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Florentin Smarandache's account on his visit to Atlanta to participate in the International Conference on Granular Computing, organized by the famous international association of electricity and electronics engineers, on behalf her official Institute of Electrical and Electronics Engineers, Inc., who write shorthand IEEE (American scholar in folklore)....

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Merg cu maşina din Gallup, statul New Mexico, SUA, oraşul meu de reşedinţă, la Albuquerque, de unde voi lua avionul pentru Atlanta, capitala statului Georgia, pentru a participa la Conferinţa Internaţională de Calcul Granular (IEEE – GrC 2006), organizată de celebra asociaţie mondială a inginerilor din domeniile electricităţii şi electronicii, pe numele ei oficial Institute of Electrical and Electronics Engineers, Inc, care se scrie prescurtat IEEE (în folclorul savanţilor americani)....

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Conferinţa internaţională de calcul granular . Un drum cu... teroare! .................................................. 6 . Ghidaj urban după hartă ............................................... 8 . Suprema onoare – sunt citat de Zadeh ....................... 12 . Asiaticii – 70 % din participanţi! ............................... 13 . În „bucătăria” calculului granular .............................. 14 . Cine-i mai inteligent: omul sau maşina? .................... 16 . În cel mai mare acvariu din lume ............................... 17 . În Atlanta, Pe aripile vântului ................................... 20 . Afacere sau for ştiinţific?! ......................................... 23 . Plimbare cu chinezi prin Atlanta ................................ 25 . Cambei! la restaurantul chinezesc ............................. 27 . Sponsorizarea salvatoare ............................................ 29 . „Exilat” la... clasa I! ................................................... 29 Manneken-Pis! Pregătiri de drum pentru Bruxelles ............................ 31 . Un „Boeing” scuturat! ...........................................

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NASA commissioned a study of the management of the Surveyor and Lunar Orbiter projects.

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Essays dedicated to the new media, doing business on the web, digital content, its creation and distribution, e-publishing, e-books, digital reference, DRM technology, and other related issues....

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A biomass gassifier uses 75% less wood than a camp fire! It takes less than 30 minutes and two empty tins to build one. It is ideal in combination with a hay (wonder) box. We filmed the construction and uploaded it on Youtube (link at end of the booklet). If you like with ebook, please visit our website: www.centerclinic.wordpress.com or our YouTube channel: center for Children in Need....

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The World Public Library Association is the world’s largest aggregator of eBooks. Founded in 1996, the World Public Library Association is a global coordinated effort to preserve and disseminate historical books, classic works of literature, serials, bibliographies, dictionaries, encyclopedias, and other heritage works in a number of languages and countries around the world. World Public Library is a IRC 501(c)(4) Organization, organized Not for profit, but operated exclusively for the promotion of social welfare. Our mission is to serve and aid the public, students, and educators, by providing the world's most complete collection of electronic books, documents, and articles online, as well as offer a variety of services and resources that support and strengthen the instructional programs of education, elementary through post-baccalaureate studies. Access to the complete holdings of the World Public Library is open to the general public for personal use, members receive an eLibrary Card allowing them unlimited accessto our complete holdings....

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Franklin D. Roosevelt - “The public library is a nation’s act of believing in the capacity of its own people so to learn from the past that they can gain in judgement in creating their own future.” The traditional library is changing, fast. Paper books,and the multi-level structures that house them, are becoming a thing of the past while digital books, eBooks, pave the way for a new future of instant, worldwide accessibility to knowledge. The World Public Library is at the forefront of this movement. I. History A. Purpose of the Library 1. Origins Hi, I’m Mia with the World Public Library and I would like to invite you on a journey through the library’s past present and future. Along the way we will explore what has made the library such a unique and important place historically and what the World Public Library is doing today to make the library more useful and vital than ever before. It’s impossible to think about the progress mankind has made without calculating the role that the library has played. Any city that has had a great impact on learning has had a great library behind it, fu...

