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...This book is organized into 5 chapters. The first chapter introduces real neutrosophic complex numbers. Chapter two introduces the notion of finite complex numbers; algebraic structures like groups, rings etc are defined using them. Matrices and polynomials are constructed using these finite complex numbers. Chapter th...

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...In this chapter we for the first time we define the notion of integer neutrosophic complex numbers, rational neutrosophic complex numbers and real neutrosophic complex numbers and derive interesting properties related with them....

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...Preface 5 Chapter One REAL NEUTROSOPHIC COMPLEX NUMBERS 7 Chapter Two FINITE COMPLEX NUMBERS 89 Chapter Three NEUTROSOPHIC COMPLEX MODULO INTEGERS 125 Chapter Four APPLICATIONS OF COMPLEX NEUTROSOPHIC NUMBERS AND ALGEBRAIC STRUCTURES USING THEM 175 Chapter Five S...

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...FINITE NEUTROSOPHIC COMPLEX NUMBERS W. B. Vasantha Kandasamy Florentin Smarandache ... ...hing and the AuthorsPeer reviewers:Prof. Ion Goian, Department of Algebra, Number Theory and Logic, State University ofKishinev, R. Moldova.Professor ... ... 5Chapter OneREAL NEUTROSOPHIC COMPLEX NUMBERS 7Chapter TwoFINITE COMPLEX NUMBERS ... ... 125Chapter FourAPPLICATIONS OF COMPLEXNEUTROSOPHIC NUMBERSAND ALGEBRAIC STRUCTURES USING THEM 175 ... ...he first time the authors introduce the notion of realneutrosophic complex numbers. Further the new notion of finitecomplex modulo integers is defined... ...osophic modulo integers under addition. i) Find subgroups. 198 ii) Find order of V. iii) Find p-Sylow subgroups of V. iv) Write ...

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...e Root Spiral ( or “Spiral of Theodorus” or “Einstein Spiral” ) is a very interesting geometrical structure in which the square roots of all natural numbers have a clear defined orientation to each other. This enables the attentive viewer to find many spatial interdependencies between natural numbers, by applying simple graphical analysis techniques. Therefore the Square...

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...Another striking property of the Square Root Spiral is the fact, that the square roots of all square numbers ( 4, 9, 16, 25, 36… ) lie on 3 highly symmetrical spiral graphs which divide the square root spiral into 3 equal areas. ( see FIG.1 : graphs Q1, Q2 and Q3 drawn in green color )....

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... The Distribution of Prime Numbers on the Square Root Spiral - H... ... ------------------------------ contribution from “ The Number Spiral “ by - Robert Sachs - ... ...-------------------- 30. June 2007 Abstract :Prime Numbers accumulate on defined spiral graphs, which run through the ... ...hs have the samedirection of rotation and the same “second difference” between the numbers, which lie on thesespiral-graphs. A mathematical analysis s... ... 18 19 829 162 18 14 833 162 18 16 835 162 1811 1181 198 18 13 1183 198 18 17 1187 198 18 19 1189 198 18 ... ...397 216 18 22 1399 216 18 8 1403 216 18 10 1405 216 18 14 1193 198 18 16 1195 198 18 20 1199 198 18 4 1201 198 18 8... ... 1193 198 18 16 1195 198 18 20 1199 198 18 4 1201 198 18 8 1205 198 18 10 1207 198 18 5 1211 198 18 7 1213... ...00 22 13 1453 230 20 17 1187 198 18 10 11x113 1243 222 22 11 1... ...x33 12 1056 186 18 11 155 24 2 5 1121 192 18 19 1189 198 18 11 1055 186 18 ...

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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 i...

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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 han...

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...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 equatio...

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... SMARANDACHE NOTIONS˄PROCEEDINGS OF THE FIFTH INTERNATIONAL CONFERENCE ON NUMBER THEORY AND SMARANDACHE NOTIONS˅ ... ...unm.edu /~smarandache/eBooks-otherformats.htmISBN: 9781599730882Standard Address Number : 297-5092Printed in the United States of America ... ... This Book is devoted to the proceedings of the fifth InternationalConference on Number Theory and Smarandache Notions held inShangluo during March 27... ...onference was a great success and will give a strong impacton the development of number theory in general and SmarandacheNotions in particular. We hop... ...76 3 2 42 20 81 80 120 15 159 53 198 44 237 78 4 7 43 42 82 4... ... 4 7 43 42 82 40 121 120 160 64 199 198 238 84 5 4 44 32 83 82 12... ...74 336 713 92 752 704 791 112 558 216 597 198 636 159 675 324 714 84 753 251 792 ... ... 589 1868 1400 1907 1906 1946 139 1985 7941791 198 1830 60 1869 266 1908 423 1947 1... ... 2033 855 2072 111 2111 2110 2150 300 2189 198 1995 189 2034 791 2073 690 2112 ...

