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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... ...free anthologies here: http://samvak.tripod.com/freebooks.html Visit Sam Vaknin's United Press International (UPI) Article Archive – Click HERE! ... ... So reveal documents released in January 2003 by the Public Record Office in the United Kingdom. Trundle is described as a "very charming adventu... ...urnalists, 116,000 visitors, or curators has noticed it. Perhaps the most famous case of artistic misjudgment involves Vincent van Gogh whose wor... ...to (428-347 BC). An Egyptian priest was supposed to have described it to the Greek statesman Solon (638-559 BC). The priest insisted that Atlanti... ...rants flooded the new state. Young men in Canada West left in droves for the United States due to a shortage of agricultural land. The 1849 Gold ... ...n in Paris (1951), The Greatest Show on Earth (1952), Around the World in 80 Days (1956), The Bridge on the River Kwai (1957). War and Peace (19... ... A Californian company, Ampex Corporation, invented the video cassette recorder in 1956. The Ampex VR1000 weighed 665 kilograms and stood 110 centi...
...died the collection of subgroups of a loop. This book can be ordered in a paper bound reprint from: Books on Demand ProQuest Informat... ... ISBN: 1-931233-63-2 Standard Address Number: 297-5092 PRINTED IN THE UNITED STATES OF AMERICA 3 CONTENTS Preface 5... ... ISBN: 1-931233-63-2 Standard Address Number: 297-5092 PRINTED IN THE UNITED STATES OF AMERICA 3 CONTENTS Preface 5 1... ... 1-931233-63-2 Standard Address Number: 297-5092 PRINTED IN THE UNITED STATES OF AMERICA 3 CONTENTS Preface 5 1. Gene... ...in loops, subloops in loops and normal subloops in loops. The subgroups in case of Smarandache loops in general do not form a modular lattice. Al... ...by o(G) or |G|. The number is most interesting when it is finite, in this case we say G is a finite group. DEFINITION 1.2.3: Let G be a group. If ... ...of the classical Cayley's theorem for groups to S-loops. Cayley's theorem states "Every group is isomorphic to a subgroup of S n for some appropriat... ...r associated with Latin squares, Proc. Amer. Math. Soc., Vol. 7, 331-334 (1956). 46. Osborn.J.M, A theorem on A-loops, Proc. Amer. Math. Soc., Vol... ... A class of simple Moufang loops, Proc. Amer. Math. Soc., Vol.7, 471-482 (1956). 49. Pflugfelder.H.O, A special class of Moufang loops, Proc. Amer...
...cians has not found a sound expression, for books, be it research level or otherwise, solely dealing with the properties of loops are absent. This is in marked contrast with group theory where books are abundantly available for all levels: as graduate texts and as advanced research books....
...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... ... ISBN: 1931233-00-4 Standard Address Number: 297-5092 Printed in the United States of America 3 PERIYAR, THE PROPHET ... ... 1931233-00-4 Standard Address Number: 297-5092 Printed in the United States of America 3 PERIYAR, THE PROPHET OF THE... ... hidden pattern of the situation. As we have a very well known theory, which states that the strength of the data depends on, the number of experts... ...ronous FCMs behave as Temporal Associative Memories (TAM). We can always, in case of a model, add two or more FCMs to produce a new FCM. The strong... ...hen the reorganization of states on linguistic basis took place on 1 November 1956, Periyar welcomed it. Hotels in run by the Brahmins were called ... ..., we can know the problems and sufferings of the other castes so that we can unitedly help them come out of their problems. Except the selfish lazy... ...so and trust them. What your mind says believe that alone. [Viduthalai, 19-4-1956] Aryan domination Only the Aryans made the Dravidians barbaric...
...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...