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The study of bialgebraic structures started very recently. Till date there are no books solely dealing with bistructures. The study of bigroups was carried out in 1994-1996. Further research on bigroups and fuzzy bigroups was published in 1998. In the year 1999, bivector spaces was introduced. In 2001, concept of free De Morgan bisemigroups and bisemilattices was studied. It is said by Zoltan Esik that these bialgebraic structures like bigroupoids, bisemigroups, binear rings help in the construction of finite machines or finite automaton and semi automaton. The notion of non-associative bialgebraic structures was first introduced in the year 2002. The concept of bialgebraic structures which we define and study are slightly different from the bistructures using category theory of Girard's classical linear logic. We do not approach the bialgebraic structures using category theory or linear logic....

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During the five years since publishing, we have obtained many new results related to the Smarandache problems. We are happy to have the opportunity to present them in this book for the enjoyment of a wider audience of readers. The problems in Chapter two have also been solved and published separately by the authors, but it makes sense to collate them here so that they can be better seen in perspective as a whole, particularly in relation to the problems elucidated in Chapter one. Many of the problems, and more especially the techniques employed in their solution, have wider applicability than just the Smarandache problems, and so they should be of more general interest to other mathematicians, particularly both professional and amateur number theorists....

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A science café is a conference upside-down. The location is where people, and not experts are at home; ina café, in a pub, in a public place. The discussion is driven by the public, and the experts are asked to follow it. In this book we shall try to examine several aspects of this participation practice....

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What is a science café The SciCafé project How to start a café Technology for a science café Scenarios Into the world

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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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An Improved Form for Natural Convection Heat Transfer Correlations, Strojniski vestnik?Journal of Mechanical Engineering 51(2005)7-8, pp 374-378

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The first book that addressed the full scope of the new engineering. For more information visit http://thenewengineering.com

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El documento ha sido redactado en forma de carta a una tía imaginaria, recién nombrada Secretaria de Comunicaciones de un país latinoamericano. Este pretexto narrativo nos permite abordar de manera creativa la discusión de temáticas y propuestas que ayuden a sacar mejor provecho de las oportunidades que brindan las tecnologías de información y comunicación, TICs, para el desarrollo humano en la región. ...

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"El problema más serio que nos encontramos al ver programas que tienen que ver con TICs y desarrollo es que muchísimas veces, demasiadas, éstos están desconectados de lo que sucede y se necesita en el mundo real de las personas"....

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1. Construir soluciones concretas 2. Andar al ritmo de la comunidad 3. Aprender de los errores 4. Localizar la comunicación globalizada 5. Trabajar con perspectiva de equidad de género 6. Hablar con voz propia 7. Generar nuevos conocimientos ...

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A través del arte, la literatura, la exploración de ciudad a partir del cuerpo, su casa y el vecindario, los participantes desarrollan experiencias de ciudadanía desde las formas tradicionales y modernas de comunicación. La cuestión central que el documento resolverá es, ¿cómo pueden contribuir las TIC a la construcción de un proyecto de Educación para la vida? De acuerdo con esto, el libro ha sido dividido en 7 capítulos, el primero de ellos dedicado al lugar y el contexto donde se desarrolló el proyecto, el segundo a hacer un recorrido, desde lo local hasta lo continental, sobre los usos de las TIC en la construcción de ciudadanía y gobernabilidad; el tercer capítulo relata el proyecto desde la comunicación y la cultura, el cuarto lo hace desde la educación, el quinto desde la identidad, el territorio y la memoria, el sexto capítulo se enfoca a revisar lo que ocurrió en el proyecto desde la ciudadanía. En el séptimo capítulo desarrollaremos las conclusiones y las perspectivas de trabajo a partir de lo construido. ...

