symplecticFormLocalExpression
P140827
predicate
Indicates how a symplectic form is represented in local coordinates or a local chart on a symplectic manifold.
All labels observed (2)
| Label | Occurrences |
|---|---|
| locallyExpressedInAffineChart | 1 |
| symplecticFormLocalExpression canonical | 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: symplecticFormLocalExpression
Generated description
Indicates how a symplectic form is represented in local coordinates or a local chart on a symplectic manifold.
Sample triples (2)
| Subject | Object |
|---|---|
| Darboux theorem | omega = sum_{i=1}^n dq_i wedge dp_i in Darboux coordinates ⓘ |
| Fubini–Study form | i∂∂̄ log(1+∑_{j=1}^n |w_j|^2) via predicate surface "locallyExpressedInAffineChart" ⓘ |