...ija Rangelovska A Narcissus Publications Imprint, Skopje 2006 First published by United Press International – UPI Not for Sale! Non-commercial ed... ... 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... ...ww.ce-review.org/authorarchives/vaknin_archive/vaknin_main.html Visit Sam Vaknin's United Press International (UPI) Article Archive – Click HERE! ... ... O N T E N T S I. The Author II. About "After the Rain" Containing the United States I. The Roots of Anti-Americanism II. Containing the Un... ... War or Just a War? The Roots of Anti-Americanism By: Dr. Sam Vaknin The United States is one of the last remaining land empires. That it is mad... ...rican soldiers overseas, the latest of which are taking place in Iraq. In all these cases, the perpetrators were removed from the scene to face just... ...se presidents and prime ministers, though democratically elected (multiply, in some cases), have fallen prey to enraged and vigorous "people power" ... ...d rational policy- making at home. The USA prior to the Civil War, the USSR between 1956 and 1982, federal Yugoslavia after 1989, and Nazi Germany a...
The antecedents and aftermath of the wars in Afghanistan and Iraq and the role of the United States in international affairs.
...che Pima Community College, East Campus 2 This book can be ordered in a paper bound reprint from: Books on Demand ProQuest Inform... ...ht ISBN: 1-931233-24-1 Standard Address Number: 297-5092 Printed in the United States of America 3 TODAY’S TAKE ON EINSTEIN’S ... ...ISBN: 1-931233-24-1 Standard Address Number: 297-5092 Printed in the United States of America 3 TODAY’S TAKE ON EINSTEIN’S RELATIV... ...-931233-24-1 Standard Address Number: 297-5092 Printed in the United States of America 3 TODAY’S TAKE ON EINSTEIN’S RELATIVITY ... ..."Oh yes, that is all right as long as gravity does not enter; in all other cases, special relativity is applicable. Although, perhaps the general r... ...to the propagation of light, in that it founds the concept of time upon the law of propagation of light. The situation is, however, somewhat as foll... ...ces relativity must still agree with the predictions of relativity in those cases where experiment has shown relativity to be correct. 22 So... ...ving coordinates in the general relativity theory. Doklady Acad. Nauk USSR, 1956, v.107(6), 815–818. 3. Rabounski D.D. and Borissova L.B. Particles... ...scription must be continually altered. Godel's completeness theorem plainly states that a fixed language can only describe a limited number of patte...
...In a lecture that Einstein gave to the Prussian Academy of Sciences in 1921, he said the following: "Geometry predicates nothing about relations of real things, but only geometry together with the purport of physical laws can...
... 0 “. . . AND GULLIVER RETURNS” --In Sea... ...ychological Motivations 1 “. . . AND GULLIVER RETURNS” --In Sea... ...a child. He doesn‘t remember any of it, but he behaves over-aggressively toward others. Or perhaps he withdraws from human contact. In either case h... ...us eye problems. The vitamin A in butter was not present in the margarine. So they began to add the vitamin to margarine. In the mid-1940s the United... ...problems. The vitamin A in butter was not present in the margarine. So they began to add the vitamin to margarine. In the mid-1940s the United States... ... 49 ―In the famous Texas polygamy case the prophet controlled everyone. He even sent husbands to other states... ...t seem to have these problems.‖ —―We guard against them. We have seen what has often happened in the Netherlands, Scandinavia and the United... ...tudy of Obedience‖ J of Abnormal and Social Psychology 67:4 (1963) 371-7. 4. Erich Fromm, The Art of Loving New York: Harper and Brothers, 1956, ... ...BBC April 7, 2008 8. Encyclopedia of Mental Health. N. Y. 1963, Vol. 3, p. 950. 9. Magoun, Alexander. Love and Marriage. Harper & Row, N. Y. 1956 ...
...Table of Contents IN THE HOTEL 8 LOOKING FOR HAPPINESS 10 WE MUST THINK MORE DEEPLY—AND UNDERSTAND OUR THINKING 20 OUR BASIC ASSUMPTIONS 24 -- THE FOUNDATIONS OF OUR VALUES -- 24 SELF-CENTEREDASSUMPTIONS 32 GODBASEDASSUMPTIONS 41 CONCEPTS OF G...