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“La actividad cultural -dice Bernardo Kliksberg- ha sido vista con frecuencia, desde la economía, como un campo secundario ajeno a la vía central por la que debe tratarse de hacer avanzar el crecimiento económico. Ha sido con frecuencia tratada de hecho como un área que insume recursos, que no genera retornos sobre la inversión, funcionales económicamente, que es de difícil medición, y cuya gerencia es de dudosa calidad. A su vez también ha existido desde el terreno de la cultura, una cierta tendencia al auto encierro, sin buscar activamente conexiones con los programas económicos sociales. Todo ello ha creado una brecha considerable entre cultura y desarrollo. Ese estado de situación significa pérdidas considerables para la sociedad”...

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1 EL LUGAR DE TRABAJO Agradecimientos 9 El universo en un grano de arena 56 ¿Qué es el proyecto De la Calle a la Escuela?11 Introducción 13 La Estructura Del libro 49 Ventana 53 Recapitulando 61 2 TIC Y EDUCACIÓN PARA LA VIDA Una revisión general 64 El complejo camino hacia una democracia de los ciudadanos 71 El entorno regional: América Latina y el Caribe 65 Los cambios 68 La vida en Colombia 72 Recapitulando 75 3 COMUNICACIÓN Y CULTURA En el ojo de las TIC y la Educación para la Vida 78 Primer año. Conectividad: entre la euforia, el desencanto 79 La experiencia de ciudadanía y TIC vista desde la perspectiva de género 87 Segundo año. La conexión indirecta en una ciudad Palimpsesto 89 Tercer año. Internet y radio: una alianza para la educación 91 Radios para la vida 92 Niños y niñas: Las diferencias 99 TIC, escuela y vecindario 93 Las reuniones barriales: Comunicación y cultura a la Calle 100 Las percepciones desde el foro 101 Recapitulando 103 4 EDUCACIÓN En la calle y en la Escuela 106 Las estrategias de aprendizaje 112 Las evaluaciones 117 Recapitulando 121 5 IDENTIDAD, TERRITOR...

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While your child will enjoy doing Gol-Gol Games, you as the parent/ teacher/ facilitator may need to figure out how to guide your child through Gol-Gol Games, or play the game with your child. This is a useful companion book to Gol-Gol Games Volume 1, designed to help you guide the child, while both of you have fun....

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We are trying to use the “Socratic” method, as in asking questions and letting children think about the answers. We suggest you allow children to think and write the answers. Try not to draw either the objects or the circles for the child. Try to avoid suggesting techniques and methods of thinking. Children can develop their own ways of thinking. Less help in finding answers is a good thing for children! It makes them think. More time in finding answers is a very good thing for children! It makes them think without pressure. Read a book while the child draws. Relax....

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The role of the guide Suggested solutions for words and circles Suggested solutions for adding circles

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This book is a universal dictionary of arts and sciences. It contains the definitions of the terms in several arts, liberal and mechanical, and also several sciences. Encyclopedie is was a translation of "Cyclopaedia" into French. As Diderot translated the book, he came up with the idea that it should not be limited to just the arts and science but every branch of knowledge that should be learned by man. It was a project that was 20 years in the making before it was finally completed....

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Imaginamos escenarios posibles y mejores a través de un proyecto; planeamos ese escenario, hacemos cuentas, pensamos, escribimos y avanzamos en lo que hemos imaginado. Al tiempo nos damos cuenta que lo imaginado no fue con exactitud, que algo faltó o sobró. Hay proyectos a muy corto plazo, como una comida entre un grupo; hay otros para toda la vida como la gestación de un ser humano, hay otros proyectos que salen del marco familiar y se meten en otros vecindarios, buscando mejorar lo presente. ...

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Una comunidad de aprendizaje asume que toda comunidad humana posee recursos de aprendizaje, agentes instituciones y redes que necesitan ser identificadas, valoradas, desarrolladas y articuladas para asegurar las necesidades de aprendizaje de todos en la comunidad. Una comunidad de aprendizaje adopta una visión amplia de educación y coloca el aprendizaje en el centro, abarcando educación, talleres y ambientes de aprendizaje. Una comunidad de aprendizaje está basada en la premisa de solidaridad, cooperación y alianzas entre casa y escuela, educación fuera y dentro de la escuela, instituciones privadas y públicas, a la par de un recurso humano, alrededor de una estrategia compartida de desarrollo y transformación comunitaria. ...

