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Essays and articles about modern physics, speculations in science, pseudo-science and the alleged incompatibility between God and modern science

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Studies the pitfall and paradoxes of inflation theory, including big-bang, dark energy, and dark matter. We know car will not drive on frictionless surface. Space has no surface and completely frictionless. It will not carry anything along, even if space could expand. Invisible matter, normal or dark, has to be felt since it has to occupy space. Normal matter would not move freely in space occupied by dark matter and dark energy. If there is interaction between normal and dark, it will be shown by normal matter. It is meaningless if there is no interaction. Only SPACE can occupy same space with matter without interaction, isn't it? ...

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If you are riding on a craft, it will not carry you away if you there is no friction between you and the craft. Space is completely frictionless. It has no surface, and can only be regarded as absolute zero viscosity. Expansion of the space, if possible, will not drag anything along. It would just flow through and zip away by itself....

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Contents Abstract i Contents ii List of Figures iii List of Tables iii 1 Introduction 1 2 Paradox of Space Expansion 5 3 Real Life Analogy of Inertia in Expanding Space 9 4 Paradox of Redshift & Expanding Space 4.1 Real Life Analogy of Radiation Trap 5 Paradox of Constant Pulsating Quasars in Expanding Space 6 Conclusion 7 Appendix - A Brief Experiment of Space 7.1 Space and Vacuum 7.2 Space and Friction 7.3 Space and Motion 7.4 Space and Expansion 7.5 Space and Compression 7.6 Space and Energy 7.7 Summary 8 Appendix - Mind-Bending Questions References...

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Information is only the description of the event, not the source event. When continuous information are sent from different locations, and the observer is moving from place to place; It would not necessarily reach the receiver in same order and interval initiated by the event....

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The issue is, sometime we can not separate the event and it's information, and even fooled by it.

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Abstract Contents List of Figures List of Tables 1 Introduction 1 2 Event and Information 2.1 Information and Virtual Reality 3 Event and Information Analogy 4 Information Transport Analogy 4.1 Approaching Pitcher 4.2 Departing Ball Pitcher 4.3 Dynamic of Moving Pitcher 5 Dynamic Observation Simulation 6 Summary References...

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A BRIEF HISTORY OF EVERYTHING: Quarks, Leptons and the Big Bang is a clear, readable and self – contained introduction to chaos of physics and related areas of science. It bridges the gap and addresses the questions that are of interest to us all or at least to all of us reading this book and lead us to study science in the first place. The book concentrates on presenting the subject from the understanding perspective of physics and brings the reader right up to date with curious aspects of physics established over the last few centuries. Necessary background information on physics is included but advanced mathematics is avoided. The book assumes science a journey not a destination and the advance of knowledge is an infinite progression towards a goal that forever recedes. This book will be of interest to students, teachers and general science readers interested in fundamental ideas of physics. ...

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In the first chapter of this book we discuss Einstein’s thought experiment with atomic clocks.

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Preface (Many Relativities ) In the first chapter of this book we discuss Einstein’s thought experiment with atomic clocks: A rocket travels at a constant speed v with respect to the earth. In the rocket, a light pulse is emitted by a source from A to a mirror B that reflects it back to A where it is detected. The rocket’s movement and the light pulse’s movement are orthogonal. There is an observer in the rocket (the astronaut) and an observer on the earth. The trajectory of light pulse (and implicitly the distance traveled by the light pulse), the elapsed time it needs to travel this distance, and the speed of the light pulse at which is travels are perceived differently by the two observers {depending on the theories used in this book}....

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C O N T E N T S Preface (Many Relativities): 7 Chapter 1. On Einstein’s Thought Experiment with the Light Clocks: 19 1.1. Einstein’s Thought Experiment with the Light Clocks: 20 1.2. Relativistic Addition of Velocities: 23 1.3. Counter-Intuitive Results of the Relativistic Addition of Velocities: 23 1.4. Contradictory Results of the Relativistic Addition of Velocities: 24 1.5. Relativistic Addition of Superluminal Velocities: 26 1.6. Extension of Relativistic Formula for the Addition of Many Subluminal Velocities: 27 1.7. Generalization of Einstein’s Thought Experiment with the Light Clocks for Arbitrary Ultimate Velocity K: 35 1.8. Generalization of the Relativistic Addition Formula for Arbitrary Ultimate Velocity K: 37 1.9. Generalized Lorentz Factor: 39 1.10. Generalized Minkowski Norm: 39 1.11. Generalized Time Dilation: 39 1.12. Generalized Length Contraction: 40 1.13. Generalized Relativistic Momentum: 40 1.14. Generalized Energy: 40 1.15. The Generalized Total Energy: 40 1.16. Generalized Kinetic Energy: 41 Chapter 2. A Hypothesis: There is No Speed Barrier in the Universe and One Can Construct Arbitrary ...

