integrability condition
C29356
concept
An integrability condition is a mathematical requirement, often expressed as a compatibility or consistency relation among derivatives, that ensures a given system of equations or differential forms admits a solution or can be derived from a potential function.
All labels observed (3)
| Label | Occurrences |
|---|---|
| integrability condition canonical | 2 |
| continuity condition | 1 |
| geometric compatibility condition | 1 |
Description generation (CDg)
The one-sentence description above was generated by prompting gpt-5.1 with the class name and this instruction.
Instruction
generate a one-sentence description for a given conceptual class. # Response Format Return only the sentence: "Description: [one-sentence description of the conceptional class]"
Input
Class: integrability condition
Generated description
An integrability condition is a mathematical requirement, often expressed as a compatibility or consistency relation among derivatives, that ensures a given system of equations or differential forms admits a solution or can be derived from a potential function.
Instances (4)
| Instance | Via concept surface |
|---|---|
| Yang–Baxter equation | — |
| Lipschitz continuity condition | continuity condition |
| Gauss–Codazzi equations | geometric compatibility condition |
|
YBE
surface form:
Yang–Baxter equation
|
— |