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...r “Wheel of Theodorus” or “Einstein Spiral” or “Root Snail” ) is a very interesting geometrical structure, in which the square roots of all natural numbers have a clear defined spatial orientation to each other. This enables the attentive viewer to find many interdependencies between natural numbers, by applying graphical analyses techniques. Therefore the square root sp...

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...Another striking property of the Square Root Spiral is the fact, that the square roots of all square numbers ( 4, 9, 16, 25, 36… ) lie on 3 highly symmetrical spiral graphs which divide the square root spiral into 3 equal areas. ( see FIG.1 : graphs Q1, Q2 and Q3 drawn in green color )....

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... The Ordered Distribution of Natural Numbers on the Square Root Spiral - Harry K... ...---------------------- 20. June 2007 Abstract : Natural numbers divisible by the same prime factor lie on defined spiral graphs ... ...med as “Spiral of Theodorus” or “Wurzel Spirale“ or “Einstein Spiral” ).Prime Numbers also clearly accumulate on such spiral graphs.And the square num... ...pplication of the Pythagorean Theorem of the right angled triangle. Fibonacci number sequences also play a part in the structure of the Square Root Sp... ... 43 The distribution of the square numbers 4, 9, 16, 25, 36, ... on the Square Root Spiral ... ...11,183,... P5 6,27,66,123,198,... P6 6,30,72,1... ..... P5 6 , 27 , 66 , 123 , 198 , 291 ,...... f1 (x) = 9 x2 - 6 x + 3 f2 (...

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... another and can be read separately. Findings are illustrated with diagrams and tables. The latter have been kept to a minimum as it is often not the numbers but the general behaviour and pattern of numbers that matters. One of the facinations with number problems is that they are often easy to formulate but hard to solve – if ever, and if one finds a solution, new questio...

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...atural Numbers- a few elementary studies on Smarandache sequences and other number problems Henry Ibstedt The surprising beha... ... Rehoboth, USA 2003 Mainly Natural Numbers - a few elementary studies on Smarandache sequences and ot... ...l Numbers - a few elementary studies on Smarandache sequences and other number problems Henry IbstedtGlimminge 2036 ... ...m.edu/~smarandache/eBooks-otherformats.htmISBN: 1-931233-73-XStandard Address Number: 297-5092Printed in the United States of America ... ...rams and tables. The latter have been kept to aminimum as it is often not the numbers but the general behaviour and patternof numbers that matters. On... ...=22 i1 186 196 80 198 118 200 12 184 ...

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...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...

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...lup.unm.edu/~smarandache/eBooks-otherformats.htmISBN: 978-1-59973-103-2Standard Address Number: 297-5092Printed in the United States of America ... ...M, 令α(p) = M , 即就是α(p) 表示不超过 M 的最大整数. p−1 p−198 第六章 Smarandache 函数相关问题 Y设u = pα(p). 对任意满... ... [12] Wang Yongxing, On the Smarandache function. Research on Smarandache Problem in Number Theory (Edited by Zhang Wenpeng, Li Junzhuang and Liu D... ...ansen). Hexis, Vol.II(2005), 103-106. [13] Tom.M. Apostol, Introduction to analytic number theory, New York: Springer- Verlag, 1976, 77. [14] ... ...na, Vol.2148 参考文献(2006), No. 4, 83-86.[22] F. Smarandache, Sequences of numbers involving in unsolved problem, Hexis, 2006,17-18.[23] ... ...tin Smarandache, Definitions, solved and unsolved problems, con-jectures and theorems in number theory and geometry, Xiquan Publishing House, 2000.[24]...

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...eme Smarandache etc. Cartea poate fi descărcată din site-ul. During the period 24 to 25 April 2010 was conducted Sixth International Conference on Number Theory and Smarandache Notions of Tianshui Normal University, China. Conference organizers were prof. Dr. Zhang Wenpeng together from Northwest University in Xi'an and prof. Dr. Wangsheng He Tianshui Normal University....