...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... ... ISSN: 1555-5615 (online) Standard Address Number: 297-5092 Printed in the United States of America JULY 2005 VOLUME 2 CONTENTS S. J. Crothers On the ... ...1555-5615 (online) Standard Address Number: 297-5092 Printed in the United States of America JULY 2005 VOLUME 2 CONTENTS S. J. Crothers On the Geometr... ...herefore that (2b) is not a general, but a particular expression, in which case the form of C(r) has been fxed to C(r)=r 2 . Thus, the solution to (2b... ...ance which is the important quantity, not the coordinate. It is simply the case that on (1), in the usual sense, the distance and the coordinate are i... ...a set of quantum orbital angular velocities, must possess numerous quantum states of the time density feld. The quan- tum states are set up with the s... ...ing coordinates in the general relativity theory. Doklady Acad. Nauk USSR, 1956, v. 107 (6), 815–818. 4. Zelmanov A. L. Orthometric form of monad form... ... v. 118, 1105; Phys. Rev. Lett., 1959, v. 3, No. 12. 35. Takeno H. Tensor, 1956, v. 6, 15; 1958, v. 8, 59. 36. Takeno H. Tensor, 1962, v. 12, 197. 37....
...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...
...matter: a new kind of matter whose atoms include both nucleons and anti-nucleons, while their life span was very short, no more than 10-20sec. Stable states of unmatter can be built on quarks and anti-quarks: applying the unmatter principle here it is obtained a quantum chromodynamics formula that gives many combinations of unmatter built on quarks and anti-quarks....
...al Report Contributing to Efforts for Greater Financial Markets Stability in APEC Economies APEC Study ... ... August 2011 Contributing to Efforts for Greater Financial Markets Stability in APEC Economies ii ... ...ense support from various resource institutions in Indonesia, Australia, Mexico, and United States which among others included Bank Indonesia (BI)... ...pport from various resource institutions in Indonesia, Australia, Mexico, and United States which among others included Bank Indonesia (BI), Indon... ... the Republic of Indonesia to Mexico, and the Embassy of the Republic of Indonesia to United States for their invaluable assistance in arranging our... ...public of Indonesia to Mexico, and the Embassy of the Republic of Indonesia to United States for their invaluable assistance in arranging our visits... ...project used four APEC economies (Australia; Indonesia; Mexico; and United States) as case studies. Data collected from the sample economies served ... ...creasingly complex interconnected financial sector and non-financial sector. In any case, significant distortions in the real economy under conditi... ... banking, establishing them as separate lines of commerce. Bank Holding Company Act of 1956 (P.L. 84-511, 70 STAT. 133) required Federal Reserve Boar...
...The purpose of this project is to contribute to ongoing efforts tailored toward promoting greater financial markets stability and integration in APEC economies, achieved by: 1) undertaking research to determine the conditions that foster financial market stability to enhance integration of financial markets across the region; and 2) drawing on the findings of the r...
... All rights reserved. This book, or any part thereof, may not be used or reproduced in any manner without written permission from: Lidija Rangelovs... ... and Musings: http://philosophos.tripod.com The Silver Lining – Ethical Dilemmas in Modern Films http://samvak.tripod.com/film.html Download f... ...to property, etc.). Yet, this hierarchical arrangement does not help us to resolve cases in which there is a clash of EQUAL rights (for instance, t... ...Abortion") that pregnancies that are the result of forced sex (rape being a special case) or which are life threatening should or could, morally, be... ...re is not much difference between the embryo and the comatose. A typical contract states the rights of the parties. It assumes the existence of pa... ...ion (state vector) in quantum mechanics – the represent millions of potential final states (=millions of potential embryos and lives). The fetus is ... ...ys been the most fervent anti-Semites. Jews are not so much a race as a community, united in age-old traditions and beliefs, lore and myths, histor... ...y. This viral hijacking of the host country's agenda is particularly evident in the United States where the interest of Jewry and of the only super... ...etimes in cahoots with much despised colonial powers, such as Britain and France in 1956. The Anti-Israeli: This volatile mixture of ideological r...
