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ON THE STABILITY OF IMMERSED MANIFOLDS IN $E^4$
Abdel-all, Nassar H.,Hussein, Rawya A. Korean Mathematical Society 1999 대한수학회지 Vol.36 No.4
This work is concerned mainly with the variational problem on an immersion x:M $\rightarrow$} $E^4$ . A new approach is introduced depends on the normal variation in any arbitrary normal direction in the normal bundle. The results of this work are considered as a continuation and an extension to that obtained in [1], [2] and [3], [4] respectively. The methods adapted here are based on Cartan's methods of moving frames and the calculus of variations.
Fuzzy sets for fuzzy context model
Andronic, Bogdan,Abdel-All, Nassar H. Korean Institute of Intelligent Systems 2003 INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGE Vol.3 No.2
In the first part an overview on fuzzy sets and fuzzy numbers is given. A detailed treatment of these notions is introduced in [1,2,3]. This sintetically presentation is useful in understanding and in developping the applications in context problems. In the second part, fuzzy context model is given as an application of fuzzy sets and the fuzzy equilibrium equation is solved [4,5].
SURFACES GENERATED VIA THE EVOLUTION OF SPHERICAL IMAGE OF A SPACE CURVE
Soliman, M.A.,H.Abdel-All, Nassar,Hussien, R.A.,Shaker, Taha Youssef The Kangwon-Kyungki Mathematical Society 2018 한국수학논문집 Vol.26 No.3
In this paper, we linked the motion of spherical images with the motion of their curves. Surfaces generated by the evolution of spherical image of a space curve are constructed. Also geometric proprieties of these surfaces are obtained.