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This study reveals how airpower made four contributions to the collapse of Italy. First, airpower shaped the grand strategy of the western Allied powers in 1943. Second, mainland attacks against rail marshaling yards, ports, and airfields did indirectly contribute militarily to Operations Husky and Avalanche. Third, both American and British strategic bombing contributed to the psychological decapitation and fall of the Fascist government on 25 July 1943. Finally, airpower coerced and aided the interim Marshal Pietro Badoglio’s government to surrender unconditionally and escape to the Allies on 9 September....

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INTRODUCTION . . . . 1 AN UNEXAMINED VICTORY . . . . . 3 WHEN GIANTS WALKED THE EARTH . . . . . 7 A TALE OF TWO TIGERS . . . . . 19 WHEN IN ROME . . . . 37 THE DENOUEMENT OF DEFEAT . . . . 57 NO CROWING FOR A NEW DAWN . . . . . 71...

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This study seeks to answer the question, “How can airpower help resolve time-induced tensions between political and military imperatives in the conduct of modern warfare?” To answer this question, the study begins by exploring time in the theory of war with an emphasis on time as a fourth dimension that provides a distinct perspective on warfare. With concepts gleaned from theory, this study analyzes the Arab-Israeli War of 1967, the Falklands War, and the Gulf War to determine the role airpower played in overcoming time conflicts and achieving political-military congruence. The study concludes that a time-based strategy, defined as one in which time is a paramount or extremely significant consideration, was the mechanism through which airpower worked to resolve time-induced tensions between political and military imperatives....

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1 INTRODUCTION . . . . 1 Overview . . . 1 Methodology . . . . . 2 Definitions . . . . . . 2 Limits of the Argument . . . 3 Notes . . . . . 3 2 TIME IN THE THEORY OF WAR . . . 5 War Theorists on Time . . . . 6 Characteristics of Time in War . . . 7 Physical and Psychological Aspects of Time . . . . . 8 Political and Military Dynamics of Time . . . . . . 9 Summary . . . 10 Notes . . . . . 11 3 THE ARAB-ISRAELI WAR OF 1967 . . . . . . 13 The Course of the War . . . . 13 Political Imperatives . . . . . 14 Military Imperatives . . . . . 15 The Time Problem . . . . . . 15 Operational Consequences and Risk . . . . . 16 Airpower’s Role . . . . 17 Summary . . . 19 Notes . . . . . 20 4 THE FALKLANDS WAR . . . . 21 The Course of the War . . . . 21 Political Imperatives . . . . . 22 Military Imperatives . . . . . 24 The Time Problem . . . . . . 25 Operational Consequences and Risk . . . . . 25 The Role of Airpower . . . . . 27 Summary . . . 29 Notes . . . . . 29 5 THE GULF WAR . . . . 31 The Course of the War . . . . 31 Political Imperatives . . . . . 32 Military Imperatives . . . . . 34 The Time Problem . . ....

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Do we really know what meaning to give to the term PERSON? In this book, the author proposes, through an in depth dialog with the students of the S.U.R. (Sophia University of Rome), the following answer: a PERSON is a spiritual, unifying principle that is endowed with its own freedom and its own identity, it is an end unto itself and unto no other, and its constituent elements are the ability to love oneself and to love others. The topics most debated in the book are: spirituality, freedom, the psychological dimension, the pleasure principle, the joy principle. The author also observes that today there are many schools of psychoanalysis and different therapeutic techniques that are often in contrast, and he poses the question as to whether it is possible to broaden Freudian metapsychology and extend it, so that all the various psychotherapeutic currents can be contained within a unifying viewpoint....

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Creating The Life Your Desire will teach you the simple yet powerful techniques of how you can create the life you’ve longed for by taking control of your thoughts, patterns and habits at the inner subconscious level. By applying these formulas, you will soon find yourself living the life you’ve always dreamed of, achieving your goals with relative ease and breaking bad habits and negative thought patterns. The techniques you will learn in this book can guide you to higher level of both personal and professional satisfaction. I have used and studied the majority of healing arts; theology, meditation, yoga, hypnosis, NLP and read almost every self-help author from Tony Robbins, Chopra, Carnegie, Dyer and The Secret. The one thing they all have in common is tapping into the power of the subconscious mind. I have found that using a combination of these techniques while under hypnosis can fast track your results. My own personal journey led me to discover these techniques when I was a teenager and I have been using them ever since creating a life of my dreams and I continue to practice their techniques on a daily basis be...

