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... Through the study of Kabbalah, you too can learn to direct your heart--and consequently your life--toward success, tranquility, peace, and happiness.In this distinctive, personal, and awe-filled introduction to an ancient wisdom tradition, Rav Laitman--a disciple of the great Kabbalist Rabbi Baruch Ashlag (son of Yehuda Ashlag)--provides you with a deeper understanding of...

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...l rights reserved. No part of this book may be reproduced or trans- mitted in any form or by any means, electronic or mechanical, includ- ing photocop... ...ng, or by any information storage and retrieval system, without permission in writing from the publisher. For information regarding permission to repr... ...ission to reprint material from this book, please mail or fax your request in writing to Jewish Lights Publishing, Permissions Department, at the addr... ...holeness. —Rabbi Abraham Yitzhak HaCohen Kook, Orot Kodesh 1, 88–89 (1865–1935) xv Awakening to Kabbalah text 10/3/05 4:46 PM Page xv The Torah w... ...e revealed to its feet. —Rabbi Abraham Yitzhak HaCohen Kook, Igrot 2 (1865–1935) I have seen it written that the prohibition from above to refrain fro... ... many spiritual roots. —Rabbi Abraham Yitzhak HaCohen Kook, Igrot 2 (1865–1935) Upon studying this composition, one awakens the power of the souls an... ...est way for us. Though the Mishnah and the Talmud explain each spiri- tual law in detail, they are written in everyday language. Hence, if you do not ...

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... All rights reserved. This book, or any part thereof, may not be used or reproduced in any manner without written permission from: Lidija Rangelovs... ...elovska – write to: palma@unet.com.mk Visit the Author Archive of Dr. Sam Vaknin in "Central Europe Review": http://www.ce-review.org/authorarchi... ...Crisis The love affair of Edward, Prince of Wales (Edward VIII) and Wallis Simpson in 1936 is the stuff of romantic dramas. Alas, reality was a lot... ... King did not wish to marry Simpson, merely to make her his consort by changing the law to allow for a morganatic marriage (of people from different... ...ut". Caesarean section was mandated in case of the mother's death in the "Roman Law" wrongly attributed to Numa Pompilius, the second of Rome's ... ...hired gumshoes, who spent their time mostly spying on each other. In 1923, Walter Law was found dead in his Nash sedan. Belva was involved with hi... ...n an exact science. Charles Richter developed his eponymous logarithmic scale in 1935. It measures the amplitude (the height) of seismic surface ... ... Lindberghs, revolted by the media's unrelenting prying, moved to live in Europe in 1935. Lindbergh became a fan of Adolf Hitler and in 1938 receive... ...nt of the work of the self-taught plant breeder Ivan Vladimirovich Michurin (1855-1935) and his brand of Lamarckism - a pre-Darwinian theory of ev...

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...What was in Hitler's personal file kept by the Nazi Party's own intelligence agency, the SD? Israel Sarid Roth, only son of two survivors of the Holocaust is about to find out, as a routine assignment in Jerusalem plunges him into the...

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... © 2006-2007 All Rights Reserved Based on hundreds of newly-discovered documents in archives the world over – now … THE HITLER FILE Israel S... ...lf at the deadly center of a nightmare. • What is on the floppy disk he picked up in Jerusalem? • Who is Frankenberg, the investigative journali... ...f the SS, release Frankenberg’s father from the death camp Auschwitz? • What was in Hitler’s personal file, kept by the Nazi Party’s own intellige... ...d and proper. But under the circumstances that would probably have been against the law. This obsolete piece of magnetic media was different. Fra... ...expounded Dan patiently – “There’s something on this disk that’s worth breaking the law for. Something on it makes people risk life and limb and ass... ...ith their lucre. And still they wouldn’t go. Hitler gave up on Zionism as early as 1935, but he still staunchly supported the Transfer agreement … E... ...assorted documents in the file. One of them seems to catch his eye. “You studied Law in Berlin in 1929?” “Yes, Herr Reichsfuehrer, I did.” H... ... mused – “Hitler was atypically soft on the Jews until at least 1940.” “You mean 1935 – the Nuremberg race laws?” Libby shook her curls at me: ... ... when was the first time that Hitler made an anti-Semitic speech as Prime Minister? 1935. That’s right – more than two years after he assumed power....

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... development and dissemination of G-dimensional theory (GDT). K. Toshihara, from Japan, proposed the concept of a paper defining G-Dimensional theory in relation to the Smarandache quantum paradoxes. After reviewing a draft, Dr. M. L. Perez, Editor of the SNJ, suggested the inclusion of the Smarandache (FTL) Hypothesis as well. So it is hoped that a determination of parame...