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In this current article we are analyzing in detail, T-symmetry (time reversal transformation) and P-symmetry (spatial inverse transformations) phenomenons in Armenian Theory of Relativity in one dimensional physical space. For that purpose we are referring and using our previous articles results, especially in the case of research mirror reflection phenomena (spatial inversion) where we are mostly referring to our main research article, published in Armenia on June 2013 (96 pages). We are delighted to know that Armenian Theory of Relativity has passed the first phase of total ridicule and now is in the phase of active discussion in scientific communities across the world. This article can be considered as an answer to the physicists who criticize the Armenian Theory of Relativity by saying that the Armenian relativistic transformations and formulas are not an invariant under time-reversal transformation and therefore Armenian Theory of Relativity is wrong. In the first section of our article we are showing that in the case of time-reversal, Armenian Theory of Relativity is in full agreement with legacy physics and therefore...

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Abstract Introduction Only Time Reversal Phenomena Consideration Definition of Opposite Inertial Systems Only Space Reversal Phenomena Consideration Conclusions References...

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Florentin Smarandache a lansat un nou gen literar-artistic, adaptat cerinţelor cititorului şi scriitorului contemporan grăbit, numit FOTOJURNAL INSTANTANEU bazat pe abundenţa de imagini corespunzătoare textului, plus scrierea directă, rapidă, la prima mȃnă, pe locul vizitei, cu verbe puţine, şi exprimări scurte, neşlefuite. Smarandache launched a new literary genre, artistic, adapted to the contemporary reader and writer hurriedly called INSTANT FOTOJURNAL appropriate image based on the abundance of text, plus direct writing, fast at first mȃnă on the site visit, with fewer verbs and expressions short, unpolished....

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08.07.2010 Viaţa în Franţa e mai lejeră. În America e mai stresantă. Am scris pe foaia de lichidare că mi ar plăcea să revin în Fran-ţa ca lucrător (cercetător sau profesor la vreo Universitate). Cei de la HAL (prescurtare de la Hyper Articles en Ligne – Articole în exces online; este o arhivă deschisă gesti-onată de către Centrul pentru Comunicarea Ştiinţifică Directă, din Franţa) pretind că au o arhivă deschisă tuturor savanţilor, dar nu este deloc liberă, cum ar trebui. Articolele mele de matematică tradiţiona-lă (nu de avangardă, cum mi-e stilul) aşteaptă cu săptămânile pentru a fi validate. Cele de fizică sunt respinse (de exemplu, unul despre nematerie – unmatter, în engleză): imediat. 08.07.2010     Life in France is lighter. In America's most stressful. I wrote the winding sheet that I would like to return to Fran-ce as a worker (researcher or professor at a university).     Most of the HAL (short for Hyper Articles en Ligne - Online Articles excess, is an open archive pol-Onate by the Centre for Direct Scientific Communication, France) claim to have an archive open to all scientists, but it is not free , as it ...

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Prefaţă, de Mircea Monu ………………………………… 4 Călătorul călătorului, eseu de George Anca …………… 9 FRANŢA (la Brest) ……………………………………… 12 UNGARIA (la Pécs) …………………………………… 41 FRANŢA (la Brest, Carnac şi la Paris) ………………… 51 ANGLIA (la Londra) …………………………………… 96 SCOŢIA (la Edinburg) ………………………………… 137 În loc de postfaţă ………………………………………… 165...

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În anul 1972 Florentin Smarandache prezentase o ipoteză supraluminala (prin care susţinea că nu există barieră a vitezei în univers), infirmând postulatul einsteinian. Autorul l-a contrazis din nou pe Einstein în 1982 construind, prin calcule matematice simple, o Teorie Absolută a Relativităţii (T.A.R.), din care erau înlăturate fanteziile ştiinţifice din Teoria Specială a Relativităţii precum dilatare a timpului, contractare a spaţiului, simultaneitate relativistă, sau paradoxuri relativiste. In 1972 Smarandache hypothesis provided a warp (which claims that there is speed barrier in the universe), refuting Einsteinian postulate. Author Einstein contradicted again in 1982 built by simple math, an Absolute Relativity Theory (ART), which were removed scientific fantasies special theory of relativity and time dilation, space contraction, relativistic simultaneity, or paradoxes relativistic....

