Saltan, MustafaAslan, Nisa2021-11-302021-11-302021-06-30https://doi.org/10.31801/cfsuasmas.729550http://hdl.handle.net/20.500.12575/76480In this paper, we first define an equivalence relation on the sequence space Σ 2 . Then we equip the quotient set Σ 2 / ∼ with a metric d 1 . We also determine an isometry map between the metric spaces ( Σ 2 / ∼ , d 1 ) and ( [ 0 , 1 ] , d e u c l ) . Finally, we investigate the symmetry conditions with respect to some points on the metric space ( Σ 2 / ∼ , d 1 ) and we compare truncation errors for the computations which is obtained by the metrics d e u c l and d 1 .enMetric spacesSymbolic dynamicsIsometryArticle7013203302618-6470