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Lt Col Anthony Mastalir has done policy makers a welcome service by exploring the enigma wrapped in a conundrum which is Chinese space policy, focusing on the Chinese kinetic energy antisatellite (KE-ASAT) test of January 2007. That test ended a de facto moratorium on KE-ASAT tests which the United States and Russia had observed for over two decades. It also announced the arrival of a new player in strategic space, forcing a reevaluation of US capabilities in space as well as Chinese intentions there. Colonel Mastalir examines both that reevaluation and those intentions, relying on open-source material, particularly from Chinese strategic and military analysts....

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1 INTRODUCTION . . . . . . . . . . . . . . . . . . . 1 Notes . . . . . . . . . . . . . . . . . . . . . . . . . . .11 2 EXTREME DIMENSIONS . . . . . . . . . . . . . . 15 Notes . . . . . . . . . . . . . . . . . . . . . . . . . . .22 3 POLITICAL/DIPLOMATIC DIMENSION . . . . 25 Notes . . . . . . . . . . . . . . . . . . . . . . . . . . 42 4 INFORMATION DIMENSION . . . . . . . . . . . 47 Notes . . . . . . . . . . . . . . . . . . . . . . . . . . .59 5 ECONOMIC DIMENSION . . . . . . . . . . . . . 61 Notes . . . . . . . . . . . . . . . . . . . . . . . . . . .71 6 MILITARY DIMENSION . . . . . . . . . . . . . .75 Notes . . . . . . . . . . . . . . . . . . . . . . . . . . .86 7 FINDINGS/CONCLUSION . . . . . . . . . . . . .89 Notes . . . . . . . . . . . . . . . . . . . . . . . . . . 98 ABBREVIATIONS . . . . . . . . . . . . . . . . . . . 101 BIBLIOGRAPHY . . . . . . . . . . . . . . . . . . . .103...

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This paper reviews the development of antigravity research in the US and notes how research activity seemed to disappear by the mid 1950s. It then addresses recently reported scientific findings and witness testimonies - that show us that this research and technology is alive and well and very advanced. The revelations of findings in this area will alter dramatically our 20th century view of physics and technology and must be considered in planning for both energy and transportation needs in the 21st century....

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Collections of original poetry in the mainstream European tradition.

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Physics Test The Gate: the Grip Meeting Climb Fearful The City Life-Fire How Long? After the Poem Mind So Fragile Here In The Sacred House Invariance You and I Critique High Flying Reading Hume Secret Writings No Correlation Tide-way Something In The Heart Mind Between Or We Would Fail In The Night The Imagined Dead The Web The Museum The Spirits Bedrock To A Singer Surprised Never More Clothed Swifts In The Bright Sky Of The Heart Sweet Complexity Breathe All That Dance The Lovers Of Life Cold Light Of Day Bonfire The Gate Of Grass Make It New Mind Is Root Free Thought Bridges Forests All Their Names Testify Moonstruck Not Yet Excess Post-Modernity Simply Complex Noa Noa A Song Minds Of The Machines Cry Of Your Blind Hands Elegy For A Poet As Nothing Else Does To A Child Not Reason Tracery Index Of First Lines...

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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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This issue of the journal is devoted to the proceedings of the third International Conference on Number Theory and Smarandache Problems. The conference was a great success and will give a strong impact on the development of number theory in general and Smarandache problems in particular. In this volume we assemble not only those papers which were presented at the conference but also those papers which were submitted later and are concerned with the Smarandache type problems or other mathematical problems. Other papers are concerned with the number-theoretic Smarandache problems and will enrich the already rich stock of results on them. Readers can learn various techniques used in number theory and will get familiar with the beautiful identities and sharp asymptotic formulas obtained in the volume....

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Abstract : Let k be any ¯xed positive integer, n be any positive integer, Sk(n) denotes the smallest positive integer m such that m! is divisible by kn: In this paper, we use the elementary methods to study the asymptotic properties of Sk(n), and give an interesting asymptotic formula for it. Keywords : F. Smarandache problem, primitive numbers, asymptotic formula. ...

