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Journals / Doğuş Üniversitesi Dergisi / 2001 / Cilt: 2 - Sayı: 2

JORDAN ANLAMINDA ÖLÇÜLEBİLİRLİK

Ali DÖNMEZ
Halit ORHAN
Pages
39–42
Publication Date
2001-07-01
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

In this paper, we have proved that if A A2, A3,... are Jordan measurable sets, then countable number of these sets is also closed according to the operations union, intersection, two by two difference and symmetric difference

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In our paper published in the second issue of the Doğuş University Journal, we proved that if A and B are Jordan measurable sets, then the union, intersection, difference and symmetric difference of these sets are again Jordan measurable.
📊
Key Findings & Data:In our paper published in the second issue of the Doğuş University Journal, we proved that if A and B are Jordan measurable sets, then the union, intersection, difference and symmetric difference of these sets are again Jordan measurable.
💡
Conclusion & Impact:In this paper, we have proved that if A A2, A3,... are Jordan measurable sets, then countable number of these sets is also closed according to the operations union, intersection, two by two difference and symmetric difference
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Jordan Ölçülebilirlik · Ölçüm · Jordan measurability

Abstract

In our paper published in the second issue of the Doğuş University Journal, we proved that if A and B are Jordan measurable sets, then the union, intersection, difference and symmetric difference of these sets are again Jordan measurable. In this paper, we have proved that if A A2, A3,... are Jordan measurable sets, then countable number of these sets is also closed according to the operations union, intersection, two by two difference and symmetric difference

Özet

Doğuş Üniversitesi Dergisi'nin ikinci sayısındaki makalemizde, eğer ve kümeleri Jordan anlamında ölçülebilirse, bu kümelerin kesişim, bileşim, fark ve simetrik farklarının da Jordan anlamında ölçülebilir olduğunu ispatlamıştık. Bu makalede, eğer kümeleri Jordan anlamında ölçülebilirse, bu kümelerin sayılabilir sayıdasının bileşim, kesişim, ikişer ikişer fark ve simetrik fark işlemlerine göre kapalı olduğunu ispatladık.

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Cite This Article

DÖNMEZ, A., ORHAN, H. (2001). JORDAN ANLAMINDA ÖLÇÜLEBİLİRLİK. Doğuş Üniversitesi Dergisi, Cilt: 2 - Sayı: 2, 39–42. https://ajindex.com/articles/658637

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References (4)

  1. DÖNMEZ, A. ve H. ORHAN (2000). "Düzgün Ölçüm", Doğuş Üniversitesi Dergisi Sayı 2, s. 84-99.
  2. GOLMOGOROV, A.N. and S.V. FOMIN (1970). Introduction and Real Analysis Revised English Edition,
  3. Translated and Edited by Silverman, R. A., New York, p.31, 255-283.,
  4. SHENITZER, A. (1994). "The evolution of integration", The Amarican Math vol,, Number 1, p.66-72.,