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In this work the authors apply concepts of Neutrosophic Logic to the General Theory of Relativity to obtain a generalisation of Einstein’s four dimensional pseudo-Riemannian differentiable manifold in terms of Smarandache Geometry (Smarandache manifolds), by which new classes of relativistic particles and non-quantum teleportation are developed....

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1.2 The basics of neutrosophy Neutrosophy studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. It considers that every idea tends to be neutralized, balanced by ideas; as a state of equilibrium. Neutrosophy is the basis of neutrosophic logic, neutrosophic set which generalizes the fuzzy set, and of neutrosphic probability and neutrosophic statistics, which generalize the classical and imprecise probability and statistics respectively. Neutrosophic Logic is a multiple-valued logic in which each proposition is estimated to have percentages of truth, indeterminacy, and falsity in T, I, and F respectively, where T, I, F are standard or non-standard subsets included in the non-standard unit interval ] −0, 1+[. It is an extension of fuzzy, intuitionistic, paraconsistent logics. ...

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Preface of the Editor 4 Chapter 1 PROBLEM STATEMENT . THE BASICS OF NEUTROSOPHY 1.1 Problem statement 5 1.2 The basics of neutrosophy 8 1.3 Neutrosophic subjects 13 1.4 Neutrosophic logic. The origin of neutrosophy 14 1.5 Definitions of neutrosophic 16 Chapter 2 TRAJECTORIES AND PARTICLES 2.1 Einstein’s basic space-time 18 2.2 Standard set of trajectories and particles. A way to expand the set 22 2.3 Introducing trajectories of mixed isotropic/non-isotropic kind 28 2.4 Particles moving along mixed isotropic/non-isotropic trajectories 31 2.5 S-denying the signature conditions. Classification of the expanded spaces 35 2.6 More on an expanded space-time of kind IV 45 2.7 A space-time of kind IV: a home space for virtual photons 52 2.8 A space-time of kind IV: non-quantum teleportation of photons 55 2.9 Conclusions 59 Chapter 3 ENTANGLED STATES AND QUANTUM CAUSALITY THRESHOLD 3.1 Disentangled and entangled particles in General Relativity. Problem statement 61 3.2 Incorporating entangled states into General Relativity 64 3.3 Quantum Causality Threshold in General Relativity 69 3.4 Conclusions 72 Biblio...

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My improbable life. Polio, disability, crime, academic excellence, university. California 1968, LSD, Mexico, Federal police India, study music,, study meditation, 10 years of travel England, care worker, Science teacher, meditation host, wife and daughter, death but not yet! ...

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Lunch break, and Mr. McDonalds’s Physics lab is almost full, mostly girls, an’ definitely no teachers. I’m standing behind the front bench, a fish-tank on the right, my trusty assistant John on the left. Grabbing a large goldfish from the tank, I stuff it in my mouth, and swallow. It’s wiggly and a somewhat gritty, but down she goes. Just takes concentration, and a little practice. The girls start screaming. A few break for the door. When things settle down we all leave. Seems nobody’s too keen on lunch. The next day, McDonald puts a sign on the fish-tank. Please Do Not Eat The Fish Just a minute. What really happened here? Nope, there was no slight of hand. The fish truly did go down, albeit with difficulty. However, we’d prepared carefully. Several days before I had a test run, ate a few, and knew I could do it. John went ‘round the school taking bets. The money was more or less an admission fee. I wonder why so many girls, and did they get their 50 cents worth? Gotta smile just thinking about it. Bloody outrageous! By the way, why didn’t someone confront me? The story must have shot ‘round the s...

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Contents ( Colour version includes maps, photographs, letters and diary extracts ) ( Audio books should become available soon ) Chapter 1 First Light Polio, Hospitals, Mystical Insights Crime, Eating Goldfish, Killing Robins University, LSD, California Attacking Police with Frisbee Chapter 2 Turn On, Drop Out Insights into Nature of LSD, Police, Orange County Jail Disastrous Break-up with Parents, Nuclear Physics California, Negative Effects of LSD On to Mexico, Avoiding Police Chapter 3 Mexico to India Close Encounters with Corrupt Police, Santa-Cruz Shootout Stoned by Turks, Iran, Afghanistan, Pakistan, Himalayas, Goa Chapter 4 London to Wales to India Down and Out in London, Madeline Goes Mad, Naked Chase Hitching to India, Smugglers Train Hunted in Pakistan, The Valley of The Unbelievers Carry Hash Across Indian Border Chapter 5 Indian Adventures Living with Monks, Music Lessons, Suicidal Mouse Meditation, Adventures in Varanasi, Himalayas Chapter 6 The Return Difficult Journey, Selling Blood, Infested with Lice Life ...

