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...Aim of this book is to present basic mathematics that is needed by computer scientists The reader is not expected to be a mathematician and we hope you will find what follows to be useful....

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...ions. In this book a number of problems are about iterations. In many cases computer simulation is followed by analysis leading to conclusions or co... ...k Surfing on the Ocean of Numbers with some applications in the second book Computer Analysis of Number Sequences. A brief summary will now be g... ... values of this function are given in [1], which also contains an effective computer algorithm for calculation of Z(n). The following properties are... ...terval but as can be seen it is generally scarcely represented. Prohibitive computer execution times made it impossible to systematically examine a... ... authors book “Surfing on the ocean of numbers”. Even with for ever faster computers and better software for handling large numbers empirical studie... ... In cases 1 and 2 increase k max , respectively t i in i t i i p G = (if computer facilities permit) and recalculate. In case3, x n is not an in... ...) 2 ) n ( 1 n ( n δ − = δ + + A translation of this algorithm to computer language was used to calculated the first 3000 terms of this se... ...1 1 The recurrence relations (10) provide the basis for an effective computer algorithm for successive calculation of the convergents C m . ... ...umber of Smarandache periodic sequences were explored in the author’s book Computer Analysis of Number Sequences [6]. An interesting property of si...

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...ional objectives Sometimes, there is simply no substitute for significant computer power. Others in my queue of those to thank include all who have ... ...he number of possibilities grows rapidly, so the search is best left to a computer. A simple program was written that allows for the examination of ... ... SCm) = p grows rapidly as p does. Sometimes it is advantageous to use a computer to compute the terms of a sequence. Then, by examining the terms,... ...in which several sequences are defined. The stated challenge was to write computer programs to compute the terms of the given sequences. Many of th... ...al sequences could form the basis for further exploration using the given computer programs. Another sequence of numbers that can be investigated ar... ...ot of the form dOOO 00000 3k O's where d = I or 8. Rationale: From the computer evidence, it appears that there are no additional infinite famili... ...on of the Lucky numbers in the region ofkm To investigate this further, a computer program to search for additional solutions was written in the lan... ...posed by \1ike \1udge in his regular ':\'umbers Count' column in Personal Computer World Definition 33: A magic square is a collections of numbers a... ... = 113 3 - 47 2 I And the problem concludes with a challenge to write a computer program to search for numbers that are not Smarandache bad number...

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... Militaria, Bucharest, Romania. Dr. B.S. Kirangi, Department of Mathematics and Computer Science, University of Mysore, Karnataka, India. Co... ...uzzy relational equation algorithm to perform threat analysis in the context of computer Generated Forces Systems such Mod SAF (Modular semi automa... ...aw, Y.K., New Algorithms for Solving Fuzzy Relation Equations, Mathematics and Computers in Simulation, 59 (2002) 329-333. [85-86] 289 64. Mic... ..., Neural Fuzzy Relational Systems with New Learning Algorithm, Mathematics and Computers in Simulation, 51 (2000) 301- 314. [64] 92. Stamou, G.B., ...

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...itaria, Bucharest, Romania. Dr. B.S. Kirangi, Department of Mathematics and Computer Science, University of Mysore, Karnataka, India. Copyri... ...y related to the currently fashionable field of graph theory. Although the computer oriented proof of [2, 29] settled the conjecture in 1976 and ha...

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...matical knowledge is unprepared to solve. In general, the sequences grow rather fast, so after a very short time, the terms are too large for modern computers to determine if they are prime. The only hope is to find some property of the elements of the sequence that can be used to very quickly determine if it can be factored....

