Explanation Given: In measuring the length of the object, when the length of the ruler is reduced by a factor of 2 the number of area elements increases by a factor of 6. Formula used: Fractal dimension D of the object is found from N=R D Where, N is the factor by which number of element increases when ruler is shortened by a factor R. Taking logarithm on both the sides- log(N)=log(R D ) log(N)=D log(R)[applying the rule log(a x )=x log(a) to right hand side] D = log ( N ) log Ddg ( R ) An object is defined as fractal if it has a non-integer dimension...

Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)

6th Edition

ISBN: 9780321914620

Author: Jeffrey O. Bennett, William L. Briggs

Publisher: PEARSON

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Chapter 10.C, Problem 19E

To determine

The dimension of an object and state whether or not it is a fractal, given that in measuring the length of the object, when the length of the ruler is reduced by a factor of 2 the number of area elements increases by a factor of 6.

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Chapter 10.C, Problem 18E

Chapter 10.C, Problem 20E

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Chapter 10 Solutions

Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)

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