**Advances
in Theoretical and Applied Mathematics (ATAM)**

**Volume
7 Number 4 (2012)**

**CONTENTS**

**Gaussian
Integer Solution for a Special Equation Y**^{2 }+ x^{2 }= 2z^{2}

pp. 329-335

**Authors: ***M.A. Gopalan, G. Sangeetha and Manju Somanath*

**The
M-Homomorphism and M-Anti Homomorphism on M-Fuzzy Subrings over M-Rings**

pp. 337-343

**Author: ***Mourad Oqla Massa’deh*

**Certain
Subclasses of Multivalent Functions of Complex Order Defined by Differential
Operator**

pp.
345-354

**Authors: ***T. Srinivas, P. Thirupathi Reddy and B. Madhavi*

**The
Design Method of State Time-delay Feedback Controller for Uncertain Fuzzy
Time-delay Systems**

pp. 355-362

**Author: ***Han-Liang Huang*

**Cost
– Effective Optimum Design of Triple Modular Redundant Systems with Common
Cause Failures & Fault Coverage**

pp. 363-367

**Authors: ***M. Ravi Kumar, P.Vijaja Sekhara Reddy, K. Mallikarjunudu and
B.Vijaya Bhaskara Reddy*

**Cost
– Effective Optimum Design of Non-Identical Triple Modular Redundant Systems
with Weibull Law**

pp. 369-372

**Authors: ***M. Ravi Kumar, K.Subhashini, K. Mallikarjunudu and B.Vijaja
Bhaskar Reddy*

**Fuzzy
Topologies and t-Irreducible Subsets**

pp. 373-378

**Author: ***Baby Chacko*

**Lattice
Points On The Elliptic Paraboloid 9x**^{2 }+ 4y^{2}=Z

pp.
379-385

**Authors: ***M.A.Gopalan, S.Vidhyalakshmi and G.Sumathi*

**A
Remarkable Pythagorean triangle – Rectangle Problem xy-(x+y)=m**^{2}+n^{2}-1

pp. 387-392

**Authors: ***M. A. Gopalan and B. Sivakami*

**Local Necks of Fuzzy Automata**

pp. 393-402

**Authors: ***V. Karthikeyan and M. Rajasekar*

**Visco-Elastic Free Convective Flow and
Heat Transfer Past an Oscillating Porous Plate in the Slip Flow Regime.**

pp. 403-416

**Authors: ***Rita Choudhury and Sajal Kumar Das*

**Proving Goldbach’s Conjecture by Two
Number Axes’ Positive Half Lines which Reverse from Each Other’s Direction**

pp. 417-424

**Author: ***Zhang Tianshu*

**A Proof of the Kepler’s Conjecture**

pp. 425-431

**Author: ***Zhang Tianshu*

**Some
property of Fourier-Haar coefficients**

pp. 433-438

**Author: ***A.Kh. Kobelyan*