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„Neutrosofia” deschide uşi noi în matematică şi în fizică Florentin Smarandache, şef de promoţie al Facultăţii de Matematică din Craiova, nu este doar matematician, ci şi scriitor (poet, prozator, dramaturg), întemeietor al mişcării literare de avangardă numită de el „Paradoxism” (pentru că utilizează în mod programmatic paradoxuri, antiteze, oximoroane), editând şase antologii internaţionale paradoxiste. Are contribuţii şi în alte ştiinţe (filozofie şi fizică), bazate pe aplicarea paradoxismului în ştiinţă. Pornind de la faptul că pentru o entitate „A” există nu doar opusul ei, „antiA”, ci şi neutrul ei, „neutA” (care nu este nici „A”, nici „antiA”), Florentin Smarandache a generalizat „Dialectica” (un capitol al filozofiei, bazat pe existenţa „contrariilor” – „A” şi „antiA”) în „Neutrosofie” (bazată pe existent „contariilor” şi a „neutraliilor”). ...

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22 septembrie 2011: CERN confirmă primul experiment supraluminal - Smarandache Hypothesis, by Philip M. Parker .. . 7 - Un cercetător român a dedus existenţa particulelor cu vitezele supraluminale descoperite recent la CERN, de Prof. Ion Pătraşcu.......... 8 - Un cercetător român postulase că viteza luminii poate fi depăşită, înaintea descoperirii făcute de CERN, de Ichim Vasilică .......... 13 - Profet în Ţara Fizicii: Smarandache confirmat, Einstein infirmat?! de Mircea Monu, fizician....23 - Follow-up on CERN's OPERA Neutrino Results, by Huping Hu & Maoxin Wu ........ 34 04-11 noiembrie 2011: Participare la Conferinţa Internaţională IEEE de Calcul Granular, Universitatea Kaohsiung, Taiwan, cu lucrări despre Logica Neutrosofică - Florentin Smarandache duce neutrosofia şi în Taiwan!, de M. Monu .......... 37 18 noiembrie 2011: Premiul Statului New Mexico la categoria Ştiinţă şi Matematică în Albuquerque - Renaissance Man, Shondiin Silversmith ... . 46 - Un profesor român a câştigat Premiul statului New Mexico (SUA) la Ştiinţă şi Matematică pe anul 2011, de Prof. Mircea Eugen Şelariu ......... 48 premiul statului New M...

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Author’s imagination of how would look the physical micro-universe using composed, found, changed, modified, alternated, or computer-programmed art works. These images are part of a series of about 100 cyberart creations representing the unimaginable little word of physics particles, anti-particles, un-particles that compose the matter, anti-matter, and un-matter....

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Electronic Art (forward): 4 QUANTUM: 5 …micro-universe images QUANTUM THEORY: 23 …micro-universe images QUANTIZATION: 39 …micro-universe images QUANTUM NUMBERS: 56 …micro-universe images QUANTUM MECHANICS: 72 …micro-universe images GENERALIZATION OF SCHRÖDINGER EQUATION: 88 …micro-universe images...

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A line of thought explored herein is the correspondence between cosmological phenomena and condensed matter physics, and therefore we can think that the quantization of orbit distances can be caused by superfluid helium quantization. This issue is explored by F. Smarandache and V. Christianto. Moreover, F. Smarandache also discusses possible new era of research that is pertaining to superluminal physics and instantaneous physics. Ion Patrascu and D. Rabounski discuss superluminality from their perspectives. And M. Pereira discusses his Hypergeometrical Universe model....

