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.

formulation

precise

Exactly correct, no error

clear-cut · specific · explicit · coherent · structured · consistent · complete · formal · axiomatic · constrained

mathematical

existence

State of being real

regularization · perturbation · variational · elliptic

solvable

algorithm

Finite problem-solving procedure

decidable · feasible · iterative · optimization · approximation · integrable · invertible · deterministic · stable · robust

Opposites
mathematical/computational problem formulation

well-posedill-posed

Mathematically unstable problem

ill-conditioned · underdetermined · overdetermined · singular · degenerate

question/problem clarity

well-posedill-posed

Mathematically unstable problem

ill-defined · vague · ambiguous · unanswerable · incoherent

Family

well, pose, posed, posing, poses, poser, posers, wellness, welling

Familiarity
Top 500,000
Profile
Used worldwide · Timeless · Abstract · Rated G