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PrecisionGoal

PrecisionGoal
is an option for various numerical operations which specifies how many effective digits of precision should be sought in the final result.
  • PrecisionGoal->Infinity specifies that precision should not be used as the criterion for terminating the numerical procedure. AccuracyGoal is typically used in this case.
  • Even though you may specify PrecisionGoal->n, the results you get may sometimes have much less than n-digit precision.
  • PrecisionGoal effectively specifies the relative error allowed in a numerical procedure.
  • With PrecisionGoal->p and AccuracyGoal->a, Mathematica attempts to make the numerical error in a result of size x be less than 10^(-a)+❘x❘ 10^(-p).
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