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Agradecimientos 9 Perfil de la institución responsable 11 Presentación 13 Introducción y resumen 15 La región del proyecto 17 PRIMERA PARTE Plano general 1. Lo que imaginamos 21 2. Lo que no previmos 33 3. Lo previsto 40 4. Lo que iba quedando 43 5. Lo que quedará 52 6. Conclusiones y recomendaciones 58 7. Entrega de cuentas 63 SEGUNDA PARTE Primer plano 1. Raíces en movimiento. Experiencia de construcción de ciudadanía 67 2. Los talleres 78 3. Los foros 92 4. Las exposiciones y ferias 100 5. Los ciclos de cine 103 6. Lo que cuenta la ciudad: La radio una excusa pedagógica 107 7. Palabras para entendernos 116 8. Anexos 125 ...

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Professor Florentin Smrandache is invited to spend a period of three months time at the Research Institute of Extension Engineering at Guangdong University of Technology in China in order to conduct research on extenics....

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Cu moralul extrem de ridicat, alerg pe autostrada I-40 din Gallup spre aeroportul din Albuquerque. Urlă muzica. Ferestrele deschise. Muzică populară românească, din Banat şi Oltenia, la casetă. Am înregistraţi şi pe cântăreţii mei din Bălceşti: Vasile Oprea (Vasilică a lu’ Tirina, vecinul meu), Mărin Covrig (coleg de şcoală primară şi generală), Gheorghe Lupu (mai mare cu doi ani ca mine, stătea peste drum de casa mea)....

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Application / 3 Invitation / 8 Extensica. Fotojurnal instantaneu din Canton / 9 Certificate / 170 Letter / 171

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This book is designed to provide a two year craft program that can be easily implemented at senior centers. Because a large amount of craft preparation needs to be done before the craft can be taken to a senior citizens home, the book is ideal for large groups. It is composed mainly of paper crafts, as they are relatively inexpensive and easy to make. All of the crafts have been taught successfully at senior citizen homes. Though it was written to be used with seniors, the crafts are great for people of any age....

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Working with the Senior Citizens: For those of you who have never before worked with senior citizens, here are some tips to keep in mind. Remember to:  Speak loudly and clearly --many of them are hard of hearing --if they don’t respond to a question, chances are they couldn’t hear you, so ask again  Offer to assist them on each step, if need be, do the entire project for them --many of them have arthritis or limited mobility in their hands  Ask them for their name and about their day --most enjoy talking to young people☺  Compliment them or their project  Let them choose the colors they want to use on their project...

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Tissue Paper Flowers-4 Tissue Paper Pressing-7 Decoupage with Tissue Paper (Door Hanger)-10 Decoupage with Fabric-12 Beaded Bracelet-13 Seasonal Triangular Box-14 Pull Out Card-18 Paper Bookmark-21 Picture Frame Card-23 Candy Spider-25 Paper Jack-o-lantern-28 Fall Greeting Card-30 Turkey Treat Holder-32 Paper Snowflakes-35 Summer Fan-37 Paper Lollipop Flowers-39 Spring Flower Wreath-41 Spring Flower Pot Wall Hanging-44 Owl Greeting Card-47 Valentine’s Day Card-50 Two Year Plan-52 Preparations for Large Groups-53 to 58 Templates-59 to 62...

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

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A how to book on Chinese construction, in theory and practice.

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Abstract: A tendering is a negotiating process for a contract through by a tenderer issuing an invitation, bidders submitting bidding documents and the tenderer accepting a bidding by sending out a notification of award. It is a main measure for completing market economy in China. According to laws and new regulations, rulers and codes new issued, this book introduces fundamental knowledge and techniques in theory and practice for a construction contract by bids, such as those of macro-economic policies, investing and constructing management, the tendering and bidding law with its regulations and how to compile a qualification document for a designing, consulting, constructing, purchasing project or a corporate body of a project management. By Smarandache multi-spaces, a mathematical evaluation model for bids is established and examples are included. The Tendering and Bidding Law of China, 5 regulations related and 100 answers for tendering and bidding in China can be found in the attachment. It is referable to researchers on theory or persons working in purchasing and students in universities....