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...ather fast, so after a very short time, the terms are too large for modern computers to determine if they are prime. The only hope is to find some pro... ...tegers in the bases 3 through 10 contains the largest number of primes? A computer program was written that searched through the first 500 elements o... ... base is the same as the decimal value of the nth term in another base? A computer program was written to test this problem for all bases 3 through 9... ...ts of the sequences for bases 4 through 9 are computed in a similar way. A computer program was written that searched through the first 500 elements o... ... base is the same as the decimal value of the nth term in another base? A computer program was written to examine this question for all elements of t... ...m, the Mirror Sequence is considered in an arbitrary numeration base B.” A computer program was written that searched through the first 500 elements o... .... 96 To examine this and all the other infinite series in more detail, a computer program was written in the Java language. The language contains th... ...t the sum of the series is. To obtain a partial answer to this question, a computer program was written to compute a series of partial sums of the ser... ...ust also be convergent. To obtain an estimate for the value of the sum, a computer program was written to compute a series of partial sums, and the r...

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...ma acra? -Ai sa intelegi, copile, numai cand o sa ai soacra.) or -With the computer even an idiot can calculate! -Please, let me try. I think tha... ...aradoxism, the relation between the smarandachian literature, mathematics and computers, and not finally, his avatars of an emigrant to America and .... ...the frequent calls for the events foreground ( happenings). The literature on computer recommended by author aims the same thing- receiver’s 45 i...

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...l partition of unity and demonstrated some properties. In this section, a computer program written in the C language will be presented. /* This ... ... Remarks: This algorithm would be quite helpful in the development of a computer program for the listing of SFPs. Section 14 A Program For D... ...with a comment about how the algorithm would be helpful in constructing a computer program to list the SFP’s. In this section, such a program in the ... ...n SAS sequence. This is the sequence used to represent numbers in digital computers. In general, n = ∑ a k t k , where a k = 0 or 1 and t k is a p...

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...ARITHMETICAL FUNCTION Guo Jinbao and He Yanfeng College of Mathematics and Computer Science, Yanan University, Yanan, Shaanxi, P .R.China yadxyzb2391@... ...ANDACHE CEIL FUNCTION He Xiaolin and Guo Jinbao College of Mathematics and Computer Science, Yanan University, Yanan, Shaanxi, P .R.China yadxyzb2391@... ... FREE SIEVE SEQUENCE Guo Jinbao and Zhao Xiqing College of Mathematics and Computer Science, Yanan University, Yanan, Shaanxi, P .R.China yadxyzb2391@...

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... Mathematics Mathematics Astronomy Mathematics Mathematics Mathematics Computer Science President Mathematics Mathematics Mathematics Math... ...2 of those plus one paper in absentia. Disciplines represented; astronomy, computer science, engineering physics and mathematics. Papers came from... ...2 of those plus one paper in absentia. Disciplines represented; astronomy, computer science, engineering physics and mathematics. Papers came from...

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...oward Iseri Associate Professor of Mathematics Department of Mathematics and Computer Information Science Mansfield University Mansfield, PA 169...

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... Maps, IEICE Transactions in Fundamentals of Electronics, Communications and Computer Sciences (JTC-CSCC '95), Sept. 18-21 1996, v E79-A, no. 6, 92... ... S.H. Kim. Fuzzy Cognitive Maps Considering Time Relationships, Int. J. Human Computer Studies, 42, 157-162, 1995. 101. Pelaez, C.E., and J.B. Bow...

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...ther (short prose of consecration) 90 Tale at infinite 91 The goat with little red riding and other tales 92 Ă ă Î î Â â Ş ş Ţ ţ (short prose for computer and printer) 94 I will begin to write a novel by Marian Barbu (plagiarised short prose) 95 Homework (resumed short prose) 96 Subject of a short story 97 Greuceanu [1st part] (rebus short prose] 98 Greuceanu [2nd...

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...i tutti i documenti che contengono una o più parole chiave. E se lo volete farà il download dei documenti interessanti e li salverà proprio su questo computer, a vostra completa disposizione. - Dumbo sorrideva radioso a Isis e cominciava a notare, ora che la concentrazione per il lavoro stava calando, quanto fosse carina quella carioca. Aveva le tette un po' piccole m...

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... 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 o...

