well-posed
Mathematically properly defined
Well-posed describes a problem or question that is properly formulated and has the conditions needed for a meaningful solution.
In mathematics and science, a well-posed problem has a solution that exists, is unique, and depends continuously on the input data.
More broadly, a well-posed question is one framed clearly enough to be answerable: That's not a well-posed question—you need to specify your constraints.
Exactly correct, no error
- unambiguousAllowing single interpretation only
- rigorousExtremely thorough and careful
- definedGiven exact meaning
- clear-cutPlainly evident, unmistakable
specific · explicit · coherent · structured · consistent · complete · formal · axiomatic
State of being real
- uniquenessQuality of being singular
- stabilityResistance to displacement
- solutionAnswer or liquid mixture
- regularizationPenalty preventing model complexity
Finite problem-solving procedure
- convergenceProcess of approaching sameness
- computableAble to be algorithmically determined
- tractableEasily managed or controlled
- decidableAlgorithmically resolvable
feasible · iterative · optimization · approximation · integrable · invertible · deterministic · stable
precise
Exactly correct, no error
- unambiguousAllowing single interpretation only
- rigorousExtremely thorough and careful
- definedGiven exact meaning
clear-cut · specific · explicit · coherent · structured · consistent · complete · formal · axiomatic · constrained
existence
State of being real
- uniquenessQuality of being singular
- stabilityResistance to displacement
- solutionAnswer or liquid mixture
algorithm
Finite problem-solving procedure
- convergenceProcess of approaching sameness
- computableAble to be algorithmically determined
- tractableEasily managed or controlled
decidable · feasible · iterative · optimization · approximation · integrable · invertible · deterministic · stable · robust
well-posedill-posed
Mathematically unstable problem
ill-conditioned · underdetermined · overdetermined · singular · degenerate
well-posedill-posed
Mathematically unstable problem
ill-defined · vague · ambiguous · unanswerable · incoherent
well, pose, posed, posing, poses, poser, posers, wellness, welling