Question

For which $k$ we have: $|x_k-\alpha|\le10^{-16}|\alpha|$ where $\alpha$ is a solution of the equation $10x-\sin x=3$?

score 30 · Answer 1 · 2020-05-08 21:32:05

For which $k$ we have: $|x_k-\alpha|\le10^{-16}|\alpha|$ where $\alpha$ is a solution of the equation $10x-\sin x=3$?

score 165 · Answer 2 · 2026-02-23 19:17:10

165

Views

Fractal construction and IFS (iterated function system): defining a specific construction with IFS

Published on 23 Feb 2026 - 19:17

score 103 · Answer 3 · 2020-06-20 10:23:59

103

Views

How is this interesting fractal generated?

Published on 20 Jun 2020 - 10:23

score 69 · Answer 4 · 2020-07-15 14:06:22

69

Views

Iterates of $\frac{\sqrt{2}x}{\sqrt{x^2 +1}}$ converge to $\text{sign}(x)$.

Published on 15 Jul 2020 - 14:06

score 60 · Answer 5 · 2023-02-04 10:03:46

60

Views

Can a self-similar shape not be a polytope yet have a non-fractal boundary?

Published on 04 Feb 2023 - 10:03

score 133 · Answer 6 · 2023-02-04 22:27:04

133

Views

Generalization of the sliding ladder problem

Published on 04 Feb 2023 - 22:27

score 91 · Answer 7 · 2023-02-22 11:02:52

91

Views

Do the self-similarities of a fractal function govern its convergence properties?

Published on 22 Feb 2023 - 11:02

score 79 · Answer 8 · 2026-02-24 03:02:43

79

Views

Does this fractal mapping have a name?

Published on 24 Feb 2026 - 3:02

score 61 · Answer 9 · 2023-03-20 17:25:49

61

Views

How to find the limit to infinity of the iterative function used in the Mandelbrot set with a fixed C.

Published on 20 Mar 2023 - 17:25

score 44 · Answer 10 · 2023-04-17 16:29:43

44

Views

For a convergent iterated function, is the distance between the nth iteration and the fixed point always decreasing as n increases?

Published on 17 Apr 2023 - 16:29

score 108 · Answer 11 · 2023-08-04 07:29:42

108

Views

Loops in a binary iterated function system

Published on 04 Aug 2023 - 7:29

score 22 · Answer 12 · 2023-08-10 22:00:19

22

Views

Fixed point convergence of vector scheme

Published on 10 Aug 2023 - 22:00

score 82 · Answer 13 · 2023-12-05 12:23:43

82

Views

How can i solve this optimization problem effectively?

Published on 05 Dec 2023 - 12:23

score 25 · Answer 14 · 2024-03-23 07:34:58

25

Views

Symmetry of King's dream fractal (orbit of a 2-dimensional iterated function system is a parallelogram?)

Published on 23 Mar 2024 - 7:34

score 28 · Answer 15 · 2024-03-28 19:18:49

28

Views

$\mathbb K_3$, attractor of a pair of contractions

Published on 28 Mar 2024 - 19:18

List Question

For which $k$ we have: $|x_k-\alpha|\le10^{-16}|\alpha|$ where $\alpha$ is a solution of the equation $10x-\sin x=3$?

Fractal construction and IFS (iterated function system): defining a specific construction with IFS

How is this interesting fractal generated?

Iterates of $\frac{\sqrt{2}x}{\sqrt{x^2 +1}}$ converge to $\text{sign}(x)$.

Can a self-similar shape not be a polytope yet have a non-fractal boundary?

Generalization of the sliding ladder problem

Do the self-similarities of a fractal function govern its convergence properties?

Does this fractal mapping have a name?

How to find the limit to infinity of the iterative function used in the Mandelbrot set with a fixed C.

For a convergent iterated function, is the distance between the nth iteration and the fixed point always decreasing as n increases?

Loops in a binary iterated function system

Fixed point convergence of vector scheme

How can i solve this optimization problem effectively?

Symmetry of King's dream fractal (orbit of a 2-dimensional iterated function system is a parallelogram?)

$\mathbb K_3$, attractor of a pair of contractions

Trending Questions

Popular # Hahtags

Popular Questions