MaplePrimes - answers and comments on Question, how to plot Sigma(R30)?

a brute way

Axel Vogt — Sun, 21 Aug 2011 16:50:19 Z

This is more or less something exponential, so log may be the way
for a reasonable scaling, up to signs

plot([ln(temp6c),ln(-temp6c)],Sigma=-40..40);

log(zero) = -infinity, thus it is peaked where you may guess some zero

so you want { t | f(r,s, t) = 0 } ?

Axel Vogt — Sun, 21 Aug 2011 22:50:17 Z

So I guess your question is: plot the zeroes of f(r,s, t) for r,s in a given range.

This will be a surface (depending on r,s).

doodles.zip

ambiguity

kh2n — Sun, 21 Aug 2011 17:10:27 Z

Trust me I didnt get it.

So this means that we cant plot Sigma(R30) ?

hard to understand what you want

Axel Vogt — Sun, 21 Aug 2011 17:55:33 Z

For me it is hard to understand what you want, in your sheet you say "Sigma increases rapidly and the numerical problem of locating the solution gets tougher and tougher", but I think you mean that temp6c increases you want that zero. It is located at the peak in the log plot.

Of course you may have something different in mind, but it is not clear.

@Axel Vogt The first thing I want

kh2n — Sun, 21 Aug 2011 18:01:16 Z

@Axel Vogt

The first thing I want to do is to plot Sigma(R30). Which I am unable to do so.

again: what should Sigma(R30) be?

Axel Vogt — Sun, 21 Aug 2011 18:32:47 Z

Sigma in your sheet is a constant (or parameter or how you want to see it), otherwise you could not even plot, and it does not depend on R30.

Again: what should Sigma(R30) be?