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Preface III Contents IV Planetary orbits in Solar and Extrasolar systems (A. Rubcic & J. Rubcic) Fizika A, 19 no.3, 2010...................1 Areal velocities of planets and their comparison (P. Pintr, V. Per\inova% , A. Luks\) unpubl. 2011...................15 Distribution of distances in solar system (P. Pintr, V. Perinova , A. Luks) Chaos , Soliton, Fractals 2007...................27 New cosmological model of universe and possible quantization of the Hubble parameter (P.Pintr) unpublished paper, Dec. 2011...................39 Do we really understand the solar system? (M. Pitkanen) Nov. 27th 2011...................50 Inflation and TGD (M. Pitkanen) Dec. 10th 2011...................70 QCD and TGD (M. Pitkanen) Dec. 19th 2011...................78 Quantum arithmetics and the relationship between real and p-adic physics (M. Pitkanen) Dec. 12th 2011...................94 A blind pilot: who is super-luminal observer? (D. Rabounski) Progress in Physics Vol.2, 2008................126 Scientist deduced the existence of particles with faster-than-light speeds recently discovered by CERN. (I. Patrascu) Progress in Physics Vol.4, 20...

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The scholastic psychunlogy is the part of psychunlogy that studies the multiple aspects of the influence of the disorganized education practiced in schools, of the misprocesses resulted from the educational intervention with the psychological laws of the children’s education and instruction, of unlearning, of lifestyle deformation, and students’ personalities in the misprocess of educational instruction. Along with the child psychunlogy, the scholastic psychunlogy constitutes the principal source of misinformation and fundament of the science of parapedagogy. With this booklet, this unauthor introduces a new literary-scientific genre called psychological science fiction as part of the PARADOXISM movement in literature and science....

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The separation of psychunlogy from philosophy and its deformation as an autonomous science takes place, especially as a result of the great regresses registered in some of the unnatural sciences such as biology (the anatomy and biology of the nervous system, the neuronvegetative and endocrine systems, senses organs), and physics (the science that proved the possibility of mess-experimentations and non-objective and relative exact measurements)....

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Psychological Science Fiction (Unpreface) ................. 3 Table of Contents .................................. 4 Chapter 1 – The non-object and the psychunlogy’s problems .......... 7 The science of psychunlogy .............................. 7 The psychic, brain’s malfunction, non‐objective reflection of the non‐objective world ....... 7 The psychic misprocess of cognition .......................... 11 The psychic characteristics .............................. 12 The object of the scholastic psychunlogy ........................ 12 Chapter 2 – The unconscious psychic activity ............... 14 The conscienceless notion .............................. 14 The principal malfunctions of the conscienceless ..................... 15 The conscienceless dimensions ............................ 15 Self‐conscienceless (self‐awarenessless) ....................... 16 The collective self‐conscienceless (self‐awarenessless) .................. 16 The levels of disorganization of the psychic inhuman activities ................ 16 The psychic development in autogenesis ........................ 17 The factors of psychic’s non‐develop...

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The question is, will we ever know if there are objects outside of the detectable universe radiating in wave length longer than CBR? We only measure the universe with visual radiations. Doesn't it seem that the age of the universe is determined by the size of our telescope? Nevertheless, there are activities of elementary particles which can not be detected by us? Isn't' it impossible to picture how far some active objects, say neutrinos, can be other than infinite. ...

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Suppose we have perfect telescope that is limitless in range; And, we don't see anything when we look pass all objects; Can we say we have reached the edge of the Space or Universe? Or, there is infinity beyond Space? ...

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1 Introduction 1 2 Probability Function of Doppler Effect 3 NED’s Redshift Survey Database 4 Estimate Age of The Universe Based On NED Database 5 Cosmic Background Radiation 6 Can We Really Tell The Size & Age of The Universe? 7 Appendix II: Accumulated Probability Distribution References...

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Aims and Scope: The International J.Mathematical Combinatorics (ISSN 1937-1055) is a fully refereed international journal, and published quarterly comprising 100-150 pages approx. per volume, which publishes original research papers and survey articles in all aspects of Smarandache multi-spaces, Smarandache geometries, mathematical combinatorics, non-euclidean geometry and topology and their applications to other sciences. Topics in detail to be covered are: Smarandache multi-spaces with applications to other sciences, such as those of algebraic multi-systems, multi-metric spaces,. . . , etc.. Smarandache geometries; Differential Geometry; Geometry on manifolds; Topological graphs; Algebraic graphs; Random graphs; Combinatorial maps; Graph and map enumeration; Combinatorial designs; Combinatorial enumeration; Low Dimensional Topology; Differential Topology; Topology of Manifolds; Geometrical aspects of Mathematical Physics and Relations with Manifold Topology; Applications of Smarandache multi-spaces to theoretical physics; Applications of Combinatorics to mathematics and theoretical physics; Mathematical theory on gravitatio...

