isNondegenerate
P93938
predicate
Indicates that the object or structure has no trivial, collapsed, or singular cases and thus satisfies the required non-degeneracy conditions.
All labels observed (3)
| Label | Occurrences |
|---|---|
| isNondegenerate canonical | 4 |
| forNondegenerateConvenientPlaneCurve | 1 |
| nondegeneracyCondition | 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: isNondegenerate
Generated description
Indicates that the object or structure has no trivial, collapsed, or singular cases and thus satisfies the required non-degeneracy conditions.
Sample triples (6)
| Subject | Object |
|---|---|
| Weil pairing | true ⓘ |
| Milnor number | computable from Newton polygon via predicate surface "forNondegenerateConvenientPlaneCurve" ⓘ |
|
Hermitian forms (work on quadratic forms)
surface form:
Hermitian form
|
h(x,y)=0 for all y implies x=0 via predicate surface "nondegeneracyCondition" ⓘ |
| Kronecker pairing | for finite type homology over a field ⓘ |
| Kronecker pairing | for closed oriented manifolds in top degree ⓘ |
| Tate pairing | true ⓘ |