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On ( k, n; f )-arcs of type (1, n) in PG (2, 9)
Author
Source
Journal of College of Education for Pure Sciences
Issue
Vol. 2, Issue 3 (30 Aug. 2012), pp.1-11, 11 p.
Publisher
University of Thi-Qar College of Education for Pure Sciences
Publication Date
2012-08-30
Country of Publication
Iraq
No. of Pages
11
Main Subjects
Abstract AR
في هذا البحث ناقشنا وجود الأقواس ( k، n; f ) من النوع (1، n) في المستوي الاسقاطي من الرتبة التاسعة، Im( f ) = { 0، 1، } و 1< < n حيث أن n=10 أو n=4 .
لھذا الغرض استخدمنا الأسلوب في المصدر [ 12 ].
و استنتجنا القوس (19، 4; f) من النوع (1، 4) عندما و القوس (13، 4) من النوع العادي (1، 4) عندما في PG (2، 9).
حصلنا كذلك على القوس (46، 10; f) عندما و على القوس الأحادي 11، 10; f )) عندما من النوع (1، 10) في PG (2، 9).
أيضا برهنا عدم وجود الأقواس (k، 10; f ) من النوع (1، 10) في PG (2، 9) لقيم بين 3 و 9 ، .( ≠2 and 9)
Abstract EN
In this paper we discussed the existence of (k, n; f) – arcs of type (1, n) in the projective plane of order nine; when Im (f) = {0, 1, } and 1< < n, where , i.e.
n = 4 or 10.
For this purpose we use the technique in reference [12] and we deduced the example (19, 4; f ) – arc of type (1, 4) when = 2, and we have an ordinary (13, 4) – arc of type (1, 4) in PG(2, 9), when = 3.
Also we have the examples (46, 10; f) – arc when = 2 and the monoidal (11, 10; f) – arc when = 9, which is of type (1, 10) in PG ( 2, 9 ).
Also we proved there are no (k, 10; f) – arcs of type (1, 10), in PG (2, 9), for other values of ( ≠ 2 and 9).
American Psychological Association (APA)
Abbas, Muhammad Y.. 2012. On ( k, n; f )-arcs of type (1, n) in PG (2, 9). Journal of College of Education for Pure Sciences،Vol. 2, no. 3, pp.1-11.
https://search.emarefa.net/detail/BIM-318509
Modern Language Association (MLA)
Abbas, Muhammad Y.. On ( k, n; f )-arcs of type (1, n) in PG (2, 9). Journal of College of Education for Pure Sciences Vol. 2, no. 3 (Aug. 2012), pp.1-11.
https://search.emarefa.net/detail/BIM-318509
American Medical Association (AMA)
Abbas, Muhammad Y.. On ( k, n; f )-arcs of type (1, n) in PG (2, 9). Journal of College of Education for Pure Sciences. 2012. Vol. 2, no. 3, pp.1-11.
https://search.emarefa.net/detail/BIM-318509
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-318509