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Duality Theorems of Multiobjective Generalized Disjunctive Fuzzy Nonlinear Fractional Programming Abstract: This paper is concerned with the study of duality conditions to convex-concave generalized multiobjective fuzzy nonlinear fractional disjunctive programming problems for which the decision set is the union of a family of convex sets. The Lagrangian function for such problems is defined and the Kuhn-Tucker Saddle and Stationary points are characterized. In addition, some important theorems related to the Kuhn-Tucker problem for saddle and stationary points are established. Moreover, a general dual problem is formulated together with weak; strong and converse duality theorems are proved. Key Words: Generalized multiobjective fractional programming; Disjunctive programming; Convexity; Concavity; fuzzy parameters Duality. ...

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Contents Duality Theorems of Multiobjective Generalized Disjunctive Fuzzy Nonlinear Fractional Programming BY E.E.AMMAR . . . . . . . . . . . . . . . . . . . . 01 Surface Embeddability of Graphs via Joint Trees BY YANPEI LIU. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .15 Plick Graphs with Crossing Number 1 BY B.BASAVANAGOUD AND V.R.KULLI . . . . . . . . . . . . . . . . . . . . . . 21 Effects of Foldings on Free Product of Fundamental Groups BY M.El-GHOUL, A. E.El-AHMADY, H.RAFAT AND M.ABU-SALEEM. . . . . . . 29 Absolutely Harmonious Labeling of Graphs BY M.SEENIVASAN AND A.LOURDUSAMY . . . . . . . . . . . . . . . . . . . . 40 The Toroidal Crossing Number of K4n BY SHENGXIANG LV, TANG LING AND YUANGQIU HUANG . . . . . . . . . . 52 On Pathos Semitotal and Total Block Graph of a Tree BY MUDDEBIHAL M. H. AND SYED BABAJAN. . . . . . . . . . . . . . . . . . 64 Varieties of Groupoids and Quasigroups Generated by Linear-Bivariate Polynomials Over Ring Zn BY E.ILOJIDE, T.G.JAIYEOLA AND O.O.OWOJORI . . . . . 79 New Characterizations for Bertrand Curves in Minkowski 3-Space BY BAHADDIN BUKCU, MURAT K...

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By using the principle of relativity (first postulate), together with new defined nature of the universal speed (our second postulate) and homogeneity of time-space (our third postulate), we derive the most general transformation equation of relativity in one dimensional space. According to our new second postulate, the universal (not limited) speed c in Armenian Special Theory of Relativity is not the actual speed of light but it is the speed of time which is the same in all inertial systems. Our third postulate: the homogeneity of time-space is necessary to furnish linear transformation equations. We also state that there is no need to postulate the isotropy of space. Our article is the accumulation of all efforts from physicists to fix the Lorentz transformation equations and build correct and more general transformation equations of relativity, which obey the rules of logic and fundamental group laws, without internal philosophical and physical inconsistencies....

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ABSTRACT INTRODUCTION ARMENIAN RELATIVISTIC KINEMATICS ARMENIAN RELATIVISTIC DYNAMICS REFERENCES

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Aims and Scope: The International J.Mathematical Combinatorics (ISSN 1937-1055) is a fully refereed international journal, and published quarterly comprising 100-150 pages approx. per volume, which publishes original research papers and survey articles in all aspects of Smarandache multi-spaces, Smarandache geometries, mathematical combinatorics, non-euclidean geometry and topology and their applications to other sciences. Topics in detail to be covered are: Smarandache multi-spaces with applications to other sciences, such as those of algebraic multi-systems, multi-metric spaces,. . . , etc.. Smarandache geometries; Differential Geometry; Geometry on manifolds; Topological graphs; Algebraic graphs; Random graphs; Combinatorial maps; Graph and map enumeration; Combinatorial designs; Combinatorial enumeration; Low Dimensional Topology; Differential Topology; Topology of Manifolds; Geometrical aspects of Mathematical Physics and Relations with Manifold Topology; Applications of Smarandache multi-spaces to theoretical physics; Applications of Combinatorics to mathematics and theoretical physics; Mathematical theory on gravitatio...

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x4: Radio labeling of P3n for n is less than or equal to 5 or n = 7 In this section we determine radio numbers of cube path of small order as a special case....

