Scientia Magna Vol 4 No 1 2008

Proceedings of the Fourth International Conference on Number Theory and Smarandache Problems.

Papers on two problems related to the Smarandache function, the additive k-power complements, the generalization of sequence of numbers with alternate common differences, an equation related to the Smarandache function and its positive integer solutions, the pseudo Smarandache square-free function, and other similar topics. Contributors: W. Zhang, Y. Guo, W. Xiong, S. Yilmaz, M. Turgut, A. A. Majumdar, B. Ahmad, J. Zhang, P. Zhang, N. Dung, and many others.

Papers on an equation involving the Smarandache function and its positive integer solutions, the Smarandache kn-digital subsequence, the Smarandache 3n-digital sequence and the Zhang Wenpeng's conjecture, the quintic supported spline wavelets with numerical integration and similar topics. Contributors: A. A. Majumdar, B. Chen, C. Shi, S. Wang, L. Zhang, A. Saeid, M. Haveshki, T. Veluchamy, P.S.Sivakkumar, and others.

Papers on Pseudo-Smarandache function and Smarandache LCM function, the minimum number of polychromatic C-hyperedges of the complete uniform mixed hypergraphs under one special condition, complete monotonicity properties for the gamma function and Barnes G-function, semigroup of continuous functions and Smarandache semigroups, and other similar topics. Contributors: T. Srinivas, A. K. S. C. S. Rao, X. Liang, W. He, J. Soontharanon, U. Leerawat, J. Wang, C. Zheng, F. A. Z. Shirazi, A. Hosseini, and many others.

Papers on Smarandache isotopy of second Smarandache Bol loops, dual quaternions and matrices of dual quaternions, generalized Weyl's theorem for Class A operators, a result about Young's inequality and several applications, minimal translation lightlike hypersurfaces, inequalities between the sides and angles of an acute triangle, and similar topics. Contributors: M. A. Gungor, M. Sarduvan, J. Tian, W. He, G. Ilango, R. Marudhachalam, R. Poovazhaki, V. Swaminathan, M. Mohamadhasani, M. Haveshki, A. N. Murugan, A. Nagarajan, S. Harmaitree, U. Leerawat, and others.

Papers on Smarandache least common multiple ratio, generalized galilean transformations and dual quaternions, the instantaneous screw axes of two parameter motions in Lorentzian space, a new additive function and the F. Smarandache function, cyclic dualizing elements in Girard quantales, and other topics. Contributors: R. Maragatham, C. Prabpayak, U. Leerawat, M. Karacan, L. Kula, T. Veluchamy, P. Sivakkumar, L. Torkzadeh, A. Saeid, and others.

Papers on Characterization of Symmetric Primitive Matrices with Exponent n2, Characterizations of Some Special Space-like Curves in Minkowski Space-time, Combinatorially Riemannian Submanifolds, On Smarandache Bryant Schneider Group of a Smarandache Loop, and other topics. Contributors: Linfan Mao, Bo Li, Jing Wang, Yuanqiu Huang, Mehdi Hassani, Melih Turgut, Suha Yilmaz, Suha Yilmaz, Suur Nizamoglu, A.P. Santhakumaran, P. Titus, and others.

Papers on Extending Homomorphism Theorem to Multi-Systems, A Double Cryptography Using the Smarandache Keedwell Cross Inverse Quasigroup, the Time-like Curves of Constant Breadth in Minkowski 3-Space, Actions of Multi-groups on Finite Sets, and other topics. Contributors: Linfan Mao, Zhongfu Zhang, Enqiang Zhu, Baogen Xu, S. Arumugam, I. Sahul Hamid, A.P. Santhakumaran, S.V. Ullas Chandran, M.M.M. Jaradat, M.F. Janem, A.J. Alawneh, and others.