A. Abdul Hussain, M., J. Mohammed, M. (2014). Classification of Critical Points and Caustic of the Functions of Codimensions Eight and Fifteen. Alustath, 10(4), 64-77.
Mudhir A. Abdul Hussain; Murtada. J. Mohammed. "Classification of Critical Points and Caustic of the Functions of Codimensions Eight and Fifteen". Alustath, 10, 4, 2014, 64-77.
A. Abdul Hussain, M., J. Mohammed, M. (2014). 'Classification of Critical Points and Caustic of the Functions of Codimensions Eight and Fifteen', Alustath, 10(4), pp. 64-77.
A. Abdul Hussain, M., J. Mohammed, M. Classification of Critical Points and Caustic of the Functions of Codimensions Eight and Fifteen. Alustath, 2014; 10(4): 64-77.

Classification of Critical Points and Caustic of the Functions of Codimensions Eight and Fifteen

journal of kerbala university
Article 1, Volume 10, Issue 4, December 2014, Pages 64-77    PDF (0 K)
Authors
Mudhir A. Abdul Hussain; Murtada. J. Mohammed
Abstract
In the present paper we classified the critical points of functions of codimensions eight and fifteen by finding the geometric description of caustic, investigate the propagation of the critical points and determine the level curves of these functions in the space of parameters.
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