integrable

[in-ti-gruh-buhl]

adjective

Mathematics.

1. capable of being integrated, integrated, as a mathematical function or differential equation.

Other Word Forms

• integrability noun
• nonintegrable adjective
• unintegrable adjective

Word History and Origins

Origin of integrable¹

First recorded in 1720–30; integr(ate) + -able

Example Sentences

The Abel Prize cited “her pioneering achievements in geometric partial differential equations, gauge theory and integrable systems, and for the fundamental impact of her work on analysis, geometry and mathematical physics.”

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Uhlenbeck, who is seventy-six and an emeritus professor at the University of Texas at Austin, has done revolutionary work across several disciplines; indeed, the academy lauded “her pioneering achievements in geometric partial differential equations, gauge theory and integrable systems, and for the fundamental impact of her work on analysis, geometry and mathematical physics.”

Read more on The New Yorker

The academy cited her “pioneering achievements in geometric partial differential equations, gauge theory and integrable systems, and for the fundamental impact of her work on analysis, geometry and mathematical physics.”

Read more on Scientific American

She was honoured for “pioneering achievements in geometric partial differential equations, gauge theory and integrable systems and for the fundamental impact of her work on analysis, geometry and mathematical physics”, which sounds wildly impressive, if difficult to grasp.

Read more on The Guardian

Around that time, she took up research in integrable systems, which model certain kinds of physical phenomena such as shallow water waves.

Read more on Science Magazine