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...The author's motivating interest the past few years has been the 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 ...

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...y Table 1A. Elliptic Parameters of S'. {θ θ θ θ = arcsin(v)} S' a b f 1 v a / b σ σ σ σ e a 1 co... ...be ordered in microfilm format from: Bell and Howell Co. (University of Microfilm International) 300 N. Zeeb Road P.O. Box 1346, Ann A... ...31233-46-2 Standard Address Number 297-5092 Printed in the United States of America 4 G-DIMENSIONAL THEORY & THE SMARANDACHE QUANTUM... ...]. In terms of the general kinetic vector, the major and minor axial radial lengths have the defined ratio: a / b = (1 - v 2 ) -1/2 , ... ...lds this factor as well, with its inverse as cosine of theta. In Fig.1c the length of the major axis radius, {a 1 ,a 2 } of the vector equivalent e... ...e projective cone's centerline axis, (ϒ o ). The "vector-proportional focal length" (f), defines the general kinetic vector geometric relationship w... ...clear gravity wells. ( µ ) : m = 207 e.m.u. ≅ 1/9 a.m.u. (electron mass units), (atomic mass units) ; t 1/2 = 2.2 x 10 -6 sec. ; µ → e + 2 ...

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...The electric book introduces the construction of hard disk, the theory of data saving, construction of file system, the reasons of data lost and the examples of data recovery in detail. For more information visit http://www.easeus.com ...

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...-------------------------------------------------------------- The core of information age is the information technology, while the core of the inf... ...s in the information process and storage. Along with the rapid development of the information and the popularization of the personal computer, people... ... know we need storage devices to save data, while there are so many kinds of storage devices and modes to save data. What’s more, when saving the da... ...g a slow process. De-fragmentation is one solution to this, but is often a lengthy process in itself and has to be repeated regularly to keep the FAT... ...o group sectors into larger blocks referred to as clusters, or allocation units. Cluster size, however, is not a predetermined size, but rather is d... ...irst sector works while the sixth is backup of the first); FAT1=FAT2. The length of FAT will change according to the size of partition and the number... ...ber of sectors. DIR changes the most. In early time system, DIR has fixed length of 32 sectors while each file directory covers 32 bytes. As a resul... ...ss and reasonableness of FDT and FAT. For partition of NTFS, we need more units to load the file system, which is more complex than FAT. What if wh...

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...The electric book introduces the construction of hard disk, the theory of data saving, construction of file system, the reasons of data lost and the examples of data recovery in detail. For more information visit http://www.easeus.com...

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...-------------------------------------------------------------- The core of information age is the information technology, while the core of the inf... ...s in the information process and storage. Along with the rapid development of the information and the popularization of the personal computer, people... ... know we need storage devices to save data, while there are so many kinds of storage devices and modes to save data. What’s more, when saving the da... ...g a slow process. De-fragmentation is one solution to this, but is often a lengthy process in itself and has to be repeated regularly to keep the FAT... ...o group sectors into larger blocks referred to as clusters, or allocation units. Cluster size, however, is not a predetermined size, but rather is d... ...irst sector works while the sixth is backup of the first); FAT1=FAT2. The length of FAT will change according to the size of partition and the number... ...ber of sectors. DIR changes the most. In early time system, DIR has fixed length of 32 sectors while each file directory covers 32 bytes. As a resul... ...ss and reasonableness of FDT and FAT. For partition of NTFS, we need more units to load the file system, which is more complex than FAT. What if wh...

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...The theory of loops (groups without associativity), though researched by several mathematicians has not found a sound expression, for books, be it research level or otherwise, solely dealing with the properties of loops are absent. This...

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... B 5 1 Smarandache Loops W. B. Vasantha Kandasamy Department of Mathematics Indian Institute of Technology, Madras Chennai – 600036, I... ... A 3 A 4 A 5 2 The picture on the cover represents the lattice of subgroups of the Smarandache loop L 15 (8). The lattice of subgroups of... ... But for the Smarandache concepts one wouldn't have studied the collection of subgroups of a loop. This book can be ordered in a paper bound rep... ...S n has n! elements in it. A permutation σ of the set X is a cycle of length n if there exists a 1 , a 2 , …, a n ∈ X such that a 1 σ = a 2 , ... ...         − 1 n 3 2 n 1 n 2 1 a a a a a a a a K K . A cycle of length 2 is a transposition. Cycles are disjoint, if there is no element in... ...rder of the cycles. DEFINITION 1.2.7: A permutation with k 1 cycles of length 1, k 2 cycles of length 2 and so on, k n cycles of length n is sa... ....N, Topics in Algebra, Wiley Eastern Limited, (1993). 28. Higman.G, The units of group rings, Proc. London Math. Soc., Vol.46, No.2, 231-248 (1940...