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J. Wang : Cube-free integers as sums of two squares 1 G. Liu and H. Li : Recurrences for generalized Euler numbers 9 H. Li and Q. Yang : Some properties of the LCM sequence 14 M. Liu : On the generalization of the primitive number function 18 Z. Lv : On the F. Smarandache LCM function and its mean value 22 Q. Wu : A conjecture involving the F. Smarandache LCM function 26 S. Xue : On the Smarandache dual function 29 N. Yuan : A new arithmetical function and its asymptotic formula 33 A. Muktibodh, etc. : Sequences of pyramidal numbers 39 R. Zhang and S. Ma : An e±cient hybrid genetic algorithm for continuous optimization problems 46 L. Mao : An introduction to Smarandache multi-spaces and mathematical combinatorics 54 M. Selariu : Smarandache stepped functions 81 X. Zhang and Y. Zhang : Sequences of numbers with alternate common di®erences 93 Y. Zhang : On the near pseudo Smarandache function 98 A. Muktibodh : Smarandache mukti-squares 102...

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In The 2nd Conference on Combinatorics and Graph Theory of China (Aug. 16-19, 2006, Tianjing), I formally presented a combinatorial conjecture on mathematical sciences (abbreviated to CC Conjecture), i.e., a mathematical science can be reconstructed from or made by combinatorialization, implicated in the foreword of Chapter 5 of my book Automorphism groups of Maps, Surfaces and Smarandache Geometries (USA, 2005). This conjecture is essentially a philosophic notion for developing mathematical sciences of 21st century, which means that we can combine different fields into a union one and then determines its behavior quantitatively. It is this notion that urges me to research mathematics and physics by combinatorics, i.e., mathematical combinatorics beginning in 2004 when I was a post-doctor of Chinese Academy of Mathematics and System Science. It finally brought about me one self-contained book, the first edition of this book, published by InfoQuest Publisher in 2009. This edition is a revisited edition, also includes the development of a few topics discussed in the first edition....

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1.5 ENUMERATION TECHNIQUES 1.5.1 Enumeration Principle. The enumeration problem on a finite set is to count and find closed formula for elements in this set. A fundamental principle for solving this problem in general is on account of the enumeration principle: For finite sets X and Y , the equality |X| = |Y | holds if and only if there is a bijection f : X → Y . Certainly, if the set Y can be easily countable, then we can find a closed formula for elements in X....

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Contents Preface to the Second Edition . . . . . . . . . . . . . . . . . . . i Chapter 1. Combinatorial Principle with Graphs . . . . . . . . . . 1 1.1 Multi-sets with operations. . . . . . . . . . . . . . . . . . . . .2 1.1.1 Set . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.1.2 Operation . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.1.3 Boolean algebra . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.1.4 Multi-Set . . . . . . . . . . . . . . . . . . . . . . . . . .8 1.2 Multi-posets . . . . . . . . . . . . . . . . . . . . . . . . . . 11 1.2.1 Partially ordered set . . . . . . . . . . . . . . . . . . . . .11 1.2.2 Multi-Poset . . . . . . . . . . . . . . . . . . . . . . 13 1.3 Countable sets . . . . . . . . . . . . . . . . . . . . . . . . 15 1.3.1 Mapping . . . . . . . . . . . . . . . . . . . . . . . . . 15 1.3.2 Countable set . . . . . . . . . . . . . . . . . . . . 16 1.4 Graphs . . . . . . . . . . . . . . . . . . . . . . . . 18 1.4.1 Graph. . . . . . . . . . . . . . . . . . . . . . . . . . . .18 1.4.2 Subgraph . . . . . . . . . . . . . . . . . . . . . . . . 21 1.4.3 Labeled graph. . . . . . ...