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Contents 1. Introduction 2 2. What Is Hypnosis? 10 3. Recent Hypnotic Discoveries 22 4. Breaking Hypnotic Myths 31 5. The Stanford Hypnotic Susceptibility Tests 34 6. Can I Be Hypnotized? 38 7. Visualization Accelerates Hypnosis 42 8. Hypnosis Requirements 47 9. Using Affirmations While Under Hypnosis 52 10. How Does Hypnosis Work? 57 11. Personal Benefits Of Hypnosis 65 12. How To Tell When People Are Hypnotized 77 13. FAQs 79 14. How It Feels To Be Hypnotized 83 15. How To Hypnotize Yourself 86 16. Am I Really Hypnotized? 98 17. How Long Should My Trance State Last? 99 18. Where Should I Experience Trance? 100 19. How Many Sessions For Permanent Results? 101 20. What’s On The Horizon? 102 21. The Future of Hypnotherapy 103 22. Hypnosis Script: Creating The Life You Desire 108 23. Conclusion 136...

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John Buddle was a local hero in North East England. When he died in 1843 his funeral procession was more than a mile long and thousands of pitmen lined the route to show their respect. He was a self made man who led his men from the front through floods, fires and explosions to get the coal Britain's industry depended upon. This book based on his unpublished diaries tells the story of his life in his own words, the drama, the tragedy, the lives of rich and poor in a way that makes history come alive....

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For those on the surface that bright late spring morning, the twenty five pitmen who had escaped, others from the resting shift, and relatives of those still trapped underground the scene at the surface was terrifying. Within twenty minutes the water was sixty feet deep in the engine pit, the pit where the men were, and by the afternoon it was a hundred and twenty feet up the shaft...Buddle started pumping immediately, but the pumps at full capacity made no impression on the water which seemed to be coming from a vast underground reservoir and flowing like a subterranean river in spate. The only hope for the trapped men was to find another way into the workings. There were plenty of possibilities, but everyone knew it was a desperate gamble; old pits were death traps, a maze of half collapsed shafts and tunnels filled with gas, only madmen would want to go down them, but there was no shortage of volunteers and Buddle himself led the way....

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Introduction A Day to Remember A Century of Inventions Newcastle’s Call The Steam Elephant The Battle against Creep The Deluge The Slaughterhouse The Jarrow Gibbet The Secret Diary An Arranged Marriage Seaham Harbour The Lost Main Line Politics and Personality QED Sudden Death End notes Appendix A Glossary of Mining Terms Bibliography Page References ...

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From the Mind to the Feet: Assessing the Perception-to-Intent-to-Action Dynamic is an interagency, multidisciplinary collection of 12 essays addressing operational and academic perspectives on the elusive concept of an adversary’s “intent”—its indicators and relation to behavior. It is primarily intended for the operational and policy community in the Department of Defense, the intelligence community, the Department of Homeland Security, and other US government agencies....

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DISCLAIMER . . . . . . . . . . . . . . . . . . . . . . .ii FOREWORD . . . . . . . . . . . . . . . . . . . . . . .v ABOUT THE AUTHORS . . . . . . . . . . . . . . . .vii PREFACE . . . . . . . . . . . . . . . . . . . . . . . . .xv EXECUTIVE SUMMARY . . . . . . . . . . . . . . . xvii Introduction . . . . . . . . . . . . . . . . . . . . . . . 1 PART 1 Operational Perspective: Basic Issues in Gauging Intent 1 From Shoe Leather to Satellites: Shifting the Conceptual Lens . . . . . . . . . . . . . . . . . . . .7 Kathleen L. Kiernan and Daniel J. Mabrey 2 Betting Responsibly: An Effects-Based Thinker’s Framework for Characterizing Intent . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .15 Harry A. Foster 3 Gauging the Intent of Nation-States and Nonstate Actors: An Operator’s Perspective . 27 Gary Schaub, Jr. 4 From Observation to Action: Redefining Winning and Sovereignty for the Information Age . . . . . . . . . . . . . . . . . . . . . . . . . 47 John W. Bodnar PART 2 Academic Perspective: Theory and Research in Gauging Intent 5 Anthropological Reflections on Motive and Intent and the Strategic Multilayer Ass...

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Let’s be honest. No other parenting books even try to show you how to make your son or daughter a great American. We do. Thirty (30) great men and women from across many professions, genders, politics, religions, and walks of life—the products of extraordinary parenting and mentoring. This book offers the exact techniques, words, phrases, mantras —to propel your offspring to incredible success — toward rich, vivid lives. They worked for those parents and mentors. They can and will work for you too. Mantras are the 21st Century way to lock your ideals, standards, ethics, and principles into formative minds. By definition they demand repetition. The phrasing may stay the same or almost the same. The stories, the elaboration, the background, the colors may bob and weave. But the cores of the mantras stay fixed. Stars to remember and guide one through life. MANTRAS. The exact words used to motivate and guide those great future Americans. Distilled from over 500 biographies. These techniques, these words and phrases, WORK! This book uniquely brings you the best parenting and mentoring advice. Straight up. No bull...

