Scientific Articles

published in various books

(mathematics, statistics, engineering, philosophy, social science, economy)

[Vol. IX]

 

Alternating Iterations of The Sum of Divisors Function and The Pseudo-Smarandache Function, by Henry Ibstedt. Published in Journal of Recreational Mathematics, 37(3), pp. 42-51.

Palindromic Numbers and Iterations of the Pseudo-Smarandache Function, by Charles Ashbacher. Published in Topics in Recreational Mathematics, 3/2016, pp. 32-34.

An Example of a Smarandache Geometry, by Ion Patrascu. Published in Journal of Recreational Mathematics, no. 2, 2015, pp. 28-30.

Smarandache's Orthic Theorem, by Ion Patrascu. Published in Topics in Recreational Mathematics, 3/2015, pp. 23-26.

Smarandache`s Concurrent Lines Theorem, by M. Khoshnevisan, Published in Topics in Recreational Mathematics, 1/2015, pp. 31-37.

Concatenated Problems, by Henry Ibstedt. Published in Journal of Recreational Mathematics, 38(1), 82-99 p.

A Double Cryptography Using the Smarandache Keedwell Cross Inverse Quasigroup, by Temitope Gbolahan Jaiyeola, 7 p.

A New Understanding of Particles by G-Flow Interpretation of Differential Equation, by Linfan Mao. Published in Progress in Physics, Volume 11 (2015), pp. 193-201.

An Holomorphic Study of The Smarandache Concept in Loops, by Temitope Gbolahan Jaiyeola, 9 p.

An Holomorphic Study of Smarandache Automorphic and Cross Inverse Property Loops, by Temitope Gbolahan Jaiyeola, 9 p.

A Pair of Smarandachely Isotopic Quasigroups and Loops of The Same Variety, by Temitope Gbolahan Jaiyeola, 10 p.

Basic Properties of Second Smarandache Bol Loops, by Temitope Gbolahan Jaiyeola, 10 p.

The Smarandache Bryant Schneider Group of a Smarandache Loop, by Temitope Gbolahan Jaiyeola, 14 p.

On the Universality of Some Smarandache Loops of Bol-Moufang Type, by Temitope Gbolahan Jaiyeola, 15 p.

Smarandache Isotopy of Second Smarandache Bol Loops, by Temitope Gbolahan Jaiyeola, 14 p.

Smarandache Isotopy Theory of Smarandache: Quasigroups and Loops, by Temitope Gbolahan Jaiyeola, 11 p.

Two conjectures on Smarandache’s divisor products sequence, by Marius Coman, 2 p.

The definition of Smarandache reconcatenated sequences and six such sequences, by Marius Coman. 4 p.

Seven Smarandache-Coman sequences of primes, by Marius Coman, 15 p.

Four conjectures on the Smarandache prime partial digital sequence, by Marius Coman. 5 p.

Conjecture on the consecutive concatenation of the terms of an arithmetic progression, by Marius Coman, 4 p.

Conjecture on the primes S(n)+S(n+1)-1 where S(n) is a term in Smarandache-Wellin sequence, by Marius Coman, 1 p.

Conjecture on the primes S(n+1)+S(n)-1 where S(n) is a term in the concatenated odd sequence, by Marius Coman, 2 p.

A Review on Natural Reality with Physical Equations, by Linfan Mao. Published in Progress in Physics, vol. 11 (2015), Issue 3 (July), pp. 276-282.

Biological n-System with Global Stability, by Linfan Mao. Reported at the International Conference on Applications of Mathematics in Topological Dynamics, Physical, Biological and Chemical Systems, December 9-11, 2016, India, 28 p.

Broken Lines Signals and Smarandache Stepped Functions, by Mircea Eugen Selariu, 11 p.

Characterization of Smarandache-Soft Neutrosophic Near-Ring by Soft Neutrosophic Quasi-Ideals, by N. Kannappa and B. Fairosekani. Published in Annals of Pure and Applied Mathematics, Vol. 11, No. 1, 2016, ISSN: 2279-087X (P), 2279-0888(online), pp. 99-104.

Characterization of Weak Bi-Ideals in Bi-Near Rings, by S. Maharasi, V. Mahalakshmi and S. Jayalakshmi. Published in Imperial Journal of Interdisciplinary Research (IJIR), Vol. 2, Issue 10, 2016, pp. 1941-1950.

Designing with Smarandache Sequences, Part 1: Concatenation Sequences, by Ralph E. Griswold, June 2006, 3 p.

Dual Curves of Constant Breadth According to Bishop Frame in Dual Euclidean Space, by Suha Yilmaz and Umit Ziya Savcı. Published in Mathematical Sciences Letters - An International Journal, 1 January 2016, 4 p.

Dual Smarandache Curves of a Timelike Curve lying on Unit dual Lorentzian Sphere, by Tanju Kahraman and Hasan Huseyin Ugurlu. Published in Mathematical Sciences and Applications E-Notes, 4 (2) 1-13 (2016), 13 p.

Generalized Fibonacci sequences in groupoids, by Hee Sik Kim, J. Neggers and Keum Sook So. Published in Advances in Difference Equations, 2013, 10 p.

Integral Invariants of Mannheim Offsets of Ruled Surfaces, by Gulsum Yeliz Sentuk, Salim Yuce, Emin Kasap. Published in Applied Mathematics E-Notes, 16 (2016), pp. 198-209.

Labeled Graph - A Mathematical Element, by Linfan Mao. Reported at the 4th International Conference on Discrete Mathematics and Graph Theory, June 10-11, 2016, Banglore, India, 35 p.

Mathematics with Natural Reality-Action Flows, by Linfan Mao. Reported at the National Conference on Emerging Trends in Mathematics and Mathematical Sciences, Calcutta Mathematical Society, December 17-19, 2015, Kolkata, India, 37 p.

New Algebraic Properties of Middle Bol Loops, by T. G. Jaiyeola and S. P. David. June 2016, 23 p.

New type surfaces in terms of B-Smarandache Curves in Sol, by Talat Korpinar. Published in Acta Scientiarum, July-Sept. 2015, v. 37, n. 3, pp. 389-393.

n-Fold Filters in Smarandache Residuated Lattices, Part I, by Somayeh Motamed and Mahsa Sadeghi Kosarkhizi, 12 p.

n-Fold Filters in Smarandache Residuated Lattices, Part II, by Somayeh Motamed and Mahsa Sadeghi Kosarkhizi, 12 p.

Non-overlapping matrices, by Elena Barcucci, Antonio Bernini, Stefano Bilotta, Renzo Pinzani, January 2016, 16 p.

On a Q-Smarandache Fuzzy Commutative Ideal of a Q-Smarandache BH-algebra, by Husein Hadi Abbass and Qasim Mohsin Luhaib. Published in International Journal of Algebra, Vol. 10, 2016, no. 8, pp. 381 – 391.

On a Q-Smarandache Implicative Ideal with Respect to an Element of a Q-Smarandache BH-algebra, by Husein Hadi Abbass and Hayder Kareem Gatea. Published in Journal of Kerbala University, Vol. 14, No. 1, 2016, pp. 152-160.

On Parallel Curves Via Parallel Transport Frame in Euclidean 3-Space, by Muhammed T. Sariaydin, Vedat Asil. Published in Advanced Modeling and Optimization, Volume 18, Number 1, 2016, pp. 66-71.

On Pseudospherical Smarandache Curves in Minkowski 3-Space, by Esra Betul Koc Ozturk, Ufuk Ozturk, Kazim Ilarslan and Emilija Nesovic. Published in Journal of Applied Mathematics, Volume 2014, Article ID 404521, 14 p.

On solutions of some of unsolved problems in number theory, specifically on the distribution of primes, by Ahmad Sabihi. Preprint, June 2016, 19 p.

On the Darboux Vector Belonging to Involute Curve. A Different View, by Suleyman Senyurt, Yasin Altun and Ceyda Cevahir. Published in Mathematical Sciences and Applications E-Notes, 4 (2) 131-138 (2016), pp. 131-138.

Smarandache BL-algebra, by A. Borumand Saeid, A. Ahadpanah, L. Torkzadeh. Published in Journal of Applied Logic, no. 8, 2015, pp. 253-261.

Smarandache’s Cevian Triangle Theorem in The Einstein Relativistic Velocity Model of Hyperbolic Geometry, by Catalin Barbu, April 2016, 7 p.

Smarandache Curves According to Sabban Frame of Fixed Pole Curve Belonging to the Bertrand Curves Pair, by Suleyman Senyurt, Yasin Altun and Ceyda Cevahir. 2016, pp. 2-5.

Smarandache curves in the Galilean 4-space G4, by M. Elzawy and S. Mosa. Published in Journal of the Egyptian Mathematical Society, 2016, 4 p.

Smarandache hyper BCC-algebra, by A. Ahadpanah, A. Borumand Saeid. Published in Computers and Mathematics with Applications, no. 61, pp. 2490-2497.

Some characterizations of Smarandache special definite groups, by P. A. Hummadi, H. M.Yassin, 7 p.

Special Smarandache Curves, by Nurten (Bayrak) Gurses, Ozcan Bektas, Salim Yuce. Published in Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., Volume 65, No. 2, 2016, pp. 143-160.

Surfaces Family with Common Smarandache Geodesic Curve According to Bishop Frame in Euclidean Space, by Gulnur Saffak Atalay and Emin Kasap. Published in Mathematical Sciences and Applications E-Notes, 4 (1), 2016, pp. 164-174.

The generalized golden proportions, a new theory of real numbers, and ternary mirror-symmetrical arithmetic, by Alexey Stakhov. Published in Chaos, Solutions and Fractals, 33 (2007), pp. 315-334.

The Smarandache Curves and Its Duality, by Atakan Tugkan Yakut, Murat Savas and Tugba Tamirci. Published in Journal of Applied Mathematics, Volume 2014, Article ID 193586, 12 p.

The Smarandache Curves, by Murat Savas, Atakan Tugkan Yakut, Tugba Tamirci. Published in Gazi University Journal of Science, 29 (1), 2016, pp. 69-77.

Econometric Micro- and Macro-Economic Modelling in Romania: Finding Simplicity in Complexity and Generating Statistical Simplexity, by Gheorghe Savoiu, Vasile Dinu, Emilia Gogu, Hosney Zurub. Published in Economic Computation and Economic Cybernetics Studies and Research, Issue 4/2015, pp. 69-84.

Economic Paradoxism and Meson Economics, by Gheorghe Savoiu and Vasile Dinu. Published in Amfiteatru Economic, 17 (39), 2015, pp. 776-798.

Paradoxismul economic si economia mesonică (Economic paradoxism and meson economics), by Gheorghe Savoiu, Vasile Dinu, 2015. Published in Amfiteatru Economic, 17 (39), 2015, pp. 501-523. [in Romanian]

 

Suha Yilmaz, Umit Ziya Savci: Smarandache Curves and Applications According to Type-2 Bishop Frame in Euclidean 3-Space, International J. Math. Combin. Vol. 2 (2016), 1-15.

 

B. Basavanagoud, V. R. Kulli, Vijay V. Teli: Entire Equitable Dominating Graph, International J. Math. Combin. Vol. 2 (2016), 43-50.

 

Tejaswini K. M., Venkanagouda M. Goudar: Nonsplit Geodetic Number of a Graph, International J. Math. Combin. Vol. 2 (2016), 109-120.

 

R. Ponraj, M. Maria Adaickalam, R. Kala: k-Difference cordial labeling of graphs, International J. Math. Combin. Vol. 2 (2016), 121-131.

 

A. Nellai Murugan, O. Chidambaram, Cycle and Armed Cap Cordial Graphs, International J. Math. Combin., Vol. 2 (2016), 144-152.

 

         A. A. K. Majumdar, A note on the Smarandache cyclic geometric determinant sequences. In Scientia Magna, Vol. 11 (2016), No. 1, 1-3.

         A. A. K. Majumdar, On the Smarandache LCM ratio. In Scientia Magna, Vol. 11 (2016), No. 1, 4-11.

§  An Application According to Spatial Quaternionic Smarandache Curve, by Suleyman Senyurt. In Applied Mathematical Sciences, Vol. 9, no. 5, 2015, pp. 219 – 228.

§  Antidegree Equitable Sets in a Graph, by Chandrashekar Adiga, K. N. Subba Krishna. In International J. Math. Combin. Vol. 1, 2015, pp. 24-34.

§  A Review on Natural Reality with Physical Equations, by Linfan Mao. In Progress in Physics, Volume 11, 2015, pp. 276-282.

§  A New Understanding of Particles by G -Flow Interpretation of Differential Equation, by Linfan Mao. In Progress in Physics, Volume 11, 2015, pp. 194-201.

§  Combinatorics after CC-Conjecture - Notions and Achievements, by Linfan Mao. Reported at the Conference on Combinatorics and Graph Theory, January 29-31, 2015, Shanghai, P.R. China, 38 p.

§  Extended Banach G -Flow Spaces On Differential Equations With Applications, by Linfan Mao. In Electronic Journal of Mathematical Analysis and Applications, Vol. 3(2), July 2015, pp. 59-91.

§  Extending Banach Space on Graph with Conservation Laws and G -Flow Solutions of Equations, by Linfan Mao. Chinese Academy of Mathematics and System Science, Beijing, P.R.China, 2015, 40 p.

§  G-Flows on Differential Equations with Applications, by Linfan Mao. Chinese Academy of Mathematics and System Science, Beijing, P.R.China, 2015, 40 p.

§  A Study on Properties of Dempster-Shafer Theory to Probability Theory Transformations, by A. Shahpari, S. A. Seyedin. In Iranian Journal of Electrical & Electronic Engineering, Vol. 11, No. 2, June 2015, pp. 87-100.

§  Conjecture that relates both the lesser and the larger term of a pair of twin primes to the same number through two different functions, by Marius Coman. 1 p.

§  The Smarandache-Coman function and nine conjectures on it, by Marius Coman. 3 p.

§  Cosmic Environment as Energy Source of Universe Evolution, by Stanislav I. Konstantinov, 12 p.

§  Dual-Complex Numbers and Their Holomorphic Functions, by Farid Messelmi. Department of Mathematics and LDMM Laboratory, University Ziane Achour of Djelfa, Algeria, 11 p.

 Economic Paradoxism and Meson Economics, by Gheorghe Savoiu, Vasile Dinu. In Amfiteatru Economic, 17(39), 2015, pp. 776-798.

§  Enumerating AG-Groups with a Study of Smaradache AG-Groups, by Muhammad Shah. In International Mathematical Forum, Vol. 6, no. 62, 2011, pp. 3079 – 3086.

§  The Forcing Vertex Monophonic Number of a Graph, by P. Titus, K. Iyappan. In International J. Math. Combin. Vol. 1, 2015, pp. 86-95.

§  Group Semirings Using Distributive Lattices as Semirings, by K. Jayshree, P. Gajivaradhan. In Ultra Scientist, Vol. 26(3)A, 2014, pp. 281-295.

§  Lagrange’s Property for Finite Semigroups, by K. Jayshree, P. Gajivaradhan. In Ultra Scientist Vol. 26(3)B, 2014, pp. 283-289.

§  A Note on Prime and Sequential Labeling of Finite Graphs, by Mathew Varkey T.K, Sunoj B.S. In International J. Math. Combin. Vol.1(2015), pp. 80-85.

§  On Pairs of Pythagorean Triangles –I, by M.A. Gopalan, S. Vidhyalakshmi, N. Thiruniraiselvi, R. Presenna. In Journal of Mathematics, Vol. 11, Issue 1 Ver. IV (Jan - Feb. 2015), pp. 15-17.

§  On Signed Graphs Whose Two Path Signed Graphs are Switching Equivalent to Their Jump Signed Graphs, by P. Siva Kota Reddy, P. N. Samanta, Kavita S. Permi. In International J.Math. Combin. Vol. 1, 2015, pp. 74-79.

§  On the Diameter and Girth of an Annihilating-Ideal Graph, by F. Aliniaeifard, M. Behboodi, E. Mehdi-Nezhad, Amir M. Rahimi. In Math. RA, 2014, 11 p.

§  On the quantitative effects, by Chang-Wei Hu. In International Journal of Modern Physics and Application, 2014, pp. 38-42.

§  Parameters for minimal unsatisfiability: Smarandache primitive numbers and full clauses, by Oliver Kullmann, Xishun Zhao. Computer Science Department, Swansea University, UK; Institute of Logic and Cognition, Sun Yat-sen University, P. R. China, 18 p.

§  Smarandache – R-Module and Commutative And Bounded BE-Algebras, by N. Kannappa, P. Hirudayaraj. In Asia Pacific Journal of Research, Vol. I, Issue XXI, January 2015, pp. 147-153.

§  RTL Datapath Optimization Using System-level Transformations, by Samaneh Ghandali, Bijan Alizadeh, Masahiro Fujita, Zainalabedin Navabi. Reported at 15th Int'l Symposium on Quality Electronic Design, 2014.

§  Smarandache’s Conjecture on Consecutive Primes, by Octavian Cira. In International J. Math. Combin. Vol. 4, 2014, pp. 69-91.

§  Smarandache Curves and Spherical Indicatrices in the Galilean 3-Space, by H.S. Abdel-Aziz, M. Khalifa Saad. Dept. of Math., Faculty of Science, Sohag Univ., Egypt, 2015, 13 p.

§  Smarandache Curves In Terms of Sabban Frame of Fixed Pole Curve, by Suleyman Senyurt, Abdussamet Caliskan. In Bol. Soc. Paran. Mat., 2015, pp. 53-62.

§  NC− Smarandache Curves of Mannheim Curve Couple According to Frenet Frame, by Suleyman Senyurt, Abdussamet Caliskan. In International J. Math. Combin. Vol. 1, 2015, 13 p.

§  Smarandache Fuzzy Strong Ideal and Smarandache Fuzzy n-Fold Strong Ideal of a BH-Algebra, by Shahrezad Jasim Mohammed. In International Journal of Science and Research (IJSR), Vol. 4, 2015, pp. 1516-1521.

§  Smarandache Lattice and Pseudo Complement, by N. Kannappa, K. Suresh. Mathematics Department, TBML College; Milam Engineering College, Tamil Nadu, India, 9 p.

§  Smarandache - R - Module and Morita Context, by N. Kannappa, K. Suresh. Mathematics Department, TBML College; Milam Engineering College, Tamil Nadu, India, 6 p.

§  Smarandache Soft Neutrosophic Near-Ring and Soft Neutrosophic Ideal, by N. Kannappa, B. Fairosekani. Department of Mathematics, T.B.M.L. College, Porayar, Tamil Nadu, India, 8 p.

§  Some Equivalent Conditions of Smarandache – Soft Neutrosophic-Near Ring, by N. Kannappa, B. Fairosekani. Department of Mathematics, T.B.M.L. College, Porayar, Tamil Nadu, India, 8 p.

§  On Some Characterization of Smarandache - Boolean Near-Ring With Sub-Direct Sum Structure, by N. Kannappa, P. Tamilvani. In Scientia Magna, Vol. 8, 2013, 6 p.

§  Smarandache Soft Semigroups and their Properties, by Mumtaz Ali. In Journal of New Theory, 2015, pp. 80-88.

§  Smarandache SoftGroupoids.pdf

§  Spinor Darboux Equations of Curves in Euclidean 3-Space, by Ilim Kisi, Murat Tosun. In Mathematica Moravica, Vol. 19-1, 2015, pp. 87–93.

§  Surfaces Family with Common Smarandache Asymptotic Curve According To Bishop Frame in Euclidean Space, by Gulnur Saffak Atalay, Emin Kasap. In Bol. Soc. Paran. Mat., Vol. 34, 2015, pp. 187–202.

§  Mathematics After CC Conjecture. Combinatorial Notions and Achievements, by Linfan Mao. In Math. Combin. Book Ser., Vol. 2 (2015), pp. 1-31.

§  Some Results on Total Mean Cordial Labeling of Graphs, by R. Ponraj and S. Sathish Narayanan. In Math. Combin. Book Ser., Vol. 2 (2015), pp. 122-132.

Smarandache-R-Module and Morita Context, by N. Kannappa, P. Hirudayaraj In Math. Combin. Book Ser., Vol. 2 (2015), pp. 55-60.

Scientific Abstracts 

 

Ph D Theses

Contributions to intelligent control of autonomous robots equipped with multi-sensors systems, by Victor Vladareanu, Universitatea Politehnica din Bucuresti, 2014.  [Versiune romaneasca]

Studies on finite semigroups, semigroup semirings, group semirings on semirings as distributive lattices, PhD Thesis by Jayshree K., University of Madras, India, 2016, 219 p.