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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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Progress and development in our knowledge of the structure, form and function of the Universe, in the true sense of the word, its beauty and power, and its timeless presence and mystery, before which even the greatest intellect is awed and humbled, can spring forth only from an unshackled mind combined with a willingness to imagine beyond the boundaries imposed by that ossified authority by which science inevitably becomes, as history teaches us, barren and decrepit. Revealing the secrets of Nature, so that we truly see ‘the sunlit plains extended, and at night the wondrous glory of the everlasting stars’*, requires far more than mere technical ability and mechanical dexterity learnt from books and consensus. The dustbin of scientific history is replete with discredited consensus and the grand reputations of erudite reactionaries. Only by boldly asking questions, fearlessly, despite opposition, and searching for answers where most have not looked for want of courage and independence of thought, can one hope to discover for one’s self. From nothing else can creativity blossom and grow, and without which the garden of science can o...

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After the experiments were completed, the life span of such “atoms” was calculated theoretically in Chapiro’s works [61,62,63]. His main idea was that nuclear forces, acting between nucleon and anti-nucleon, can keep them far away from each other, hindering their annihilation. For instance, a proton and anti-proton are located at the opposite side of the same orbit and move around the orbit’s centre. If the diameter of their orbit is much larger than the diameter of the “annihilation area”, they can be kept from annihilation (see fig. 3). But because the orbit, according to Quantum Mechanics, is an actual cloud spreading far around the average radius, at any radius between the proton and the anti-proton there is a probability that they can meet one another at the annihilation distance. Therefore the nucleon---anti-nucleon system annihilates in any case, as this system is unstable by definition having a life span no more than 10-20 sec....

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Contents Preface 5 Foreword 6 1 Unsolved Problems in Theoretical Physics 8 1.1. Problems related to elementary particles 8 1.2. Problems related to Unmatter 11 1.3 Some unresolved problems, questions and applications of the Brightsen nucleon cluster model 21 2 Unsolved Problems in Mathematics 24 2.1. Maximum number of circles 25 2.2. Consecutive sequence 25 2.3. Diophantine equation 25 2.4. Van Der Waerden Theorem 26 2.5. Differential equation with fractional power 26 2.6. Representation of odd number with prime 26 2.7. Magic square problem 27 2.8. Palindromic number and iteration 27 2.9. Non-Euclidean geometry by giving up its fifth postulate 28 2.10. Smarandache Geometry and Degree of Negation in Geometries 28 2.11. Non-Archimedean triangle theorem 33 2.12. The cubic Diophantine equation 33 2.13. Multispaces and applications in physics 34 3 Unsolved Problems in Astrophysics 35 3.1. Unsolved problems in Celestial Mechanics 35 3.2. Unsolved problems in Astrophysics 37 4 Unsolved Problems in Geophysics 45 4.1. Introduction 45 4.2. Some new questions 45 5 Unsolved Problems in Sorites Quantum Paradox and Sm...

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In the volume we assemble not only those papers which were presented at the conference but also those papers which were submitted later and are concerned with the Smarandache type problems. There are a few papers which are not directly related to but should fall within the scope of Smarandache type problems. They are 1. L. Liu and W. Zhou, On conjectures about the class number of binary quadratic forms; 2. W. Liang, An identity for Stirling numbers of the second kind; 3. Y. Wang and Z. Sheng, Two formulas for x^n in terms of Chebyshev polynomials. Other papers are concerned with the number-theoretic Smarandache problems and will enrich the already rich stock of results on them. Readers can learn various techniques used in number theory and will get familiar with the beautiful identities and sharp asymptotic formulas obtained in the volume....

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On Algebraic Multi-Vector Spaces Abstract A Smarandache multi-space is a union of n spaces A1;A2;An with some additional conditions hold. Combining these Smarandache multi-spaces with linear vector spaces in classical linear algebra, the conception of multi-vector spaces is introduced. Some characteristics of multi-vector spaces are obtained in this paper. Keywords Vector, multi-space, multi-vector space, dimension of a space. x1. Introduction These multi-spaces was introduced by Smarandache in under his idea of hybrid mathematics: combining different fields into a unifying field, which can be formally defined with mathematical words by the next definition. ...