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As someone who works heavily in both math and computers, I can truly appreciate the role that logic plays in our modern world. One cannot understand the foundations of mathematics while lacking knowledge of the basics of logic and how proofs are constructed. Two of the first classes I took as a graduate student in mathematics were in the foundations of mathematics, and hardly a day goes by where I do not use some topic from those courses. Logic is also a fundamental component of advanced computer classes. I am currently teaching advanced courses in assembly language programming and computer organization. Reference is constantly being made to how the rules of logic are incorporated into the fundamental circuits of a computer. The logic used in these classes is known as classical or Boolean logic. Neutrosophic logic is an extension of classical logic, but as you will see in the book, there are two intermediate steps between them. Neutrosophic logic is yet another idea generated by Florentin Smarandache, who seems to be a perpetual idea machine. Like classical logic, it can be used in many ways, everywhere from statistics to quantum me...

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Research papers presented in this collection manifest only a few of many possible applications of neutrosophic logics to theoretical physics. Most of these applications target the theory of relativity and quantum physics, but other sections of physics are also possible to be considered....

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We apply the S-denying procedure to signature conditions in a four-dimensional pseudo-Riemannian space — i. e. we change one (or even all) of the conditions to be partially true and partially false. We obtain five kinds of expanded space-time for General Relativity. Kind I permits the space-time to be in collapse. Kind II permits the space-time to change its own signature. Kind III has peculiarities, linked to the third signature condition. Kind IV permits regions where the metric fully degenerates: there may be non-quantum teleportation, and a home for virtual photons. Kind V is common for kinds I, II, III, and IV....

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Preface, by Dmitri Rabounski ............................5 General Relativity, Gravitation, and Cosmology................6 S-Denying of the Signature Conditions Expands General Relativity’s Space, by Dmitri Rabounski, Florentin Smarandache, Larissa Borissova, Progress in Physics, 13-19, Vol. 3, 2006.......7 Positive, Neutral, and Negative Mass-Charges in General Relativity, by Larissa Borissova and Florentin Smarandache, Progress in Physics, 51-54, Vol. 3, 2006. .............14 Extension of the Big Bang Theory, by Florentin Smarandache, Bulletin of Pure and Applied Sciences, 139-140, Vol. 23D, No. 2, 2004. .....................18 What Gravity Is. Some Recent Considerations, by Vic Christianto and Florentin Smarandache, Progress in Physics, 63-67, Vol. 3, 2008. .......................20 A Few Remarks on the Length of Day: A Cosmological Perspective, by Vic Christianto, Matti Pitkaneny, and Florentin Smarandache, Progress in Physics, L3-L4, Vol. 1, 2009............25 Quantum Physics and Statistics .......................27 A Note on Unified Statistics Including Fermi-Dirac, Bose-Einstein, and Tsallis Statistic...

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This book was intended to discuss some paradoxes in Quantum Mechanics from the viewpoint of Multi-Valued-logic pioneered by Lukasiewicz, and a recent concept Neutrosophic Logic. Essentially, this new concept offers new insights on the idea of ‘identity’, which too often it has been accepted as given....

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2 Lukasiewicz Multi-Valued-logic: History and Introduction to Multi- Valued Algebra 2.1 Introduction to trivalent logic and plurivalent logic We all have heard of typical binary logic, Yes or No. Or in a famous phrase by Shakespeare: “To be or not to be.” In the same way all computer hardwares from early sixties up to this year are built upon the same binary logic. It is known that the Classical Logic, also called Bivalent Logic for taking only two values {0, 1}, or Boolean Logic from British mathematician George Boole (1815-64), was named by the philosopher Quine (1981) “sweet simplicity.” [57] But this typical binary logic is not without problems. In the light of aforementioned ‘garment analogue’, we can compare this binary logic with a classic black-and-white tuxedo. It is timeless design, but of course you will not wear it for all occasions. Aristotle himself apparently knew this problem; therefore he introduced new terms ‘contingency’ and ‘possibility’ into his modal logic [5]. And then American logician Lewis first formulated these concepts of logical modality. ...