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...amples from science and Kabbalah that the ego stands behind all human suffering, but also shows how we can use it to our benefit. With clear analyses of the human soul and its problems, the book provides a 'roadmap' indicating how we can achieve a new level of existence and fulfillment....

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...Chaos to Harmony The Solution to the Global Crisis According to the Wisdom of Kabbalah Rav Michael Laitman, PhD Translation: Chaim Ratz Editor: C... ...M CHAOS TO HARMONY The Solution to the Global Crisis According to the Wisdom of Kabbalah Copyright © 2006 by MICHAEL LAITMAN All rights reserved P... ...uentin Rd, 2nd floor, Brooklyn, New York, 11223, USA Printed in Canada No part of this book may be used or reproduced in any manner without written p... ... In the essay, “The Freedom,” Baal HaSulam discusses each of these factors at length and reaches the following conclusions: 1 One cannot change one’... ...ion of genera- tions before us, we can compare the internal data within us to units of information. Such units of information are within every objec... ...hese searches are registered as additional records within their internal data units. As a result, these information units gradually improve. Chap... ...the public and to the whole are registered.” The evolution of the information units within us has brought us to a preliminary level of awareness of ... ...ing to Newton, regardless of the speed, the pole will appear to have the same length in the eyes of an observer. According to Einstein, however, the...

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Anthology of fascinating historical and scientific facts and links to relevant Web sources.

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...from: Lidija Rangelovska – write to: palma@unet.com.mk Visit the Author Archive of Dr. Sam Vaknin in "Central Europe Review": http://www.ce-revi... ...samvak.tripod.com/ ISBN: 9989-929-40-8 Created by: LIDIJA RANGELOVSKA REPUBLIC OF MACEDONIA C O N T E N T S I. A II. B III. C IV. D V... ...XI. The Author XXII. About "After the Rain" A Abdication Crisis The love affair of Edward, Prince of Wales (Edward VIII) and Wallis Simpson in 1... ...tilis was renamed Julius (July) in his honor. The Julian calendar estimated the length of the natural solar year (the time it takes for the eart... ... This would have the effect of bringing the Julian calendar closer to the natural length of the solar year - though an error of 26 seconds per yea... ... of dilatory motions, intentional absence from the assembly to prevent a quorum, or lengthy speechmaking. Even speeches completely unrelated to the ... ... Israel. Served in the Israeli Defence Force (1979-1982) in training and education units. Education Graduated a few semesters in the Technion ...

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...In a world torn apart by a ruthless dictator, humanity is enslaved and on the verge of extinction. The governments have fallen. The cities lie in ruin. The only hope is a man who has been in exile for over a year....

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...ON Mike Saxton Copyright © 2010 All rights reserved – Mike Saxton No part of this book may be reproduced or transmitted in any form or by any means,... ... the permission, in writing, from the publisher. Eloquent Books An imprint of Strategic Book Group P.O. Box 333 Durham CT 06422 www.StrategicBookGroup... ...trategicBookGroup.com ISBN: 978-1-60911-286-8 Printed in the United States of America Book Design: Rolando F. Santos This book is dedicated to my wif... ...ng at the view screens, Jade reviewed the footage taken by various Seeker units and the BFT-5000 during the atack. She scanned carefully. The chaos ... ... right wall there were half a dozen booths set up running down the entire length. 177 7 Scorpions: Rebellion On the other side were the breakfast b... ...rge would believe someone would make it to the roof. Afer all, the Seeker units and their commanders were used to winning. Afer identifying the pate... ...odded. “Four minutes and 55 seconds - yeah, I remem- ber. And no mater the length of the conversation, it won’t make another call for 20 minutes.” “Y... ...ver to tell. The kid had curly, jet black hair that had grown to shoulder length. He wore a torn sweatshirt and jeans with holes ripped into the kne... .... He opened his eyes to see an interesting sight… the bladeless helicopter units had hidden compartments on their sides that had opened. Booster jets...