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...NUI CERCETĂTOR ROMÂN The Sixth International Conference on Number Theory and Smarandache Notions The opening ceremony of the confere... ... Autorul, lângă un palmier – ––– 198 ––– –. ...

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...Generalized Partitions and New Ideas On Number Theory and Smarandache Sequences ... ...A 42402 USAGENERALIZED PARTITIONS AND SOMENEW IDEAS ON NUMBER THEORY AND SMARANDACHE SEQUENCES Hexis ... ...ge © Tyler Brogla and Charles AshbacherISBN: 1-931233-34-9Standard Address Number: 297-5092Printed in the United States of America ... ... Program to ………………. 16 Determine the Number of Smarandache Distinct Reciprocal ... ...rogram For ………………… 64 Determining the Number of SFPs1.15 Chapter References ………………… 70Chapte... ... to an Angle3.16 Smarandache Route …………………. 198 Sequences3.17 Smarandache …………………. ...

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...In this book the notion of semigroups under + is constructed using the MOD natural neutrosophic integers or MOD natural neutrosophic-neutrosophic numbers or MOD natural neutrosophic finite complex modulo integer or MOD natural neutrosophic dual number integers or MOD natural neutrosophic special dual like number or MOD natural neutrosophic special quasi dual numbers ar...

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...ophic integers or MOD naturalneutrosophic-neutrosophic numbers or mod naturalneutrosophic finite complex modu... ...lo integer or MOD naturalneutrosophic dual number integers or MOD natural neutrosophicspecial dual like number or ... ...ike number or MOD natural neutrosophic specialquasi dual numbers are analysed in a systematic way. All these semigroups ... ...tant properties about them are analysed. For the MOD natural neutrosophic numbers please refer [24].For natural product refer [19]. For S-semigroups ... ...situation by some examples. Recall from [24] the MOD natural neutrosophic numbers I n n Zn = {Z , I0 ,It /t is a zero divisor or a non unit o... ...ic elements associatedwith it. Consider Z10 × Z10 = {(a, b) / a, b ∈ Z10}.198 Semigroups on MOD Natural Neutrosophic Elements All natural...

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...A completely new and unique method of multiplication where you can: 1.) Multiply positive numbers, get negative answers, and still achieve the correct positive result. 2.) Attach numbers to one another to bypass multiplication and addition steps. 3.) Choose one of many different paths to solve the same problem bas...

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... 157 Phases: Part 2 198 The Full Method 219 Addit... ...liarizeyourself with the following terminology: -The hundreds digit of a number is represented as: “h”. -The tens digit as: “t”. ... ...units digits as: “u”. Since these are multiplication algorithms, two numbers are always beingcompared. Therefore, -The larger number’s digi... ...ts have a subscript of 1 (i.e. h1, t1, u1) and, -The smaller number’s digits have a subscript of 2 (i.e. h2, t2, u2). ... ...ation steps. The symbol “@” represents the attachment of one number toanother. 2Chapter 2Metho... ...he method presented below is necessary prior to continu-ing on to larger number multiplication, as well as the shortcuts in chapters3 and ...

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..., definitions, unsolved problems, questions, theorems corollaries, formulae, conjectures, examples, mathematical criteria, etc. on integer sequences, numbers, quotients, residues, exponents, sieves, pseudo-primes squares cubes factorials, almost primes, mobile periodicals, functions, tables, prime square factorial bases, generalized factorials, generalized palindromes, so ...

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... conjectures, examples, mathemat-ical criteria, etc. on integer sequences, numbers, quotients, residues, expo-nents, sieves, pseudo-primes squares cub... ...ala Dolj,România). The book is based on various articles in the theory of numbers (startingfrom 1975), updated many times. Special thanks to C. Dumit... ...University of Craiova (see their edited book "Some Notions andQuestions in Number Theory", Erhus Press, Glendale, 1994), M. Bencze, L. Tu-tescu, E. Bu... ...ache came with his extraordinary ability to pro-pose new areas of study in number theory, and Octavian Cira – with his algo-rithmic thinking and knowl... ...licative Sequences . . . . . . . . . . . . . . . . . . . . . . . . . . . . 198 3.20.1 Multiplicative Sequence of First 2 Terms . . . . . . . . . . ... ...0.1 Multiplicative Sequence of First 2 Terms . . . . . . . . . . . . . . . 198 3.20.2 Multiplicative Sequence of First 3 Terms . . . . . . . . . . ... ...100, 102, 112, 121, 138, 147, 150, 156, 166, 169, 172, 180, 190, 196, 198, 240, 262, 268, 276, 282; (c) Z3(n + 1) | Z3(n) , for n ∈ 1,2,... ... PS4(n) PS5(n) PS6(n) 101 0 0 0 0 0 0 103 198 693 297 495 99 0 107 594 99 0 0 0 0... ... 0 0 0 0 109 792 495 99 0 0 0 113 198 693 297 495 99 0 127 594 99 0 0 0 0...

