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Colonel dePalo believes that better application of the doctrinal tenets of airpower is needed for more effective and efficient utilization of USAF combat rescue forces. He uses the tenets of flexibility, concentration, and persistence to demonstrate that the current force can transform to more effectively support the global war on terrorism and adapt to new roles and missions leading to a more agile, multifaceted personnel-recovery capability worldwide. This force can ably support USAF combat search and rescue requirements while also supporting broader personnel-recovery requirements for both the military and civilians. The potential exists to expand even beyond personnel recovery to support other missions such as the infiltration and exfiltration of battlefield Airmen. He argues that it is important to define the force as a war-fighting capability instead of as an executable function. Better integration of the force into strategic planning will facilitate matching this capability to desired effects, leading to a force able to execute a broad range of missions in varying environments....

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The purpose of this paper is to recommend that the United States government maintain the defense technological and industrial base (DTIB) by aggressively supporting the US defense industry in the arms transfer process. Ironically, this recommendation is contrary to the position held at the onset of this research and analysis effort. To accomplish this purpose, this paper has three aims. First, it recognizes that the DTIB requires preservation. Second, it describes arms transfers as an instrument of foreign policy based on US national security interests and the foreign policy challenges of the day. Third, it focuses on the current arms transfer decision-making process and represents it as a “Labyrinth of Control.” This section of the paper demonstrates the maze of controls used to adequately ensure that US military technologies are not diffused to foreign nations....

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PRESERVING THE DEFENSE TECHNOLOGICAL AND INDUSTRIAL BASE . . . . . 1 Notes . . . . . 6 ARMS TRANSFERS AS AN INSTRUMENT OF US FOREIGN POLICY . . . . . 7 Notes . . . . . 14 THE LABYRINTH OF CONTROL . . . . . 17 Notes . . . . . 27 MAINTAINING THE DTIB WITH US GOVERNMENT SUPPORT . . . . 29 Notes . . . . . 34 GLOSSARY . . . . . 35 BIBLIOGRAPHY . . . . 37...

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In March 1992, the Air Force published a new Air Force Manual 1-1, Basic Aerospace Doctrine of the United States Air Force. This document is not merely an update of previous editions. Instead, it is a statement of propositions concerning the use of aerospace power set within the context of war, and based on explicit analysis of historical and contemporary experience. Its intent is to provide guidance for the exercise of professional judgement by all aerospace leaders. This thesis is intended to provide a framework for examining this new doctrine. It traces the heritage of aerospace power and examines the history and theory behind Air Force doctrine. It then evaluates how well this new manual explains aerospace power’s role in Desert Storm and assesses the implications of the doctrine necessary for the future joint use of aerospace forces. The research question asks how well this new AFM 1-1 provides the basic guidelines needed for using aerospace power in a theater-level conventional war such as Desert Storm. Unclassified material relating to the history of aerospace doctrine, aerospace performance in Desert Storm, and other service...

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I. DOCTRINAL BEGINNINGS Introduction 1 Doctrine Defined 2 Sources of Doctrine 3 Previous Doctrines 4 II. ANALYSIS OF THE NEW AFM 1-1 Introduction 19 Chapter 1. "War and the American Mind" 20 Chapter 2. “The Nature of Aerospace Power" 21 Chapter 3. "Employing Aerospace Forces" 23 Chapter 4. "Preparing the Air Force for War" 25 Evaluation of AFM 1-1 as Doctrine 26 AFM 1-1 and Desert Storm 29 III. FUTURE IMPLICATIONS National Security Policy 34 Nationa1 Mi1itary Strategy 35 Need For Joint Doctrine 38 Naval Doctrine 40 Marine Doctrine 42 Army Doctrine 44 Air Force Doctrine 45 Resolution 46 IV. CONCLUSION . 48...