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A second volume of short stories and poetry translated from the Hebrew.

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...lish and Hebrew http://gorgelink.org/vaknin/ http://samvak.tripod.com/sipurim.html Poetry of Healing and Abuse http://samvak.tripod.com/contents.h... ...m Revisited http://samvak.tripod.com/ Created by: Lidija Rangelovska, Skopje REPUBLIC OF MACEDONIA C O N T E N T S Short Fic... ...UBLIC OF MACEDONIA C O N T E N T S Short Fiction A Beheaded Cart Language of Black and Red On the Bus to Town The Butterflies are L... ...t tell who. Mother, our sister, Nomi perhaps. Someone arrives and sparks excited speech and lengthy silences. I descend the steps, some hasty greet... ...hild when he was born but he is still my little brother. He is resting now, eyes shut, our lengthy lashes – both mine and his – attached to flutter... ...y. I touch a third time, thus pledging to remain, thus telling him my love. I study him at length and he does not divert his eyes. Suddenly he smil... ...yat-Yam, Israel. Served in the Israeli Defence Force (1979-1982) in training and education units. Education Graduated a few semesters in the Techn...

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...The Book of Zohar (The Book of Radiance) is an ageless source of wisdom and the basis for all Kabbalistic literature. Since its appearance nearly 2,000 years ago, it has been the primary, and often only, source used by Kabbalists. ...

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...in Rd, 2nd floor, Brooklyn, New York, 11223, USA Printed in Israel No part of this book may be used or reproduced in any manner without written permi... ...s book may be used or reproduced in any manner without written permission of the publisher, except in the case of brief quotations embodied in criti... ...ase of brief quotations embodied in critical articles or reviews. Library of Congress Cataloging-in-Publication Data Laitman, Michael. The Zohar: a... ...AUGHTER This Light is called 600,000, for the degree of Malchut designates units, the degree of ZA—tens, the degree of YESHSUT—hundreds, the degree o... ...ual and uniform, it assumed the form of a circumference. A vertical line, length without width, signifies that the notion is unattainable by us, and... ...efachim (plural for Tefach). (Both Amah and Tefach are distance measuring units.) This is why we describe the Kli as a rectangle. The two kinds of di... ...ided into three types. The letters from Aleph to Tet (1–9) are considered units; these are the nine Sefirot of Bina. The letters from Yod to Tzadik ... ...olong the word “one,” he who utters this verse should pronounce this word lengthily, as ooone. However, The Zohar obviously alludes not to a simple ...

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...The Book of Zohar (Book of Radiance) is perhaps the most mysterious composition ever written. It contains the secrets of the whole of Creation, but until recently these secrets were shrouded in mystery and misconceptions. Now the Zo...

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... 85th Street #51, Brooklyn, New York, 11214, USA Printed in canada No part of this book may be used or reproduced in any manner without written permis... ...is book may be used or reproduced in any manner without written permission of the publisher, except in the case of brief quotations embodied in critic... ... embodied in critical articles or reviews. ISBN 978-1-897448-59-5 Library of congress control Number: 2011903649 copy Editor: c. gerus Associate Ed... ...h it was ruined in that generation. I have looked into the reason for the length of our exile, and I have found an answer in The Book of Zohar (in ... ...d image of the bee is the sum of visions received by each of the numerous units that compose its eyes Different creatures perceive reality different... ...d to give up your enemies before you; therefore shall your camp be holy.” leNGTh of The exIle Ki Tissa [When you Take] 21) We see, and so can the str... ...d from life in the world. And it is written, “For it is your life and the length of your days,” and it is written, “For length of days, and years of...

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...llyfield. All rights reserved. http://www.jdhollyfield.com This is a work of fiction. Names, characters, places, and incidents either are the product... ...f fiction. Names, characters, places, and incidents either are the product of the author's imagination or are used fictitiously, and any resemblance ... ...l. Without limiting the rights under the copyright reserved above, no part of this publication may be reproduced, stored in or introduced into a retr... ...Reluctantly she moved to the spot he pointed to, which put Laylah an arm’s length away from him. “Let’s review your latest lapses in judgment startin... ...roups on Earth. The ship was created with five thousand cold sleep storage units for passengers and crew. It boasted an impressive sixty cargo bays. ...

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...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 do so... The idea of the measuring rod and the idea of ...