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...Description: These Simple Math Secrets and Tricks Will Forever Change How You Look at the World of Numbers. Secrets of Mental Math Will Have You Thinking Like a Math Genius in No Time. Get Ready to Amaze Your Friends — And Yourself — With Incredible Calculations You Never Thought You Could Master, As Renowned “Mathemagicia...

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... Math 116Chapter 7 A Memorable Chapter: Memorizing Numbers 132Chapter 8 The Tough Stuff Made Easy: Ad... ...le math secrets and tricks will forever change how you lookat the world of numbers. Secrets of Mental Math will have you thinking like a math genius i... ...enjamin shares his techniques for lightning-quick calculations and amazing number tricks. This book will teach you to do math in your head faster than... ...faster than you everthought possible, dramatically improve your memory for numbers, and—maybe for the first time—make mathematics fun. Yes, even you c... ...said (or grunted), “you can count thenumber of people at the campfire, the number of birds on a tree,stones in a row, logs for a fire, or grapes in a ... ...r subtracting in step 2, we must have one of thefollowing multiples of 99: 198, 297, 396, 495, 594, 693, 792, or 891,each one of which will produce 10... ...= 276 + 600 + 80 + 9 = 876 + 80 + 9 = 956 + 9 =965 198 10. 877 + 539 = 877 + 500 + 30 + 9 = 1 377 + 30 + 9 = 1407 + 9= 1416 ...

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...nted. How should we solve, for example, the equation η(π(x)) = π(η(x)), where η is the Smarandache function and π is Riemann function of counting the number of primes up to x, in the set of natural numbers? If an analytical method is not available, an idea would be to recall the empirical search for solutions. We establish a domain of searching for the solutions and then w...

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... 20142Preface In recent times the we witnessed an explosion of Number Theory prob-lems that are solved using mathematical software and pow... ...ng mathematical software and powerful comput-ers. The observation that the number of transistors packed on integratedcircuits doubles every two years ... ...hors lead to lively exchange of ideas,solutions and observation on various Number Theory problems. The everincreasing number of results, solving ... ...1993, 1999b, 2006] over the past two decades. The expertise in tack-ling Number Theory problems with the aid of mathematical software suchas [Cira a... ...oaches and solutions. However, this book is differ-ent from other books of number theory since it dedicates most of its spaceto solving Diophantine Eq... ... + 108 + 118 + 128 + 138 + 148 + 158 + 168 + 178 + 188 + 198 + 218 + 238 + 248 + 258 + 268 + 278 + 298 + 328 + 338... ...0 168, 184 175, 176 180, 203 192, 207 195, 196 198, 204 ; 200, 209 210, 232 216, 230 220, 228 2... ... ; 5, 3, 41472 5, 4, 41472 5, 8, 4860 5, 9, 4860 ;198 CHAPTER 7. PARTIAL EMPIRICAL SOLVING 7, 8, 4860 ...

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...The notion of a neutrosophic quadruple BCK/BCI-number is considered, and a neutrosophic quadruple BCK/BCI-algebra, which consists of neutrosophic quadruple BCK/BCI-numbers, is constructed. Several properties are investigated, and a (positive implicative) ideal in a neutro...

