Diameter of convex sets (Bodies) and concentration of measure
Author
Ismail, Khalid Abd al-Salam Atiyyah
Source
Issue
Vol. 5, Issue 1 (31 Jan. 2020), pp.407-417, 11 p.
Publisher
Ziane Achour University of Djelfa
Publication Date
2020-01-31
Country of Publication
Algeria
No. of Pages
11
Main Subjects
Abstract AR
تحت مفهوم تركيز الحجم و مبدأ الانحراف الأعظم وجدنا أن قطر القطاع لأي جسم محدب يعتمد بصورة أساسية على ثابت التحدب L_K للجسم القطبي لأي جسم محدب.
و وجدنا أنهdiam(K∩E)≤C√p diam(K∩K^0 )حيث E⊂K^0.
Abstract EN
Under the notion of concentration of measure and (LDP) we found that the diameter of a section of any convex bodies will depends basically in the isotropic constant L_K of the polar body of the convex body and we found thatdiam(K∩E)≤C√p diam(K∩K^0)where E⊂K^0.
American Psychological Association (APA)
Ismail, Khalid Abd al-Salam Atiyyah. 2020. Diameter of convex sets (Bodies) and concentration of measure. Afak for Sciences،Vol. 5, no. 1, pp.407-417.
https://search.emarefa.net/detail/BIM-996331
Modern Language Association (MLA)
Ismail, Khalid Abd al-Salam Atiyyah. Diameter of convex sets (Bodies) and concentration of measure. Afak for Sciences Vol. 5, no. 1 (2020), pp.407-417.
https://search.emarefa.net/detail/BIM-996331
American Medical Association (AMA)
Ismail, Khalid Abd al-Salam Atiyyah. Diameter of convex sets (Bodies) and concentration of measure. Afak for Sciences. 2020. Vol. 5, no. 1, pp.407-417.
https://search.emarefa.net/detail/BIM-996331
Data Type
Journal Articles
Language
English
Notes
-
Record ID
BIM-996331