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... TODAY'S TAKE ON EINSTEIN’S RELATIVITY PROCEEDINGS OF THE CONFERENCE OF 18 FEB 2005 Cover Montage by Bob Wise Models of X-... ...: Books on Demand ProQuest Information & Learning (University of Microfilm International) 300 N. Zeeb Road P.O. Box 1346, Ann A... ...://wwwlib.umi.com/bod/ Peer Reviewers: Victor Pantcheliouga, Institute of Theoretical and Experimental Physics, Pushchino (Moscow region), Russ... ...pite of the foregoing comment, we should temporarily support the use of the length and time transformations as though they were physically real. ... ...n of an absolute light barrier, since he had based that on the shrinking of lengths to zero, 6 and the slowing of clocks as the speed of lig... ...ket and the parameter τ is the time measured by a clock in the rocket. The units used in these equations are “natural coordinates” in which the vel... ...to be one. In investigating the problem it is convenient to convert to cgs units and then to units in which time is expressed in years and distance... ...light years. This eliminates many powers of ten in the discussion. In cgs units the τ g terms must be divided by c to preserve the ratio to c natu... ...t suggests that Einstein’s relativity is as it seems to be. Time dilation, length contraction and increased inertia (mass) all tied to large veloci...

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...erimental physics, including related themes from mathematics. All submitted papers should be professional, in good English, containing a brief review of a problem and obtained results. All submissions should be designed in LATEX format using Progress in Physics template. This template can be downloaded from Progress in Physics home page http://www.geocities.com/ptep_online...

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...According to the Dictionary of Mathematics (Borowski and Borwein, 1991 [1]), the paradox is “an apparently absurd or self-contradictory statement for which there is prima facie support, or an explicit contradiction derived from apparently unexceptionabl...

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...INPHYSICS A quarterly issue scientifc journal, registered with the Library of Congress (DC). This journal is peer reviewed and included in the abstrac... ...nal is peer reviewed and included in the abstracting and indexing coverage of: Mathematical Reviews and MathSciNet (AMS, USA), DOAJ of Lund University... ...534 (print) ISSN: 1555-5615 (online) 4 issues per annum Electronic version of this journal: http://www.geocities.com/ptep_online To order printed issu... ...λ is simply 2D=λc. In particular, in the standard QM case,λ is the Compton length of the particle,λ= /mc, and we recoverD= /2m. The calculations are... ...vistic massesm =0, move along world- trajectories of zero four-dimensional lengthscdτ=dσ at the velocity of light. They are known as isotropic traject... ...- able quantities are purely spatial lines of imaginary three- dimensional lengthsdσ, although being taken in ideal world- coordinatest andx i the tra... ...ormations that leave in- variant the phase-space interval are given by (in units of =c=1) (dω) 2 =(dT) 2 −(dX) 2 + (dE) 2 −(dP) 2 b 2 = =(dτ) 2 1+... ...) are rotated into each other, up to numerical b factors in order to match units. When on sets ξ a =0 in (2.2a, 2.2d) one recovers automatically the s... ...b=(1/L 2 P ) equals the maximal invariant force, or string tension, if the units of =c=1 are used. At Planck-scaleL P intervals/increments in one ref...

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...This work covers a substantial mosaic of related concepts in utility theory as applied to financial decision-making. It reviews some of the classical notions of Benthamite utility and the normative utility paradigm offered by the von Neumann-Morgenstern expected ...

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... 1 1 HEXIS Phoenix 2005 1 Sukanto Bhattacharya Department of Business Administration Alaska Pacific University, U.S.A. Ut... ... Books on Demand ProQuest Information & Learning (University of Microfilm International) 300 N. Zeeb Road P.O. Box 1346, Ann Arb... ...ib.umi.com/bod/search/basic Peer Reviewers: 1) Liu Feng, School of Information, Xi'an University of Finance and Economics, (Xi'an caijing ... ...y of money could be best measured by using the logarithm of the number of units of money. He hypothesized that the utility of additional sums of mon... ...rlying asset moves marginally, the price of the call option moves by ∆ c units. This is known in investment parlance as dynamic delta-hedging and h... ...bove equation, i is the rate of return on the risk-free asset and T is the length of the investment horizon in continuous time and w is the initial w... ... *, B j ≠ * and A i ≠ B j for at least one locus i = j, where L is the length of each chromosome encoded as a bit-string. * * 0 * 0 * * * * ... ...r example, in our above illustration, for 2 fixed loci in a bit-string of length 7, there are actually 7 C 2 = 21 of the eight-armed bandit proces...

