Scientia Magna Vol 7 No 2 2011

Papers on Smarandache adjacent number sequences and its asymptotic property, counterexamples to a theorem concerning solution of certain quadratic Diophantine equation, short interval result for the e-squarefree e-divisor function, log convexity and concavity of some double sequences, intuitionistic fuzzy resolvable and intuitionistic fuzzy irresolvable spaces, super Weyl transform and some of its properties, and similar topics. Contributors: S. Panayappan, J. Wei, S. Chauhan, S. Kumar, S. Keawrahun, U. Leerawat, S. Balasubramanian, P. A. S. Vyjayanthi, S. Balasubramanian, and 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 function S(n), Erdos-Smarandache numbers, generalized intuitionistic fuzzy contra continuous functions and its applications, the asymptotic properties of triangular base sequence, linear operators preserving commuting pairs of matrices over semirings, two inequalities for the composition of arithmetic functions, compactness and proper maps in the category of generated spaces, and similar topics. Contributors: R. Ma, Y. Zhang, R. Dhavaseelan, M. Dragan, M. Bencze, Q. Yang, G. Mirhosseinkhani, C. Fu, S. S. Billing, B. Hazarika, and others.

Papers on Mathematics on Non-Mathematics: A Combinatorial Contribution, Fuzzy Cosets and Normal Subgroups and Smarandache Fuzzy Algebra, Smarandache radio mean number, Smarandache friendly index number, Non-Hamiltonian Cubic Planar 3-Connected Graphs, Smarandachely odd sequential labeling, Smarandachely near m-labeling, Smarandachely near m-mean graph, Smarandachely k-dominator coloring, semi-entire equitable dominating graph, etc.

The International J. Mathematical Combinatorics is a fully refereed international journal, sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly, which publishes original research papers and survey articles in all aspects of mathematical combinatorics, Smarandache multi-spaces, Smarandache geometries, non-Euclidean geometry, topology and their applications to other sciences..

A thing is complex, and hybrid with other things sometimes. Then, what is the reality of a thing? The reality of a thing is its state of existed, exists, or will exist in the world, independent on the understanding of human beings, which implies that the reality holds on by human beings maybe local or gradual, not the reality of a thing. Hence, to hold on the reality of things is the main objective of science in the history of human development.

Papers on Smarandache cyclic geometric determinant sequences, certain subclasses of analytic functions, types and sums of self-integrating functions, self-integrating polynomials in two variables, weakly generalized compactness in intuitionistic fuzzy topological spaces, signed product cordial graphs in the context of arbitrary supersubdivision, and similar topics. Contributors: M. Dragan, M. Bencze, S. S. Billing, V. Maheswari, A. Nagarajan, N. Subramanian, P. Lawrence, R. Lawrence, A. A. Mogbademu, and others.

Papers on Smarandache's Orthic Theorem, Smarandache's Concurrent Lines Theorem, character graph in Brauer graph's model, robust stability of switched linear systems with time-varying delay, majority neighborhood number of a graph, divisibility tests for Smarandache semigroups, Hopf bifurcation in a predator-prey model with distributed delays, and similar topics. Contributors: R. S. Maragatham, S. Asawasamarit, U. Leerawat, S. Balasubramanian, D. Senthilkumar, M. Khoshnevisan, D. Senthilkumar, Sherinjoy S. M., and others.