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ANTIAIRCRAFT DEFENSE THROUGH WORLD WAR II . . . . . . . . . . . . . . . . . . . . . 1 British Antiaircraft Artillery . . . . . . . . . . . . . . 4 The V-1 Campaign . . . . . . . . . . . . . . . . . .13 American Antiaircraft Artillery . . . . . . . . . . . 22 German Flak . . . . . . . . . . . . . . . . . . . . . . 24 Allied Countermeasures . . . . . . . . . . . . . . 42 Fratricide . . . . . . . . . . . . . . . . . . . . . . . . .46 The US Navy in the Pacific . . . . . . . . . . . . .49 Japanese Antiaircraft Artillery . . . . . . . . . . .53 The Lessons of World War II . . . . . . . . . . .57 Notes . . . . . . . . . . . . . . . . . . . . . . . . . . . 59 2 FROM GUNS TO MISSILES, 1945–1965 . . .69 Antiaircraft Returns to Combat: The Korean War . . . . . . . . . . . . . . . . . . . .75 Antiaircraft Missiles . . . . . . . . . . . . . . . . . .81 Notes . . . . . . . . . . . . . . . . . . . . . . . . . . 106 3 AIRMEN VERSUS GUERRILLAS: VIETNAM . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .113 French Operations . . . . . . . . . . . . . . . . . 113 America Enters the War . . . . . . . . . . . . . .114...

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This thesis examines three campaigns during which aerial terror raids, peripheral to the main war efforts and incapable of destroying the enemy war-making capacity, elicited disproportionate reactions from the targeted leaderships. The raids on London during World War I, the V-1 and V-2 raids on London three decades later, and the Scud attacks on Israel during Desert Storm each show evidence of overreaction by Allied/coalition leaders. A review of the nature of terrorism and of airpower reveals that aerial weapons are uniquely suitable as terror weapons. An analysis of the differences between nuisance attacks and conventional civilian bombing, along with an understanding of the pressures on the leaders involved, leads to an explanation for past overreactions: aerial terror raids shock targeted leaders into visceral responses. Historically short-lived, these responses are based on the pressures of representative government and the tendency to overestimate the capability of terror weapons while underestimating the resilience of the population....

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INTRODUCTION . . . . 1 THE ANATOMY OF TERROR . . . . . 3 BEYOND THE TRENCHES . . . . 9 “V” FOR VENGEANCE . . . . . 13 DECISIVE TERROR . . . . 19 ANALYSIS . . . . . 25 CONCLUSION . . . . . 31 BIBLIOGRAPHY . . . . 37...

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This paper asserts that the current operational requirements and system concept generation processes can and should be significantly improved. To develop that assertion, the paper examines the evolution of the processes since the President’s Blue Ribbon Commission on Defense Management (the "Packard Commission") made its recommendations in 1986. Examining this evolution reveals fundamental problems that have been alleviated to some extent by recent reforms but remain to such a degree that further improvement is warranted. Therefore, this paper makes six major recommendations for improving the operational requirements and system concepts generation processes....

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1. IMPORTANT PROCESSES FOR TOUGH QUESTIONS 1 2. IMPROVING DEFENSE PLANNING 11 Section 1: The case for Strategies-to-Tasks for Objectives - Budget Links Section 2: The Case for Strategies-to-Tasks for Long-Range Planning 3 .IMPROVING DEVELOPMENT PLANNING 28 Section 1: The Case for vesting the JROC with Milestone 0 Authority Section 2: The Case for a Pure Mission Need Statement, No Early Acquisition Category, and the JROC for All Mission Need Statements Section 3: The Case for Operational Planners Leading Phase 0 4. CONCLUSION 54...

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In Unmanned Airlift: A Viable Option for Meeting the Strategic Airlift Shortfall, Lt Col Chad T. Manske points to the growing dependency on strategic airlift as well as the abiding corollary that there will continue to be a shortfall in strategic airlift. To get to the analysis, Colonel Manske raised three crucial questions: (1) are operational requirements able to justify unmanned airlifters, (2) are current and emerging technologies likely to meet these potential operational requirements, and (3) are the operational concepts cost-effective?...