Cyclopedia of issues in economics analyzed through the prism of the economies of countries in transition, emerging markets, and developing countries.
...Cyclopedia of issues in modern philosophy: The philosophy of science and religion, the cognitive sciences, cultural studies, aesthetics, art and literature, the philosophy of economics, the philosophy of psychology, and ethics....
...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... ...y always opt for a vacation when they could otherwise work. People in the States still believe that money buys happiness. But when people are survey... ...rish. But I understand there are more problems in the poorer areas of the States and in Latin America where people know that contraception and abort... ...ts had found through their complete review of the facts and values of the case. He did this in the 152 death cases that he affirmed as governor of T... ...aid that 26 it is better to ‗err on the side of life.‘ In the Schiavo case was he considering the poor people who need organ transplants or othe... ...o most religions have had similar mystical experiences--the Hindu who has united with the Brahman through years of correct meditation. The holy Jew,... ...d they speak of their experiences just as do Buddhists or Hindus who have united with the oneness of nature. These saints are close brothers in thei... ...cause of debts, marriages to non-consenting females, and child slavery. In 1956 the United Nations added more provisions to the previously enacted in...
...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 ...
...ect to the exception immediately following, this book may not be reproduced, in whole or in part, including illustrations, in any form (beyond that co... .... It can be accessed through the author’s Web site at http://www.jz.org. Set in Adobe Garamond type by The Composing Room of Michigan, Inc. Printed in... ...n Adobe Garamond type by The Composing Room of Michigan, Inc. Printed in the United States of America by R. R. Donnelley, Harrisonburg, Virginia. Libr... ... Garamond type by The Composing Room of Michigan, Inc. Printed in the United States of America by R. R. Donnelley, Harrisonburg, Virginia. Library of ... ...e- dients for a functioning PC were provided in a convenient molded plastic case. It looked clunky, yet it could be at home on someone’s desk. Instea... ...ght welcome them—they also arise within technology-embracing au- thoritarian states, because the technology is exported. A lockdown on PCs and a corre... ...accounts payable, and perhaps a more enter- prise-specific program, such as a case management system for a hospital or a course selection and assignmen... ...4 By one credible estimate, there will be over 290 million PCs in use in the United States by 2010 and 2 bil- lion PCs in use worldwide by 2011. 75 In... ...18–22 (2005). 3. See Hush-A-Phone v. United States, 238 F .2d 266 (D.C. Cir. 1956). 4. Id. at 269. 5. See Use of the Carterfone Device in Message Toll...
...FLORENTIN SMARANDACHE A UNIFYING FIELD IN LOGICS: NEUTROSOPHIC LOGIC. NEUTROSOPHY, NEUTROSOPHIC SET, NEUTROSOPHIC... ...ress Rehoboth 1999, 2000, 2003 FLORENTIN SMARANDACHE A UNIFYING FIELD IN LOGICS: NEUTROSOPHIC LOGIC. NEUTROSOPHY, NEUTROSOPHIC SET, NEUTROSOPHIC... ...Manifesto of the PARADOXISM is especially a revolt of the emigrant to the United States who doesn't speak English, against the language - an anti- la... ...to of the PARADOXISM is especially a revolt of the emigrant to the United States who doesn't speak English, against the language - an anti- language ... ...oems; - poems in Pirissanorench (language spoken in the South-West of the United States by a single person!); - super-poems; 6 - graphic poems; ... ...- poems in Pirissanorench (language spoken in the South-West of the United States by a single person!); - super-poems; 6 - graphic poems; - upse... ...subsets could represent the relative errors in determining t, i, f (in the case when the subsets T, I, F are reduced to points). Statically T, I, F a... ... + inf S 2 , sup S 1 /S 2 = sup S 1 + sup S 2 ; and, as some particular cases, we have {a} /S 2 = {x xx=a+s 2 , where s 2 cS 2 } with inf {a} /S ... ...true nor false’; - Relevance Logic (or Relevant Logic) (Wilhelm Ackermann 1956, Alan Anderson and Nuel Belnap 1959-1974) promulgates that the premis...