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Aims and Scope: The International J.Mathematical Combinatorics (ISSN 1937-1055) is a fully refereed international journal, and published quarterly comprising 100-150 pages approx. per volume, which publishes original research papers and survey articles in all aspects of Smarandache multi-spaces, Smarandache geometries, mathematical combinatorics, non-euclidean geometry and topology and their applications to other sciences. Topics in detail to be covered are: Smarandache multi-spaces with applications to other sciences, such as those of algebraic multi-systems, multi-metric spaces,. . . , etc.. Smarandache geometries; Differential Geometry; Geometry on manifolds; Topological graphs; Algebraic graphs; Random graphs; Combinatorial maps; Graph and map enumeration; Combinatorial designs; Combinatorial enumeration; Low Dimensional Topology; Differential Topology; Topology of Manifolds; Geometrical aspects of Mathematical Physics and Relations with Manifold Topology; Applications of Smarandache multi-spaces to theoretical physics; Applications of Combinatorics to mathematics and theoretical physics; Mathematical theory on gravitatio...

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Contents Tangent Space and Derivative Mapping on Time Scale BY EMIN ¨OZYILMAZ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 01 Basic Properties Of Second Smarandache Bol Loops BY T.G.JA´IY´E O. L´A . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .11 Smarandachely Precontinuous maps and Preopen Sets in Topological Vector Spaces BY SAYED ELAGAN. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 Path Double Covering Number of Product Graphs BY A. NAGARAJAN, V. MAHESWARI, S. NAVANEETHAKRISHNAN. . . . . . 27 Some Remarks on Fuzzy N-Normed Spaces BY SAYED ELAGAN. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39 σ-Coloring of the Monohedral Tiling BY M. E. BASHER . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46 The Forcing Domination Number of Hamiltonian Cubic Graphs BY H.ABDOLLAHZADEH AHANGAR AND PUSHPALATHA L. . . . . . . . . . 53 Permutation Polynomials modulo n, n 6= 2w and Latin Squares BY VADIRAJA BHATTA G. R. and SHANKAR B. R. . . . . . . . . . . . . . . . . 58 Graphoidal Tree d - Cover BY S.SOMASUNDARAM, A.NAGARAJAN AND G.MA...

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Aims and Scope: The International J.Mathematical Combinatorics (ISSN 1937-1055) is a fully refereed international journal, and published quarterly comprising 100-150 pages approx. per volume, which publishes original research papers and survey articles in all aspects of Smarandache multi-spaces, Smarandache geometries, mathematical combinatorics, non-euclidean geometry and topology and their applications to other sciences. Topics in detail to be covered are: Smarandache multi-spaces with applications to other sciences, such as those of algebraic multi-systems, multi-metric spaces,. . . , etc.. Smarandache geometries; Differential Geometry; Geometry on manifolds; Topological graphs; Algebraic graphs; Random graphs; Combinatorial maps; Graph and map enumeration; Combinatorial designs; Combinatorial enumeration; Low Dimensional Topology; Differential Topology; Topology of Manifolds; Geometrical aspects of Mathematical Physics and Relations with Manifold Topology; Applications of Smarandache multi-spaces to theoretical physics; Applications of Combinatorics to mathematics and theoretical physics; Mathematical theory on gravitatio...

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On (∈ vq)-Fuzzy Bigroup Abstract: In this paper, we introduce the concept of fuzzy singleton to bigroup, and uses it to define (∈ v q)- fuzzy bigroup and discuss its properties. We investigate whether or not the fuzzy point of a bigroup will belong to or quasi coincident with its fuzzy set if the constituent fuzzy points of the constituting subgroups both belong to or quasi coincident with their respective fuzzy sets, and vise versa. We also prove that a fuzzy bisubset μ is an (∈ vq)-fuzzy subbigroup of the bigroup G if its constituent fuzzy subsets are (∈ vq)-fuzzy subgroups of their respective subgroups among others. Key Words: Bigroups, fuzzy bigroups, fuzzy singleton on bigroup, (∈ vq)- fuzzy subgroups, (∈ vq)- fuzzy bigroup ...