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... fizică teoretică). În afara unor autotraduceri, şi-acelea înaintând greu din lipsă de timp, iar în domeniul plastic al ‘artei electronice’ (pe computer), mai scriu ca “literatură” doar memoriile despre diversele conferinţe ştiinţifice internaţionale la care sunt invitat să prezint lucrări de cercetare ori seminarii. Memorii care, de fapt, sunt nişte reportaje, îmbin...

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...As someone who works heavily in both math and computers, I can truly appreciate the role that logic plays in our modern world. One cannot understand the foundations of mathematics while lacking knowledge of the basics of logic and how proofs are constructed. Two of the f...

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...ica 3 Foreword As someone who works heavily in both math and computers, I can truly appreciate the role that logic plays in our modern ... ...c from those courses. Logic is also a fundamental component of advanced computer classes. I am currently teaching advanced courses in assembly lan... ... currently teaching advanced courses in assembly language programming and computer organization. Reference is constantly being made to how the rules... ...ow the rules of logic are incorporated into the fundamental circuits of a computer. The logic used in these classes is known as classical or Boolean... ...oning Section 8 Quantification Theory Section 9 Uses of Logic In Computer Programming 7 13 14 15 16 17 19 19 22 Chapter 2 Three-... ...ection 3 The Bochvar Three-valued Logic Section 4 Three-valued Logic In Computer Programming Section 5 Three-valued Logic With an Indeterminate... ... Section 4 Implementing the Fuzzy Connectives in a Computer Program Section 5 Rules of Inference in Fuzzy Logic Sectio... ...Section 5 Implementing the Neutrosophic Connectives in Computer Programs Section 6 Ordering The Elements of Neutrosophic Logic... ...x) x 2 < 0) \/ ¬ ((x) x 2 ≤ 1.0) is false Section 9 Uses of Logic In Computer Programming Logic is a fundamental component of computer pro...

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...ey (1993-1999) present the evolutionary algorithms which are used “to describe computer-based problem solving systems which employ computational mo... ...e should be strict rules, and rules with exceptions. Recursivity is seen as a computer program that learns from itself. The statistical regression... ...ves/fuzzy-mail99/0819.html. [13] Girard, Jean-Yves, Linear logic, Theoretical Computer Science, 50:1-102, 1987. [14] Guinnessy, Paul; Gilbert, Joh... ...oceedings on the Neutrosophic Logic and Their Applications in Neural Networks, Computer Programming, and Quantum Physics, Institute of Physics, edit... ...definite sets - a new type of data for knowledge representation, Preprint 232, Computer Center of the USSR Academy of Sciences, Novosibirsk, 1980 (in... ... (1973), E. Jaynes (1995) to name just few of them. With the development of the computers, the last half of the 20th century has became very prolific f... ...or Multisensor Integration”, technical Note 307, Artificial Intelligence Center, Computer Science and Technology Division, SRI International, Menlo Par... ...obabilistic Reasoning in Intelligent Systems: Networks of Plausible Inference”, Computer Science, Artificial Intelligence, Morgan Kauffman, 1988. [41] ... ... ‘the pattern that connects’ by [Bateson]. Following the advent of inexpensive computers this has joined with mathematical dynamical systems theory ...

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...owe. A well-documented and large dictionary, dealing with terms needed in Computer Science, The Free Online Dictionary of Computing, is edited by D... ...anical Philosophy? Devices of producing presuppositions on running belt (computer programming) - futile philosophy. 47 A priori thought à l... ...zarre ideas. g) Futurist Philosophy: ideas created by machines, robots, computers using artificial intelligence; this is the philosophy of tomorr... ...ing to ! it is the case that A, and it is used in the verification of the computer programs. Combinatory Logic (Schoenfinkel, Haskell Curry, 1920s) ... ...ated reasoning (information processing) due to inconsistent data stored in computers, and by the fact that people impart opposite beliefs. There are... ...993-1999) present the evolutionary algorithms which are used “to describe computer-based problem solving systems which employ computational models o... ...uld be strict rules, and rules with exceptions. Recursivity is seen as a computer program that learns from itself. The statistical regression meth... ...c.at/cgi-bin/abstract/. [63] Girard, Jean-Yves, Linear logic, Theoretical Computer Science, 50:1-102, 1987. [64] Goldberg, Samuel, Probability / An... ...ings on the Neutrosophic Logic and Their Applications in Neural Networks, Computer Programming, and Quantum Physics, Institute of Physics, editors: ...