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Contents Foreword 6 1 Introduction: Paradoxes, Lukasiewicz, Multi-Valued logic 7 2 Lukasiewicz Multi-Valued Logic: History and Introduction to Multi-Valued Algebra 10 2.1. Introduction to trivalent logic and plurivalent logic 10 2.2. History of Lukasiewicz and Multi-Valued Logic 12 2.3. Introduction to Multi-Valued Algebra, Chang’s Notation 15 2.4. Linkage between Multi-Valued Logic and Quantum Mechanics 15 2.5. Exercise 17 3 Neutrosophy 25 3.1. Introduction to Neutrosophy 25 3.2. Introduction to Non-Standard Analysis 26 3.3. Definition of Neutrosophic Components 27 3.4. Formalization 28 3.5. Evolution of an Idea 30 3.6. Definition of Neutrosophic Logic 31 3.7. Differences between Neutrosophic Logic and IFL 32 3.8. Operations with Sets 33 3.9. Generalizations 34 4 Schrödinger Equation 39 4.1. Introduction 39 4.2. Quantum wave dynamics and classical dynamical system 43 4.3. A new derivation of Schrödinger-type Equation 45 5 Solution to Schrödinger’s Cat Paradox 47 5.1. Standard interpretation 47 5.2. Schrödinger’s Cat Paradox 48 5.3. Hidden-variable hypothesis 50 5.4. Hydrodynamic viewpoint and diffusion i...

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Applications demonstrate the power of the DSmT framework. In this third Volume, DSmT is applied to the entire spectrum of the Information Fusion that would interest any reader in data, sensor, information, and mathematical fusion topics. Highlighted in Figure 1 are the contemporary issues that include the links between (1) data conditioning and information management, (2) combined situation and impact assessment, and (2) knowledge representation between machine processing and user coordination. Various applications leverage DSmT “Advances” listed above along with DSmH (hybrid), DSmP (Probabilistic), and DSmT theoretical insights. The third volume attacks these application issues of coordination between the “levels” of information fusion....

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Part I Advances on DSmT 1 Chapter 1 An introduction to DSmT 3 by J. Dezert and F. Smarandache 1.1 Introduction . . . . . . . . . . 4 1.2 Foundations of DSmT . . . . . . . . . 4 1.2.1 The power set, hyper-power set and super-power set . . 6 1.2.2 Notion of free and hybrid DSm models . . . . 18 1.2.3 Generalized belief functions . . . . . . 20 1.2.4 The classic DSm rule of combination . . . . . 21 1.2.5 The hybrid DSm rule of combination . . . . . 22 1.2.6 Examples of combination rules . . . . . . 24 1.2.7 Fusion of imprecise beliefs . . . . . . 29 1.3 Proportional Conflict Redistribution rule . . . . . 33 1.3.1 PCR formulas . . . . . . . . . 34 1.3.2 Examples . . . . . . . . . 35 1.3.3 Zadeh’s example . . . . . . . . 39 1.4 Uniform and partially uniform redistribution rules . . . 41 1.5 RSC Fusion rules . . . . . . . . . 43 1.6 The generalized pignistic transformation (GPT) . . . . 45 1.6.1 The classical pignistic transformation . . . . 45 1.6.2 Notion of DSmcardinality . . . . . . 46 1.6.3 The Generalized Pignistic Transformation . . . 47 1.7 The DSmP transformation . . . . . . . 48 1.7.1 The Probabilistic In...

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The July-August-September, 2011 edition of Hinduism's flagship spiritual magazine, Hinduism Today, has been released in digital form and is now available for free on your desktop. This issue takes you on a wondrous adventure through time as well as culture showcasing nine historic sites of ancient India. Get ready for an awe inspiring and thought provoking journey! We start with true our feature article with a magnificence recognizable by all of humanity. These nine ancient Hindu related sites demonstrate craftsmanship and artwork so awe-inspiring that the United Nations’s body for education, science and culture, (UNESCO) has deemed them as worthy of protection and care for the benefit of all of humanity. Our writers and photographers explore these temples and caves, dating back as early as 200 bce, introducing us to a depth and breadth of the rich Hindu landscape. You will be charmed by the historical accounts from western explorers. On a heart warming note, the middle section of this issue introduces our newly published "Hindu Children's Modern Stories, Books One and Two." These books bring the wisdom of the traditional yama...

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The first issue of the Kamehameha Journal of Education was published in January 1990 to share ideas, strategies, and research about the education of Hawaii's children. The Journal grew from 1,000 copies to 3,500 copies per issue over a period of six years. Hana Hou is a collection of articles from all twelve issues that represents the breadth of topics the Journal explored. We saw this journal as a chance to improve education and bring important information, strategies, views, and data to educators. We saw it as a vehicle for change: a chance to inform the education of Hawaii's children through research, successful practice, and curriculum and instruction that was relevant, interesting, and meaningful for students. Most of all, we wanted to make a difference for children. The Journal was more than a record of information or a vehicle for authors who were already writing for national journals. Rather, the editors, coming from a variety of disciplines including education, anthropology, clinical psychology, and the Kamehameha Elementary Education Program (KEEP) were able to identify methods and research that were effective and...