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...4 . G D T P a r t i c l e F i e l d s 2 0 - 3 2 5. The SQP Set in MT & GDT Comparative Physics 32-41 Bibliography 4 2... ... American Research Press Rehoboth 2001 3 This book can be ordered in microfilm format from: Bell and Howell Co. (University of Micr... ...ics.htm ISBN: 1-931233-46-2 Standard Address Number 297-5092 Printed in the United States of America 4 G-DIMENSIONAL THEORY & TH... ...d thus has conjunctive motion with the body. We now suspend Newton's first law of motion, Principia, (1687), as a given principle and treat it inst... ... o = 0: - ϒ = mvsec(θ) /t 2 . (15) From Newton's second law of motion, the resultant acceleration (A), of the body is then, A ... ...s in that quanta. This definition is in complete accord with Newton's first law of motion and moreover provides a causal definition for inertial moti... ... well. For example, if Hideki Yukawa had been working from GDT parameters in 1935, he might have predicted both the meson and muon particles. [5] Ex...

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... Coinage Mintage Statistics 1793-1902 51 Silver Coinage Mint Mintage Statistics 1793-1902 (odd denominations) 54 Gold Coinage Statistics 1793-1902 (in dollars) 57 Appendix C: Reports 60 Superintendent Robert Morris’ 1782 Report 61 PROPOSITIONS RESPECTING THE COINAGE OF GOLD, SILVER, AND COPPER. 66 Samuel Osgood and Walter Livingston’s April 8, 1786 Report 69 April ...

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...K.R.Narayanan was a lauded hero and a distinguished victim of his Dalit background. Even in an international platform when he was on an official visit to Paris, the media headlines blazed, ‘An Untouchable at Elysee’. He was visibly upset and it proved that a Dalit who rose up to such heights was never spared from...

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...EWS ON UNTOUCHABILITY W. B. Vasantha Kandasamy e-mail: vasantha@iitm.ac.in web: http://mat.iitm.ac.in/~wbv Florentin Smarandache e-mail:... ...andasamy HEXIS Phoenix, Arizona 2005 2 This book can be ordered in a paper bound reprint from: Books on Deman... ...m ISBN: 1931233-00-4 Standard Address Number: 297-5092 Printed in the United States of America 3 PERIYAR, THE P... .... Combined conflicting opinions tend to cancel out and assisted by the strong law of large numbers, a consensus emerges as the sample opinion appro... ...s, in case of a model, add two or more FCMs to produce a new FCM. The strong law of large numbers ensures in some sense that, knowledge reliability... ...Combined conflicting opinions tend to cancel out and assisted with the strong law of large numbers, a consensus emerges as the sample opinion approx... ...ekly paper Viduthalai (Liberation) of the Justice Party, which was founded in 1935, started to be published by Periyar as a Tamil daily from 1.1.193... ...anguage and organized a campaign against it on a war footing. On 26 December 1935, at a conference convened in Tiruchi, Periyar declared that the o... ... differences in both Vaishnavism and Saivaism remain the same. [Pagutharivu, 1935] Sectarianism We cannot consider sectarianism to be annihilate...

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...ll depend on a delicate balance between those ideas that are controlled and those that are free, between intellectual property and the public domain. In The Public Domain: Enclosing the Commons of the Mind (Yale University Press) James Boyle introduces readers to the idea of the public domain and describes how it is being tragically eroded by our current copyright, patent,...

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... be accessed through the author’s website at http://james-boyle.com. Printed in the United States of America. ISBN: 978-0-300-13740-8 Library of Congr... ...served mockery. “Want that insignia torn off your car, Dad? Then it would be in the public domain, right?” My colleagues at Duke are one of the main i... ... at Duke are one of the main influences on my work. I am lucky enough to work in the only “Center for the Study of the Public Domain” in the academic w... ...ary university I have ever encountered and so the obligations flow beyond the law school. Professor Anthony Kelley, a brilliant composer, not only educ... ...enomics, and my wife Lauren Dame, as- sociate director of the Genome Ethics, Law and Policy Center, provided cru- cial support to my work with the sci... ...hur, and Hewlett Foundations have generously supported my work, as have Duke Law School’s research grants and Bost Fellowships. My work on synthetic b... ...ranscendental Nonsense and the Functional Approach,” Columbia Law Review 35 (1935): 817. 5. For contrasting views of the sequence of events, see John ...

