detecting singularity




On Wed, 26 May 2010, John Lapeyre wrote:

< Hi,
< 
< Is there a way to detect a division by zero without causing
< an error that returns to the maxima toplevel? It would be
< useful, for instance to check for singularities at endpoints
< of a numerical integration range. (Something like perl's
< eval() would be great!  For instance with parse_string() to
< test if a string is legal maxima without causing an
< exception.)

? errcatch

< 
< A harder question is to search for singularities (including
< removable singularities) within a range. In numerical
< integration, Mathematica requires a user to list
< singularites in the interior of the interval, something that
< RJF criticized 19 years ago, but is still the case. But
< there must exist algorithms to search for them.
< 
< Regards,
< John
< 
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< 

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