solutionProperty
P69697
predicate
Indicates that a solution possesses a specific characteristic, attribute, or quality relevant to its behavior, composition, or performance.
All labels observed (5)
| Label | Occurrences |
|---|---|
| solutionProperty canonical | 8 |
| typicalSolutionProperty | 4 |
| solutionStatus | 2 |
| solutionBehavior | 1 |
| solutionSetProperty | 1 |
Description generation (PDg)
The one-sentence description above was generated by prompting gpt-5.1 with the predicate name and this instruction.
Instruction
Given a predicate that represents a relationship or action between entities, generate a one-sentence description explaining its meaning. # Instructions Focus on describing the relationship, not the entities themselves. # Response Format Begin the description with \' Indicates...\'
Input
Predicate: solutionProperty
Generated description
Indicates that a solution possesses a specific characteristic, attribute, or quality relevant to its behavior, composition, or performance.
Sample triples (16)
| Subject | Object |
|---|---|
| Laplace equation | satisfies mean value property ⓘ |
| Laplace equation | satisfies maximum principle ⓘ |
| Conway’s soldiers | exact maximum height known for standard orthogonal version via predicate surface "solutionStatus" ⓘ |
| Hilbert’s tenth problem | negatively solved via predicate surface "solutionStatus" ⓘ |
| brachistochrone problem | gives minimum time of descent ⓘ |
| brachistochrone problem | not a straight line ⓘ |
| brachistochrone problem | not a circular arc ⓘ |
| Cauchy functional equation | f(qx) = q f(x) for rational q via predicate surface "typicalSolutionProperty" ⓘ |
| Cauchy functional equation | f(nx) = n f(x) for integer n via predicate surface "typicalSolutionProperty" ⓘ |
| Cauchy functional equation | f(0) = 0 via predicate surface "typicalSolutionProperty" ⓘ |
| Cauchy functional equation | f(-x) = -f(x) via predicate surface "typicalSolutionProperty" ⓘ |
| Nevanlinna–Pick interpolation | solution set is convex in the Schur class via predicate surface "solutionSetProperty" ⓘ |
| Lotka–Volterra equations | neutrally stable cycles in the linearized ideal model via predicate surface "solutionBehavior" ⓘ |
|
Hilbert's tenth problem
linked to:
H10
|
no algorithm exists that decides solvability of all Diophantine equations in integers ⓘ |
| tautochrone problem | the cycloidal pendulum has a period independent of amplitude for small oscillations ⓘ |
| Wahba problem in spline smoothing | unique minimizer under standard conditions ⓘ |