extremalFunction
P96514
predicate
Indicates that a function attains an extreme value (such as a minimum or maximum) under given conditions or over a specified domain.
All labels observed (3)
| Label | Occurrences |
|---|---|
| isExtremalFor | 5 |
| extremalFunction canonical | 4 |
| extremalFunctionExample | 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: extremalFunction
Generated description
Indicates that a function attains an extreme value (such as a minimum or maximum) under given conditions or over a specified domain.
Sample triples (10)
| Subject | Object |
|---|---|
| Koebe quarter theorem | Koebe function ⓘ |
| Koebe function | Koebe quarter theorem via predicate surface "isExtremalFor" ⓘ |
| Koebe function | Bieberbach conjecture for n = 2 via predicate surface "isExtremalFor" ⓘ |
| Koebe function | growth estimates for univalent functions via predicate surface "isExtremalFor" ⓘ |
| Koebe function | distortion estimates for univalent functions via predicate surface "isExtremalFor" ⓘ |
| Koebe function | covering theorems in geometric function theory via predicate surface "isExtremalFor" ⓘ |
| Bieberbach conjecture | Koebe function ⓘ |
| Bieberbach conjecture | rotations of the Koebe function ⓘ |
| distortion theorem | Koebe function ⓘ |
| distortion theorem | k(z)=z/(1-z)^2 via predicate surface "extremalFunctionExample" ⓘ |