solutionProperty
P69697
predicate
Indicates that a solution possesses a specific characteristic, attribute, or quality relevant to its behavior, composition, or performance.
Observed surface forms (4)
- typicalSolutionProperty ×4
- solutionStatus ×2
- solutionBehavior ×1
- solutionSetProperty ×1
Sample triples (16)
| Subject | Object |
|---|---|
| Cauchy functional equation | f(-x) = -f(x) via predicate surface "typicalSolutionProperty" ⓘ |
| Cauchy functional equation | f(0) = 0 via predicate surface "typicalSolutionProperty" ⓘ |
| Cauchy functional equation | f(nx) = n f(x) for integer n via predicate surface "typicalSolutionProperty" ⓘ |
| Cauchy functional equation | f(qx) = q f(x) for rational q via predicate surface "typicalSolutionProperty" ⓘ |
| Conway’s soldiers | exact maximum height known for standard orthogonal version via predicate surface "solutionStatus" ⓘ |
|
H10
surface form:
Hilbert's tenth problem
|
no algorithm exists that decides solvability of all Diophantine equations in integers ⓘ |
| Hilbert’s tenth problem | negatively solved via predicate surface "solutionStatus" ⓘ |
| Laplace equation | satisfies maximum principle ⓘ |
| Laplace equation | satisfies mean value property ⓘ |
| Lotka–Volterra equations | neutrally stable cycles in the linearized ideal model via predicate surface "solutionBehavior" ⓘ |
| Nevanlinna–Pick interpolation | solution set is convex in the Schur class via predicate surface "solutionSetProperty" ⓘ |
| Wahba problem in spline smoothing | unique minimizer under standard conditions ⓘ |
| brachistochrone problem | gives minimum time of descent ⓘ |
| brachistochrone problem | not a circular arc ⓘ |
| brachistochrone problem | not a straight line ⓘ |
| tautochrone problem | the cycloidal pendulum has a period independent of amplitude for small oscillations ⓘ |