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...The concept of science and the sciences. Fundamental and historical development in the sciences. Great ideas that revolutionize our scientific world. The story of the cell and Biology. The birth of modern Biology. The rise of the modern University and experimental stations. The cell as the basic bui...

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...INTRODUCTION 1 ABSTRACT ON THE CONCEPT OF PERSPECTIVE AND SENSE OF DUTY 4 THE CONCEPT OF SCIENCE 5 FUNDAMENTAL AND HISTORIC DEVELOPMENTS IN THE SCIENCES 7 ABSTRACT ON THE ATOM AND ITS ENERGY 11 GREAT IDEAS THAT REVOLUTIONIZED OUR SCIENTIFIC WORLD 16 DEMOCRITUS (470 - 380 BC) Greek Philosopher 16 NICHOLAS COPERNICUS (1473 - 1543) Polish Astronomer 17 ...

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...s of a diverse range of highly respected scientists who have offered distinctively different pieces of the evolutionary puzzle and these are assessed in the light of our most current understanding of biological complexity and Book Two applies these alternative and rather novel, but scientifically supported evolutionary scenarios to what we currently know regarding the anci...

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...Professor Denis Noble (Professor Emeritus and Co-Director of Computational Physiology) sums up the situation quite succinctly in the following: PHYSIOLOGY IS ROCKING THE FOUNDATIONS OF BIOLOGY In this article, I will show that all the central assumptions of the Modern Synthesis (often also called Neo-Darwinism) have been disproved. Moreover, ...

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...-Baptiste Lamarck (1744-1829) THE ORIGINAL NATURAL EVOLUTIONARY THEORY OF DESCENT – BY EPIGENETIC MODIFICATION CHAPTER SIX Hugo De Vries (1848 – 1935) LEAPS of EVOLUTIONARY NOVELTY – via HYBRIDATION? CHAPTER SEVEN Carl Woese (1928 –2012) THE WORLD WIDE WEB (WWW.HGT) LITTLE HYBRIDS GET EVERYWHERE CHAPTER EIGHT Lynn Margulis (1938-2011) MICRO MERGERS AND SYMBIO...

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...Progress in Physics has been created for publications on advanced studies in theoretical and experimental physics, including related themes from mathematics. All submitted papers should be professional, in good English, containing a b...

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...The Journal on Advanced Studies in Theoretical and Experimental Physics, including Related Themes from Math... ...h the Library of Congress (DC). This journal is peer reviewed and included in the abstracting and indexing coverage of: Mathematical Reviews and MathS... .../ptep_online To order printed issues of this journal, con- tact the Editor in Chief. Chief Editor Dmitri Rabounski rabounski@yahoo.com Associate Edito... ... . . . . . . . . . 63 S. J. Crothers On the Generalisation of Kepler’s 3rd Law for the Vacuum Field of the Point-Mass. . . . . . . . . . . . . . . . .... ...riance, at r=r 0 , of the circumference of a great circle, of Kepler’s 3rd Law [1, 2], of the Kretschmann scalar, of the radius of curvature C(r 0 )=α... ...curvature will necessarily manifest in the associated form of Kepler’s 3rd Law, and the Kretschmann scalar [22]. I fnally remark that the fact that a ... ...euren Meth- oden der Differentialgeometrie. Zentralblatt f¨ ur Mathematik, 1935, Bd. 11 und Bd. 19. 60. Eisenhart L. P. Ann. Math., 1938, v. 39, 316. ... ...euren Meth- oden der Differentialgeometrie. Zentralblatt f¨ ur Mathematik, 1935, Bd. 11 und Bd. 19. 68. Rabounski D. D. and Borissova L. B. Particles ... ...n N. The particle problem in the general theory of relativity. Phys. Rev., 1935, v. 48, 73. 7. Einstein A. The Meaning of Relativity. 5th Edition, Sci...

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...ine and food prices, air and water pollutions, the scarcity of natural resources, the excess of wastes and their proper disposal, and even some wars. In the year 2020 Commander Lemuel Gulliver XVI returns from a twenty year odyssey around the solar system, searching for sites where the world's excess people can be re-located. He found none. On his return he vows to search ...

