"In fractional quantum Hall states - a type of collective electron state observed only in two dimensional samples at very high magnetic fields - the quasiparticles are known to have precisely a
rational fraction of the electron charge, implying that they are anyons," Young said in the release.
Formenti, Parameter Estimation From Frequency Response Measurements Using
Rational Fraction Polynomials, Proc.
The common principle of all approaches consists in substitution of exponential terms in the transfer function with
rational fraction in Laplace complex variable s.
But any
rational fraction can be expressed in simplest form, without both numbers being even (or having common factors).
Note that by Result 1 our formula for GCRD does not require
rational fractions to be in reduced form.
The algebraic approach adopted from (Vidyasagar, 1985; Kucera, 1993) requires description of the systems in [R.sub.PS] as a ratio of two
rational fractions: