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Smarandache, F. (2013). Multispace & Multistructure Neutrosophic Transdisciplinary : 100 Collected Papers of Sciences : Volume 4. Retrieved from http://www.gutenberg.us/

Description
The fourth volume, in my book series of “Collected Papers”, includes 100 published and unpublished articles, notes, (preliminary) drafts containing just ideas to be further investigated, scientific souvenirs, scientific blogs, project proposals, small experiments, solved and unsolved problems and conjectures, updated or alternative versions of previous papers, short or long humanistic essays, letters to the editors

Summary
This is an eclectic tome of 800 pages with papers in various fields of sciences, alphabetically listed, such as: astronomy, biology, calculus, chemistry, computer programming codification, economics and business and politics, education and administration, game theory, geometry, graph theory, information fusion, neutrosophic logic and set, non-Euclidean geometry, number theory, paradoxes, philosophy of science, psychology, quantum physics, scientific research methods, and statistics.

Excerpt
This short technical paper advocates a bootstrapping algorithm from which we can form a statistically reliable opinion based on limited clinically observed data, regarding whether an osteo-hyperplasia could actually be a case of Ewing’s osteosarcoma. The basic premise underlying our methodology is that a primary bone tumour, if it is indeed Ewing’s osteosarcoma, cannot increase in volume beyond some critical limit without showing metastasis. We propose a statistical method to extrapolate such critical limit to primary tumour volume. Our model does not involve any physiological variables but rather is entirely based on time series observations of increase in primary tumour volume from the point of initial detection to the actual detection of metastases.

Table of Contents
Collected Eclectic Ideas - preface by the author.............................3
Contents....................................................6
ASTRONOMY..................................14
1. First Lunar Space Base, project proposal, by V. Christianto, Florentin Smarandache..15
2. On Recent Discovery of New Planetoids in the Solar System and Quantization of Celestial System, by V. Christianto, F. Smarandache..................28
3. Open and Solved Elementary Questions in Astronomy, by Florentin Smarandache.. 36
BIOLOGY......................................40
4. Statistical Modeling of Primary Ewing Tumors of the Bone, by Sreepurna Malakar, Florentin Smarandache, Sukanto Bhattacharya, in in , Vol. 3, No. JJ05, 81-88, 2005................41
CALCULUS....................................53
5. A Triple Inequality with Series and Improper Integrals, by Florentin Smarandache, in Bulletin of Pure and Applied Sciences, Vol. 25E, No. 1, 215-217, 2006.........54
6. Immediate Calculation of Some Poisson Type Integrals Using SuperMathematics Circular Ex-Centric Functions, by Florentin Smarandache & Mircea Eugen....................................58
CHEMISTRY...................................68
7. Potential Use of Lime as Nitric Acid Source for Alternative Electrolyte Fuel-Cell Method, by V. Christianto, F. Smarandache.......................69
8. Observation of Anomalous Potential Electric Energy in Distilled Water under Solar Heating, by F. Smarandache & V. Christianto......................74
COMPUTER PROGRAMMING CODIFICATION..............83
9. Algebraic Generalization of Venn Diagram, by Florentin Smarandache.........84
ECONOMICS, BUSINESS, AND POLITICS.................87
10. Introduction to Poly-Emporium Theory in Economics, by V. Christianto, F. Smarandache, in Authors’ book Cultural Advantage for Cities. An Alternative for Developing Countries, InfoLearnQuest, Ann Arbor, 61 p., 2008............88
11. Global Totalitarianism and the Crisis of Neo-Lib Movement, by Florentin Smarandache; a sorter version in Author’s book Global Totalitarianism and the Working Animals, Kogaïon Editions, Bucharest, 64 p., 2008..............99
12. A Note on Exchange Rate Management and Gravity Equation: Developing Country’s Viewpoint, V. Christianto & F. Smarandache......................109
13. Salesm@xx Outline, by V. Christianto & F. Smarandache...............115
14. SalesMaxx: Step by Step Proven Techniques to Boost Your Sales, by D. Handriyanto, V. Christianto, F. Smarandache............................119
15. Cultural Advantage as an Alternative Framework: An Introduction, by F. Smarandache, V. Chrisitanto.........131
16. Conditional Probability of Actually Detecting a Financial Fraud - a Neutrosophic Extension to Benford's Law, by Sukanto Bhattacharya, Kuldeep Kumar, Florentin Smarandache, in International Journal of Applied Mathematics, Vol. 17, No 1, 7-14, 2005.....................................................................................142
17. Redesigning Decision Matrix Method with an Indeterminacy-Based Inference Process, by Jose L. Salmeron and Florentin Smarandache, in Advances in Fuzzy Sets and Systems, Vol. 1(2), 263-271, 2006; updated and under the title “Redesigning Decision Matrix Method with an Indeterminacy-based Inference Process” in , Vol. 13, No. MO8, 4-11, March 2008...................................151
EDUCATION AND ADMINISTRATION...................163
18. Elections and Evaluations of the American College / University Dean and Director, by Florentin Smarandache ................................164
19. To Deliver Free Preprint Service for Physical Sciences. A Proposal for Further Development & Introduction to www.sciprint.org, by C. Castro, F. Smarandache, V. Christianto .......................................166
GAME THEORY ................................174
20. A Group-Permutation Algorithm to Solve the Generalized SUDOKU, by Florentin Smarandache, extended version and translation from author’s book Frate cu meridianele _i paralelele, Vol. IV, OffsetColor, Rm. Vâlcea, Romania, pp. 201-202, 2008 ...........................................175
GEOMETRY ..................................178
21. Nine Solved and Nine Open Problems in Elementary Geometry, by Florentin Smarandache, extended version of some ideas from author’s books Problèmes avec et sans.. problèmes!, Somipress, Fés, Morocco, pp. 49 & 54-60, 1983, and respectively Proposed Problems of Mathematics (Vol. II), University of Kishinev Press, Kishinev,
Problem 58, pp. 38-39, 1997 ..............................179
22. Limits of Recursive Triangle and Polygon Tunnels, by F. Smarandache ........191
23. A Theorem about Simultaneous Orthological and Homological Triangles, by Ion Petra_cu and Florentin Smarandache ..........................196
24. An Application of a Theorem of Orthohomological Triangles, by Ion P_tra_cu and Florentin Smarandache ................................209
25. A Multiple Theorem with Isogonal and Concyclic Points, by Dr. Florentin Smarandache and Prof. Ion Petra Cu ..........................212
26. Properties of a Hexagon Circumscribed to a Circle, by Prof. Ion Petra_cu, Dr. Florentin Smarandache ......................................215
27. A Generalization of a Leibniz Geometrical Theorem, by Mihály Bencze, Florin Popovici, Florentin Smarandache, in , Bra_ov, Vol. 6, No. 1, 67-70, April 1998 ..........................................218
28. Generalization of the Theorem of Menelaus Using a Self-Recurrent Method, by F. Smarandache, translated from French by the author, Seminar in Rabat for the selection and preparation of the Moroccan students for the International Olympiad of Mathematics in Paris - France, 1983 ..........................223
29. The Dual Theorem Relative to the Simson’s Line, by Prof. Ion P_tra_cu, translated by Florentin Smarandache ................................227
30. De Longchamps’ Point, Line and Circle, by Ion P_tra_cu, translated by Florentin Smarandache ..................232
31. The Dual of the Orthopole Theorem, by Ion P_tra_cu, translated by Florentin Smarandache........................239
32. Super-mathematics functions, by Mircea Eugen _elariu, translated from Romanian by Marian Ni_u and Florentin Smarandache, in the album “Techno-Art of _elariu Super- Mathematics Functions”, edited by Florentin Smarandache, 132 p., A. R. Press, 2007...........................................244
GRAPH THEORY ...............................258
33. Vectored Route-Length Minimization – a Heuristic and an Open Conjecture, by Florentin Smarandache, Sukanto Bhattacharya, in New Mathematics and Natural Computing (World Scientific), Vol. 4, No. 3, 267-272, November 2008.......259
34. Graph Distance, Optimal Communication and Group stability: A preliminary Conjecture, by F. Smarandache, V. Christianto ....................266
INFORMATION FUSION ...........................270
35. An Algorithm for the Unification of Fusion Theories (UFT), by Florentin Smarandache, presented at NASA Langley Research Center, Hampton, VA, USA, November 5, 2004, as “An In-Depth Look at Information Fusion Rules and Unification of Fusion Theories”; published in International Journal of Applied Mathematics & Statistics,
Roorkee, India, Vol. 2, 1-14, 2004.....................................................271
36. Unification of Fusion Rules (UFR), by Florentin Smarandache ............285
37. Unification / Combination of Image Fusion Methods, summary by Florentin Smarandache.........................286
38. An Algorithm for Quasi-Associative and Quasi-Markovian Rules of Combination in Information Fusion, by Florentin Smarandache, Jean Dezert......287
39. Degree of Uncertainty of a Set and of a Mass, by Florentin Smarandache, Arnaud Martin............................298
40. Fusion of Masses Defined on Infinite Countable Frames of Discernment, by Florentin Smarandache, Arnaud Martin .............................299
41. A Simple Proportional Conflict Redistribution Rule, by Florentin Smarandache, Jean Dezert, in International Journal of Applied Mathematics and Statistics, Vol. 3, No. J05, 1-36, 2005........................................304
42. Uniform and Partially Uniform Redistribution Rules, by Florentin Smarandache, Jean Dezert, in Advances and Applications of DSmT for Plausible and Paradoxical Reasoning for Information Fusion, International Workshop organized by the Bulgarian IST Centre of Competence in 21st Century, Bulg. Academy of Sciences, Sofia,
Bulgaria, December 14, 2006..........................................................325
43. The Combination of Paradoxical, Uncertain and Imprecise Sources of Information based on DSmT and Neutro-Fuzzy Inference, by Florentin Smarandache, Jean Dezert; short version published in Proceedings of 10th International Conference on Fuzzy Theory and Technology (FT&T 2005), Salt Lake City, Utah, USA, July 21-26, 2005.............329
44. Importance of Sources Using the Repeated Fusion Method and the Proportional Conflict Redistribution Rules # 5 and # 6, by Florentin Smarandache and Jean Dezert.....................................349
45. A Class of DSm Conditioning Rules, by Florentin Smarandache, Mark Alford, in Proceedings of COGIS 2009 International Conference, Paris, France, 16-18 November 2009............................................355
46. Extension of Inagaki General Weighted Operators and A New Fusion Rule Class of Proportional Redistribution of Intersection Masses, by Florentin Smarandache, presented as poster at SWIFT 2008 - Skovde Workshop on Information Fusion Topics, Sweden; published in "International Journal of Artificial Intelligence", Vol. 3, No.
A09, 79-85, Autumn 2009................................363
47. Discounting Method for Multi-Criteria Decision Making (_-D MCDM), by Florentin Smarandache....................369
NEUTROSOPHIC LOGIC AND SET....................395
48. Neutrosophic Logic - A Generalization of the Intuitionistic Fuzzy Logic, by Florentin Smarandache, published as “Definition of Neutrosophic Logic – A Generalization of the Intuitionistic Fuzzy Logic”, in , University of Applied Sciences, Zittau/Görlitz, Germany, EUSFLAT 2003, 141-146, 10-12 September 2003....396
49. Neutrosophic Set – A Generalization of the Intuitionistic Fuzzy Set, by Florentin Smarandache, presented at the 2003 BISC FLINT-CIBI International Workshop on Soft Computing for Internet and Bioinformatics, University of Berkeley, USA, as the “Generalization of the Intuitionistic Fuzzy Set to the Neutrosophic Set”, December 15-
19, 2003; published in International Journal of Pure and Applied Mathematics, Vol. 24, No. 3, 287-297, 2005.......403
50. Single Valued Neutrosophic Sets, by Haibin Wang, Florentin Smarandache, Yanqing
Zhang, Rajshekhar Sunderraman ............................410
51. Strategy on T, I, F Operators. A Kernel Infrastructure in Neutrosophic Logic, by Florentin Smarandache........414
52. Toward Dialectic Matter Element of Extenics Model, by Liu Feng, Florentin Smarandache................420
53. Self Knowledge and Knowledge Communication, by Liu Feng and Florentin Smarandache ....................430
54. N-norm and N-conorm in Neutrosophic Logic and Set, and the Neutrosophic Topologies, by Florentin Smarandache, in Critical Review, Creighton University, Vol. III, 73-83, 2009.....................................436
55. n-ary Fuzzy Logic and Neutrosophic Logic Operators, by Florentin Smarandache, V. Christianto, in , Belarus, 17 (30), 1-16, 2009...........................................447
56. A Neutrosophic Description Logic, Haibin Wang, André Rogatko, Florentin Smarandache, and Rajshekhar Sunderraman, in Proceedings of 2006 IEEE International Conference on Granular Computing, edited by Yan-Qing Zhang and Tsau Young Lin, Georgia State University, Atlanta, USA, 305-308, 2006................462
57. Neutrosophic Relational Data Model, by Haibin Wang, Rajshekhar Sunderraman, Florentin Smarandache, André Rogatko, in (Society for Mathematics of Uncertainty, Creighton University), Vol. II, 19-35, 2008.......480
58. Neutrosophic Logic Based Semantic Web Services Agent, by Haibin Wang, Yan-Qing Zhang, Rajshekhar Sunderraman, Florentin Smarandache ...............505
59. Neutrosophic Notions in the Philosophical Lexicon [Russian], by Florentin Smarandache, translated into Russian by Andrei Schumann, in Philosophical Lexicon, Econompress, Minsk-Moscow, Belarus-Russia, 2008.................520
60. Neutrosophic Transdisciplinarity (Multi-Space & Multi-Structure), by Florentin Smarandache, Arhivele Statului, Filiala Vâlcea, Rm. Vâlcea, 1969; presented at _coala de Var_ - Interna ional_, Interdisciplinar_ _i Academic_, Romanian Academy, Bucharest, 6-10 July 2009...............................522
61. Neutrosophic Logic as a Theory of Everything in Logics, by Florentin Smarandache..............................525
62. Blogs on Applications of Neutrosophics and Multispace in Sciences, by Florentin Smarandache.....................528
NON-EUCLIDEAN GEOMETRY.......................549
63. Degree of Negation of an Axiom, by Florentin Smarandache..550
NUMBER THEORY..............................554
64. Generalization and Alternatives of Kaprekar’s Routine, by Florentin Smarandache, partially published in author’s book Proposed Problems of Mathematics, Vol. II, State University of Moldova Press, Kishinev, pp. 83-84, 1997................555
65. Three Conjectures and Two Open Generalized Problems in Number Theory (and Addendum), by Florentin Smarandache .........................560
66. Open Questions about Concatenated Primes and Metasequences, by Florentin Smarandache................563
67. k-Factorials, by Florentin Smarandache ........................566
68. Back and Forth Factorials, by Florentin Smarandache ..................567
69. Back and Forth Summands, by Florentin Smarandache ................569
70. A Numerical Experiment on Fermat's Theorem, by V. Christianto & F. Smarandache..............................................571
71. About Factorial Sums, by Mihály Bencze and Florentin Smarandache, in Octogon
Mathematical Magazine, Bra_ov, Romania, Vol. 15, No. 2, 810-812, 2007.......574
72. Inequalities for Integer and Fractional Parts, by Mihály Bencze, Florentin
Smarandache, in “Octogon", Vol. 14, No. 1, 206-211, 2006..............577
73. Souvenirs from the Empire of Numbers, by Florentin Smarandache ..........584
PARADOXES..................................604
74. Neutrosophic Degree of a Paradoxicity, by Florentin Smarandache ..........605
75. Neutrosophic Diagram and Classes of Neutrosophic Paradoxes, or To The Outer-Limits of Science, by Florentin Smarandache ..........................608
76. S-denying a Theory, by Florentin Smarandache ....................622
77. Five Paradoxes and a General Question on Time Traveling, by Florentin Smarandache..............................................630
PHILOSOPHY OF SCIENCE.........................632
78. On the Relation between Mathematics, Natural Sciences, and Scientific Inquiry, by V. Christianto, F. Smarandache ..............................633
79. Of Intent, Citation Game, and Scale-free Networks: A Heuristic Argument, by V. Christianto & F. Smarandache .............................650
80. Social Archive and the Role of New Media in Scientific Dissemination: A Viewpoint, by V. Christianto, F. Smarandache ...........................661
