PMC:1630425 / 11902-13680 JSONTXT

{"project":"2_test","denotations":[{"id":"17049089-11895567-1690140","span":{"begin":1239,"end":1241},"obj":"11895567"}],"text":"List of symbols\nuf : coordinate in the forward iterative map. The dimension and sequence unit represented are indicated by sub and supra-indexes, ujf(i) MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaacqWG1bqDdaqhaaWcbaGaemOAaOgabaGaemOzayMaeiikaGIaemyAaKMaeiykaKcaaaaa@340B@ represents the position in the jth dimension of the iterative map for the ith unit of the sequence.\nub : same as ub but for iterative coordinates in the backward map, that is, obtained by iterating from the end to the beginning of the sequence. For either map, the coordinates fall within the [0,1] interval.\nUj(i) MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaacqWGvbqvdaqhaaWcbaGaemOAaOgabaGaeiikaGIaemyAaKMaeiykaKcaaaaa@3276@: value of the jth binary digit assigned to the ith unit of the sequence. This positions each unit of the alphabet at an edge of a unitary hypercube [14].\nD : number of dimensions of each unidirectional map.\nN : length of the sequence being represented.\nK : density kernel, K(u) indicates the height of the density distribution in map coordinate u.\nL : memory length resolution, that is, the length of the segments being resolved. It is equivalent to Markovian order added one unit.\nS : kernel smoothing parameter, see equation 3 for definition. The value of S varie between 0, for uniform density, and +∞, where the density distribution is exactly equivalent to a Markov transition table."}