"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
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