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...0 ―. . . AND GULLIVER RETURNS‖ --In Search of Utopia— Book 4 A Look at Human Values 1 ... ... Look at Human Values 1 ―. . . AND GULLIVER RETURNS‖ --In Search of Utopia-- BOOK 4 A Look at Human Values by Lemuel Gul... ... ISBN 978-0-9823076-3-2 2 TABLE OF CONTENTS IN THE HOTEL ................................................................. ...nation, contraception, and other self-centered desires run against natural law and the sanctity of the family.‖ —―Did you hear about the Ne... ... gave him some oxygen. No one stayed with him until he died. Under French law one is required to help. Under American and English common law there i... ...s kind.‘ Then a few hundred years later Christianity rekindled the Jewish law when Matthew wrote ‗So in everything, do to others, what you would have... ... 48. Mark 16:18 49. Baldwin v. G. A. F. Seelig, Inc., 294 U.S. 511, 523 (1935).See also: Saenz v. Roe (98-97) 526 U.S. 489 (1999) 134 F.3d 1400)...

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...first Information Technology and then moves on to tales about the wonders of the written word—great stories, many of them likely new to most readers. In them, you‘ll find all the backgrounds, foregrounds, premises, conclusions, and surprises that make up the best and most valuable books....

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...In the Bible, God‘s first gift to man isn‘t a lesson about how to make a fire or fashion a needle, a knife, or a spear. He first blesses him with language. Even before He takes Adam‘s rib to make Eve, He tells Adam to name ev...

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...From whence cometh language, the InfoTech that lets us dominate our planet? We listen. We easily hallucinate word boundaries. Spaces, such as you see in writing, are absent from speech. Yet somehow we find it easy to make sense of speech. -- 2. The Gift of Memory-For millennia, mnemonics reigned over commerce, news, entertainment, and the perpetuation and refinement of cra...

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... Dedication to CAROL For becoming my smart, beautiful bride in 1949 and then giving fully of herself to me and our wonderful family i... ...We listen. We easily hallucinate word boundaries. Spaces, such as you see in writing, are absent from speech. Yet somehow we find it easy to make se... ...and then take less than a century to create the largest contiguous empire in world history. 10. Mongols Open the Way They open the gate blocking... ... Western Europe‘s economy deteriorated drastically after the breakdown of law and order in the first half of this period. The resulting unstable env... ...l laws remained in effect so long as they did not conflict with the Great Law. His new laws  Set the death penalty for robbery and ... ...apprentice Peter Schoeffer, a calligrapher who would become Fust‘s son-in-law, joined the partnership. Schoeffer helped oversee the Bible project as ... ...illiam and Ariel. The Story of Civilization. New York: Simon and Schuster, 1935–75. Ehle, John. Trail of Tears: The Rise and Fall of the Cherokee N...

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...irst Information Technology and then moves on to tales about the wonders of the written word—great stories, many of them likely new to most readers. In them, you‘ll find all the backgrounds, foregrounds, premises, conclusions, and surprises that make up the best and most valuable books. This book also begins with that wondrous first Information Technology and then moves ...

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...Way back in the fifteenth century a man named Johann Gutenberg invented the ?printing press. More than 400 years passed before Ottmar Mergenthaler found a way in the late 1880s to mechanize that historic invention. Then, less than a ...

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...t Dedication to CAROL For becoming my smart, beautiful bride in 1949 and then giving fully of herself to me and our wonderful family i... ...We listen. We easily hallucinate word boundaries. Spaces, such as you see in writing, are absent from speech. Yet somehow we find it easy to make se... ...and then take less than a century to create the largest contiguous empire in world history. 10. Mongols Open the Way They open the gate blocking... ... Western Europe‘s economy deteriorated drastically after the breakdown of law and order in the first half of this period. The resulting unstable env... ...l laws remained in effect so long as they did not conflict with the Great Law. His new laws  Set the death penalty for robbery and adultery, ... ...apprentice Peter Schoeffer, a calligrapher who would become Fust‘s son-in-law, joined the partnership. Schoeffer helped oversee the Bible project as ... ...illiam and Ariel. The Story of Civilization. New York: Simon and Schuster, 1935–75. Ehle, John. Trail of Tears: The Rise and Fall of the Cherokee N...

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The antecedents and aftermath of the wars in Afghanistan and Iraq and the role of the United States in international affairs.