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Teaching and learning can—and does—go on in strange places. For so long, parents and teachers delegated learning to a formal setting with four walls, books, and a teacher teaching. Yet, those same parents and teachers taught children many unplanned—and often unintended—attitudes, language, and knowledge outside those walls. We learn from everything we do and the keys are our models and the richness of the learning environment. The three articles in this section describe how experiential, hands-on learning in widely varied contexts beyond the formal classroom may be more exciting, meaningful, memorable, and useful than the traditional style of education that students are largely accustomed to. Editors Gisela Speidel and Kristina Inn describe an unforgettable learning experience with master navigator Nainoa Thompson in “The Ocean Is My Classroom. ” Nainoa describes his path of learning from those who loved and cared for him through what felt like irrelevant school experiences, to his education aboard the Hokulea. In “A Hitchhiker's Guide to Technology,” Ian Jamieson shows us how to make a subject—as abstract and difficult...

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Introduction. 3 -- The Ocean Is My Classroom-Gisela E. Speidel & Kristina Inn Fall 1994. 7 -- A Hitchhiker's Guide To Technology-Ian Jamieson Summer 1995. 19 -- Home Schooling: A Way Of Life L.-Sierra Knight Fall 1994. 31 -- Learning And Teaching The Hula-Mele Ah Ho Fall 1994. 41 -- Information Literacy: A Challenge For Critical Thinking-Elaine Blitman Summer 1995. 49 -- An ?ohana Of Writing Teachers-Joy Marsella Fall 1993. 55 -- Eric Chock: Poet In The Schools-Wendie Yumori Spring 1993. 71 -- Whole Language: Some Thoughts-Ramona Newton Hao March 1991. 83 -- Methods: Teaching And Learning Principles-Anthony J. Picard & Donald B. Young September 1990. 93 -- Encouraging Voluntary Reading-Alice J. Kawakami January 1990 -- 109 -- Cultural Aspects Of Learning And Teaching The Child As A Member Of A Culture-Ginger Fink May 1990. 117 -- Becoming A Teacher In A Multicultural Classroom-Virgie Chattergy Fall 1993. 123 -- The Role Of Culture In Minority School Achievement-Cathie Jordan Fall 1992. 135 -- Kula Kaiapuni: Hawaiian Immersion Schools-Lilikala Kame?eleihiwa Fall 1992. 151 -- When Children Don't Speak The Language Of Instruction-Gisel...

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In his programmatic and data-laden tome, "Capital in the Twenty-first Century" (2014), Thomas Piketty makes several assertions, two of which merit a closer look: (1) That r (the return on capital) is, in the long-run always greater than g (the growth of the real economy), thus enriching the rich; and (2) that inherited wealth tends to create a "patrimonial" form of capitalism, akin to the aristocracy in the French and British ancient regimes. Putting aside the somewhat artificial and dubious distinction between the "real" and the financial economy, r and g are apples and oranges and cannot be compared. Economic growth (g) is not the return on the real economy in the same way that r is the return on capital and its assets. R is intended to compensate for a panoply of risks and is comparable to the wave function in Quantum Mechanics: it incorporates all the publicly and privately available information about future uncertainties and provides a distribution function of all plausible scenarios. Put simply: subject to political and market vicissitudes, capital can vanish overnight. Not so the real economy: it is always there, regardle...

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Scientia Magna is published annually in 200-300 pages per volume and 1,000 copies on topics such as mathematics, physics, philosophy, psychology, sociology, and linguistics....

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Smarandache inversion sequence Abstract We study the Smarandache inversion sequence which is a new concept, related sequences, conjectures, properties, and problems. This study was conducted by using (Maple 8){a computer Algebra System. Keywords Smarandache inversion, Smarandache reverse sequence. Introduction In [1], C.Ashbacher, studied the Smarandache reverse sequence: 1; 21; 321; 4321; 54321; 654321; 7654321; 87654321; 987654321; 10987654321; 1110987654321; (1) and he checked the _rst 35 elements and no prime were found. I will study sequence (1), from different point of view than C. Ashbacher. The importance of this sequence is to consider the place value of digits for example the number 1110987654321, to be considered with its digits like this : 11; 10; 9; 8; 7; 6; 5; 4; 3; 2; 1, and so on. (This consideration is the soul of this study because our aim is to study all relations like this (without loss of generality). Definition. The value of the Smarandache Inversions (SI) of a positive integers, is the number of the relations i > j ( i and j are the digits of the positive integer that we concern with it), where i alw...

