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A collection of articles on smarandache notions in number theory.
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 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 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 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.
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.
Scientia Magna international book series publish original research articles in all areas of mathematics and mathematical sciences. However, papers related to Smarandache’s problems will be highly preferred.
Papers on Smarandache groupoids, a new class of generalized semiclosed sets using grills, Smarandache friendly numbers, a simple proof of the Sophie Germain primes problem along with the Mersenne primes problem and their connection to the Fermat's last conjecture, uniqueness of solutions of linear integral equations of the first kind with two variables, and similar topics. Contributors: A. A. Nithya, I. A. Rani, I. Arockiarani, V. Vinodhini, A. A. K. Majumdar, N. Subramanian, C. Murugesan, I. A. G. Nemron, S. I. Cenberci, B. Peker, P. Muralikrishna, M. Chandramouleeswaran, I. A. Rani, A. Karthika, and others.
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.
Scientia Magna is a peer-reviewed, open access journal that publishes original research articles in all areas of mathematics and mathematical sciences. However, papers related to Smarandache’s problems will be highly preferred.