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The metric is given by (10) .
The proposed transition metric is given by.
The log-likelihood metric is given as (7).
This metric is given by: ESV=E*CVSV (3).
Recall that the pseudohyperbolic metric, is given by.
Recall that in the Grushin plane, the sub-Riemannian metric is given by the vectors.
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A generalization of the Hölder metric was given by Das et al. (see [9]).
We discuss the performance with respect to each metric are given below.
Further details on calculating this metric are given in Section 6.3.
The relation between a metric and an S-metric is given in [10] as follows: [10] Let (X, d) be a metric space.
It is well known that the metric of any linear metric space is given by some total paranorm (see[24], Theorem 10.4.2, p.183).
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