criticalPoints
P28409
predicate
Indicates that certain points in a domain are locations where a function’s derivative (or gradient) is zero or undefined, marking potential local maxima, minima, or saddle points.
All labels observed (3)
| Label | Occurrences |
|---|---|
| criticalPoints canonical | 1 |
| extremaLocation | 1 |
| hasCriticalPoint | 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: criticalPoints
Generated description
Indicates that certain points in a domain are locations where a function’s derivative (or gradient) is zero or undefined, marking potential local maxima, minima, or saddle points.
Sample triples (3)
| Subject | Object |
|---|---|
| Gauss map | umbilic points of the surface ⓘ |
| Whitney umbrella | at the origin for the projection to the base plane via predicate surface "hasCriticalPoint" ⓘ |
| Chebyshev polynomials of the first kind | x_k = \cos\left(\frac{k\pi}{n}\right), k=0,…,n via predicate surface "extremaLocation" ⓘ |