continued-fraction expansion

[kən′tin·yüd ′frak·shən ik′span·shən]

(mathematics)

An expansion of a driving-point function about infinity (or zero) in a continued fraction, in which the terms are alternately constants and multiples of the complex frequency (or multiples of the reciprocal of the complex frequency).

A representation of a real number by a continued fraction, in a manner similar to the representation of real numbers by a decimal expansion.

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References in periodicals archive ?

This results in a continued-fraction expansion, analogous to that found in the previous section, of the form

This hierarchy may be expressed as a continued-fraction expansion, which, in the asymptotic case of an infinite number of fluxes leads to a general description ranging from collision-dominated to ballistic dominated regimes.

The idea of continued-fraction expansions presented in sections 3 and 4 may be generalized as follows, by taking into account that, in the presence of a temperature gradient, the fluxes of order m, m + 1, and m - 1 may be coupled not only by the wave-vector k but also by the temperature gradient itself; as a consequence the hierarchy of equations (4.3) may be generalized as follows (Zakari 1997):

Continued-fraction expansions for the effective thermal conductivity are established, leading to the expected limiting behaviours in collisional and ballistic regimes, and providing an interpolation in the intermediate regimes.

Extended irreversible thermodynamics of heat transport: a brief introduction/Soojusulekande poordumatute protsesside laiendatud termodunaamika. Luhike sissejuhatus