integrable

Adjective

Meaning

Capable of being integrated.

Source: Webster's dictionary

Synonyms

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Examples

The transition from integrable to non integrable systems is quiet interesting to observe. Ivar Ekeland

Different initial conditions of the integrable Hamiltonian system will trace different invariant tori in phase space. Source: Internet

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. Source: Internet

For instance, this is the case of partially integrable and superintegrable Hamiltonian systems and non-autonomous mechanics. Source: Internet

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. Source: Internet

Among other things, he showed that every piecewise continuous function is integrable. Source: Internet

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