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...e, A.A.; LastName, B.B.; LastName, C.C. Article Title. Journal Name Year, Article Number,Page Range.ISBN 978-3-03897-288-4 (Pbk)ISBN 978-3-03897-28... ... . . . . . . . . . . . . . . . . . . 96Jun Ye, Wenhua Cui and Zhikang LuNeutrosophic Number Nonlinear Programming Problems and Their General Solution ... ... Nonlinear Programming Problems and Their General Solution Methodsunder Neutrosophic Number EnvironmentsReprinted from: Axioms 2018, 7, 13, doi: 10.33... ...phic Multi-CriteriaDecision Making” The notion of a neutrosophic quadruple BCK/BCI-number is considered in the first article(“Neutrosophic Quadruple... ...trosophic quadruple BCK/BCI-algebra, whichconsists of neutrosophic quadruple BCK/BCI-numbers, is constructed. Several properties areinvestigated, and ... ...uitionistic fuzzy rough set based on intuitionistic fuzzy covering. Inf. Sci. 2012, 198, 186–206.24. Zhang, X.; Zhou, B.; Li, P. A general frame for ...

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...TABLE OF CONTENTS (page numbers according to my WordPerfect(tm) status bar...) Author's Introduction................................2 Opportunity Doesn't Knock, it Pounds.................3 Introductions Aside.................................10 Break...

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...ously unreleasedepic... big kudos to all fans! Mwah!TABLE OF CONTENTS(page numbers according to my WordPerfect(tm) status bar...)Author's Introduction... ... The officer sighed, and returned to writing. "You'd besurprised about the number of people we get who have been firedby those bozos. The turnover rat... ...memorized listof "Top Ten Phrases to Ask when The Badguys Have Caught You"(number four, "What are your plans?"). "It's not important, but if you must... ...gal in the Terran Confederation. 2. We really, really mean it about rule number one. 3. Really. 4. I mean, you may think we're just being holier-t... ... ...and so on. Most people ignore rules 2-47 and just payattention to rule number one. (Well, rule #1 and rule #304,which disallows generation of dino... ... skills." 198 "But teacher--" "Juddi will do. Please, we're both adults now." "Jud...

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...TABLE OF CONTENTS (page numbers according to my WordPerfect(tm) status bar...) Author's Introduction................................2 Opportunity Doesn't Knock, it Pounds.................3 Introductions Aside.................................10 Break...

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...ously unreleasedepic... big kudos to all fans! Mwah!TABLE OF CONTENTS(page numbers according to my WordPerfect(tm) status bar...)Author's Introduction... ... The officer sighed, and returned to writing. "You'd besurprised about the number of people we get who have been firedby those bozos. The turnover rat... ...memorized listof "Top Ten Phrases to Ask when The Badguys Have Caught You"(number four, "What are your plans?"). "It's not important, but if you must... ...gal in the Terran Confederation. 2. We really, really mean it about rule number one. 3. Really. 4. I mean, you may think we're just being holier-t... ... ...and so on. Most people ignore rules 2-47 and just payattention to rule number one. (Well, rule #1 and rule #304,which disallows generation of dino... ... skills." 198 "But teacher--" "Juddi will do. Please, we're both adults now." "Jud...

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...quencies of word usage in the Tanakh ('Old' Testament). 2: to more easily compare words with similar spellings. 3: to discover the chapter number of each Bible chapter. 4: to discover verses in other chapters that link information with the chapter number that you are looking at. 5: to discover important information about a Bible chapter that you are looking ...

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...There are no chapters, just entries for each Bible chapter number from 1 to 1189 where roots go. There are bookmarks for each Bible Chapter of the bible in this book. Each bookmark also lists the numbers of the chapters so that you can just look at the numbers in the bookmarks to qui...

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...easily compare words with similar spellings. 3: to discover the chapter number of each Bible chapter. 4: to discover verses in other chapters th... ...cover verses in other chapters that link information with the chapter number that you are looking at. 5: to discover important information abo... ...ed to do if I had the time and patience to do it. Each listing for each number from 1 to 1189 lists the corresponding Bible Chapter that matches th... ... 1189 lists the corresponding Bible Chapter that matches thatBible Chapter Number. For example, if you number the chapters in a King James Bible (with... ... is listed in each Chapter section when that information is related tothat number or Bible Chapter. Some examples of this are: Important equations hid... ...3:11 No Roots ירהושעעי יא ספר ו 198 .Joshua 11 – Bible Chצ.ח.ק = to laugh, mock, sport, play. H6711.13 ... ...פר נה No Roots טימותיום ב ספר נה – 198 / 1127 Timothy 2 – Chapters 22 Tim 2:8 = Psa 16:10 ...