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Contents On (∈ vq)- Fuzzy Bigroup BY AKINOLA L.S. and AGBOOLA A.A.A. . . . . . . . . . . . . . . . . . . . . . . . . . . 01 Connectivity of Smarandachely Line Splitting Graphs BY B.BASAVANAGOUD and VEENA MATHAD . . . . . . . . . . . . . . . . . . . . . . 08 Separation for Triple-Harmonic Di?erential Operator in Hilbert Space BY E.M.E.ZAYED and S.A.OMRAN . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 Classification of Differentiable Graph BY A. El-Abed . . . . . . . . . . . . . . . . . 24 On Equitable Coloring of Helm Graph and Gear Graph BY KALIRAJ.K and VERNOLD VIVIN.J . . . . . . . . . . . . . . . . . . . . . . . . . . 32 On the Roman Edge Domination Number of a Graph BY K. EBADI, E. KHODADADI and L. PUSHPALATHA. . . . . . . . . . . . . . . . . . 38 The Upper Monophonic Number of a Graph BY J.JOHN and S.PANCHALI . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46 Some Results on Pair Sum Labeling of Graphs BY R. PONRAJ, J.VIJAYA XAVIER PARTHIPAN and R.KALA . . . . . . . . . . . . . . 53 Weierstrass Formula for Minimal Surface in the Special Three-Dimensional Kenmotsu Manifold K with _-...

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This book will take you on a journey, through the eyes and minds of two unlikely heroes. These two amazing, inventive & creative young souls find adventure & create solutions through the use of mathematics, "Om technology", and sharo-logical edutainment as well as creating a multitude of "Harmless but helpful inventions that assist themselves & those that they meet. These heroes make friends where ever they may go while solving many of what some may call "the worlds problems" along the way. This dynamic duo as well as their amazing group of friends find as much joy in Action sports as they do in listening to all of the great adventures of people that have been alive many more years then them. Love, respect, caring, self-confidence,responsibility and joy are the tools of their trade, and they believe that all people can be truly amazing! Get your copy of "An Essential Book of Good" here today so you can feel, and be even more amazing today!...

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"There were no great walls that could stop a free thinking minds path". One just has to simply do the math, create a plan and then just actually commit, and then do whatever the task". "If one was to study the magic of Mathematics or the physics of lifting off, one could create solutions to even inventing a flying skate-snow or surfboard that levitates effortlessly without even the slightest of sounds"....

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Introduction 1) Essential Fabric & Style 2) Fish Faith 3) Life Keys for you & me 4) A Gift for you 5) Then and Now 6) Strange Days 7) Dream Seeds 8) The Great Storm 9) A Brand New Day 10) A friend in Need is a Friend Indeed 11) Success with Persistence ~ The Golden Envelope...

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Aims and Scope: The International J.Mathematical Combinatorics (ISSN 1937-1055) is a fully refereed international journal, and published quarterly comprising 100-150 pages approx. per volume, which publishes original research papers and survey articles in all aspects of Smarandache multi-spaces, Smarandache geometries, mathematical combinatorics, non-euclidean geometry and topology and their applications to other sciences. Topics in detail to be covered are: Smarandache multi-spaces with applications to other sciences, such as those of algebraic multi-systems, multi-metric spaces,. . . , etc.. Smarandache geometries; Differential Geometry; Geometry on manifolds; Topological graphs; Algebraic graphs; Random graphs; Combinatorial maps; Graph and map enumeration; Combinatorial designs; Combinatorial enumeration; Low Dimensional Topology; Differential Topology; Topology of Manifolds; Geometrical aspects of Mathematical Physics and Relations with Manifold Topology; Applications of Smarandache multi-spaces to theoretical physics; Applications of Combinatorics to mathematics and theoretical physics; Mathematical theory on gravitatio...

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Extending Homomorphism Theorem to Multi-Systems Abstract: The multi-laterality of WORLD implies multi-systems to be its best candidate model for ones cognition on nature, which is also included in an ancient book of China, TAO TEH KING written by Lao Zi, an ancient philosopher of China. Then how it works to mathematics, not suspended in thought? This paper explains this action by mathematical logic on mathematical systems generalized to Smarandache systems, or such systems with combinatorial structures, i.e., combinatorial systems, and shows how to extend the homomorphism theorem in abstract algebra to multi-systems or combinatorial systems. All works in this paper are motivated by a combinatorial speculation of mine which is reformed on combinatorial systems and can be also applied to geometry. Key Words: Homomorphism theorem, multi-system, combinatorial system. ...

