Lecture 3; Math 636

 

Scaling in geometry

            lengths

            areas

            volumes

 

                                                   

 

Geometric similarity y=f(x)  --- >   y=?

 

Cow at birth weighs 100 lbs and is a third the height of an adult cow. How much does the adult cow weigh?

 

Power laws and allometric relationships:  

            Zipf et al.

            WWW (for more info, see this 1999 Science article)

 

Maintenance energy of a homeotherm

 

normative vs descriptive models