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... All rights reserved. This book, or any part thereof, may not be used or reproduced in any manner without written permission from: Lidija Rangelovs... ...elovska – write to: palma@unet.com.mk Visit the Author Archive of Dr. Sam Vaknin in "Central Europe Review": http://www.ce-review.org/authorarchi... ...dd Me to the List VII. The American Hostel VIII. The Semi-failed State The War in Afghanistan I. Afghan Myths II. Pakistan’s Nice Little War... ... abuses - the international system for its own, ever changing, ends. International law is invoked by it when convenient - ignored when importune. ... ...it when convenient - ignored when importune. In short, America is a bully. It is a law unto itself and it legislates on the fly, twisting arms and ... ...ared to Scandinavia's 0.6%, for instance). This upright proponent of international law (under whose aegis it bombed and invaded half a dozen countr... ...es in the world: together with Nazi Germany it had a working eugenics program (the 1935 anti-Jewish Nuremberg Laws and the Nazi sterilization law w...

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...The history of four terrorist organizations in the Balkans and a general introduction to terrorism and freedom fighting. Also includes essays about religious co-existence in the Balkans and about pathological narcissism as a precursor to terrorism....

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... All rights reserved. This book, or any part thereof, may not be used or reproduced in any manner without written permission from: Lidija Rangelovsk... ...unet.com.mk or to vaknin@link.com.mk Visit the Author Archive of Dr. Sam Vaknin in "Central Europe Review": http://www.ce-review.org/authorarchi... ...Freedom Fighters "'Unbounded' morality ultimately becomes counterproductive even in terms of the same moral principles being sought. The law of d... ...mes counterproductive even in terms of the same moral principles being sought. The law of diminishing returns applies to morality." Thomas Sowell ... ...ugoslavia, Bulgaria and central Europe." "Black Hand over Europe" by Henri Pozzi, 1935 THE SIN Yugoslavia was born in sin and in sin it peris... ...ed openly (though disarmed by the Yugoslav police) in army barracks in Varadzin. In 1935, a fascist movement was established in Serbia ("Zbor"). Fa... ...very telling. At first it concentrated its fiery intentions only upon military and law and order personnel. Its reluctance to effect civilians was ... ...ompanies, hospitals, managed healthcare, private clinics, academic departments, and law enforcement agencies rely, for their continued and exponent...

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...Progress in Physics has been created for publications on advanced studies in theoretical and experimental physics, including related themes from mathematics. All submitted papers should be professional, in good English, containing a b...

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...The Journal on Advanced Studies in Theoretical and Experimental Physics, including Related Themes from Math... ...h the Library of Congress (DC). This journal is peer reviewed and included in the abstracting and indexing coverage of: Mathematical Reviews and MathS... .../ptep_online To order printed issues of this journal, con- tact the Editor in Chief. Chief Editor Dmitri Rabounski rabounski@yahoo.com Associate Edito... ...euren Meth- oden der Differentialgeometrie. Zentralblatt f¨ ur Mathematik, 1935, Bd. 11 und Bd. 19. 12. Synge J. L. Relativity: the General Theory. No... ...of subatomic particles are different. . . I wonder how would the universal law of attraction be for antimmater and unmatter? References 1. Smarandache... ...= ξ v ξ = ξ v ξ+ξ . (2.9b) Finally we arrive at the composition law for the effective, velocity and acceleration boosts parameters ξ ; ξ... ...the parameters are required in order to prove the U(1,1) group composition law of the transformations in order to have a truly Maximal-Acceleration Ph... ...he particle problem in the General Theory of Relativity. Phys. Rev. v. 48, 1935, 73. 10. Misner C. W., Thorne K. S., Wheeler J. A. Gravitation. W. H. ...

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...ildren we were taught at a church Sunday school or some other religious institution, or weabsorbed simple social assumptions from the culture we live in, none of us grow up in a religious vacuum. Through most of history the majority of people appear to have been reasonably satisfied with the religious culture which went hand in hand with their social structure. It has been...

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...horus by Millennium Books [an imprint of E.J. Dwyer (Australia) Pty. Ltd.] in 1995. This second edition, with text reset, various emendations, and new... ...publication rights. Copyright © 1995 and 2006 by Donald Broadribb. Typeset in Times New Roman and Futura, using the program Mellel, with an Apple iMac... ...mpathy of All Things” is based on a lecture given at the Eranos Conference in Ascona in 1955 and was published in Eranos 24-1955, © Eranos Foundation,... ...n? 35. See Myoho-Renge-Kyo, The Sutra of the Lotus Flower of the Wonderful Law, Tokyo, Rissho Kosei-Kai, 1970, pp. 307-8. 36. For example, Paul Tillic... ...thout apparent fuel… Slow, deep inspirations act as bellows and wake up a (1935). (Oxford University Press Paperback of 1967.), pp. 155-209. THE RELIG... ... the premise which pervades The Sutra of the Lotus Flower of the Wonderful Law, particularly popular in Japan. Nevertheless be- lief in permanent, ult... ...many Puritans. There was also at this time a new doctrine in international law, called the law of vacuum domicilium, holding that those people who do ... ...vans-Wentz W.Y. (ed.): Tibetan Yoga and Secret Doctrines, second edition. (1935). (Oxford University Press Paperback of 1967). Fenton, William N. (ed.... ...tribe of South-Western Australia” in Folklore, Sept. 1934, Dec. 1934, June 1935. Henderson, J.L.: Cultural Attitudes in Psychological Perspective, Inn...