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1 INTRODUCTION . . . . . . . . . . . . . . . . . . .1 Notes . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 2 THE STRATEGIC AIRLIFT SHORTFALL . . . . .7 Notes . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 3 OPERATIONAL REQUIREMENTS . . . . . . . . .13 Notes . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 4 TECHNOLOGICAL FEASIBILITY . . . . . . . . .31 Notes . . . . . . . . . . . . . . . . . . . . . . . . . . .62 5 FINANCIAL CAPABILITY . . . . . . . . . . . . . .67 Notes . . . . . . . . . . . . . . . . . . . . . . . . . . . 85 6 ANALYSIS, CONCLUSIONS, IMPLICATIONS .89 Notes . . . . . . . . . . . . . . . . . . . . . . . . . . .94 GLOSSARY . . . . . . . . . . . . . . . . . . . . . . . 95 BIBLIOGRAPHY . . . . . . . . . . . . . . . . . . . . 99...

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What follows are points and counterpoints that attempt to clear away some of the detritus that obscures the subject, thus allowing more informed debate on the real issues concerning airpower and strategic bombing. This in turn, hopefully, will give our political and military leaders a better basis on which to form decisions in future conflicts....

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1 Between the world wars, even though the US Army Air Corps received more than its fair share of funds from the Army, it continued to complain, agitate, and ask for more. . . . . 1 Notes . . . . . . . . . . . . . . . . . . . 13 2 Entering World War II, the Air Corps’s unbalanced doctrine and force structure leaned too heavily towards strategic bombing. Thus, air support of ground forces was inadequate and largely ignored by airmen. . . . . 17 Notes . . . . . . . . . . . . . . . . . . . 23 3 The Air Corps entered World War II with a “Douhetian” concept of air war that emphasized area bombing and the waging of war on women and children. . . . . . . . . . . . .27 Notes . . . . . . . . . . . . . . . . . . . 29 4 Airmen thought they could win the war alone. . . . . . 31 Notes . . . . . . . . . . . . . . . . . . . 36 5 The fact that German production, especially of aircraft, continued to increase throughout 1944 proves that the Combined Bomber Offensive (CBO) was ineffective and that the resources devoted to it would have been better spent elsewhere. . . . . . . . . . . . 39 Notes . . . . . . . . . . . . . . . . . . . 45 6 B...

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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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In this book the author teaches how to use of SolidWorks as a tool for developing and presenting engineering ideas and concepts. In addition to teaching the basics of SolidWorks, he shares his experience related to how these tools are used in an engineering organization. Many introductory CAD tutorials focus only on the software and train students to be skilled CAD operators. This book also places equal emphasis on creating engineering drawings that comply with accepted design standards. Engineering drawings are the most important means of communication between the design and manufacturing functions. They are also necessary for the maintenance and repair of consumer and industrial product as varied as automobiles, airplanes, earth moving equipment and cruise ships. Lastly, engineering drawings are legal documents and commonly used to determine and apportion fault in product liability lawsuits. Every engineering and manufacturing professional must be proficient at creating, understanding and using engineering drawings. The second edition updates the book to the latest version of SolidWorks (2014)....

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The reason for writing another “Introduction to SolidWorks” book is to emphasize the role and importance of computer aided design (CAD) and engineering drawings in communicating design ideas. The old adage “a picture is worth a thousand words” is true in mechanical engineering design. Sometimes it is impossible to describe a complex design in words and we must use engineering drawings. ...

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The book is divided into the following five sections: 1. Introducing and Customizing SolidWorks 2. Modeling Simple Parts 3. Modeling Complex Parts 4. Modeling Assemblies 5. Creating Engineering Drawings...

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Both quiz and the competitive examinations need a wide database of general knowledge, ways to remember the essentials, and to utilize them at the proper time, during examination, or during a quiz competition. How To Win Quiz & Succeed In Any Exam by Dr Kartik H. Is a book in that direction. The author first gives an idea to build a wide general knowledge base, from the common resources easily available all around us. Next, he explains the tricks and ways, in the form of tools, to memorize this huge collection of general knowledge, in a systematic way. The exercises given in the end of each tool, familiarises us in utilising them. He also tells us exactly how to filter the essentials from non-essentials, and remember only the essentials. Then, the reader is explained the setup of most standard quiz competitions, how to prepare for them and how to face them effectively. By understanding this comprehensive picture of the quiz competition set ups, we are mentally prepared well to face them. Followed by this, the reader is explained how to utilize this general knowledge collection in a logical and systematic way not only in a quiz compet...

