nontrivialExample
P179303
predicate
Indicates that something serves as a meaningful or non-obvious instance illustrating a concept, property, or phenomenon, beyond simple or degenerate cases.
All labels observed (3)
| Label | Occurrences |
|---|---|
| nontrivialExample canonical | 2 |
| nontrivialOn | 2 |
| isNontrivialFor | 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: nontrivialExample
Generated description
Indicates that something serves as a meaningful or non-obvious instance illustrating a concept, property, or phenomenon, beyond simple or degenerate cases.
Sample triples (5)
| Subject | Object |
|---|---|
|
Whitehead product in homotopy theory
surface form:
Whitehead product
|
[ι_n,ι_n] in π_{2n-1}(S^n) for n>1 ⓘ |
|
Whitehead product in homotopy theory
surface form:
Whitehead product
|
Hopf invariant phenomena in homotopy groups of spheres ⓘ |
| Carleson theorem on almost-everywhere convergence | functions not in L^p for p>2 via predicate surface "isNontrivialFor" ⓘ |
| Godbillon–Vey invariant | certain foliations of the 3-sphere via predicate surface "nontrivialOn" ⓘ |
| Godbillon–Vey invariant | Reeb-type foliations via predicate surface "nontrivialOn" ⓘ |