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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-two (32) 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 bu...

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This volume contains the history of Hawaii's last reigning king, David Kalakaua. It covers all the way from the beginning (birth) of David Kalakaua, his time as king, and all the way to his death. A highly respected man of his time, this book was written to educate the students with a piece of Hawaiian history and the story of our last king of Hawaii....

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Kalakaua's name translates literally as "The Day [of] Battle." As his life matched his name, King David Kalakaua's reign was very much a daily battle between Hawaiian traditions and values and Western influences.After his death this king has come to be recognized as a "renaissance man," a modern man of many talents and interests. However, in life his heart was like that of his forefathers, the Hawaiians of old. His story is of a man who faced the challenges of his time and survived as best he could....

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Preface -- vii -- Acknowledgments -- ix -- Introduction -- 1 -- Birth and Hanai -- 3 -- Early Years -- 8 -- Kalakaua Rex -- 13 -- Kapiolani -- 17 -- The Merrie Monarch -- 21 -- Kalakaua, the Renaissance Man -- 27 Music -- 27 Writing -- 33 -- Technology -- 36 -- History -- 41 -- Fashion -- 45 -- Kalakaua and the Reciprocity Treaty -- 46 -- Iolani Palace -- 50 -- Kalakaua, the World Traveler -- 55 -- Crowns for a King and Queen -- 62 -- The King's Birthday -- 66 -- Claus Spreckels -- 70 -- Celso Moreno -- 74 -- Walter Murray Gibson -- 77 -- Times Were Not Always Merry -- 83 -- Robert Wilcox -- 90 -- Kalakaua's Friend -- 94 -- Kalakaua and the Edison Recording -- 98 -- Kalakaua Comes Home -- 102 -- Conclusion -- 108 -- Bibliography -- 111 --...

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The paper has been drafted in the form of a letter to an imaginary aunt who has recently been appointed Secretary of Communications in a Latin American country. This device allows for a creative approach to discussing issues and proposals for taking better advantage of the opportunities offered by information and communication technologies (ICTs) for human development in the region....

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“A person waking up today from a hundred years' sleep would get quite a fright. Many things would have changed, but I think the most shocking impression would be that the world has become much smaller. Not only can we travel around the globe in much less than 80 days, but money and information can do so in seconds. Markets, wars and products are all becoming globalized, as are environmental impacts and the circulation of ideas”. ...

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1. Offer concrete solutions 2. Move forward at the pace of the community 3. Learn from mistakes 4. Localize globalized communication 5. Work with a gender perspective 6. Let people speak with their own voice 7. Generate new knowledge ...

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ELT teachers' personal philosophy statements and reflections on the issue of classroom discipline.

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Teaching or imposing discipline? A teacher's dilemma.

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Contents Introduction page 1 Enhancing student self-discipline through a process of promoting positive achievement and behaviour by Eleni Aliataki 3 “Stir and Settle”: the key points for a successful classroom by Eleni Chatziandreou 13 Classroom management: mix and match and be prepared to adjust by Ioanna Chioni 18 Teaching: a mission never accomplished? by Dimitra Chioti 25 The art of classroom discipline: tricks and tips for teachers by Dimitra Dalpanagioti 30 The Holy Grail of classroom management by Marika Dimitriadou 35 Teaching or imposing discipline? a teacher’s dilemma by Zacharenia Dimitriadou 46 My personal philosophy statement on classroom management by Maria Koukourikou 51 Does a teacher possess the power to make a child’s life miserable or joyous? by Chryssoula Lazou 58 Keep calm, be aware and teach on! by Sophia Petridou 67 Abbreviations 73 ...