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Knowledge Is Power, Fun And an Accomplishment

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Chapter 1- WHY QUIZ? Chapter 2- QUIZ IS A MIND GAME Chapter 3- RESOURCES Chapter 4- QUIZ TOOLS Tool 1: Read / Listen To The Question Carefully Tool 2: Sequentialize To Memorise Tool 3: Memory Tags Tool 4: Internalize The Superlatives Tool 5: Compartmentalize Knowledge Tool 6: Extensive Reading To Build A Good Knowledge Reserve. Tool 7: Beware Of Etsem Facts Tool 8: Connecting The Dots Tool 9: Pattern Recognition Tool 10 Let Us Recall The Tools Chapter 5- THE QUIZ COMPETITION Chapter 6- QUIZ AND EXAMINATIONS Chapter 7- SOME MODEL QUESTIONS AND ANSWERS WITH SUGGESTED TOOLS TO SOLVE THEM Chapter 8 -ACKNOWLEDGEMENTS...

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The invention of Creole cuisine in French Louisiana during colonial times. Historical vignettes describing the development of New Orleans doing the 18th century. Recipes of traditional New Orleans dishes, as well as new recipes created by the authors. All recipes created with only ingredients and cooking methods available to the French colonials in 18th-century Louisiana. An illustration of the colonial Louisiana economy being approximately 75% driven by smuggling activities....

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In Europe, for centuries, fish and other seafood (relatively rare in inland areas), have become the traditional meat “substitute”. Now here in Louisiana, it is possible to “substitute” fish and seafood for meat virtually every day. Combine this with the variety of cooking styles and techniques we have learned from our Indian and African neighbors, as well as our own - not inconsiderable - French culinary heritage, it is hardly a sacrifice for us to consume these delicious meals as a method of honoring our religious convictions and practices. All of this being said, is is not the place of this lowly kitchen friar to question the wisdom of Holy Mother Church. ...

Table of Contents Details
Forword Preface Chapter 1: French and Indian Bread Chapter 2: A Creole Original: Frére Gerard discovers Sagamite Chapter 3: An Original Recipe Chapter 4: A Voyage up the Bayou Tchoupitoulas Chapter 5: Creole Corn Stew, Cajun Macque Choux Chapter 6: 1718 Style Red Beans and Rice Chapter 7: Frére Gerard discovers the “Paccan” Chapter 8: Christmas with the Ursulines, 1738 Chapter 9, Grillades and Grits Chapter 10: River Shrimp at Lent, 1735 Chapter 11: Some Calas in the French Market Chapter 12: A Boucan for Pentecost Chapter 13: The Houma’s Visit Chapter 14: Frére Gerard’s Potager Chapter 15: Les Sausses-the 3 Sauces Meres Chapter 16: Markets, Marshes, and Meat Chapter 17: Les Partisans de la Chasseuse Chapter 18: A Smugglers Paradise Chapter 19: Making Sausage on the Côte des Allemands Chapter 20: New Orleans Coffee...

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In this book the author teaches how to use of SolidWorks as a tool for developing and presenting engineering ideas and concepts. In addition to teaching the basics of SolidWorks, he shares his experience related to how these tools are used in an engineering organization. Many introductory CAD tutorials focus only on the software and train students to be skilled CAD operators. This book also places equal emphasis on creating engineering drawings that comply with accepted design standards. Engineering drawings are the most important means of communication between the design and manufacturing functions. They are also necessary for the maintenance and repair of consumer and industrial product as varied as automobiles, airplanes, earth moving equipment and cruise ships. Lastly, engineering drawings are legal documents and commonly used to determine and apportion fault in product liability lawsuits. Every engineering and manufacturing professional must be proficient at creating, understanding and using engineering drawings. ...

Excerpt Details
The reason for writing another “Introduction to SolidWorks” book is to emphasize the role and importance of computer aided design (CAD) and engineering drawings in communicating design ideas. The old adage “a picture is worth a thousand words” is true in mechanical engineering design. Sometimes it is impossible to describe a complex design in words and we must use engineering drawings....

