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Results tagged with fractals
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user 67002
Fractals deal with special sets that exhibit complicated patterns in every scale. Fractal sets usually have a Hausdorff dimension different from its topological dimension. Examples include Julia sets, the Sierpinski triangle, the Cantor set. Fractals naturally appear in dynamical system, such as iterations in the complex plane, or as strange attractors to continuous dynamical systems, (see Lorentz attractor).
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Numerically Evaluate the limit of the solution of a functional equation
I need to evaluate the limit of $f(x)$ as $x\to0$, where the function $f$
solves the following equation:
$$
f(x)=\left\{
\begin{array}{ll}
g(x) & \text{if } x\geq \frac{1}{2};\\
\frac{1}{2} f(\alpha …
- 617