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L. Mao : On Algebraic Multi-Vector Spaces 1 L. Liu and W. Zhou : On conjectures concerning class number of binary quadratic forms 7 W. Zhai and H. Liu : On square-free primitive roots mod p 15 X. Pan : A new limit theorem involving the Smarandache LCM sequence 20 M. Le : The Smarandache Perfect Numbers 24 N. Yuan : On the solutions of an equation involving the Smarandache dual function 27 J. Wang : Mean value of a Smarandache-Type Function 31 H. Yang and R. Fu : On the mean value of the Near Pseudo Smarandache Function 35 W. Liang : An Identity of Stirling Numbers of the Second Kind 40 R. Ma : On the F.Smarandache LCM Ratio Sequence 44 L. Mao : On Algebraic Multi-Ring Spaces 48 Y. Han : On the Product of the Square-free Divisor of a Natural Number 55 P. Zhang : Some identities on k-power complement 60 Y. Wang and Z. Sheng : Two Formulas for xn being Represented by Chebyshev Polynomials 64 X. Chen : Two Problems About 2-Power Free Numbers 70 X. Ma : The Asymptotic Formula of P n·x log Pad(n) 72 Q. Tian : On the K-power free number sequence 77 C. Lv : On a generalized equation of Smarandache and its integer sol...

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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 2000 year history of the atom and chemistry, from the Classic Greek Era to the present, is described in 800 pages, depicted with some 300 pictures and illustrations. This history of the atom and chemistry discusses the lives of about 180 chemists and physicists, through the evolution of several stages of development, representing the most important scientific accomplishments. The most significant discoveries in chemistry and physics are presented chronologically to illustrate their contributions to the creation of the chemical sciences during the last 21 centuries....

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INTRODUCTION It is a genuine pleasure and challenge for me to try to express the full extent of my emotions and reasons for writing this book on the STORY OF THE ATOM AND THE SCIENCES, with special reference to the CHEMICAL SCIENCES. In one sentence, I can distill the essence of the purpose for this study by simply stating that it has been a labor of love that transcended the written word because sentiments and ideas belong in the realm of the ethereal and the philosophical as well as in the domain of LITERATURE and SCIENCE. Ever since a young and impressionable student attending a country school in a community of a few hundred people, began to be introduced to the world of knowledge over 65 years ago, the sciences became to me what water is to fish, air is to birds and earth is to humanity. The introduction to the mathematical, physical, chemical and biological sciences felt like reading a beautiful poem or listening to a romantic melody. In essence, it was truly a joyful experience, full of the enigmatic, the mysterious and the fantastic, beyond my wildest imagination. The words used in the title of this book, were car...

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TABLE OF CONTENTS INTRODUCTION 1 THE STORY OF THE ATOM AND CHEMISTRY 7 THE CAVE MAN 7 ABSTRACT ON THE CONCEPT OF PERSPECTIVE AND SENSE OF DUTY 8 THE MIGRATORY AND THE SEDENTARY MAN 9 ABSTRACT ON THE ATOM AND ITS ENERGY 11 THE CLASSIC GREEK AND ROMAN PHILOSOPHERS 17 EMPEDOCLES (492-432 BC) Greek Philosopher 20 Proposed the four basic elements: earth, water, air and fire. DEMOCRITUS (470-380 BC) Greek Philosopher 22 The founder of the atomic theory of antiquity. CLAUDIUS PTOLEMY (100-170) Greek Astronomer 24 Proponent of the geocentric theory of our solar system with the Earth and not the Sun at its center. ABSTRACT ON THE GENESIS OF AN ORDERLY AND SYSTEMATIC UNIVERSE 25 THE ALCHEMY OF ANTIQUITY AND THE MIDDLE AGES 32 THE METAL INDUSTRY OF ANTIQUITY 33 Mercury, Copper, Bronze, Iron and Steel. GEBER (721-815) Arabian Alchemist 38 One of the first scholars and alchemists of the Islamic world. OMAR KHAYYAM (12th Century). Persian Scientist and Astronomer 38 Brilliant astronomer and alchemist of the 12th Century. BERNARDO TREVISAN (1406 -1490) Italian Alchemist 39 One of the most famous alchemists of th...

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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...

Excerpt Details
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................................