noun
- plural of integrability; the quality or state of being integrable, especially in mathematics and physics where a system or function can be integrated or solved exactly.
Usage: technical; mathematics; physics
Examples
- The integrabilities of various differential equations are studied in advanced calculus courses.
- Researchers examined the integrabilities of the nonlinear systems to determine which ones had closed-form solutions.
- In quantum mechanics, the integrabilities of certain Hamiltonians determine whether the system is solvable.
- The paper discusses the integrabilities of different types of partial differential equations.