forwarded 198466 maxima@math.utexas.edu
tags 198466 +upstream
tags 198466 +confirmed
thanks
A Debian user submitted this report, which I'm also registering at the
website. Any ideas on a fix?
Take care,
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When trying to do some complicated Taylor series expansions, maxima
hangs; I believe it is in an infinite loop, as xload shows the cpu
saturated.
An example is:
f(x):= asin(sqrt(1-x^2)/(1+eps));
taylor(f(x),x,0,2);
which produces this condition. While trying to isolate the bug, I tried:
g(x):=asin(sqrt(1-x^2));
taylor(g(x),x,0,2);
which produces the error message:
"Taylor encountered an unfamiliar singularity in ABS(X)"
I am unable to find any documentation on this "unfamiliar singularity"
error message. However, from looking at the second derivative of G(x),
I think I can see what's causing the problem: the sqrt() in the above
expression is symmetrical about x=0, but has a cusp there. However, this
ought to cause taylor() to produce an error message in the first example,
instead of looping; this is not very user-friendly.
What's the difference between a familiar singularity and an unfamiliar
one, anyway?
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--
Camm Maguire camm@enhanced.com
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"The earth is but one country, and mankind its citizens." -- Baha'u'llah