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M. Karama : Smarandache inversion sequence 1 W. He, D. Cui, Z. Zhao and X. Yan : Global attractivity of a recursive sequence 15 J. Earls : Smarandache reversed slightly excessive numbers 22 X. Ren and H. Zhou : A new structure of super R¤-unipotent semigroups 24 J. Li : An equation involving the Smarandache-type function 31 P. Zhang : An equation involving the function ±k(n) 35 Y. B. Jun : Smarandache fantastic ideals of Smarandache BCI-algebras 40 T. Jayeo. la : On the Universality of some Smarandache loops of Bol-Moufang type 45 W. Kandasamy, M. Khoshnevisan and K. Ilanthenral : Smarandache representation and its applications 59 Y. Wang, X. Ren and S. Ma : The translational hull of superabundant semigroups with semilattice of idempotents 75 M. Bencze : Neutrosophic applications in ¯nance, economics and politics|a continuing bequest of knowledge by an exemplarily innovative mind 81 J. Fu : An equation involving the Smarandache function 83 W. Zhu : The relationship between Sp(n) and Sp(kn) 87 X. Du : On the integer part of the M-th root and the largest M-th power not exceeding N 91 J. Earls : On the ten's complement fa...

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The Rise of Peace is an English version Of Urdu Novel“ Tuloo e Amn ” Dedicated to all victims of terrorist attacks (Muslims, Non Muslims) The Scenario… The Central Theme This Novel has been written in the context of present day fast changing political scenario of the world. Most important international burning issues have been touched in this novel in the most skilful and careful manner. Shall this peace seeking world ever reach the lasting peace..? There is destruction of all anti peace world forces in attempt to convert this world into peaceful world. All nations live peacefully in the long run. People respect each other’s religious, territorial limits and social taboo. This Novel is an action and adventure based fiction and an attempt to make this world as joint peaceful global village free of discriminations of caste and racial and Islamic and non Islamic likes and dislikes. Author seems to stress upon the fact that discriminations of this sort are very fatal for the restoration of world peace. Unless this discrimination is not completely finished it is almost impossible to convert this world into one peaceful ...

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Bismillah Hirrahmaan Nirraheem In the name of Allah Almighty, The Most Gracious and The Most Merciful….The Most Beloved Prophet of Allah Almighty, Holy Prophet Muhammad (Peace Be Upon Him) ************************************* A Novel in English and Urdu An English Version Of Urdu Novel“ Tuloo e Amn ” Author of Both Versions; Dr. Hafiz Muhammad Shahid Amin Sheikh (MBBS, DLO) Pakistan. Copy Rights are Reserved Copyright © 2011 Dr. Hafiz Shahid Amin All rights reserved. Neither this publication nor any part of it may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, without the prior permission of The Dr. Hafiz Shahid Amin. The Rise of Peace 3 Table of Contents Title Of Novel About The Author The Scenario The Preface Chapter-1….Meeting Of World Leaders Chapter-2….Dr Jabran and Robot Sunny Chapter-3….The Chief of ZSCIA Chapter-4… Killing of EX PM Chapter-5….The Naval Fleet of Zulimistan Chapter-6….Deaths of Muslim Leaders Chapter-7…. Zulimistan Thinkers Association Chapter-8…. President David of Zulimis...

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Table of Contents Title of Novel About The Author The Scenario The Preface Chapter-1 Meeting Of World Leaders Chapter-2 Dr. Jabran and Robot Sunny Chapter-3…. The Chief of ZSCIA Chapter-4 Killing of EX PM Chapter-5 The Naval Fleet of Zulimistan Chapter-6 Deaths of Muslim Leaders Chapter-7 Zulimistan Thinkers Association Chapter-8 President David of Zulimistan Chapter- 9 Chief of MFP Dr. Jabran Chapter- 10 Operation Tariq Bin Ziyad Chapter- 11 Missile Attacks on Zamaril Chapter -12 ZTA in Zulimistan Court Chapter -13 President’s Plans against ZTA Chapter -14 MFP Attacks Green House Chapter -15 MFP Attacks on Zulimistan Chapter -16 MFP Addresses to Zulimistan Chapter -17 President David in MFP Chapter -18 The Destructions in Zulimistan Chapter -19 Supreme Court Verdict Chapter -20 World Peace Formula ...

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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...

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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....

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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................................

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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...

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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 Details
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................................