integrability Synonyms
No Synonyms and anytonyms found
integrability Meaning
Webster
integrability (n.)
The quality of being integrable.
integrability Sentence Examples
- The integrability of the system allows for the determination of functions that describe its behavior.
- The path integral formulation of quantum mechanics relies heavily on the integrability of certain equations.
- Integrable systems exhibit remarkable properties and symmetries that simplify their analysis.
- In celestial mechanics, the integrability of the two-body problem makes it possible to predict planetary orbits.
- The Liouville-Arnold theorem establishes sufficient conditions for the integrability of Hamiltonian systems.
- The Korteweg-de Vries equation is a well-known example of an integrable nonlinear differential equation.
- Integrability criteria play a crucial role in identifying systems that possess certain desirable characteristics.
- The integrability of quantum field theories is an ongoing area of research with potential applications in particle physics.
- In statistical mechanics, the integrability of certain models enables the exact calculation of physical properties.
- The search for integrable systems continues to be a central theme in mathematics, physics, and engineering.
FAQs About the word integrability
The quality of being integrable.
No synonyms found.
No antonyms found.
The integrability of the system allows for the determination of functions that describe its behavior.
The path integral formulation of quantum mechanics relies heavily on the integrability of certain equations.
Integrable systems exhibit remarkable properties and symmetries that simplify their analysis.
In celestial mechanics, the integrability of the two-body problem makes it possible to predict planetary orbits.