...It was known to me his setting up in 1980’s of a new literary and artistic avant-garde movement that he called “paradoxism”, because I received some books and papers dealing with it in order to review them for the German journal “Zentralblatt fár Mathematik”....
...Paradoxism is an avant-garde movement in literature, art, philosophy, science, based on excessive used of antitheses, antinomies, contradictions, parables, odds, paradoxes in creations....
... Seymour H. Fine With Foreword by Philip Kotler Originally Published in 1981 by Praeger Publishers. 3 TABLE OF CONTENTS TH... ...SS 14 Social Issues and Causes 14 SOME CONCEPTS AND THEIR ATTRIBUTES 15 INCREASE IN CONCERN WITH IDEAS 17 From Inner to Other-Directedness 17 Vol... ...ARY 35 3 IDEA PRODUCERS 36 THE EMERGING CONCEPT SECTOR 36 Government, a Special Case 36 Commercial Firms 37 HOW DO THEY MARKET? 38 Study Design... ...d order, in other words, brainwashing. Webster's New World Dictionary , in fact , states that the word is "now often used disparagingly to connote d... ...ory when restrictions on the spread of ideas have been so relaxed, at least in the United States. Government, church and family are as liberal as th... ...n restrictions on the spread of ideas have been so relaxed, at least in the United States. Government, church and family are as liberal as they have... ...ntries are not precisely ideas or issues but rather organizations, for example, the United Way, or tactics, such as VD hot line. These departures fro... ...e brain which accommodates seven "chunks" of information-plus or minus two (Miller 1956). Psychological concepts, such as memory, information overl... ...ook of Research Design and Social Measurement. New York: McKay. Miller, George A. 1956. "The Magical Number Seven, Plus or Minus Two: Some Limits on...
...An idea is taken for granted in the scheme of things. Someone exclaims, "I've got an idea!" What is it that he has? From where did he get it? How was it transmitted? How might it spread to others? What will be the effect of the acceptance of the idea? Th...
...or through liaison channels from the Central Intelligence Agency. Requesters in the Department of Defense may obtain copies from: Defense Intelligence... ...shington, D.C. 20340-3344 Tel: (202) 373-3869 or Autovon 243-3869 Requesters in the Department of State may obtain copies from: Department of State IN... ...elow. The World Factbook is by the Directorate of II Central Intelligence Ag United States Governm' i 11 n n style, format, coverage, ^ designed to me... ...he World Factbook is by the Directorate of II Central Intelligence Ag United States Governm' i 11 n n style, format, coverage, ^ designed to meet thei... ... Tunisia 246 Turkey 247 Turks and Caicos Islands 249 Tuvalu 250 U Uganda 251 United Arab Emirates 252 United Kingdom 253 United States 255 Uruguay 257... ...9 Tuvalu 250 U Uganda 251 United Arab Emirates 252 United Kingdom 253 United States 255 Uruguay 257 Vanuatu 259 Vatican City 260 Venezuela 261 Vietnam... ...lish common law; constitution adopted 1900; High Court has jurisdiction over cases involving interpretation of the constitution; accepts compulsory IC... ...s' Party (MSZMP), sole party; Janos Kadar, General Secretary (since November 1956; his title was changed from First Secretary to Gen- eral Secretary i... ...systems Government leaders: Habib BOURGUIBA, President (Prime Minister since 1956, President since 1957, President for Life since November 1974); Rach...
...There have been some significant changes in this edition. A new Geography section has replaced the former Land and Water sections. Entries in the new section include area (total and land), comparative area, land boundaries, coastline, maritime claims, boundary disp...
...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... ... ISSN: 1555-5615 (online) Standard Address Number: 297-5092 Printed in the United States of America APRIL 2005 VOLUME 1 CONTENTS D. Rabounski A New Me... ...1555-5615 (online) Standard Address Number: 297-5092 Printed in the United States of America APRIL 2005 VOLUME 1 CONTENTS D. Rabounski A New Method to... ...l impulse on the spatial section of any given observer is positive in this case. We also denote space-time indices in Greek, while spatial indices are... ...∂t 2 containing the linear velocity a of the wave. For this reason, in the case of gravitational felds, the d’Alembert equations give rise to a possib... ...ing coordinates in the general relativity theory. Doklady Acad. Nauk USSR, 1956, v. 107 (6), 815–818. 8. Zelmanov A. L. Orthometric form of monad form... ...ing coordinates in the general relativity theory. Doklady Acad. Nauk USSR, 1956, v. 107 (6), 815–818. 3. Rabounski D. D. and Borissova L. B. Particles... ... on-shell constraint p 2 −m 2 =0 as an operator constraint on the physical states after replacing p μ for−i∂/∂x μ (we use units in which =1,c=1): ∂...
...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... ... ISBN: 1931233-98-5 Standard Address Number: 297-5092 Printed in the United States of America 3 CONTENTS Preface ... ...SBN: 1931233-98-5 Standard Address Number: 297-5092 Printed in the United States of America 3 CONTENTS Preface 5 ... ... ⎦ . A N is a rectangular mixed semi neutrosophic bimatrix. Thus as in case of bimatrices we may have square, mixed square, rectangular or mi... ...⎢ ⎥ ⎢ ⎥ ⎣ ⎦ . A F is a rectangular mixed semi fuzzy bimatrix. Thus as in case of bimatrices we may have square, mixed square, rectangular or mi... ... hidden pattern of the situation. As we have a very well known theory, which states that the strength of the data 76 depends on, the number of ex... ... Combined conflicting opinions tend to cancel out and assisted by the strong law of large numbers, a consensus emerges as the sample opinion approx... ...ructure of Rings, Colloquium Publications, 37, American Mathematical Society, 1956. 59. Jang, S.R., C.T. Sun and E. Mizutani. Neuro-fuzzy and Soft ...
...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...
... 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... ... ISBN: 1-931233-51-9 Standard Address Number 297-5092 Printed in the United States of America "...It is just this, which gives the higher ar... ...: 1-931233-51-9 Standard Address Number 297-5092 Printed in the United States of America "...It is just this, which gives the higher arithmeti... ...podaire triangle A 0 B 0 C 0 . Smarandache’s Podaire theorem [2] (see [1]) states that X a 0 b 0 1 4 X a 2 (1) wherea;b;c are the sides of the trian... ...nequality than (1), but which holds for all tetrahedrons. For a particular case this will give another result of type (1). Let S A =Area(BCD), etc. Th... ...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... ... p Xp bc(p a) q p X ab: Let P I in (3). Since p a =p b =p c =r in this case, we reobtain the left side of (7). In fact, for this choice of P , ine... .... 2. I. Niven, Irrational Numbers, Carus Math. Monographs No.11, New York, 1956. 3. J. S andor, Irrational Numbers (Romanian), Univ. Timi soara, Cai...
...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...
...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... ...e., Phoenix, Arizona Standard Address Number: 297-5092 Printed in the United States of America 3 CONTENTS Preface 5... ...enix, Arizona Standard Address Number: 297-5092 Printed in the United States of America 3 CONTENTS Preface 5 C... ...ric bimatrices 31 1.4 Subbimatrix 42 1.5 Basic concept of bideterminant in case of bimatrices 49 1.6 Laplace equation for bimatrix 58 1.7 Spe... ... subbimatrix and some related results. The basic notion of a determinant in case of bimatrices is introduced in section five. Laplace equation for a... ... 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 ... ...singular. Now it is important to recollect that unlike vector spaces which states same dimension vector spaces over the same field are isomorphic w... ...ture of Rings, Colloquium Publications, 37, American Mathematical Society, 1956. 17. JOHNSON, T., New spectral theorem for vector spaces over fini...
...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...
...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....