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Let’s be honest. No other parenting books even try to show you how to make your son or daughter a great American. We do. Thirty (30) great men and women from across many professions, genders, politics, religions, and walks of life—the products of extraordinary parenting and mentoring. This book offers the exact techniques, words, phrases, mantras —to propel your offspring to incredible success — toward rich, vivid lives. They worked for those parents and mentors. They can and will work for you too. Mantras are the 21st Century way to lock your ideals, standards, ethics, and principles into formative minds. By definition they demand repetition. The phrasing may stay the same or almost the same. The stories, the elaboration, the background, the colors may bob and weave. But the cores of the mantras stay fixed. Stars to remember and guide one through life. MANTRAS. The exact words used to motivate and guide those great future Americans. Distilled from over 500 biographies. These techniques, these words and phrases, WORK! This book uniquely brings you the best parenting and mentoring advice. Straight up. No bull...

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The implications for scientific and technological advancements after open contact with advanced ET civilizations are based on an analysis of a combination of the technologies needed to visit Earth, the willingness of ETs to share knowledge, and multiple reports by contactees on what they observed and what they were told. There is also the problem of the willingness of human groups to share what they have already learned, but have kept suppressed for many decades. These will probably include many of the technologies that ETs have also developed. The five areas of interest covered will be transportation (including anti-gravity), energy production (including over unity devices), communication (including both super-luminal devices and consciousness communication), medical (including cures for human illnesses and resulting life extension), and consciousness (including a better understanding of our spiritual nature). In other words, there will be significant changes in many areas of human endeavor once open acknowledged contact has occurred, and there will be no “going back”. Ultimately this will be a “very good thing”....

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In this book the author expounds a system of practical methods of the spiritual self-development: starting from the entry level up to the highest ones, which lead to the complete spiritual Self-Realization through cognizing God in His Abode and Merging with Him. The book is addressed to those who want to know and to realize the meaning of their lives, to attain ultimate happiness, to find God, and to immerse in the Embraces of His Love....

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GOD AND US. STAGES OF THE SPIRITUAL PATH....5 MULTIDIMENSIONALITY OF THE UNIVERSE ....6 THE “CREATION” AND THE “END OF THE WORLD”....6 WHERE SHOULD WE SEEK GOD?.....8 HELL AND PARADISE.....9 HOW CAN WE FALL IN LOVE WITH GOD?.....9 GOD — AND DIVINE TEACHERS....10 GOD VERSUS PAGAN “DEITIES”....10 SPIRITUAL HEART AS THE ORGAN OF LOVE ....11 “BABAJI’S FORMULA”.....12 Truth.....13 Simplicity....17 Love ....18 Karma Yoga (Selfless Service)....28 Abandonment of the Lower Self for the Sake of Merging with the Higher Self.....29 PRACTICE OF THE STRAIGHT PATH.....33 Preliminary Methods ....33 Initial Methods....36 Ethic Self-Correction....36 Impressions as Food for the Soul....37 Initial Control of Emotions....37 Self-Discipline and Energy....38 Hygienic Advice....39 Hatha Yoga....39 Visualization....40 Basic Methods.....41 General Information....41 The “Cross of Buddha”....44 Warm-Up.... 44 Relaxation Asanas....45 Pranayamas....46 Psycho-Physical Exercises....46 Shavasana....48 Latihan. Baptism of the Holy Spirit....49 Cleansing of Chakras. Opening Up of the Spiritual Heart....50 Exits from the Body.... 53 ...

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Relocation is often defined as a stressful and nerve-racking experience that eats up too much time and money, leaving you emotionally and physically drained. And yet, it doesn’t have to be this way. The key to successfully writing your own happy ending to the grim moving story is to be adequately prepared for Moving day by following the required packing steps. Cleverly structured by esteemed relocation experts and, the purpose of this moving book is to help you organize and execute a smooth and trouble-free move with the least effort on your part. Be well informed. Be a smart decision-maker. Make all the right moves....

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It is universally known that moving often turns out to be a stressful experience with an insatiable appetite for time and money. The psychological impact of any relocation process cannot be predicted with any certainty and its side effects may last from a couple of weeks to a few years depending on what type of person you are. Being well prepared for the upcoming move is fundamental not only for your emotional well-being, but for that of the people around you as well....

