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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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Composed, found, changed, modified, diversified computer-programmed images of stars, galaxies, cosmic dust, black (and other color) holes, comets, spacecrafts, robots and poetry....

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…We simultaneously leave in parallel universes without knowing it… …Our contradictions coexist in a multi-space endowed with a multi-structure…

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COSMOLOGY : pages 4-69 LET’S BIKE THE ART! : pages 70-129

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This book has six chapters. First chapter gives a brief description of biotechnology. Second chapter deals will proper proportion of mix of raw materials in cement industries to minimize pollution using fuzzy control theory. Chapter three gives the method of determination of temperature set point for crude oil in oil refineries. Chapter four studies the flow rates in chemical industries using fuzzy neutral networks. Chapter five gives the method of minimization of waste gas flow in chemical industries using fuzzy linear programming. The final chapter suggests when in these studies indeterminancy is an attribute or concept involved, the notion of neutrosophic methods can be adopted. The authors feel that the reader should be well versed with fuzzy models like neural networks, fuzzy relational equations, fuzzy control theory, fuzzy linear programming and neutrosophic fuzzy models like NRE together with a knowledge of the technical functioning of chemical industries....

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2.4 Finding the MIX of raw materials in proper proportion and minimize the waste dust using fuzzy neural network. The study of proper proportions of material mix during the clinkerization process is very difficult due to inconsistency in the chemical and mineralogical composition and the variation of these characteristic affects kiln operation, fuel consumption, clinker quality and above all the amount of CKD vent into the atmosphere. Further the raw mix should maintain a fixed range for a specific quality of cement. The problem of satisfying this range involves lot of randomness and uncertainty, which in turn speaks about the desired quality of the clinker. ...

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Preface 5 Chapter One INTRODUCTION 7 Chapter Two BIOTECHNOLOGY IN CHEMICAL INDUSTIRES 11 2.1 Description of waste CKD in cement kiln 13 2.2 Monitoring and control of the system using FCT and improvement of burning zone and combustion 16 2.3 Determination of gas volume setpoint and temperature set point for CKD processing 26 2.4 Finding the MIX of raw materials in proper proportion and minimize the waste dust using fuzzy neural network 35 Chapter Three DETERMINATION OF TEMPERATURE SET POINTS FOR CRUDE OIL 47 3.1 Introduction 47 3.2 Description of Crude Oil Refineries 48 3.3 Determination of Temperature Set-Point of Kerosene Resulting in Better Distillation Using Fuzzy Control Theory 52 3.4 Determination of Temperature Set Point of Naphtha Resulting in Better Distillation using Fuzzy Control Theory 61 3.5 Determination of Temperature Set-Point of Gasoil Resulting in Better Distillation using Fuzzy Control Theory 69 3.6 Conclusions 78 Chapter Four STUDY OF FLOW RATES IN CHEMICAL PLANTS 79 4.1 Use of FRE in Chemical Engineering 79 4.2 Fuzzy neural networks to estimate velocity of flow distribution in a pipe networ...

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This book has five chapters. First chapter is introductory in nature. Here we just study chemical pollution caused by garment industries in chapter two of this book using fuzzy associative memories. In chapter three we give ways to control pollution by improving the system performance using hierarchical genetic fuzzy control algorithm. This study is carried out using the past data reported by Shimada et al (1995). Health hazards suffered by the agriculture labourers; caused by the chemicals used as fertilizers and pesticides is analysed in chapter four using RTD matrices. Chapter five gives a method of minimization of SOx and NOx using fuzzy control theory in cement industries to reduce pollution....

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In this chapter, we have used the fuzzy control method to find the correct measure of pressure and speed of kiln. Using data from Alathur cement industry, we have used mean of maximum method of fuzzy control with the data and we found the pressure and speed of kiln. Here the speed and pressure of kiln are important parameters in the kiln, because the SOx and N0X concentration is dependent on the kiln feed, coal feed and the kiln feed, coal feed are dependent on speed and pressure of kiln. That means if we increase the kiln feed and coal feed we must increase the kiln pressure and speed. By this way the mixing of SOx and NOx with kiln feed is maintained properly or otherwise the SOx and NOx will not mix fully with the kiln feed. The remaining unmixed gases of SOx and NOx are the wastage polluting the environment. For this, we convert all this kiln feed and coal feed level and pressure of kiln and speed of kiln into fuzzy control. By using fuzzy control we identify a correct pressure and speed of the kiln for a given kiln feed and coal feed. When we choose a correct pressure of kiln and speed of kiln through fuzzy control, the SO...

