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Example sentences for: cgr

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(ord+1) equal quadrants and the quadrant frequencies rearranged [ 12 ] . The use of quadrant to designate what is in fact a sub-unit hypercube is a consonance with the preceding work on bidimensional CGR maps [ 12 ] , where it was shown that since any number of subdivisions can be considered in a continuous domain, the density distribution becomes an order-free Markov Table that accommodates both integer and fractal memory lengths.
In this respect, USM departs from previous attempts to generalize Chaos Game Representation that conserve the bi-dimensionality of the original CGR representation [ 8 15 16 17 ] .
either forward or backward, which is an equivalent to a multidimensional solution for CGR) can be quickly established by noting that the identity of a quadrant is set by its middle coordinates [ 13 ] . In order to extract the Markov format, for an arbitrary integer order ord, each of the two n-unit hypercubes, the set of n forward or backward coordinates, would be divided in q = 2 n.
This can also be verified by comparing Figure 5awith a similar representation reported before [ 12 ] , obtained with the same data using CGR [Fig.
It has been recognized for almost a decade that the density of positions in unidirectional, bi-dimensional, iterated CGR maps (e.g.