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Introduction How To Mentally Prepare For A Move “Plans are nothing; planning is everything” It’s time to say goodbye You are what matters most A change might do you good Top 10 Best Organizing Ideas For Moving Be prudent when choosing your moving service Box it in and pack it up Devise a clever sorting system Make a survival kit Guard your valuables Get rid of excess stuff Accept any help you can get Let your camera be your pal Spread the word Make it children and pet safe Bonus idea: Start early and don’t rush yourself Top 10 Moving Mistakes And How To Avoid Them 1. Not planning your move 2. Failing to ask for an in-house estimate 3. Not obtaining multiple moving quotes 4. Not researching the moving companies 5. Choosing the company with the lowest quote 6. Bypassing items during the estimate 7. Packing poorly the day before the move 8. Failing to understand your insurance options 9. Entrusting irreplaceable valuables in the hands of the movers 10. Not understanding the moving paperwork Non-Allowable Items: What To Do When Movers Say No Hazardous materials Perishable food Pets and plants Irreplaceab...

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Parapedagogy is the science which studies the techniques of instruction and destruction and the deconfiguration of personality. It is concerned with non goals, discontents, anti principles, methods and disorganization forms of the education. In the misseducation research other disciplines are involved, such as the inhuman anatomy and psychology (especially the mass brain washing), the anti sociology of education which studies the psycho-asocial-anti-cultural medium and its sad influence over the personality. ...

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The parapedagogy definition The parapedagogy is the science which studies the techniques of instruction and destruction and the deconfiguration of personality. It is concerned with non goals, discontents, principles, methods and disorganization forms of the instruction and misseducation. The fundamental research in parapedagogy has the main goal to discover the laws and principles of parapedagogy, to establish an idealistic philosophy of the misseducation guideline in the misprocess of reconfiguration of the inhuman personality. The applicative research is preoccupied with student’s individuality, to detect and develop the inaptitude, anti talents, and the discovery of methods and procedures, which would decrease the school efficiency in its misprocess. In the parapedagogy research other disciplines are involved, such as the inhuman anatomy and psychology (especially the brain washing in mass), the sociology of misseducation which studies the psycho-asocial-anti-cultural medium and its influence over the personality. The historic and dialectic immaterialism constitutes the theoretical and methodological base of the parapedagogy res...

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Table of Discontents .................................5 Chapter 1 – Misseducation and Parapedagogy............... 10 Misseducation and parapedagogy...........................10 The miss concept of misseducation..........................13 Chapter 2 - The parapedagogic research.................. 14 The parapedagogy definition.............................14 The non‐objectives of parapedagogy research......................14 Research methods in parapedagogy..........................14 The biological bases of the psychological under development...............18 The role of the environment in personality disconfiguration................19 The rapport between maturity, learning, under‐development...............19 Chapter 3 - Knowledge about student’s personality .............20 The phases of intellectual under‐development......................20 The miss‐concepts of individual, person and personality..................21 The psychological miss‐concept of personality ......................22 Chapter 4 – Programs of study and characterization ............ 26 The main characteristics ...............................29 CHOLERIC...

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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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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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Let's be honest. No other parenting books even try to show you how to make your son or daughter a great American. We do. Thirty-one (31) great men and women from across many professions, genders, politics, religions, and walks of life--the products of extraordinary parenting and mentoring. This book offers the exact techniques, words, phrases, mantras --to propel your offspring to incredible success -- toward rich, vivid lives. They worked for those parents and mentors. They can and will work for you too. Mantras are the 21st Century way to lock your ideals, standards, ethics, and principles into formative minds. By definition they demand repetition. The phrasing may stay the same or almost the same. The stories, the elaboration, the background, the colors may bob and weave. But the cores of the mantras stay fixed. Stars to remember and guide one through life. MANTRAS. The exact words used to motivate and guide those great future Americans. Distilled from over 500 biographies. These techniques, these words and phrases, WORK! This book uniquely brings you the best parenting and mentoring advice. Straight up. No bull. The EXACT, SPECI...

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Introduction An easier childhood? There is a deep-seated river that contrarily runs through most American parenting. The belief that “my children” should have it easier than we, as parents, had it — when we were growing up. That is the worst mantra of parents! Spoiling your kids is the worst curse you can bestow upon your kids and yourself. It will come back to haunt you. Over and over and over. And then it will be too late. An old adage. Well, maybe we’ve grown up a little and are now more accomplished at avoiding corporeal punishment, except in the most egregious situations. But we continue to spoil them in other ways. Excess money. Excess toys. Excess time on their hands with nothing constructive to do. Excess trivia in their lives....

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Contents Dedication .................................................................................................................. 10 Introduction ................................................................................................................ 11 An easier childhood? ........................................................................................ 11 Parenting has changed? .................................................................................... 11 Mantras are the past and the future .................................................................. 12 About the Author ....................................................................................................... 15 VOLUME I–THE ART OF PARENTING................................................................ 17 Kareem Abdul-Jabbar ................................................................................................ 17 Who is Kareem Abdul-Jabbar? ............................................................................... 17 Parenting Techniques .........................................................................

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