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Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2021 / Cilt: 70 - Sayı: 1

A metric formula on a quotient space which is related to the sequence space $\Sigma _{2}$

Mustafa SALTAN
Nisa ASLAN
Sayfa
320–330
Yayın Tarihi
2021-06-30
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Finally, we investigate the symmetry conditions with respect to some points on the metric space $(\Sigma _{2}/_{\sim},d_1)$ and we compare truncation errors for the computations which is obtained by the metrics $d_{eucl}$ and $d_1$.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we first define an equivalence relation on the sequence space $\Sigma _{2}$.
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Temel Bulgular & Veri:Then we equip the quotient set $\Sigma _{2}/_{\sim}$ with a metric $d_1$.
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Sonuç & Katkı:Finally, we investigate the symmetry conditions with respect to some points on the metric space $(\Sigma _{2}/_{\sim},d_1)$ and we compare truncation errors for the computations which is obtained by the metrics $d_{eucl}$ and $d_1$.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Metric spaces · symbolic dynamics · isometry

Abstract

In this paper, we first define an equivalence relation on the sequence space $\Sigma _{2}$. Then we equip the quotient set $\Sigma _{2}/_{\sim}$ with a metric $d_1$. We also determine an isometry map between the metric spaces $(\Sigma _{2}/_{\sim},d_1)$ and $([0,1],d_{eucl})$. Finally, we investigate the symmetry conditions with respect to some points on the metric space $(\Sigma _{2}/_{\sim},d_1)$ and we compare truncation errors for the computations which is obtained by the metrics $d_{eucl}$ and $d_1$.

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Bu Makaleye Atıf Yap

SALTAN, M., ASLAN, N. (2021). A metric formula on a quotient space which is related to the sequence space $\Sigma _{2}$. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Cilt: 70 - Sayı: 1, 320–330. https://ajindex.com/articles/746750

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Kaynakça (10)

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