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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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During my research period in the Summer of 2012 at the Research Institute of Extenics and Innovation Methods, from Guangdong University of Technology, in Guangzhou, China, I have introduced the Linear and Non-Linear Attraction Point Principle and the Network of Attraction Curves, have generalized the 1D Extension Distance and the 1D Dependent Function to 2D, 3D, and in general to n-D Spaces, and have generalized Qiao-Xing Li’s and Xing-Sen Li’s definitions of the Location Value of a Point and the Dependent Function of a Point on a Single Finite Interval from one dimension (1D) to 2D, 3D, and in general n-D spaces. Then I used the Extenics, together with Victor Vlădăreanu, Mihai Liviu Smarandache, Tudor Păroiu, and Ştefan Vlăduţescu, in 2D and 3D spaces in technology, philosophy, and information theory....

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Contribution to Extenics (Preface by Florentin Smarandache): 4 1. Generalizations of the Distance and Dependent Function in Extenics to 2D, 3D, and n-D, by Florentin Smarandache: 22 2. Applications of Extenics to 2D-Space and 3D-Space, by Florentin Smarandache, Victor Vlădăreanu: 39 3. Generalization of the Dependent Function in Extenics for Nested Sets with Common Endpoints to 2D-Space, 3D-Space, and generally to n-D-Space, by Florentin Smarandache: 52 4. Generalizations in Extenics of the Location Value and Dependent Function from A Single Finite Interval to 2D, 3D, and n-D Spaces, by Florentin Smarandache, Mihai Liviu Smarandache: 60 5. Extention Transformation Used in I Ching, by Florentin Smarandache: 69 6. Extenics in Conventional and Nonconventional [Romanian], by Florentin Smarandache, Tudor Păroiu: 79 7. Extension Communication for Solving the Ontological Contradiction between Communication and Information, by Florentin Smarandache, Ştefan Vlăduţescu: 99-112...

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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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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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• A very unique ValueArt+Com project. Composed in Mainz/Germany, the hometown of Johannes Gutenberg and the hometown of the culture of communication. • Dedicated to all of us, to become or to keep smart communicators! • The iBook publishing process for iPad will start soon. Via gutenberg.org you could have a preview (without animations and videos, for sure!). Background „The moment I have prepared the scenario for my research project, I wanted it to be something entertaining but serious to provide an effective scientific learning about the real value of communication via experiencing a beautiful city; Mainz as a cultural center of communication. As a Sociology student from Bogazici University, Istanbul, I have created this iBook with a professional analyst, Andreas Weber, in order to showcase the interviews, blog posts and researches we have created as a content for Value Art+Communication Project as a part of my official work in Value Communication AG, Mainz.“ About the iBook It is all about art and culture as key issues of communication! — The German city Mainz is situated in Rheinland-Pfalz state with a rich c...

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“Johannes Gutenberg was our first geek, the original technology entrepreneur, who had to grapple with all the challenges a Silicon Valley startup faces today.” —Jeff Jarvis (Introduction by 
Şükran Ceren Salalı, Value Art+Communication Fellow, Istanbul) I always enjoy meeting new people from various countries and different perspectives as a Sociology student from Turkey. After doing my AFS Exchange Program in Belgium and getting involved in an international peace project in the Netherlands, I said “why not to apply the Erasmus internship program which gives an opportunity to work in different European countries for 3 months”. The city of Mainz was a kind of un-existing place for me a few months ago. I have never heard the name of this beautiful city when I was in Turkey. I think, and also what I have heard so far, when it comes to speaking about Germany, is that most of the people from other countries only know; cities like Berlin, Frankfurt, or Nürnberg, but not Mainz. When I have arrived here to start my Erasmus internship in an international research and publishing company, Value Communication AG in where I get the chan...

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Hello! I am 
Şükran. Hello Mainz! "Mainz bleibt Mainz" About the project Interviews Appendix (Smart Communication) The perfect trio Epilog (Gutenberg's Dream)...

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