Table of Contents Details
The book is divided into the following five sections: 1. Introducing and Customizing SolidWorks 2. Modeling Simple Parts 3. Modeling Complex Parts 4. Modeling Assemblies 5. Creating Engineering Drawings ...

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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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This book contains 23 papers, most of which were written by participants to the fifth International Conference on Number Theory and Smarandache Notions held in Shangluo University, China, in March, 2009. In this Conference, several professors gave a talk on Smarandache Notions and many participants lectured on them both extensively and intensively. All these papers are original and have been refereed. The themes of these papers range from the mean value or hybrid mean value of Smarandache type functions, the mean value of some famous number theroretic functions acting on the Smarandache sequences, to the convergence property of some infinite series involving the Smarandache type sequences. ...

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3. Remarks Sandor [2] has considered the problem of finding the S-perfect and completely S-perfect numbers, but his proof is not complete. He has proved that the only S-perfect of the form n = p q is n = 6 and there is no S-perfect number of the form n = 2kq where k ¸ 2 is an integer and q is an odd prime. On the other hand, Theorem 2.1 gives all the S-perfect numbers. Again, Sandor only proved that, the only completely S-perfect number of the form n = p2q is n = 28, and all completely S-perfect numbers are given by Theorem 2.2. Theorem 2.1 and Theorem 2.2 ¯nd respectively the S-perfect and completely S-perfect numbers when S(1) = 1. The situation is quite different if one adopts the convention that S(0) = 1. In the latter case, as has been proved by Gronas [3], all completely S-perfect numbers are n = p(prime), 9, 16, 24. All that is known about the S-perfect numbers is that, among the ¯rst 106 numbers, n = 12 is the only S-perfect number (see Ashbacher [4]). In exactly the same way, the Z-perfect and completely Z-perfect numbers may be defined. Thus, given an integer n, 1. ...

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J. Wang : An equation related to the Smarandache power function 1 X. Lu and J. Hu : On the F.Smarandache 3n-digital sequence 5 B. Cheng : An equation involving the Smarandache double factorial function and Euler function 8 A. A. K. Majumdar : S-perfect and completely S-perfect numbers 12 B. Zhao and S. Wang: Cyclic dualizing elements in Girard quantales 21 P. Chun and Y. Zhao : On an equation involving the Smarandache function and the Dirichlet divisor function 27 F. Li and Y. Wang : An equation involving the Euler function and the Smarandache m-th power residues function 31 H. Gunarto and A. Majumdar : On numerical values of Z(n) 34 K. Nagarajan, etc.: M-graphoidal path covers of a graph 58 H. Liu : On the cubic Gauss sums and its fourth power mean 68 A. A. K. Majumdar : On the dual functions Z¤(n) and S¤(n) 74 S. S. Gupta : Smarandache sequence of Ulam numbers 78 L. Li : A new Smarandache multiplicative function and its arithmetical properties 83 Y. Yang and X. Kang : A predator-prey epidemic model with infected predator 86 R. Fu and H. Yang : An equation involving the Lucas numbers 90 W. Yang : Two rings in IS-a...

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Chapter 1 first introduces the interval neutrosophic sets which is an instance of neutrosophic sets. In this chapter, the definition of interval neutrosophic sets and set-theoretic operators are given and various properties of interval neutrosophic set are proved. Chapter 2 defines the interval neutrosophic logic based on interval neutrosophic sets including the syntax and semantics of first order interval neutrosophic propositional logic and first order interval neutrosophic predicate logic. The interval neutrosophic logic can reason and model fuzzy, incomplete and inconsistent information. In this chapter, we also design an interval neutrosophic inference system based on first order interval neutrosophic predicate logic. The interval neutrosophic inference system can be applied to decision making. Chapter 3 gives one application of interval neutrosophic sets and logic in the field of relational databases. Neutrosophic data model is the generalization of fuzzy data model and paraconsistent data model. Here, we generalize various set-theoretic and relation-theoretic operations of fuzzy data model to neutrosophic data model. Chapter ...