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Contents Extending Homomorphism Theorem to Multi-Systems BY LINFAN MAO . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 01 A Double Cryptography Using the Smarandache Keedwell Cross Inverse Quasigroup BY T. G. JA´IY´EOL´A . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28 On the Time-like Curves of Constant Breadth in Minkowski 3-Space BY SUHA YILMAZ AND MELIH TURGUT. . . . . . . . . . . . . . . . . . . . . 34 On the Basis Number of the Strong Product of Theta Graphs with Cycles BY M.M.M. JARADAT, M.F. JANEM AND A.J. ALAWNEH. . . . . . . . . . . .40 Smarandache Curves in Minkowski Space-time BY MELIH TURGUT AND S¨UHA YILMAZ . . . . . . . . . . . . . . . . . . . . . 51 The Characterization of Symmetric Primitive Matrices with exponent n − 3 BY LICHAO, HUANGFU AND JUNLIANG CAI . . . . . . . . . . . . . . . . . . 56 The Crossing Number of the Circulant Graph C(3k − 1; {1, k}) BY JING WANG AND YUANQIU HUANG. . . . . . . . . . . . . . . . . . . .79 On the Edge Geodetic and k-Edge Geodetic Number of a Graph BY A.P. SANTHAKUMARAN AND S.V. ULLAS CHANDRAN. . . . . . . . . .85 Simple Path Cove...

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Creaţia este un risc Prefaţă Cei care construiesc şi cei care se căsătoresc nu sunt niciodată în siguranţă, sună un proverb suedez. Deci creaţia, care este o c-o-n-s-t-r-u-c-ţ-i-e, presupune un risc, atrăgând prieteni dar şi duşmani, şi lăsând o a treia categorie de oameni indiferenţi (ca-n logica neutrosofică). În a doua jumătate a vieţii producţia-mi literară s-a redus în cantitate, eu fiind absorbit în (şi sponsorizat pentru) creaţia ştiinţifică aplicată (matematică folosită în inginerie, robotică, medicină, aeronautică, sau încercări sporadice de fizică teoretică). În afara unor autotraduceri, şi-acelea înaintând greu din lipsă de timp, iar în domeniul plastic al ‘artei electronice’ (pe computer), mai scriu ca “literatură” doar memoriile despre diversele conferinţe ştiinţifice internaţionale la care sunt invitat să prezint lucrări de cercetare ori seminarii. Memorii care, de fapt, sunt nişte reportaje, îmbinate cu expunerea de idei şi teorii ştiinţifice, documentarii istorice, geografice, filozofice, antropologice, religioase, artistice, etc. de la diversele muzee, galerii de artă, monumente şi locuri culturale ...

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Cifrele au început să vibreze mi-am încărcat buzunarele cu cifre şi pătrate şi am vâslit hoinar pe drumuri la fiecare colţ al liniei curbe a vieţii aruncam cu cercuri şi triunghiuri în mulţime şi ele rezonau cu cifre am pavat şoseaua iar sub paşii mei au început să vibreze când mi-am umplut plămânii de ele s-au convertit în litere şi am descins pe drumul poeziei...

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Prefaţă: Creaţia este un risc: 5 INTERVIURI: 6 Legătura dintre paradoxism şi Teoria Dezert-Smarandache (Interviu cu Flavia Teoc): 7 Exil sau diasporă? (Interviu cu Silvia Constantinescu): 11 God does play dice! (Interview with Ovidiu Bufnilă): 21 “Totul este posibil, chiar şi imposibilul!” (Interviu cu Tudor Negoescu): 22 Literatura şi ştiinţa experimentală (Interviu cu Adrian Lesenciuc): 28 Gândirea pozitivistă (Interviu cu Gabriel Stănescu): 33 "Rămân emigranţii fideli valorilor culturii de origine?” (Chestionar de Gabriel Stănescu): 36 O luptă permanentă cu viaţa (Interviu cu Crenguţa Ţolea): 38 A fi sau a nu fi paradoxist (Taifas electronic cu Mircea Monu): 47 Nichita versus Florentin (Dialog cu M. N. Rusu): 55 Paradoxism şi (Aut-)Artă: o nouă (dez)ordine culturală? (Interviu cu Mugur Grosu şi Mircea Ţuglea): 56 SCURTE ESEURI: 86 Aut-Artă: 87 Ab ovo: 89 Un Om şi-o Operă (Aurel M. Buricea la 65 de ani): 91 Pasiunea de Dascăl şi Creator: 92 Prolificitatea Profesorului Bencze: 94 Aniversare Alpha: 95 Nuvele serioase în neseriozitatea lor: 96 La frontiera onirismului: 99 Un nou gen literar: 100 Vorbe de duh: 1...