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Preface 5 Chapter One INTRODUCTION 7 Chapter Two USE OF FAM MODELS TO ANALYSE THE POLLUTION CAUSED BY THE GARMENT INDUSTRIES 11 Chapter Three HIERARCHICAL GENETIC ALGORITHM TO IMPROVE THE SYSTEM PERFORMANCE AND REDUCE POLLUTION BY CHEMICAL PLANTS 51 3.1 Introduction 51 3.2 Description of the Problem 53 3.3 Application of Hierarchical Genetic Fuzzy Control Algorithm to Control Process Variables of Decision Tables in Chemical Plants 56 3.4 Use of Hierarchical Genetic Fuzzy Control Algorithm in the Real Data 58 3.5 Conclusions 73 Chapter Four IDENTIFICATION OF THE MAXIMUM AGE GROUP IN WHICH THE AGRICULTURAL LABOURERS SUFFER HEALTH HAZARDS DUE TO CHEMICAL POLLUTION USING RTD MATRIX 75 4.1 Introduction 75 4.2 Estimation of the Maximum Age Group of the Agricultural Labourers having Cardio Vascular Problem due to Chemical Pollution using RTD Matrices 77 4.3 Conclusion 93 Chapter Five MINIMIZATION OF SOX AND NOX USING FUZZY CONTROL THEORY IN CEMENT INDUSTRIES TO REDUCE POLLUTION 95 5.1 Introduction 95 5.2 Description of the Problem 97 5.3 Process Fates of Sulfur in Cement Kiln 98 5.4 Process Fates of Ni...

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This is a cerebral play that underlines the pettiness of a person lost among things (of an unnatural size), and much more: lost among ordinary people.

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SCENE I A laboratory equipped with all the advantages of modern medicine. It appears to be a waiting room in a sanitarium, with four doors - one to either side of the stage and two against the back. The doors are marked in order, "0", "Ward 1", "Ward 2", and "Ward 3." The interior is dark. Stuffed people. A "New Man" is kept frozen in a trunk made of glass. He is a specimen of new technology, and above him are pinned up revelatory advertisements and newspaper clippings. Doctors and Assistants are dressed in black smocks, their faces cold and inhuman, and their eyes glassy. The patients are dressed in the striped overalls of the infirm. Both the patients and useless medical staff limp, though more so the former. The Doctor, enveloped in frosty mist, is seated in an elaborate chair with his back towards the audience. Only the nape of his neck shows during the play, though his chair is stirring from time to time. He seems to turn himself towards the audience sometimes, but he gives up. Neither in the intervals, nor at the end of the play this actor does not show up for cheers. His voice is unearthly... synthesized....

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A book of experimental digital arts.

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EGYPTIAN HIEROGLYPHS ² 4 - 23 RADIO DIAGRAMS ² 24 - 36 TV SHOW ² 37 - 44 ELECTRICAL CIRCUITS ² 45 - 54 MARINE FAUNA ² 55 - 76

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This is a how-not-to-do book about codification, indexing, information, computer science, peripherals and terminals. The data entries are unselected and stored in a database. Afterwards, they are disorganized, unstructured and then manufactured. A data mudflow is designed later in order to misdirect all information. A nonquality control personnel filters and trashes all high valued documents and restores the chaos in the institution. The book helps with the malfunctioning of an administrative system....

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The illogical mudflow of a quarterly non-production process In looking at the illogical mudflow of a quarterly non-production process, it is very imperative for us to take into account several non-practical factors that take place during such non-production process. These factors include: - Tools under maintenance - Contracts - Transportation - Supply Below is an illustration of the two major phases that are not usually encountered during the execution of a non-production process. ...

