Exploring the Extension of Natural Operations on Intervals Matrices and Complex Numbers

Exploring the Extension of Natural Operations on Intervals  Matrices and Complex Numbers Author W. B. Vasantha Kandasamy, Florentin Smarandache
ISBN-10 9781599731797
Release 2012
Pages 150
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In this book we explore the possibility of extending the natural operations on reals to intervals and matrices. The extension to intervals makes us define a natural class of intervals in which we accept [a, b], a greater than b. Further, we introduce a complex modulo integer in Z_n (n, a positive integer) and denote it by iF with iF^2 = n-1.

WORLDWIDE LOTTERY GAMES In Naturally Optimized Systems Pick 5

WORLDWIDE LOTTERY GAMES In Naturally Optimized Systems  Pick 5 Author Corneliu Lala
ISBN-10 9789731991795
Release 2015-02-18
Pages 442
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Worldwide Lottery Games In Naturally Optimized Systems Pick 5 has been developed on the authors’ initiative, based on the belief that nothing in the Universe happens by chance because there are laws governing everything, and by increasing our knowledge, we can triumph over mere chance. This is a book for players and/or groups of players (syndicates) who want to play to more than seventy lottery games from at least fifty countries over five continents, as: MEGA MILLIONS (U.S.A., Multi-State), POWERBALL (U.S.A., Multi-State), EUROMILLIONS (Europe, Multi-Country), EUROJACKPOT (Europe, Multi-Country), SUPER LOTTO (China), SIKKIM THUNDERBALL (India), THUNDERBALL (U.K.), LOTO (France) SANS TOPU (Turkey), EL GORDO (Spain), GOSLOTO 5 iz 36 (Russia), MINI LOTO (Japan), QUINA (Brazil) and so on. Worldwide Lottery Games In Naturally Optimized Systems Pick 5 contains 122 systems built with the help of original mathematical models. It is an original book comprising 51 simple variants systems, 38 pivoted variants systems and 33 combined variants systems for which the number of played numbers has values between 9 and 67 inclusive. Each system has its main characteristics, the winnings index and the unfolding on variants. The categories and the winnings will certainly be within the limits of one of the situations specified in the winnings index of the system used. All the playing systems selected in the present book are originally and naturally optimized, because the main parameters of the component combinatorial structures have optimal values. Therefore, 90 playing systems are at a level of absolute performance, which means with a smaller number of combinations, of the same category, it is not possible to get higher winnings indexes. The other 32 playing systems are at the highest level of current performance. More, all the playing systems are highly balanced. Experience in recent years has confirmed the value of the naturally optimized systems included in the book, through the numerous and substantial wins obtained by their help in many countries. Using the naturally optimized systems is a smart strategy for playing the lottery. FIVE ADVANTAGES OF NATURALLY OPTIMIZED SYSTEMS - Harmony with nature They are generated in harmony with nature, as they are based on the principles of balance, symmetry and proportion – fundamental principles of the creation, known everywhere in the world for thousands of years, which ensures their durability and high quality. - Optimum performance They are at a level of absolute performance, or at the highest level of current performance, as the main parameters of their combinatorial structures have optimum values. - Multi-system compatibility They are useful both to players and to groups of players worldwide, for lottery games of 5, 6 and 7 numbers in simple variant. - Guaranteed wins They help the lottery players to obtain guaranteed wins, strictly according to the previsions of the winnings indexes. - Accessibility They are easily accessible, can be understood by any player and their use does not require great effort, the action being made as simple as possible.

Mr Natural s Christmas Carol Fake Book Strictly by the Numbers

Mr  Natural s Christmas Carol Fake Book   Strictly by the Numbers  Author Lynne Vanne
ISBN-10 9781304637130
Release 2013-11
Pages 40
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19 of your favorite Christmas Carols - Strictly by the Numbers - Includes melody numbers, chord numbers and lyrics for each song Tips on how to make your own arrangement Songs are playable in any key on any instrument Includes Mr. Natural's Major Scale Intervalometer for piano/keyboards

Naturally Occurring Radioactive Materials

Naturally Occurring Radioactive Materials Author T. Rick Irvin
ISBN-10 1574440098
Release 1996-04-25
Pages 160
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Management of Naturally Occurring Radioactive Materials - known in the industry as NORM -has become an important part of the regular training required for workers in oil and gas production, refinery and petrochemical manufacturing, and in certain types of mining. Proper handling of NORM-contaminated wastes and use of appropriate radiation detection and protective equipment are now understood to be important components of good worker safety programs. Until now, no practical, easy-to-read, book was available to supplement worker training courses on NORM management. Naturally Occurring Radioactive Materials: Principles and Practices fills this void by providing, in a single publication, an ideal reference for industry managers, supervisors and line personnel. The book stresses the proper handling and management of NORM contaminated wastes and provides a firm understanding of the chemical properties of radioactive agents, their toxicological effects, and the appropriate containerization and disposal methods for these materials.