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...Blending a subtle cocktail of Physics and Metaphysics, and building on inspiration from cutting edge thinkers, this new age opus takes the reader beyond the edge of modern science and into a higher dimensional realm where consciousness dictates its own...

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...Quantum hapter 8 : Parking in Hilbert’s Space. (94.) hapter 9 : The Flow of Entropy. (108.) hapter 10 : The Case for Other Realities. (118) hapte... ... I can pretty much guarantee that you have a and, naged to get hold of good e that ltimate goal of this work is to postulate a structure ... ...ting edge thinkers, “The Kaluza Concept” takes the reader beyond the edge of modern science into a higher dimensional realm where consciousness di... ...nd it can usually be found that the pendulum reacts at different discrete lengths of string for different material. Even more baffling, from an ort... ...eath, if visualised in the mind’s eye, have a reaction at a certain string length. How on earth could this be? How can an abstractly visualised con... ...ess and matter? Furthermore, reactions seem to reach a limit at a certain length of string, and then as the string is lengthened further, the same ... ... Einstein, too, insisted that the electromagnetic field exists in discrete units. Yet the two slit experiment seems to confirm that light actua...

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...This book arose out of a collection of papers written by Amarnath Murthy. The papers deal with mathematical ideas derived from the work of Florentin Smarandache, a man who seems to have no end of ideas. Most of the papers were published in Smara...

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...nd Smarandache Sequences Editor’s Note This book arose out of a collection of papers written by Amarnath Murthy. The papers deal with... ...ath Murthy. The papers deal with mathematical ideas derived from the work of Florentin Smarandache, a man who seems to have no end of ideas. Most of... ... were published in Smarandache Notions Journal and there was a great deal of overlap. My intent in transforming the papers into a coherent book was ... ...mber of Smarandache Distinct Reciprocal Partitions of Unity of a Given Length ………………. 16 1.3 A Note On Maohua Le’s Proof of Murthy’s Conjectu... ...che Factor ……………….. 50 5 Partitions Of A Typical Canonical Form 1.10 Length/Extent of Smarandache Factor Partitions ……………….. 55 1.11 More Id... ... Number of Smarandache Distinct Reciprocal Partitions of Unity of a Given Length The previous section introduced the Smarandache distinct recipro... ...utes R = 12. We see that for the shortest routes, one has to travel 2m units of track length. There are routes of 2m+2 units in length up to the ... ... There are routes of 2m+2 units in length up to the longest that are 4m+4 units long. Definition: The Smarandache Route Sequence (SRS) is defined ...

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...ndache algebraists to develop and study several important and innovative properties about S-rings. Writing this book essentially involved a good deal of reference work. As a researcher, I felt that it will be a great deal better if we thrust importance on results given in research papers on ring theory rather than detail the basic properties or classical results that the s...

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... a 0 1 Smarandache Rings W. B. Vasantha Kandasamy Department of Mathematics Indian Institute of Technology, Madras Chennai – 600036, I... ..., NM 2002 2 The picture on the cover is the lattice representation of the S-ideals of the Smarandache mixed direct product ring R = Z 3 × Z ... ...n a ring and a Smarandache ring. For, in a ring the lattice representation of ideals is always a modular lattice but we see in case of S-rings the la... ...s 3.1 Definition of Smarandache ring with examples 38 3.2 Smarandache units in rings 41 3.3 Smarandache zero divisors in rings 46 3.4 S... ... 3×3 . Does S 3×3 have idempotents? Does S 3×3 have zero divisors? Find units in S 3×3 . 11. For the semigroup Z 12 = {0, 1, 2, 3, … , 11} under... ...re not ideals. ii. Ideals. iii. Zero divisors. iv. Idempotents. v. Units. 12. Find in the semigroup S(21) right and left ideals. Does S(21) ... ...v K.L. and Yakovlev. A. V., Artinian Modules over a matrix ring, Infinite length modules, Trends Math. Birkhauser Basel, Bie. 98, 101-105, (2000). ...

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...In a world of chaotic alignments, traditional logic with its strict boundaries of truth and falsity has not imbued itself with the capability of reflecting the reality. Despite various attempts to reorient logic, there has remained an e...