...te of Technology, Madras Chennai – 600036, India e-mail: vasantha@iitm.ac.in web: http://mat.iitm.ac.in/~wbv Florentin Smarandache Department... ... HEXIS Phoenix, Arizona 2005 2 This book can be ordered in a paper bound reprint from: Books on Demand ProQuest Info... ...N: 1931233-97-7 Standard Address Number: 297-5092 Printed in the United States of America 3 CONTENTS Preface 5 ... ...1233-97-7 Standard Address Number: 297-5092 Printed in the United States of America 3 CONTENTS Preface 5 Cha... ...for α, β ∈ V and c, c 1 ∈ F. It is important to note as the definition states that a vector space is a composite object consisting of a field, a... ..., real numbers. We are not interested in the study of these properties in case of complex fields. Here we recall the concepts of linear functionals... ...s to interrelate type I and type II Smarandache vector spaces. However in case of S-vector spaces of type II we define a stronger version. 19 DE... ...ure of Rings, Colloquium Publications, 37, American Mathematical Society, 1956. 21. JOHNSON, T., New spectral theorem for vector spaces over finit...
...ich is also a very powerful algebraic tool that can yield itself to applications. With the recent introduction of bimatrices (2005) we have ventured in this book to introduce new concepts like linear bialgebra and Smarandache neutrosophic linear bialgebra and also give the applications of these algebraic structures....
...In this section we give the definition of linear algebra and just state the few important theorems like Cayley Hamilton theorem, Cyclic Decomposition Theorem, Generalized Cayley Hamilton Theorem and give some properties about...
... . This is a major difference between a ring and a Smarandache ring. For, in a ring the lattice representation of ideals is always a modular lattice... ...e lattice representation of ideals is always a modular lattice but we see in case of S-rings the lattice representation of S-ideal need not in gener... ...attice representation of ideals is always a modular lattice but we see in case of S-rings the lattice representation of S-ideal need not in general ... ... ISBN: 1-931233-64-0 Standard Address Number: 297-5092 Printed in the United States of America 3 CONTENTS Preface 5 ... ... 1-931233-64-0 Standard Address Number: 297-5092 Printed in the United States of America 3 CONTENTS Preface 5 1. P... ... Two levels of Smarandache rings are defined. We have elaborately dealt in case of Smarandache ring of level I, which, by default of notion, will be ... ...correcting this book. I dedicate this book to be my beloved mother-in-law Mrs. Salagramam Alamelu Ammal, whose only son, an activist-writer and ... ...e concept of lattices as we have a well known result in ring theory which states that “the set of all two sided ideals of a ring form a modular latt... ...43). 39. Jacobson.N, Structure of ring, American Mathematical Society, (1956). 40. Jin Xiang Xin, Nil generalized Hamiltonian rings, Heilongiang...
...Over the past 25 years, I have been immersed in research in Algebra and more particularly in ring theory. I embarked on writing this book on Smarandache rings (Srings) specially to motivate both ring theorists and Smarandache algebraists to develop and study several imp...
...ican Research Press Rehoboth 2003 2 This book can be ordered in a paper bound reprint from: Books on Demand ProQuest Informat... ...BN: 1-931233-71-3 Standard Address Number: 297-5092 Printed in the United States of America 3 CONTENTS Preface Chapter One: I... ...931233-71-3 Standard Address Number: 297-5092 Printed in the United States of America 3 CONTENTS Preface Chapter One: INTRODUC... ...71-3 Standard Address Number: 297-5092 Printed in the United States of America 3 CONTENTS Preface Chapter One: INTRODUCTORY CO... ...times several subsets will simultaneously enjoy the same property like in case of defining Smarandache automaton and semi- automaton where, in a sing... ...reducibility or the irreducibility of a polynomial, or we can say in some cases a polynomial is such that it cannot be reducible or irreducible. Lik... ...leasure. I humbly dedicate this book to Dr. Babasaheb Ambedkar (1891-1956), the unparalleled leader of India's two hundred million dalits. His ... ... ∪ A 2 and a function δ : Z × (A 1 ∪ A 2 ) → Z, Z is called the set of states and A = A 1 ∪ A 2 the input alphabet and δ the next state function... ...30. JACOBSON, Nathan, Structure of rings, American Mathematical Society, (1956). 31. JACOBSON, Nathan, Theory of rings, American Mathematical Soci...