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.... 30, 2000, 139. 95. Gottesman D. The Heisenberg representation of Quantum Computers. arXiv: quant-ph/9807006. 96. Baugh J., Finkelstein D., Galiautdi... ... the decay registered by the detector in 1-second intervals, are stored in computer archive. Depending on specifc targets, a time sequence of 1- secon... ...ils see in [8, 9]). Comparison of histograms was performed using auxiliary computer program by Edwin Pozharski [8]. A mechanical device designed by on...

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...or function [3], that by definition is the largest integer n £ . In many computer languages, the floor function is called the integer part function ... ...Unsolved question: Is it this true for all n? Examining the results of a computer search looks like that the following inequality hold: ) 2 ( ) 1 ( ... ...,r) the number of solutions of that equation for x n £ and fixed r. By a computer search the following result has been obtained: 0 ) 4 , 4 10 ( 0 ) ... ...,r) the number of solutions of this equation for x n £ and a fixed r. By a computer search we have found: 38 N(1000,2)=0 N(1000,3)=0 N(1000,4)... ...e maximum value of a(n) for the previous sequence? For n<=8000 via a computer program searching the maximum has been found at n=1025 with ... ... B P c n n n where c=3.44E-4 is the lower limit of 0 n B found with our computer search. Based on those experimental data there is a strong eviden... ...es 25 2 < n p and 15 2 £ £ k . In the following table the results of the computer search are reported. k 2 3 ... ... number; to test all odd numbers up to this limit would take more time and computer power than we have. Recent work has improved the estimate of N. In... ...ven to be true. Moreover utilizing the experimental data obtained with the computer program a heuristic that reinforce the validity of conjecture can...

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... the fight against AIDS. The picture at the bottom of the back-cover is a computer generated image of the human immunodeficiency virus (HIV). Pictur... ...iveristy, Australia. Dr. G. Lakshma Reddy, Department of Mathematics and Computer Science, University of Hyderabad, Andhra Pradesh, India Copy... ...ngs, neural networks architecture cover a wide range. In one sense every computer is a neural net, because we can view traditional digital logic as... ...rvation: He said that today’s youth are well versed with the knowledge of computers and that they should be given proper sex education. He says none...

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...osome at a pre-assigned crossover locus. There is also a provision in our computer program to introduce a maximum number of mutations in each curren... ...-156. De Jong, K. A. Artificial genetic adaptive systems. Department of Computer Sc. Technical Report No. 76–7. Pittsburgh: University of Pitts...

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...McCabe argues the hypothesis, for instance, that our universe is part of a computer simulation implementation generates empirical predictions and it i... ...bservable substance. I argued that the soundness of the virtual reality or computer simulation hypothesis depends on how Universe is defned. The fact ... ... 19th Biennial Meeting, PSA2004 2004. 15. McCabe G. Universe creation on a computer, 2004. e-print, Pittsburgh Archives/00001891. E. Harokopos. Power ...

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... Alaska Pacific University, AK, USA. H.Iseri, Department of Mathematics and Computer Information Science, Mansfield University, Mansfield, PA 16933, USA....

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...ucharest, Romania, Prof. Dr. B. S. Kirangi, Department of Mathematics and Computer Science, University of Mysore, Karnataka, India. Copyrig...

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...s The best introduction one can find into the manner of perceiving dimensions. As such, the novella is still popular amongst mathematics, physics and computer science students....

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...on of solution of radial biquaternion Klein-Gordon equation, and comparison with EQPET/TSC model – V. Christianto & F. Smarandache 436 23. A note on computer solution of wireless energy transmitted using magnetic resonance – V. Christianto & F. Smarandache (Progress in Physics, vol. 4 no. 1, Jan. 2008, www.ptep-online.com) 439 Index 443...