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...ROSOPHIC COGNITIVE MAPS XIQUAN Phoenix 2003 CARE OF THE AIDS INFECTED PERSONS CREATION OF AWARENESS ABOUT AIDS PREVENT... ...E AIDS INFECTED PERSONS CREATION OF AWARENESS ABOUT AIDS PREVENTION OF SPREAD OF AIDS EPIDEMIC MEDICAL TREATMENT OF AIDS PATIENTS SOCIAL ... ...and Neutrosophic Cognitive Maps W. B. Vasantha Kandasamy Department of Mathematics Indian Institute of Technology, Madras Chennai – 600036, I... ... ⇒ A 3 ⇒ A 4 ⇒ A 5 ⇒ A 3 ⇒ A 4 ⇒ A 5 . Here, it is a limit cycle of length 3 or 3-L. A “Chaotic attractor” is a limit cycle consisting of repea... ...attractor” is a limit cycle consisting of repeating patterns of differing lengths. These equilibrium states are model inferences. 25 We giv... ...)]. c i = td(v i ) = od(v i ) + id(v i ). Transmitter variables are units whose od(v i ) is positive and their id(v i ) is 0. Receiver variabl... ...hose od(v i ) is positive and their id(v i ) is 0. Receiver variables are units whose od(v i ) is 0 and their id(v i ) is positive. Other variables w... ... with top down influences, a formal hierarchical system. Many transmitter units shows the flatness of a cognitive map where causal arguments are not... ...n of the total effect of a concept to another. Using the idea that as the length of the path increases, the indirect casual relation becomes weak, E...

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...introduction of neutrosophic theory has put forth a significant concept by giving representation to indeterminates. Uncertainty or indeterminacy happen to be one of the major factors in almost all real-world problems. When uncertainty is ...

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...to Fuzzy and Neutrosophic Models W. B. Vasantha Kandasamy Department of Mathematics Indian Institute of Technology, Madras Chennai – 600036,... ...c.in web: http://mat.iitm.ac.in/~wbv Florentin Smarandache Department of Mathematics University of New Mexico Gallup, NM 87301, USA e-mail: ... ... Books on Demand ProQuest Information & Learning (University of Microfilm International) 300 N. Zeeb Road P.O. Box 1346, Ann A... ...ponents. The graphs in the following figure have eight components. The length of a walk v 0 v 1 … v n is n the number of occurrences of lines... ...occurrences of lines in it. The girth of the graph G denoted by g(G) is the length of a shortest cycle if any in G; the circumference c(G) is the le... ...has no cycles. The distance d(u, v) between two points u and v in G is the length of a shortest path joining them if any, otherwise d (u, v) = ∞. I... ...e are analyzing some nodes / concepts which are divided into three disjoint units. Suppose we have 3 spaces say P, Q and R. We say some m nodes in ...

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...erimental physics, including related themes from mathematics. All submitted papers should be professional, in good English, containing a brief review of a problem and obtained results. All submissions should be designed in LATEX format using Progress in Physics template. This template can be downloaded from Progress in Physics home page http://www.geocities.com/ptep_online...

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...As shown, experiments registered unmatter: 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 her...

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...INPHYSICS A quarterly issue scientifc journal, registered with the Library of Congress (DC). This journal is peer reviewed and included in the abstrac... ...nal is peer reviewed and included in the abstracting and indexing coverage of: Mathematical Reviews and MathSciNet (AMS, USA), DOAJ of Lund University... ...534 (print) ISSN: 1555-5615 (online) 4 issues per annum Electronic version of this journal: http://www.geocities.com/ptep_online To order printed issu... ...r 0 on the radial line through r 0 and r, the distance between them is the length of the radial interval between the 2-spheres, D= r−r 0 . Con... ...s-bearing particle of rest-mass m 0 through a four-dimensional interval of length ds. What happens to matter during this action? To answer this questi... ...in Landau and Lifshitz. “The numerical value of a depends on the choice of units for measurement of the feld. . . . From now on we shall use the Gauss... ...urement of the feld. . . . From now on we shall use the Gaussian system of units; in this system a is a dimensionless quantity equal to 1 16π ”. Accor... ..., taken with the numerical coeffcient a= 1 16π , in the Gaussian system of units. As a result, we obtain the action (82) in the fnal form dS =dS m +dS... ...d are not orthogonal to each other (if the space is non-holonomic). So the lengths of the basis vectors may sometimes be very different from unity. We...