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The neutrosophic set generalizes the above mentioned sets from philosophical point of view. From scientific or engineering point of view, the neutrosophic set and set-theoretic operators need to be specified. Otherwise, it will be difficult to apply in the real applications. In this chapter, we de_ne the set theoretic operators on an instance of neutrosophic set called Interval Neutrosophic Set (INS). We call it as “interval" because it is subclass of neutrosophic set, that is we only consider the subunitary interval of [0; 1]....

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Preface iii 1 Interval Neutrosophic Sets 1 1.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.2 Neutrosophic Set . . . . . . . . . . . . . . . . . . . . . . . . 4 1.3 Interval Neutrosophic Set . . . . . . . . . . . . . . . . . . . . . 6 1.4 Properties of Set-theoretic Operators . . . . . . . . . . . . . . . . . . 14 1.5 Convexity of Interval Neutrosophic Set . . . . . . . . . . . . . . . . . . 15 1.6 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . 16 1.7 Appendix . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 2 Interval Neutrosophic Logic 21 2.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . 21 2.2 Interval Neutrosophic Propositional Calculus . . . . . . . . . . . . . . . 23 2.2.1 Syntax of Interval Neutrosophic Propositional Calculus . . . . . . . . . 23 2.2.2 Semantics of Interval Neutrosophic Propositional Calculus . . . . . . . . . 24 2.2.3 Proof Theory of Interval Neutrosophic Propositional Calculus . . . . . . . . 25 2.3 Interval Neutrosophic Predicate Calculus . . . . . . . . . . . . . . . . 27 2.3.1 Syntax of Interval Neutrosophic Predicate Cal...

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In this book the authors study the erasure techniques in concatenated Maximum Rank Distance (MRD) codes. The authors for the first time in this book introduce the new notion of concatenation of MRD codes with binary codes, where we take the outer code as the RD code and the binary code as the inner code....

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We want to find efficient algebraic methods to improve the realiability of the transmission of messages. In this chapter we give only simple coding and decoding algorithms which can be easily understood by a beginner. Binary symmetric channel is an illustration of a model for a transmission channel. Now we will proceed onto define a linear code algebraically....

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Preface 5 Chapter One BASIC CONCEPTS 7 Chapter Two ALGEBRAIC LINEAR CODES AND THEIR PROPERTIES 29 Chapter Three ERASURE DECODING OF MAXIMUM RANK DISTANCE CODES 49 3.1 Introduction 49 3.2 Maximum Rank Distance Codes 51 3.3 Erasure Decoding of MRD Codes 54 Chapter Four MRD CODES –SOME PROPERTIES AND A DECODING TECHNIQUE 63 4.1 Introduction 63 4.2 Error-erasure Decoding Techniques to MRD Codes 64 4.3 Invertible q-Cyclic RD Codes 83 4.4 Rank Distance Codes With Complementary Duals 101 4.4.1 MRD Codes With Complementary Duals 103 4.4.2 The 2-User F-Adder Channel 106 4.4.3 Coding for the 2-user F-Adder Channel 107 Chapter Five EFFECTIVE ERASURE CODES FOR RELIABLE COMPUTER COMMUNICATION PROTOCOLS USING CODES OVER ARBITRARY RINGS 111 5.1 Integer Rank Distance Codes 112 5.2 Maximum Integer Rank Distance Codes 114 Chapter Six CONCATENATION OF ALGEBRAIC CODES 129 6.1 Concatenation of Linear Block Codes 129 6.2 Concatenation of RD Codes With CR-Metric 140 FURTHER READING 153 INDEX 157 ABOUT THE AUTHORS 161...

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前言 数论这门学科最初是从研究整数开始的, 所以叫做整数论. 后来整数 论又进一步发展, 就叫做数论了. 确切的说, 数论就是一门研究整数性质 的学科. 它是最古老的数学分支. 按照研究方法来说, 数论可以分成初等 数论, 解析数论, 代数数论, 超越数论, 计算数论, 组合数论等. Foreword Number theory, this discipline was originally started from the study integer, so called Number Theory. Later integer on further development of number theory called it. Rather, number theory is an integer nature of disciplines and it is the oldest branch of mathematics concerned by the study methods, can be divided into elementary number theory, number theory, analytic number theory, algebraic number theory, transcendental number theory, computational number theory, combinatorics number theory and so on....