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...Physics, Vol. 3, 2010.....................76 Numerical Solutions...................................................................81 A Note on Computer Solution of Wireless Energy Transmit via Magnetic Resonance, by Vic Christianto and Florentin Smarandache, Progress in Physics, 81-82, Vol. 1, 2008...................82 Numerical Solution of Quantum Cosmological M...

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...l techniques .............79 The lesson with an integrated TV ..........................79 The lesson of programmed instruction (based on manual or computer) ...........79 The lecture ...................................79 The lesson of knowledge consolidation and deforming skills and inaptitude.........80 The lesson of verification and depreciation of knowledge, inapt...

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...lopments so far. Nearly all of the ship's operations are given over to computers, and SS Alpha requires a crew of but 12. The smaller the crew, ... ...elts. At the desk there is a large-screen video, CD-ROM/DVD video player/computer with internet and e- mail capability, and electrical convenience o... ... Console - S&P Engineer; spaceframe, propulsion, controls; Console - Computer engineer Console - Mission Astro-Specialist Console - Commun... ...two was decided on to meet the allotted budget and to decrease ship mass. Computer modeling showed two eco modules to be adequate for a full crew of...

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...lent logic We all have heard of typical binary logic, Yes or No. Or in a famous phrase by Shakespeare: “To be or not to be.” In the same way all computer hardwares from early sixties up to this year are built upon the same binary logic. It is known that the Classical Logic, also called Bivalent Logic for taking only two values {0, 1}, or Boolean Logic from British...

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...he inversion sequence which is a new concept, related sequences, conjectures, properties, and problems. This study was conducted by using (Maple 8){a computer Algebra System. Keywords Smarandache inversion, Smarandache reverse sequence. Introduction In [1], C.Ashbacher, studied the Smarandache reverse sequence: 1; 21; 321; 4321; 54321; 654321; 7654321; 87654321; 9876...

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...it inside every one of their millions of books and articles. 3. Device Compatibility Mark: All of our books on the site are compatible with any computer, any smart phone any tablet or mobile device on the market. You can transfer your book onto the device in just a few seconds and then take it with you on your device just like you would a paper book. ...

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...edgments . . . . . . . . . 467 17.9 References . . . . . . . . . . . 467 Chapter 18 Multimodal information retrieval based on DSmT. Application to computer-aided medical diagnosis 471 by G. Quellec, M. Lamard, G. Cazuguel, B. Cochener and C. Roux 18.1 Introduction . . . . . . . . . . 472 18.2 Objectives . . . . . . . . . . . 473 18.3 Shafer’smodel for information r...

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...bservation of Anomalous Potential Electric Energy in Distilled Water under Solar Heating, by F. Smarandache & V. Christianto......................74 COMPUTER PROGRAMMING CODIFICATION..............83 9. Algebraic Generalization of Venn Diagram, by Florentin Smarandache.........84 ECONOMICS, BUSINESS, AND POLITICS.................87 10. Introduction to Poly-Emporium Theo...

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...bservation of Anomalous Potential Electric Energy in Distilled Water under Solar Heating, by F. Smarandache & V. Christianto......................74 COMPUTER PROGRAMMING CODIFICATION..............83 9. Algebraic Generalization of Venn Diagram, by Florentin Smarandache.........84 ECONOMICS, BUSINESS, AND POLITICS.................87 10. Introduction to Poly-Emporium Theo...

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...ic exact formula, but with an opening to essence. For this kind of procedural poems one can elaborate mathematical algorithms and implement them in a computer: but, it is preferable a machine with … soul!...

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...ton has spent ample time and money working on providing enough up-to- date computers into all high schools. However, there are many high schools that ... ... high schools that haven’ t reached this point. Almost all colleges have a computer lab offered to students for reasons such as research, email, and r... ...arch, email, and recreational purposes. Even the high schools that do have computers to offer students don’t offer email for their students. High scho...