The E. Study Mapping For Directed Lines in 3-Space1
Journal Title: International Research Journal of Applied and Basic Sciences - Year 2013, Vol 5, Issue 11
Abstract
E. Study(Geometrie der Dynamen, Leibzig, 1903) showed that there exists a one-to-one correspondence between the vectors of dual unit sphereS2D and the directed lines of space of lines E3. In this paper, we introduce a generalized inner product and so obtain a new 3-space E3 . ?? Furthermore, the generalized E. Study mapping is defined for the lines in this space. We show that this map corresponds with a dual orthogonal matrix. AMS Math. Sub. Class.: 47B37.
Authors and Affiliations
Mina Rashidi| Department of Mathematics, Islamic Azad university, Miyaneh branch, Miyaneh, Iran, Mehdi Shahsavari| Department of Mathematics, Islamic Azad university, Miyaneh branch, Miyaneh, Iran, Mehdi Jafari *| Payame Noor university, Iran, email: Mj_msc@yahoo.com
Keywords
Related Articles
- EP ID EP6049
- DOI -
- Views 299
- Downloads 7
Civil liability in law of Iran and UK
Civil liability is the obligation of a person to compensation which the civil liability of another person without authorization from the legal right to occur when one of the loss to bring hurt, damage that may does not c...
Postmodernism of Globalization in Nathaniel Hawthorn's the Scarlet Letter and Young Goodman Brown
The purpose of this paper is to express a certain notable aspect of how literature of the United State' writers like as Nathaniel Hawthorn is introduced, received and consumed throughout the world. It is tacitly trying t...
Completely Random Design and Least Significant Differences for Breast Cancer in Al-Najaf City (2005-2009)
In this study, we evaluate breast cancer in Al-Najaf city in Iraq for the period 2005-2009. The data is analyzed using completely random design to explain the significant difference between all variables: age, tumors lev...
Study the Effects of organizational culture on job satisfaction (Kermanshah Province Office)
The present study attempts to study the effect of organizational culture on job satisfaction considering organizational commitment and social capital based on the structural equations model in Kermanshah Province Office....
Research Holy Love Feature In Mystically Poem Gasem Anvar
This idea that is a kind of the personal relationship between God and Human is not exclusive to Islamic Gnostics and Mystics. However, Islamic Gnostics and Mystics believe it firmly. Amorous Gnostics and Mystics believe...