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Forums
Mathematics
General Math
Fractal Dimension & Degree of Freedom
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[QUOTE="Swamp Thing, post: 6086507, member: 5126"] I have been learning about the idea of "dimension" of a shape in terms of how its "mass" scales down when we cut it into self-similar parts. For example, [MEDIA=youtube]gB9n2gHsHN4[/MEDIA] However, the term "dimension" is closely linked with the idea of degree of freedom. So my question is, is there any sense in which the dimension of a fractal is linked with a "fractional" degree of freedom? Perhaps leading to some implications of a thermodynamic nature? [/QUOTE]
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Mathematics
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Fractal Dimension & Degree of Freedom
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