-1)x) \ln(\sin(x)+5/4) dx $?

Published on 08 Apr 2026 - 5:38

score 110 · Answer 9 · 2026-03-28 11:32:00

110

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How to solve $\int_0^x f(t) dt = g(f(x)) $?

Published on 28 Mar 2026 - 11:32

score 125 · Answer 10 · 2026-04-12 05:21:42

125

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Evaluating power series

Published on 12 Apr 2026 - 5:21

score 66 · Answer 11 · 2026-04-03 17:58:55

66

Views

Closed form of inverse of $(0,1) \ni x\mapsto \int_{-\infty }^{- \sqrt{-\log(x)}} e^{-\frac{z^2}{2}} dz + \sqrt{-x\log(x)}$

Published on 03 Apr 2026 - 17:58

score 72 · Answer 12 · 2021-03-24 14:32:28

72

Views

Find a closed formula for $\sum_{n\geq 0} f(n)x^n.$

Published on 24 Mar 2021 - 14:32

score 90 · Answer 13 · 2021-03-24 19:32:45

90

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Closed form solution for $a^x - b^x = 1$

Published on 24 Mar 2021 - 19:32

score 754 · Answer 14 · 2026-04-12 11:34:27

754

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How to separate real and imaginary parts of $\arccos(x+iy)$?

Published on 12 Apr 2026 - 11:34

score 55 · Answer 15 · 2021-03-26 12:08:45

55

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$\exp(a_0 + a_1 \sin(x) + a_2 \sin(2x) + ...) = b_0 + b_1 \sin(x) + b_2 \sin(2x) + b_3 \sin(3x) + c_1 \cos(x) + c_2 \cos(2x) + ...$?

Published on 26 Mar 2021 - 12:08

List Question

Is there an equation for the number of iterations required to escape the Mandelbrot Set's bounding circle?

Compute close-form of $\int_0^{\frac\pi2}\frac{dt}{\sin t+\cos t+\tan t+\cot t+\csc t+\sec t}$

How to find the closed form of this recurrence relation?

A and B are subsets of the reals; neither A nor B is an open set, but ∪ is an open set.

Find the sum $\sum_{n=1}^\infty\frac{\sqrt{n}}{2^{n/2}}$

Deriving closed form of function

Value of $a+a^a+a^{a^a}+a^{a^{a^a}}+... $

How to evaluate $ \int_0^{2 \pi} \sin((2n-1)x) \ln(\sin(x)+5/4) dx $?

How to solve $\int_0^x f(t) dt = g(f(x)) $?

Evaluating power series

Closed form of inverse of $(0,1) \ni x\mapsto \int_{-\infty }^{- \sqrt{-\log(x)}} e^{-\frac{z^2}{2}} dz + \sqrt{-x\log(x)}$

Find a closed formula for $\sum_{n\geq 0} f(n)x^n.$

Closed form solution for $a^x - b^x = 1$

How to separate real and imaginary parts of $\arccos(x+iy)$?

$\exp(a_0 + a_1 \sin(x) + a_2 \sin(2x) + ...) = b_0 + b_1 \sin(x) + b_2 \sin(2x) + b_3 \sin(3x) + c_1 \cos(x) + c_2 \cos(2x) + ...$?

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