[sdiy] Wave terrain synthesis (was Re: Generatingacyclicwaveforms?)

[Ian Fritz]

> > It's standard TeX notation for multiple subscripts and means "C with
> > subscript 1,x" which in turn signifies the x coordinate of the vector
> > "C with subscript 1". TeX and LaTeX notation for mathematics are
> > always used in ascii-based communication.

It doesn't matter a bit what publishing program you are using.  You did not 
define c with  a pair of subscripts.  It is absolutely forbidden to do so 
in any serious mathematical work.  Besides, wouldn't it  be more usual to 
write it as c_1,x.  You are differentiating c_1, not one.


>You should know at least a
> > minimum about mathematical notation in technical papers, having
> > published those umpteens of scientific papers that you so like to
> > mention. If you did not understand mathematical notation, which mind
> > you DOES change from university to university, it's enough to ask,
> > instead of assuming the other end of the conversation is an idiot.

I can assure you I have forgotten more algebraic geometry than you will 
ever learn.

>That does tends to happen when one begins to sense that a topic has devolved
>into just another excuse for someone to show off how brilliant they are.


OK, let's go over how simple this really is.

He is saying  that if you are on a path through some terrain and you speed 
up (staying on the path) you will get to the end quicker, so the 
corresponding wave frequency increases, but if instead you deviate a bit 
from the path (this is all irrelevant differential changes) then it will 
take you about the same time but you will be going over a different part of 
the terrain, so the corresponding wave shape will change.

Ten paragraphs, indeed.

   Ian