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...Graphs and matrices play a vital role in the analysis and study of several of the real world problems which are based only on unsupervised data. The fuzzy and neutrosophic tools like fuzzy cognitive maps invented by Kosko and neutrosophic cognitive maps introduc...

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...itute of Technology, Madras Chennai – 600036, India e-mail: vasantha@iitm.ac.in web: http://mat.iitm.ac.in/~wbv Florentin Smarandache Departm... ...@gmail.com HEXIS Phoenix, Arizona 2005 2 This book can be ordered in a paper bound reprint from: Books on Deman... ...s.htm ISBN: 1931233-98-5 Standard Address Number: 297-5092 Printed in the United States of America 3 CONTENTS Preface ... ... Combined conflicting opinions tend to cancel out and assisted by the strong law of large numbers, a consensus emerges as the sample opinion approx... ...alism Debate: Expert Reasoning, Fuzzy Logic and Complex Statutes, Vanderbilt Law Review, 52, 1243-1340, 1999. http://law.vanderbilt.edu/lawreview/v... ...he structure of abstract algebras, Proc. Cambridge Philos. Soc., 31, 433-435, 1935. 13. Bohlen, M., and M. Mateas. Office Plant #1. http://www.a... ...le physics, information fusion, neutrosophy (a generalization of dialectics), law of sensations and stimuli, etc. He can be contacted at smarand@...

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...Matrix theory has been one of the most utilised concepts in fuzzy models and neutrosophic models. From solving equations to characterising linear transformations or linear operators, matrices are used. Matrices find their applications in several real models. In fact it is not an...

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...Matrices provide a very powerful tool for dealing with linear models. Bimatrices which we are going to define in this chapter are still a powerful and an advanced tool which can handle over one linear model at a time. Bimatrices will be useful when time bound comparisons are needed in the analysis of the model....

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...ute of Technology, Madras Chennai – 600036, India e-mail: vasantha@iitm.ac.in web: http://mat.iitm.ac.in/~wbv Florentin Smarandache Departmen... ... 2005 2 This book can be ordered in a paper bound reprint from: Books on Demand ProQuest Inf... ...ubl. Hse., Phoenix, Arizona Standard Address Number: 297-5092 Printed in the United States of America 3 CONTENTS Preface ... ... B C B . 2. Further bimatrix multiplication satisfies the distributive law for if A B = A 1 ∪ A 2 , B B = B 1 ∪ B 2 and C B = C 1 ∪ C 2 ... ...., On the structure of abstract algebras, Proc. Cambridge Philos. Soc., 31 (1935) 433-435. 6. BURROW, M., Representation Theory of Finite Groups, ...

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...equalities for the remarkable elements of triangles or tetrahedrons. Other themes have an arithmetic character (as 9-12) on number theoretic problems in Geometry. Chapter 2 includes various diophantine equations, some of which are treatable by elementary methods; others are partial solutions of certain unsolved problems. An important method is based on the famous Euler-Bel...

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... American Research Press Rehoboth 2002 This book can be ordered in microfilm format from: Books on Demand ... ... ISBN: 1-931233-51-9 Standard Address Number 297-5092 Printed in the United States of America "...It is just this, which gives the hi... ...themes have an arithmetic character (as 9-12) on number theoretic problems in Geometry. Chapter 2 includes various diophantine equations, some of whic... ... attributed to [M. Schreiber, Aufgabe 196, Jber. Deutsch. Math.-Verein, 45(1935), 63]. It appears also in [J.M. Child, Math. Gaz. 23(1939), 138- 143],... ...ality [P. Erd os - L.J. Mordell, Problem 3740, American Math. Monthly, 42(1935), 396, and 44(1937), 252-254]. There exist many consequences and appli... ...lt a +b +c 3 p 3R is another source for inequalities. For example, by the law of sinus, a = 2R sinA, etc., we get the classical trigonometric inequal...