Defines fractal dimensionWhy it is a useful concept.Computes the fractal length of a simple non-fractal setComputes the "length" of a self-similar fractal in its "natural" fractional dimension.

Defines fractal dimension Why it is a useful concept. Computes the fractal length of a simple non-fractal set Computes the "length" of a self-similar fractal in its "natural" fractional dimension.

What is Fractal Dimension

This podcast takes the approach of motivating mathematical concepts by way of a compelling problem. This is NOT the same as providing a definition and then showing that it solve a useful problem. The later has the feeling of someone doing mathematics to someone as opposed to giving one the sense that mathematics is a human endeavor; full of practical problems that need to be solved. Instead people often feel like that are being handed a collection of stone tablets handed down from the math gods.This does not mean that the material is easy. It does not mean that the material provides a history of how a given concept was created; rather, it provides at best, a pseudo history of how a given concept may have come about.The podcast also contains episodes on new material and some conjectures.

Science

Mathematics

This podcast takes the approach of motivating mathematical concepts by way of a compelling problem. This is NOT the same as providing a definition and then showing that it solve a useful problem. The later has the feeling of someone doing mathematics to someone as opposed to giving one the sense that mathematics is a human endeavor; full of practical problems that need to be solved. Instead people often feel like that are being handed a collection of stone tablets handed down from the math gods. This does not mean that the material is easy. It does not mean that the material provides a history of how a given concept was created; rather, it provides at best, a pseudo history of how a given concept may have come about. The podcast also contains episodes on new material and some conjectures.

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What is Fractal Dimension

What is Fractal Dimension