Naturally Intelligent Systems

Naturally Intelligent Systems Author Maureen Caudill
ISBN-10 0262531135
Release 1992-09
Pages 304
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A detailed study of neural networks offers an informative look at the operation and uses of these systems, discussing their role in the development of artificial intelligence, as well as their applications in speech, vision, robotics, and pattern recognition

The Nature and Growth of Modern Mathematics

The Nature and Growth of Modern Mathematics Author Edna E. Kramer
ISBN-10 0691023727
Release 1982
Pages 758
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Now available in a one-volume paperback, this book traces the development of the most important mathematical concepts, giving special attention to the lives and thoughts of such mathematical innovators as Pythagoras, Newton, Poincare, and Godel. Beginning with a Sumerian short story--ultimately linked to modern digital computers--the author clearly introduces concepts of binary operations; point-set topology; the nature of post-relativity geometries; optimization and decision processes; ergodic theorems; epsilon-delta arithmetization; integral equations; the beautiful "ideals" of Dedekind and Emmy Noether; and the importance of "purifying" mathematics. Organizing her material in a conceptual rather than a chronological manner, she integrates the traditional with the modern, enlivening her discussions with historical and biographical detail.

The Foundations of Mathematics

The Foundations of Mathematics Author Ian Stewart
ISBN-10 9780191016486
Release 2015-03-12
Pages 432
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The transition from school mathematics to university mathematics is seldom straightforward. Students are faced with a disconnect between the algorithmic and informal attitude to mathematics at school, versus a new emphasis on proof, based on logic, and a more abstract development of general concepts, based on set theory. The authors have many years' experience of the potential difficulties involved, through teaching first-year undergraduates and researching the ways in which students and mathematicians think. The book explains the motivation behind abstract foundational material based on students' experiences of school mathematics, and explicitly suggests ways students can make sense of formal ideas. This second edition takes a significant step forward by not only making the transition from intuitive to formal methods, but also by reversing the process- using structure theorems to prove that formal systems have visual and symbolic interpretations that enhance mathematical thinking. This is exemplified by a new chapter on the theory of groups. While the first edition extended counting to infinite cardinal numbers, the second also extends the real numbers rigorously to larger ordered fields. This links intuitive ideas in calculus to the formal epsilon-delta methods of analysis. The approach here is not the conventional one of 'nonstandard analysis', but a simpler, graphically based treatment which makes the notion of an infinitesimal natural and straightforward. This allows a further vision of the wider world of mathematical thinking in which formal definitions and proof lead to amazing new ways of defining, proving, visualising and symbolising mathematics beyond previous expectations.

Fibonacci Numbers and Their Applications

Fibonacci Numbers and Their Applications Author Andreas Philippou
ISBN-10 902772234X
Release 1986-04-30
Pages 304
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It isn't that they can't see the solution. It is Approach your problems from the right end and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. O. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van Oulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.

Chinese Computational Linguistics and Natural Language Processing Based on Naturally Annotated Big Data

Chinese Computational Linguistics and Natural Language Processing Based on Naturally Annotated Big Data Author Maosong Sun
ISBN-10 9783319476742
Release 2016-10-09
Pages 460
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This book constitutes the proceedings of the 15th China National Conference on Computational Linguistics, CCL 2016, and the 4th International Symposium on Natural Language Processing Based on Naturally Annotated Big Data, NLP-NABD 2016, held in Yantai City, China, in October 2016. The 29 full papers and 8 short papers presented in this volume were carefully reviewed and selected from 85 submissions. They were organized in topical sections named: semantics; machine translation; multilinguality in NLP; knowledge graph and information extraction; linguistic resource annotation and evaluation; information retrieval and question answering; text classification and summarization; social computing and sentiment analysis; and NLP applications.

