Synonym of art gallery problem

(mathematics, mathematical analysis) For a given m-order partial differential equation, the problem of finding a solution function u on ℝⁿ that satisfies the boundary conditions that, for a smooth manifold S⊂ℝⁿ, u(x)=f_0(x) and (∂ᵏu(x))/(∂nᵏ)=f_k(x), ∀x∈S, k=1…m-1, given specified functions f_k defined on, and vector n normal to, the manifold.

(mathematics) The problem of deciding whether a given expression is equal to zero.

(philosophy) the philosophical problem involving our ethical obligations to future persons which derives from the observation that different courses of action will result in entirely different, or nonidentical, persons coming to be.

(probability theory) The problem of selecting the best out of n applicants for a position, under the condition that all applicants are interviewed in random order, the quality of the applicants is not known before interviewing, and once rejected an applicant cannot be recalled.

The problem of determining the minimum electrostatic potential energy configuration of a given number of electrons constrained to the surface of a unit sphere that repel each other with a force given by Coulomb's law.

The need to make a decision between alternatives that are both desirable.

plural of problem space

The situation where a spam filter or search engine blocks or modifies content because the text contains a string of letters shared with an obscene word.

(quantum mechanics) The unresolved problem of what causes a wavefunction to collapse into an eigenstate, or whether wavefunctions collapse at all.