PSYCHOLOGY.................................666
81. Improvement of Weber’s and Fechner’s Laws on Sensations and Stimuli, by Florentin Smarandache, short version in Author’s paper “A Unifying Field in Logics:
Neutrosophic Logic", in , USA, Vol. 8, No. 3, 385-438, 2002; the whole issue of the MVL international journal was dedicated to neutrosophy and neutrosophic logic, neutrosopihc set, neutrosophic probability and statistics.................................667
QUANTUM PHYSICS.............................670
82. Some Unsolved Problems, Questions, and Applications of the Brightsen Nucleon
Cluster Model, by Florentin Smarandache, in Progress in Physics, Vol. 3, 2010...671
83. Introduction to Biquaternion Number, Schrödinger Equation, and Fractal Graph, by V. Christianto, F. Smarandache ..............................674
84. Numerical Result of Supersymmetric Klein-Gordon Equation. Plausible Observation of Supersymmetric-Meson, by V. Christianto1 & F. Smarandache ............681
85. Numerical Solution of Schrödinger Equation with PT-Symmetric Periodic Potential, and its Gamow Integral, by V. Christianto & F. Smarandache .............686
86. Generalized Quaternion Quantum Electrodynamics from Ginzburg-Landau Schrödinger type Equation, proposed research abstract, by V. Christianto, F. Smarandache ......................................694
87. Unleashing the Quark within: LENR, Klein-Gordon Equation, and Elementary Particle Physics, preliminary report by Florentin Smarandache & Victor Christianto .....705
88. Is There Iso-PT Symmetric Potential in Nature?, by V. Christianto & F. Smarandache
..............................................710
89. On the Meaning of Imaginary Part of Solution of Biquaternion Klein-Gordon Equation, by V. Christianto & F. Smarandache ..........................716
90. Introduction to the Mu-bit, by Florentin Smarandache, V. Christianto .........720
91. Introduction to SC-Potential, by Florentin Smarandache, Victor Christianto .....723 SCIENTIFIC RESEARCH METHODS....................727
92. A Self-Recurrence Method for Generalizing Known Scientific Results [Generalization of the Inequality of Holder, Generalization of the Inequality of Minkowsky, Generalization of an Inequality of Tchebychev], by Florentin Smarandache, translated from French by the Author, published in Author’s book "Généralisations et Généralités" [Generalizations and Generalities], Ed. Nouvelle, Fès, Morocco, 1984.........................728
93. The Neutrosophic Research Method in Scientific and Humanistic Fields, by Florentin
Smarandache .......................................732
STATISTICS..................................734
94. A General Family of Estimators for Estimating Population Mean Using Known Value of Some Population Parameter(s), by M. Khoshnevisan, Rajesh Singh, Pankaj Chauhan, Nirmala Sawan, Florentin Smarandache, in Octogon Mathematical Magazine, Vol. 16,
No. 1, 160-165, 2008...................................735
95. District Level Analysis of Urbanization from Rural-to-Urban Migration in the Rajasthan State, by J. Singh, H. Yadav, F. Smarandache....747
96. Estimation of Mean in Presence of Non Response Using Exponential Estimator, by Rajesh Singh, Mukesh Kumar, Manoj K. Chaudhary, F. Smarandache....................................758
97. A Class of Separate-Time Estimators for Population Mean in Stratified Sampling Using Known Parameters under Non-Response, by M. K. Chaudhary, R. Singh, M. Kumar, R. K. Shukla, F. Smarandache ..............................769
98. Alternatives to Pearson’s and Spearman’s Correlation Coefficients, by Florentin Smarandache, in , Vol. 3, No. S09, 47-53, Spring 2009............................................780
LETTERS TO THE EDITORS..........................789
99. Forward to Military Research, by Florentin Smarandache, in Review of the Air Force Academy, Brasov, Romania, p. 5, No. 2/2007.....................790
100. Request for Support Letters (and Addenda), by Florentin Smarandache, in , Providence, NJ, USA, Vol. 34, ISS 6, 924-925, October 1987....................................792
Biography of Scientist, Writer, and Artist Florentin Smarandache at 55 - updated and extended by Prof. Mihály Bencze ....................................792-800