integrable
Adjective
Meaning
Capable of being integrated.
Source: Webster's dictionarySynonyms
Examples
The transition from integrable to non integrable systems is quiet interesting to observe.
Different initial conditions of the integrable Hamiltonian system will trace different invariant tori in phase space.
Examples * If f : R → R is a Lebesgue integrable function and f(x) ≥ 0 almost everywhere, then :: :for all real numbers a < b with equality iff almost everywhere.
For instance, this is the case of partially integrable and superintegrable Hamiltonian systems and non-autonomous mechanics.
Convolutions on groups If G is a suitable group endowed with a measure λ, and if f and g are real or complex valued integrable functions on G, then we can define their convolution by : It is not commutative in general.
Among other things, he showed that every piecewise continuous function is integrable.