ON THE DETERMINATION OF A DEVELOPABLE TIMELIKE RULED SURFACE
Abstract: This paper gives a method for determining a developable timelike ruled surface by using dual vector calculus. A developable timelike ruled surface can be parameterized in the form m(t, u) =p(t) +u x(t) ( p(t) is called the base curve of m(t, u)). The dual vectorial expression of a developa...
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| Format: | Article |
| Language: | English |
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Suleyman Demirel University
2009-02-01
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| Series: | Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi |
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| Online Access: | http://dergipark.gov.tr/sdufeffd/issue/11267/134641?publisher=sdu-1 |
| _version_ | 1797909609185280000 |
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| author | Mustafa KAZAZ |
| author_facet | Mustafa KAZAZ |
| author_sort | Mustafa KAZAZ |
| collection | DOAJ |
| description | Abstract: This paper gives a method for determining a developable timelike ruled
surface by using dual vector calculus. A developable timelike ruled surface can be
parameterized in the form m(t, u) =p(t) +u x(t) ( p(t) is called the base curve of
m(t, u)). The dual vectorial expression of a developable timelike ruled surface is
obtained from the coordinates and the first derivatives of the base curve.
Key words: Minkowski space, Developable surface, Timelike ruled surface.
Mathematics Subject Classifications (2000): 53C50, 53A04, 53A05.
BİR AÇILABİLİR TİMELİKE REGLE YÜZEYİN BELİRLENMESİ ÜZERİNE
Özet: Bu makalede dual vektör analizi kullanılarak bir açılabilir timelike regle yüzeyin
belirlenmesi için bir metot verilmiştir. Bir açılabilir timelike regle yüzey
m(t, u)=p(t)+u x(t) formunda parametreleştirilebilir ( p(t) ye m(t, u) nın dayanak
eğrisi denir). Bir açılabilir timelike regle yüzeyin dual vektörel ifadesi koordinatlar ve
dayanak eğrisinin ilk türevlerinden elde edildi.
Anahtar kelimeler: Minkowski Uzayı, Açılabilir Yüzey, Timelike Regle Yüzey. |
| first_indexed | 2024-04-10T11:11:06Z |
| format | Article |
| id | doaj.art-4a281994570045ada3a931d2c99a0a15 |
| institution | Directory Open Access Journal |
| issn | 1306-7575 |
| language | English |
| last_indexed | 2024-04-10T11:11:06Z |
| publishDate | 2009-02-01 |
| publisher | Suleyman Demirel University |
| record_format | Article |
| series | Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi |
| spelling | doaj.art-4a281994570045ada3a931d2c99a0a152023-02-15T16:19:06ZengSuleyman Demirel UniversitySüleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi1306-75752009-02-013172791113ON THE DETERMINATION OF A DEVELOPABLE TIMELIKE RULED SURFACEMustafa KAZAZAbstract: This paper gives a method for determining a developable timelike ruled surface by using dual vector calculus. A developable timelike ruled surface can be parameterized in the form m(t, u) =p(t) +u x(t) ( p(t) is called the base curve of m(t, u)). The dual vectorial expression of a developable timelike ruled surface is obtained from the coordinates and the first derivatives of the base curve. Key words: Minkowski space, Developable surface, Timelike ruled surface. Mathematics Subject Classifications (2000): 53C50, 53A04, 53A05. BİR AÇILABİLİR TİMELİKE REGLE YÜZEYİN BELİRLENMESİ ÜZERİNE Özet: Bu makalede dual vektör analizi kullanılarak bir açılabilir timelike regle yüzeyin belirlenmesi için bir metot verilmiştir. Bir açılabilir timelike regle yüzey m(t, u)=p(t)+u x(t) formunda parametreleştirilebilir ( p(t) ye m(t, u) nın dayanak eğrisi denir). Bir açılabilir timelike regle yüzeyin dual vektörel ifadesi koordinatlar ve dayanak eğrisinin ilk türevlerinden elde edildi. Anahtar kelimeler: Minkowski Uzayı, Açılabilir Yüzey, Timelike Regle Yüzey.http://dergipark.gov.tr/sdufeffd/issue/11267/134641?publisher=sdu-1-- |
| spellingShingle | Mustafa KAZAZ ON THE DETERMINATION OF A DEVELOPABLE TIMELIKE RULED SURFACE Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi - - |
| title | ON THE DETERMINATION OF A DEVELOPABLE TIMELIKE RULED SURFACE |
| title_full | ON THE DETERMINATION OF A DEVELOPABLE TIMELIKE RULED SURFACE |
| title_fullStr | ON THE DETERMINATION OF A DEVELOPABLE TIMELIKE RULED SURFACE |
| title_full_unstemmed | ON THE DETERMINATION OF A DEVELOPABLE TIMELIKE RULED SURFACE |
| title_short | ON THE DETERMINATION OF A DEVELOPABLE TIMELIKE RULED SURFACE |
| title_sort | on the determination of a developable timelike ruled surface |
| topic | - - |
| url | http://dergipark.gov.tr/sdufeffd/issue/11267/134641?publisher=sdu-1 |
| work_keys_str_mv | AT mustafakazaz onthedeterminationofadevelopabletimelikeruledsurface |