eachGröbnerConeCorrespondsTo
P175120
predicate
Indicates that every Gröbner cone in a given fan or decomposition is associated with, and uniquely determines, a specific algebraic or combinatorial object (such as an initial ideal or term order).
All labels observed (2)
| Label | Occurrences |
|---|---|
| eachGröbnerConeCorrespondsTo canonical | 1 |
| maximalConesCorrespondTo | 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: eachGröbnerConeCorrespondsTo
Generated description
Indicates that every Gröbner cone in a given fan or decomposition is associated with, and uniquely determines, a specific algebraic or combinatorial object (such as an initial ideal or term order).
Sample triples (2)
| Subject | Object |
|---|---|
| Gröbner fan | distinct reduced Gröbner bases via predicate surface "maximalConesCorrespondTo" ⓘ |
| Gröbner fan | one reduced Gröbner basis ⓘ |