Lower Your Blood Pressure Naturally

Lower Your Blood Pressure Naturally Author Sari Harrar
ISBN-10 9781623362355
Release 2014-07-01
Pages 288
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We are in the midst of a blood pressure crisis. Nearly 70 million Americans have been diagnosed with hypertension and just 56 percent of them have it under control. Another 51 million (30 percent of the population) have prehypertension. Hypertension is responsible for 69 percent of first heart attacks and 77 percent of first strokes. But there is good news: High blood pressure is very responsive to lifestyle changes. And the more changes you make, the greater your results. Lower Your Blood Pressure Naturally by Sari Harrar provides readers with a comprehensive lifestyle plan. Readers will follow the Power Mineral Diet, which centers on 13 delicious powerful blood pressure-lowering foods, along with an easy, doable exercise program that combines the proven effectiveness of cardio, strength training, and yoga on blood pressure. Not only do these methods help lower blood pressure on their own, they promote fast, sustainable weight loss, which has an independent blood pressure-lowering effect. With daily meal plans, flavorful, versatile spice blends, 50 recipes, plus Power Mineral smoothies and desserts, the plan proves that a heart-healthy diet need not be bland or boring. Lower Your Blood Pressure Naturally offers one of the easiest and most effective ways to conquer hypertension yet.

Metaphor and Analogy in the Sciences

Metaphor and Analogy in the Sciences Author F. Hallyn
ISBN-10 9789401594424
Release 2013-03-14
Pages 244
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This collection of papers contains historical case studies, systematic contributions of a general nature, and applications to specific sciences. The bibliographies of the contributions contain references to all central items from the traditions that are relevant today. While providing access to contemporary views on the issue, the papers illustrate the wide variety of functions of metaphors and analogies, as well as the many connections between the study of some of these functions and other subjects and disciplines.

Climates and Attitude Change Naturally

Climates and Attitude Change      Naturally Author Patrick R. Dugan, PhD.
ISBN-10 9781491805497
Release 2013-11
Pages 68
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Evidence and observations are presented, demonstrating that the primary cause of the earth warming trend is a collective result due to very large sources of: heat, moisture, CO2, smoke and other substances that absorb solar radiation...All the above contributors are natural sources. The case is presented whereby a significant amount of human and animal activity are coincident with life processes and are therefore not controllable. -- p. 63

Natural Area Tourism Ecology Impacts

Natural Area Tourism  Ecology  Impacts Author David Newsome Susan A. Moore Ross Kingston Dowling
ISBN-10 1845412761
Release 2001-11-28
Pages 340
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The book covers all facets of tourism in natural areas. The book is underpinned by a strong foundation of environmental understanding. It then describes the range of impacts, which occur when tourism takes place in the natural environment and illustrates how managers can plan, develop and appropriately manage tourism developments in natural areas. Finally, the book addresses ongoing management concerns such as monitoring environmental change and the need to introduce appropriate management strategies.

A course of analysis

A course of analysis Author
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A course of analysis has been writing in one form or another for most of life. You can find so many inspiration from A course of analysis also informative, and entertaining. Click DOWNLOAD or Read Online button to get full A course of analysis book for free.

Finite Dimensional Linear Algebra

Finite Dimensional Linear Algebra Author Mark S. Gockenbach
ISBN-10 9781439815649
Release 2011-06-15
Pages 672
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Linear algebra forms the basis for much of modern mathematics—theoretical, applied, and computational. Finite-Dimensional Linear Algebra provides a solid foundation for the study of advanced mathematics and discusses applications of linear algebra to such diverse areas as combinatorics, differential equations, optimization, and approximation. The author begins with an overview of the essential themes of the book: linear equations, best approximation, and diagonalization. He then takes students through an axiomatic development of vector spaces, linear operators, eigenvalues, norms, and inner products. In addition to discussing the special properties of symmetric matrices, he covers the Jordan canonical form, an important theoretical tool, and the singular value decomposition, a powerful tool for computation. The final chapters present introductions to numerical linear algebra and analysis in vector spaces, including a brief introduction to functional analysis (infinite-dimensional linear algebra). Drawing on material from the author’s own course, this textbook gives students a strong theoretical understanding of linear algebra. It offers many illustrations of how linear algebra is used throughout mathematics.

Types for Proofs and Programs

Types for Proofs and Programs Author Paul Callaghan
ISBN-10 9783540432876
Release 2002-02-20
Pages 248
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Types for Proofs and Programs has been writing in one form or another for most of life. You can find so many inspiration from Types for Proofs and Programs also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Types for Proofs and Programs book for free.

Marine Ranching

Marine Ranching Author Food and Agriculture Organization of the United Nations
ISBN-10 9251049610
Release 2004
Pages 213
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With coastal fisheries in decline around the world, there is growing concern about how long current sources of seafood can supply world needs. There is an increasing emphasis on restocking and aquaculture-based stock enhancement as a way to rapidly replenish depleted fish stocks and increase fishery landings. This publication contains case studies on the use of sea ranching and marine hatchery enhancement to generate income, re-establish fisheries and conserve aquatic biodiversity, including studies from Norway, Australia, the Pacific Islands, the Caspian Sea with an emphasis on Iran, and Japan.