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... atomic model developed by Ernest Rutherford, Niels Bohr and Max Planck. In the area of mathematics, it discusses the development of the theory of numbers and the various mathematical sciences. In the area of astronomy, it presents the development of astronomy and the various theories on the origin of our universe. In the area of physics, it discuses the developme...

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...CIAN 62 CLAUDIUS PTOLEMY (100 - 170 AD) - GREEK ASTRONOMER AND MATHEMATICIAN 62 THE MATHEMATICS OF THE MEDIEVAL AGE 63 THE DEVELOPMENT OF THE NUMBER THEORY AND MATHEMATICS 64 THE THEORY OF NUMBERS 64 KINDS OF NUMBERS 64 THE KINDS OF NUMBERS THAT WE USE TODAY 67 THE HIERARCHY OR ORDER OF MATHEMATICAL OPERATIONS 68 HOW DO WE USE NUMBERS ? 69 HOW THE MET...

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...aitland, FL.http://www.abbottcg.comISBN: 978-1-5323-0130-8Library of Congress Control Number: 2016905395 II The Renaissance of ... ...ATICS OF THE MEDIEVAL AGE ................................. 66THE DEVELOPMENT OF THE NUMBER THEORYAND MATHEMATICS ...................................... ........................................................................ 67THE THEORY OF NUMBERS .......................................................... ...UMBERS .................................................................. 67KINDS OF NUMBERS .......................................................... ......................................................................... 67THE KINDS OF NUMBERS THAT WE USE TODAY ........................... 70THE HIE... ... thedevelopment of the QUANTUM THEORY and QUANTUM MECHANICS. 198 The THEORY of GENERAL RELATIVITY consisted of a ...

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... Find inspiration from biographies of a selection of animal rights activists. Recognise how humanity is devastating animal life globally. Gasp at the numbers of animals humans kill every year. Add topics to your armoury the well-rounded animal activist should know....

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...w scientists acknowledge that we are living in a mass extinction of life caused by humanity. Added to this is an animal holocaust in which increasing numbers of people endlessly demand animals to eat, wear, kill for sport, experiment on, and more. In almost anyone's definition this is a man-made disaster - a war on animals - undeclared and devastatingly carried out. Animal...

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...w much fish do people farm and catch from the sea? 6.8 Fur Animal Statistics 177 - the fur trade kills endless millions and threatens species. 6.9 Numbers of Animals in Biomedical Research 182 - how many animals do people experiment on in laboratories? 7 Personalities 7.1 Aristotle 186 - animals cannot reason so we can use them without consideration. 7.2 Thomas A...

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... - the fur trade kills endless millions and threatens species.6.9 Numbers of Animals in Biomedical Research 182 -... ... to make it go round.7.14 Jill Phipps 198 - a hero whose actions will inspire.7.15 Henry Spira ... ...actions will inspire.7.15 Henry Spira 198 - the most effective activist of the modern animal rights moveme... ...reading, was published online in August2015, is slightly revised and has a number of my illustrations. It is based on the web site of the samename tha... ...ecognise how humanity is devastating animal life globally.  Gasp at the numbers of animals humans kill every year.  Add topics to your armoury t... ...ction of life(2). Added to this is an Animal Holocaust in which increasing numbers of modern people endlesslydemand animals to eat, wear, kill for spo... ...stwill be gone before the end of the next century. With them will go large numbers of plant and animalspecies.Living SpeciesThe irreversible loss of s... ...ncrossed the FBI, who put him under surveillance. 198 How to Do Animal RightsOnly when Spira reached his f...

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...r Request ix Acknowledgement x Introduction xii The First Visitation from Jesus Christ xv Chapter 1: The Language of Heaven 1 Heaven 1 Divine Numbers of Heaven 16 Above and Below 19 God is Holy 27 Divine number 9 41 Key Divine Numbers 43 The Mission of Jesus Christ 57 The Flood 62 Jesus clears the Temple 64 The Law of Bricks without Straw 67 Decapolis and ...

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...so available in print at most online retailers.Library of Congress Control Number: 2014908869God bless you and thank you for taking the time to read t... ...................................................................1 Divine Numbers of Heaven............................................................. ..................................................................27 Divine number 9...................................................................... ..............................................................41 Key Divine Numbers ...................................................................... ....................................................................108 The Number 666 ................................................................... ...d Joshua that He will capture the remaining land 198 Face to Face Meetings with Jesus Chri...