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第一章Smarandache函数. . . . . . . . . . . . 1 1.1 引言. . . . . . . . . . . . . . . . . . . . . . . 1 1.2 关于F.Smarandache可乘数函数的一类均值. . . . . . 1 1.3 Smarandache函数值的分布. . . . . . . . . . . . . 5 1.3.1 几个引理. . . . . . . . . . . . . . . . . . . 6 1.3.2 证明. . . . . . . . . . . . . . . . . . . . . 7 1.4 Smarandache函数df (n) 的均值. . . . . . . . . . . . 9 1.5 关于F.Smarandache LCM 函数以及它的主值. . . . . . 12 1.6 Smarandache Pierced 链. . . . . . . . . . . . . . . 16 1.7 Smarandache 函数的几个相关结论. . . . . . . . . . 18 1.7.1 关于Smarandache 函数的一个等式. . . . . . . . 18 1.7.2 关于文章\一个新的算术函数的主值"的一些注释. . 20 1.7.3 Smarandache 函数的一个推广. . . . . . . . . . 23 1.7.4 关于F.Smarandache函数及其k次补数. . . . . . . 27 1.7.5 关于F.Smarandache函数的奇偶性. . . . . . . . 32 第二章伪Smarandache 函数. . . . . . . . . . . . 36 2.1 伪Smarandache 函数的定义及性质. . . . . . . . . . 36 2.2 关于伪Smarandache函数的几个定理. . . . . . . . . 38 2.3 关于伪Smarandache 函数的几个方程. . . . . . . . . 40 2.3.1 一个与Smarandache函数有关的函数方程及其正整 数解. . . . . . . . . . . . . . . . . . . . . 41 2.3.2 一个包含伪Smarandache函数及其对偶函数的方程. 42 2.3.3 一个包含伪Smarandache 函数及Smarandache 可乘 函数的方程. . . . . . . . . . . . . . . . . . 45 2.4 伪Smarandache函数的...

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前言 数论这门学科最初是从研究整数开始的, 所以叫做整数论. 后来整数 论又进一步发展, 就叫做数论了. 确切的说, 数论就是一门研究整数性质 的学科. 在我国, 数论也是发展最早的数学分支之一. 许多著名的数学著 作中都有关于数论内容的论述, 比如求最大公约数、勾股数组、某些不 定方程整数解的问题等等... Foreword Number theory, this discipline was originally started from the study integer, so called Number Theory. Later integer on further development of number theory called it. Rather, number theory is an integer nature of Discipline in our country, the development of number theory is one of the oldest branches of mathematics and many well-known mathematical forward work on number theory in both the content of discourse, such as the common denominator, Pythagorean, some do not Equation given integer solution problems, and so…....

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第一章Smarandache函数的问题及其新进展1 1.1 引言. . . . . . . . . . . . . . . . . . . . . . . 1 1.2 Smarandache非构造序列. . . . . . . . . . . . . . 1 1.3 Smarandache数字和. . . . . . . . . . . . . . . . 2 1.4 Smarandache数字乘积. . . . . . . . . . . . . . . 2 1.5 Smarandache Pierced链. . . . . . . . . . . . . . . 3 1.6 Smarandache因子乘积. . . . . . . . . . . . . . . 4 1.7 Smarandache真因子乘积. . . . . . . . . . . . . . 5 1.8 Smarandache平方补数. . . . . . . . . . . . . . . 6 1.9 Smarandache立方补数. . . . . . . . . . . . . . . 7 1.10 Smarandache广义剩余序列. . . . . . . . . . . . . 7 1.11 Smarandache素数列. . . . . . . . . . . . . . . . 8 1.12 Smarandache平方列. . . . . . . . . . . . . . . . 13 1.13 Smarandache素数可加补数. . . . . . . . . . . . . 15 1.14 Smarandache函数S(n) . . . . . . . . . . . . . . . 19 1.15 Smarandache双阶乘函数. . . . . . . . . . . . . . 31 1.16 Smarandache商函数. . . . . . . . . . . . . . . . 42 1.17 Smarandache p次幂原函数. . . . . . . . . . . . . . 43 1.18 第一类伪Smarandache素数. . . . . . . . . . . . . 43 1.19 第一类伪Smarandache平方数. . . . . . . . . . . . 44 1.20 Goldbach-Smarandache序列. . . . . . . . . . . . . 46 1.21 Vinogradov-Smarandache序列. . . . . . . . . . . . 46 ...

