associatedQuadraticForm
P140208
predicate
Indicates that one mathematical object (such as a bilinear form, matrix, or linear operator) is linked to or determines a specific quadratic form derived from it.
All labels observed (2)
| Label | Occurrences |
|---|---|
| associatedQuadraticForm canonical | 1 |
| relationToSecondFundamentalForm | 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: associatedQuadraticForm
Generated description
Indicates that one mathematical object (such as a bilinear form, matrix, or linear operator) is linked to or determines a specific quadratic form derived from it.
Sample triples (2)
| Subject | Object |
|---|---|
|
Hermitian forms (work on quadratic forms)
surface form:
Hermitian form
|
q(x) = h(x,x) ⓘ |
| shape operator | second fundamental form II(X,Y) = ⟨S(X),Y⟩ via predicate surface "relationToSecondFundamentalForm" ⓘ |