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Proceedings of The Second Northwest Conference on Number Theory and Smarandache Problems in China.
Collection of papers from various scientists dealing with Smarandache Notions in science. Papers on holomorphic study of the Smarandache concept in loops, some arithmetical properties of primitive numbers of power p, Smarandache quasigroups, the mean value of the Smarandache simple divisor function, and other similar topics. Contributors: Z. Xu, Y. Shao, X. Zhao, X. Pan, T. Kim, C. Adiga, J. Han, Q. Yang, and many others.
Papers on Smarandache inversion sequence, global attractivity of a recursive sequence, Smarandache fantastic ideals of Smarandache BCI-algebras, translational hull of superabundant semigroups with semilattice of idempotents, the Universality of some Smarandache loops of Bol-Moufang type, and other similar topics. Contributors: M. Karama, P. Zhang, W. Kandasamy, M. Khoshnevisan, K. Ilanthenral, M. Bencze, H. Ibstedt, W. Zhu, J. Earls, and many others.
Papers on the Pseudo-Smarandache function, primes in the Smarandache deconstructive sequence, recursion formulae for Riemann zeta function and Dirichlet series, parastrophic invariance of Smarandache quasigroups, certain inequalities involving the Smarandache function, and other similar topics. Contributors: A. Majumdar, S. Gupta, S. Zhang, C. Chen, A. Muktibodh, J. Sandor, M. Karama, A. Vyawahare, H. Zhou, and many others.
Papers on Smarandache magic square, Smarandache friendly numbers, some another remarks on the generalization of Bernoulli and Euler numbers, an integral identity involving the Hermite polynomials, vinegar identifiation by ultraviolet spectrum technology and pattern recognition method, pairwise semi compact and pairwise semi lindeloff spaces, and other topics. Contributors: C. Prabpayak, U. Leerawat, S. M. Khairnar, S. Balasubramanian, B. Amudhambigai, A. H. Majeed, A. D. Hamdi, H. Jolany, M. R. Darafsheh, and others.
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 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.
The Scientific Elements is an international book series, maybe with different subtitles. This series is devoted to the applications of Smarandache?s notions and to mathematical combinatorics. These are two heartening mathematical theories for sciences and can be applied to many fields. This book selects 12 papers for showing applications of Smarandache's notions, such as those of Smarandache multi-spaces, Smarandache geometries, Neutrosophy, etc. to classical mathematics, theoretical and experimental physics, logic, cosmology. Looking at these elementary applications, we can experience their great potential for developing sciences. 12 authors contributed to this volume: Linfan Mao, Yuhua Fu, Shenglin Cao, Jingsong Feng, Changwei Hu, Zhengda Luo, Hao Ji, Xinwei Huang, Yiying Guan, Tianyu Guan, Shuan Chen, and Yan Zhang.
Papers on subclass of analytic and univalent functions in the unit disk, large quaternary cyclic codes of length 85 and related quantum error-correcting, value distribution of the Smarandache LCM function, chains of inequalities, some identities involving the near pseudo Smarandache function, and other similar topics. Contributors: S. M. Khairnar, M. More, Y. Ma, J. Chen, M. Bencze, C. Tian, N. Yuan, J. Caltenco, M. Enciso-Aguilar, W. Zheng, J. Dou, and many others.