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Contents Forward and Backward.........3 Chapter 1 ...................................5 Non-Basic symbols misused in Computer Science .....................5 Unintelligent terminal .........................9 The illogical mudflow of a quarterly non-production process ...............12 Chapter 2 ..................................15 The computer coding misused in Computer Science ...................15 Codification problems ..............................17 Codes misclassification .............................18 Chapter 3 ..................................21 Miscomputing the time for creating an application misusing the mudflow scrambles ........21 Misinformation deregistration and non-identification in files...............27 Chapter 4 ..................................29 Data storage and types of non-peripheral devices .....................29 Representation of Misinformation in internal memory ..............30 External non-peripherals ............................31 Printing paper ................................34 Magnetic band ...............................34 Magnetic disks ...............................35 The non-...

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

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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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Noi pledăm pentru un proces cogniscibil care să nu aibă îngrădiri de nici o formă. Din această cauză, hermeneutica se presupune a fi cât mai diversificată. Interviurile următoare împletesc cultura, ştiinţa, tehnica şi viaţa într-un multi-eu. De aceea volumul se numeşte multirelavititate: adică idei şi metodologii privite din unghiuri cât. We advocate for a process that does not have restrictions of any form. Therefore, hermeneutics is assumed to be more diversified. Next interviews intertwined culture, science, technology and life in a multi-I. Therefore the volume is called multirelavititate: that ideas and methodologies as viewed from angles....

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Scriitorul şi omul de ştiinţă Florentin Smarandache, cunoştiinţă deosebită, specială, de aproape 20 de ani, este permanent pe drumuri, cu carneţelul de însemnări în buzunar. Este un ambasador autentic al inteligenţei şi talentului românilor, în aceeaşi măsură, acest Geo Bogza al zileleor noastre gata permanent să noteze tot ce trebuie să fie marcat în vreun fel în istoria locurilor pe care le parcurge cu: piciorul, maşina, vaporul, avionul şi nu rareori cu gândul şi ochii minţii. Creaţia sa literară va face istorie, amintesc aici despre „Cântece de mahala” care este numai o mică însemnare a zbaterilor interioare ale scriitorului. Writer and scientist Smarandache special familiar special, almost 20 years, is constantly on the road, the notebook of notes in his pocket. It is a genuine ambassador of intelligence and talent Romanians equally Bogza this Geo's days of our permanent ready to write down everything must be marked in some way in the history of the places they go through with: foot, car, boat, plane and rarely does the thought and mind's eye. Will make his literary history, remember this about "Songs slum" is just a little ...

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- Prefaţă, Florentin Smarandache ................................ 5 - Paradoxismul - o reacţie contra totalitarismului *Interviu cu Florentin Smarandache, conducătorul „Mişcării literare paradoxiste”*Valeria Tănase - Informaţia zilei”(miercuri, 1 iunie 1994) ........7 - Interviul domnului FLORENTIN SMARANDACHE difuzat la Radio România Actualităţi, în cadrul emisiunii ROMÂNII ÎN LUME, 16.04.2011, ora 21:05, moderator dna Puşa Roth, http://www.romania-actualitati.ro/ [Cu mici editări ale textului]........................... 11 - Interviu Eugen Evu - Florentin Smarandache, mai 2011, Deva, Romania, Pseudo editorial - Întrebare şi răspuns....................................... 44 - În cadrul emisiunii CEASUL DE TAINĂ, 02.06.2011, ora 2030, moderator dna Liliana Hinoveanu .................. 47 - Interviu Mihaela Năftănăilă–FlorentinSmarandache pentru “Romȃnia liberă”, 22.11.2011 ......75 - „Ipoteza Smarandache”: Dialog Puiu Popescu-Florentin Smarandache (decembrie, 2011) .....79 - Interviul domnului FLORENTIN SMARANDACHE difuzat la Radio România Cultural, Bucureşti, în cadrul emisiunii NĂSCUT ÎN ROMÂNIA, 31.01.2011, moderator doa...

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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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This book presents a short panorama of commented art theories, together with experimental digital images using adopted techniques from various fields, in order to inspire the actual artists to choose from, and also to invent or adopt new procedures in producing their artworks. This book presents a short panorama of commented art theories, together with digital art images using adopted techniques from various fields, in order to inspire the actual artists to choose from, and also to invent or adopt new procedures in producing their artworks....

