Definitions

from The Century Dictionary.

  • noun The quality of being integrable; capability, as of a differential equation, of being solved by means of known functions.

from the GNU version of the Collaborative International Dictionary of English.

  • noun (Math.) The quality of being integrable.

from Wiktionary, Creative Commons Attribution/Share-Alike License.

  • noun analysis The quality of being integrable (having an antidifference or antiderivative).

Etymologies

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Examples

  • An obvious para - dox — known as the integrability problem — thus arose to intrigue many a mathematical economist.

    Dictionary of the History of Ideas NICHOLAS GEORGESCU-ROEGEN 1968

  • The plan does not say it is integral, rather, it says it strives for greater integrability.

    `Highlights' of 7th ANPP Assembly 1990

  • The case is borderline; some spaces at this level of integrability, such as are usually the most important exponents in a function space (because amplitude, width, and frequency are usually the most important features of a function in analysis), they do not tell the entire story.

    What's new Terence Tao 2010

  • Spaces whose integrability exponent is larger than 1 (i.e. which lie to the left of the dotted line) tend to be Banach spaces, while spaces whose integrability exponent is less than 1 are almost never Banach spaces.

    What's new Terence Tao 2010

  • When interpolating between two spaces (using either the real or complex interpolation method), the interpolated space usually has regularity and integrability exponents on the line segment between the corresponding exponents of the endpoint spaces.

    What's new Terence Tao 2010

  • From this and (1) we see that norms with a lower regularity s 'title =' s '> s' class = 'latex'/>, no matter what one does with the integrability parameter.

    What's new Terence Tao 2010

  • In future, singularities at superconformal points should be studied, besides integrability on motivic version of WCF.

    The Reference Frame 2010

  • This research direction has been transformed into the studies of integrability and spin chains

    The Reference Frame 2010

  • Together with the unbelievable advances in integrability of the closed sector of the N = 4 theory, we are gaining evidence that the planar limit will be solved.

    The Reference Frame 2010

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