A metric formula on a quotient space which is related to the sequence space Σ 2
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In 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 .