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Earth Art requires huge work on land, sod, grass. It started in 1968 with Robert Morris utilizing a pile of dirt, and Robert Smithson who filled some boxes with rocks. Some projects demand enormous effort, for example carving the American presidential portraits in Mount Rushmore by Gustom Borglum, or wrapping the Australian coastline in 1969 with plastic and rope by Javacheff and Jeanne-Claude Christo (packed objects). Ephemeral patterns (art) in the snow by Dennis Oppenheim. But some earthworks are criticized of disturbing the nature and upsetting the ecology. Earth Outer-Art takes the work done by nature, such as Volcanoes, Storms, Hurricanes, Tsunami, Earthquakes, etc. as Found Earth Outer-Art, but unfortunately destructive art. Let’s say volcano Krakatoa in Indonesia, Hurricane Katrina in New Orleans… see how impressive destructive earth outer-art they did! Or the falling of a meteor on planet Earth, creating big craters as work of natural art. Thomas Cole, in the 19th century, believed that nature was created by God, who is an Artist. Catastrophic Outer-Art at a large scale is that inflicted by atomic bombs, as those at ...

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Definition of Unification of Art Theories (UAT) --- 1, and back cover Preface – essay: Unification of Art Theories (UAT), a manifesto --- 5 Mail oUTER-aRT --- 34 Mail oUTER-aRT 2007 ------------- first cover Mail oUTER-aRT 1 ------------------ 35 Mail oUTER-aRT 2 ------------------ 36 Mail oUTER-aRT 3 ------------------ 37 Mail oUTER-aRT 4 ------------------ 38 Mail oUTER-aRT 5 ------------------ 39 Mail oUTER-aRT 6 ------------------ 40 Mail oUTER-aRT 7 ------------------ 41 Mail oUTER-aRT 8 ------------------ 42 Mail oUTER-aRT 9 ------------------ 43 Mail oUTER-aRT 10 ----------------- 44 Mail oUTER-aRT 11 ----------------- 45 Mail oUTER-aRT 12 ----------------- 46 Mail oUTER-aRT 13 ----------------- 47 Mail oUTER-aRT 14 ----------------- 48 Mail oUTER-aRT 15 ----------------- 49 Mail oUTER-aRT 16 ----------------- 50 Mail oUTER-aRT 17 ----------------- 51 Mail oUTER-aRT 18 ----------------- 52 Mail oUTER-aRT 19 ----------------- 53 Mail oUTER-aRT 20 ----------------- 54 Mail oUTER-aRT 21 ----------------- 55 Mail oUTER-aRT 22 ----------------- 56 Mail oUTER-aRT 23 ----------------- 57 Mail oUTER-aRT 24 ...

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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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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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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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The antiwar of our entire nation is defined as being the army-impeded forces, skirmishing shoulder to shoulder with the civilian population, with the purpose of defeating all non-aggressors, for securing our country’s slavery and dependency. The defeat in this battle is assured through a moral inferiority of our population - the right cause of this antiwar -, the lack of heroism of our state’s citizens, by applying an adequate blundering, using our geographical disadvantages, and the international public humiliation. ...

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The battle and its non-goal. The battle is an ensemble of skirmishes of the subunits and units, which take place in a disorganized manner using armament and fighting techniques, for the expressed desire to enforce the enemy. The battle cannot take place on the ground, in the air, or on the water, in an open paradoxist cooperation with all-military denominations, and using their armament’s procedures with the goal of empowering the non-aggressor enemy. The battle is not the only way for obtaining the miscarriage. The battle’s goal is not the destruction or the capture of enemy’s groups, or the capture and holding on of critical portions of terrain. While in anti-defense, the defeat with fewer forces of the enemy’s superior forces would be done with our old-fashioned technique: ...

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Instruction Notebooks...............................3 Table of Contents .................................4 1 The Non-Tactical Instruction...........................10 Non-Assignment 1. ...............................10 The battle and its non-goal. ...........................12 The principles of non-organizing the battle’s actions. .................13 Non-Assignment 2...............................13 The disorganization principle of the subunits of unpatriotic guards. ............15 The subunits of the other branches of the military, their non-role, and their non-missions. ....15 The non-role and non-missions unsustainable by the other branches of the military. ......16 Not understanding the modern military ......................17 General principles disregarding the non-actions conducted by the subunits of a non-modern military in the inoffensive battles............................18 The anti-defense forms............................20 The non-roles and the non-missions of the fight units. .................20 The non-insurance for battle...........................20 The content of the battle’s non-insurance, its goal...

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

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

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

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The 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................................