Affine Differential Invariants of Functions on the Plane
Joint Authors
Zhang, Bin
Wang, Yuanbin
Wang, Xingwei
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-06
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
A differential invariant is a function defined on the jet space of functions that remains the same under a group action.
It is an important concept to solve the equivalence problem.
This paper presents an effective method to derive a special type of affine differential invariants.
Given some functions defined on the plane and an affine group acting on the plane, there are induced actions of the group on the functions and on the derivative functions of the functions.
Affine differential invariants of these functions are useful in many applications.
However, there has been little systematic study of this problem at present.
No clear and simple results are available for application users to use directly.
We propose a direct and simple method to construct affine differential invariants in this situation.
Some useful explicit formulas of affine differential invariants of 2D functions are presented.
American Psychological Association (APA)
Wang, Yuanbin& Wang, Xingwei& Zhang, Bin. 2013. Affine Differential Invariants of Functions on the Plane. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-504778
Modern Language Association (MLA)
Wang, Yuanbin…[et al.]. Affine Differential Invariants of Functions on the Plane. Journal of Applied Mathematics No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-504778
American Medical Association (AMA)
Wang, Yuanbin& Wang, Xingwei& Zhang, Bin. Affine Differential Invariants of Functions on the Plane. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-504778
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-504778