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Re: linear -> affine and shapes are immutable

This page is part of the web mail archives of SRFI 25 from before July 7th, 2015. The new archives for SRFI 25 contain all messages, not just those from before July 7th, 2015.



> 
> lucier@xxxxxxxxxxxxxxx writes:
> 
> > I would suggest that "affine" would be a better name than
> > "linear" for the properties of the access functions.  Linear
> > is OK (as in linear as opposed to quadratic polynomials), but in
> > this context with all the "vector"s and "array"s, I think affine
> > would be better.
> 
> Interesting. A book on Java 2D graphics defines affine transformation
> as "one in which parallel lines are still parallel after ...".
> 
> I cannot judge which is better. I don't want to put in anything about
> parallel lines. Does "each index is a sum of multiples" match "affine"
> at least as well as it matches "linear"?

An affine map is a linear map plus a constant.

Brad