...of bialgebraic structures started very recently. Till date there are no books solely dealing with bistructures. The study of bigroups was carried out in 1994-1996. Further research on bigroups and fuzzy bigroups was published in 1998. In the year 1999, bivector spaces was introduced. In 2001, concept of free De Morgan bisemigroups and bisemilattices was studied. It is said...
...HE NEW TERRORISM 47 2.1 A Declaration of War 47 2.2 Bin Ladin’s Appeal in the Islamic World 48 2.3 The Rise of Bin Ladin and al Qaeda (1988–1992... ... Qaeda (1988–1992) 55 2.4 Building an Organization, Declaring War on the United States (1992–1996) 59 2.5 Al Qaeda’s Renewal in Afghanistan (1996–... ...(1988–1992) 55 2.4 Building an Organization, Declaring War on the United States (1992–1996) 59 2.5 Al Qaeda’s Renewal in Afghanistan (1996–1998) ... ...Declaring War on the United States (1992–1996) 59 2.5 Al Qaeda’s Renewal in Afghanistan (1996–1998) 63 3. COUNTERTERRORISM EVOLVES 71 3.1 From t... ...MS 215 7.1 First Arrivals in California 215 7.2 The 9/11 Pilots in the United States 223 7.3 Assembling the Teams 231 7.4 Final Strategies and... ...5 7.1 First Arrivals in California 215 7.2 The 9/11 Pilots in the United States 223 7.3 Assembling the Teams 231 7.4 Final Strategies and Tactic... ...t. ”The screener should have “resolved” what set off the alarm; and in the case of both Moqed and Hazmi, it was clear that he did not. 16 At 7:50, Maj... ...ligence efforts, which included a covert action program that operated from 1956 to 1971 against domestic organizations and, eventually, domestic dissi... ...enri Pirenne, A History of Europe, trans. Bernard Miall (University Books, 1956), pp. 25–26. 7. See Martin Marty and R. Scott Appleby , eds., Fundamen...
...Excerpt: We present the narrative of this report and the recommendations that flow from it to the President of the United States, the United States Congress, and the American people for their consideration. Ten Commissioners--five Republicans and five Democrats chosen by elected leaders from our nation?s capital at a time of great partisa...
... a Homeland Defense 14 1.3 National Crisis Management 35 2. THE FOUNDATION OF THE NEW TERRORISM 47 2.1 A Declaration of War 47 2.2 Bin Ladin?s Appeal in the Islamic World 48 2.3 The Rise of Bin Ladin and al Qaeda (1988?1992) 55 2.4 Building an Organization, Declaring War on the United States (1992?1996) 59 2.5 Al Qaeda?s Renewal in Afghanistan (1996?1998) 63 3. COUNTERTERR...
...e of any kind. Any per- son using this document file, for any purpose, and in any way does so at his or her own risk. Neither the Pennsylvania State U... ...ntained within the document or for the file as an electronic transmission, in any way. The World Set Free by H. G. Wells, the Pennsylvania State Unive... .... The reader will be amused to find that here it is put off until the year 1956. He may natu- rally want to know the reason for what will seem now a q... ...to do with this dating forward of one’s main events, but in the particular case of The World Set Free there 4 The World Set Free was, I think, anothe... ...st to get well forward with his discovery of the release of atomic energy. 1956—or for that matter 2056—may be none too late for that crowning revolut... ...t because of the develop- ment of scientific knowledge, separate sovereign states and separate sovereign empires are no longer possible in the world, ... ...ave supposed a sort of epidemic of sanity to break out among the rulers of states and the leaders of mankind. I have represented the native common sen... ... land a poor little League of (Allied) Nations (excluding the 5 H G Wells United States, Russia, and most of the ‘subject peoples’ of the world), mee... ...llows, come and scrap the mint!’ In the year 1955 the suicide rate for the United States of America quadrupled any previous record. There was an enor-...