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This book includes part of the research results about the Smarandache problems written by Chinese scholars at present, and its main purpose is to introduce various results about the Smarandache problems, such as Smarandache function and its asymptotic properties, series convergence, solutions about special equations. At the same time, we put forward to some new interesting problems either in order to research further. We hope this booklet will guide and inspire readers to these fields....

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前言 数论这门学科最初是从研究整数开始的, 所以叫整数数论. 后来整数 数论又进一步发展, 就叫做数论了. 确切地说, 数论就是一门研究整数性 质的学科. 数论和几何学一样, 是古老的数学分支. 数论在数学中的地位是特殊的, 高斯曾经说过:“数学是科学的皇后, 数论是数学中的皇冠”. 虽然数论中的许多问题在很早就开始了研究, 并得到了丰硕的成果, 但是至今仍有许多被数学家称之为“皇冠上的明 珠”的悬而未解的问题等待人们去解决. 正因如此, 数论才能不断地充 实和发展, 才能既古老又年轻, 才能始终活跃在数学领域的前沿. Foreword Number theory, this discipline was originally started from the study integer, so called integer number theory. Later integer further development of number theory, number theory called up. Rather, number theory is an integer of study qualitative disciplines. Number theory and geometry, is an ancient branch of mathematics. Number theory in mathematics position is special, Gauss once said: "Mathematics is the queen of sciences, number theory is the mathematics of the crown. "Although many of the problems in number theory began very early in the research, And has been fruitful, but there are still many of the mathematicians call "crown Ming Pearl "of unsolved problems waiting to be solved for this reason, number theory can continue to charge Real and development in order to both old and young, can always active in the forefront of the field of mathematics....

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目录 第一章Smarandache 函数1 1.1 引言. . . . . . . . . . . . . . . . . . . . . . . . 1 1.2 S(n) 函数和d(n) 函数的混合均值. . . . . . . . . . . . 4 1.3 关于F.Smarandache 函数S(mn) 的渐近性质. . . . . . . . 6 1.4 复合函数S(Z(n)) 的均值. . . . . . . . . . . . . . . . 7 1.5 是否为整数的问题. . . . . . . . . . . . . . . 10 1.6 关于函数S(n) 的一个方程. . . . . . . . . . . . . . . 13 1.7 关于函数S(nk) 的一个方程. . . . . . . . . . . . . . . 15 1.8 关于Smarandache 函数值的分布. . . . . . . . . . . . . 17 1.9 S(ak(n)) 函数的值分布. . . . . . . . . . . . . . . . . 21 1.10 两个包含Smarandache 函数的方程. . . . . . . . . . . . 25 1.11 S(n) 函数及其均值. . . . . . . . . . . . . . . . . . 27 第二章Smarandache 对偶函数 . . . . . . . . . . . . . . . . .30 2.1 引言. . . . . . . . . . . . . . . . . . . . . . . . 30 2.2 Smarandache 对偶函数的渐近公式. . . . . . . . . . . . 30 2.3 关于Smarandache 对偶函数的一个方程. . . . . . . . . . 33 2.4 关于Smarandache 对偶函数S¤¤(n) . . . . . . . . . . . 37 2.5 一个包含SM(n) 函数的方程. . . . . . . . . . . . . . 40 2.6 一个包含Smarandache 对偶函数的方程. . . . . . . . . . 44 第三章关于SL(n) 函数及其对偶函数的性质 . . . . . . . . . . . . . . . . .48 3.1 引言. . . . . . . . . . . . . . . . . . . . . . . . 48 3.2 SL(n) 函数的渐近公式. . . . . . . . . . . . . . ....