The Weighted Fermat Triangle Problem. (8th October 2007)
- Record Type:
- Journal Article
- Title:
- The Weighted Fermat Triangle Problem. (8th October 2007)
- Main Title:
- The Weighted Fermat Triangle Problem
- Authors:
- Shen, Yujin
Tolosa, Juan - Other Names:
- Squassina Marco Academic Editor.
- Abstract:
- Abstract : We completely solve the generalized Fermat problem : given a triangleP 1, P 2, P 3 and three positive numbersλ 1, λ 2, λ 3, find a pointP for which the sumλ 1 P 1 P + λ 2 P 2 P + λ 3 P 3 P is minimal. We show that the point always exists and is unique, and indicate necessary and sufficient conditions for the point to lie inside the triangle. We provide geometric interpretations of the conditions and briefly indicate a connection with dynamical systems.
- Is Part Of:
- International journal of mathematics and mathematical sciences. Volume 2008(2008)
- Journal:
- International journal of mathematics and mathematical sciences
- Issue:
- Volume 2008(2008)
- Issue Display:
- Volume 2008, Issue 2008 (2008)
- Year:
- 2008
- Volume:
- 2008
- Issue:
- 2008
- Issue Sort Value:
- 2008-2008-2008-0000
- Page Start:
- Page End:
- Publication Date:
- 2007-10-08
- Subjects:
- Mathematics -- Periodicals
510.5 - Journal URLs:
- https://www.hindawi.com/journals/ijmms/ ↗
- DOI:
- 10.1155/2008/283846 ↗
- Languages:
- English
- ISSNs:
- 0161-1712
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD Digital store
- Ingest File:
- 10823.xml