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..., LIU DUANSEN (EDITORS) RESEARCH ON SMARANDACHE PROBLEMS IN NUMBER THEORY (VOL. II) PROCEEDINGS OF THE FIRST NORTHWEST CONFERENCE ON NUMB... ...ORY (VOL. II) PROCEEDINGS OF THE FIRST NORTHWEST CONFERENCE ON NUMBER THEORY Hexis Phoenix, AZ 2005 EDITORS: ZHANG WEN... ...UO, SHAANXI, P.R.CHINA RESEARCH ON SMARANDACHE PROBLEMS IN NUMBER THEORY (VOL. II) PROCEEDINGS OF THE FIRST NORTHWEST CONFERENCE ON NUMB... ...ORY (VOL. II) PROCEEDINGS OF THE FIRST NORTHWEST CONFERENCE ON NUMBER THEORY Hexis Phoenix, AZ 2005 ... ... Hexis Phoenix, AZ 2005 This book can be ordered in a paper bound reprint from: Books on Demand ProQuest ... ...Florentin Smarandache, who listed many new and unsolved problems in number theory. Preface Arithmetic is where numbers run across your mind lookin... ...(n)wekonwthat δ k (n) and b m (n) both are multiplicative functions. So in order to findA, we only discuss the problem in casen = p α . Ifn = p α and (...

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...Fuzzy theory is one of the best tools to analyze data, when the data under study is an unsupervised one, involving uncertainty coupled with imprecision. However, fuzzy theory cannot cater to analyzing the data involved with indete...

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...samy H E X I S Phoenix, Arizona 2005 2 This book can be ordered in a paper bound reprint from: Books on Demand Pr... ...NCES 290 INDEX 312 ABOUT THE AUTHORS 316 5 Preface Fuzzy theory is one of the best tools to analyze data, when the data under s... ...pervised one, involving uncertainty coupled with imprecision. However, fuzzy theory cannot cater to analyzing the data involved with indeterminacy.... ...l women in Tamil Nadu. Chapter 2 is an analysis of the situation using fuzzy theory in general and Fuzzy Relational Maps (FRM) in particular. The F... ... of the nodes/ concepts. In Chapter 4 for the first time we use neutrosophic theory in general and neutrosophic relational maps (NRM) in particular... ...hrashed so whether she likes or not, willing or not should get married at the order of their parent and have sex at the order of the husband. How ca... ...s, which is the major cause for women being affected by HIV/AIDS followed in order of gradation the causes. Further among the fuzzy tools FAM model... ...have advised her not to visit them. She says they send money to her by money order. They are very much frightened that their children will also get... ... g) Component “I”, indeterminacy, can be split into more subcomponents in order to better catch the vague information we work with, and such, fo...

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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 SNJ, suggested th...

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... L. Stephen Young G-DIMENSIONAL THEORY & THE SMARANDACHE QUANTUM PARADOXES: Comparative Logic and Mod... ...& THE SMARANDACHE QUANTUM PARADOXES: Comparative Logic and Modern Quantum Theory Table 1A. Elliptic Pa... ...Research Press Rehoboth 2001 2 L. Stephen Young G-DIMENSIONAL THEORY & THE SMARANDACHE QUANTUM PARADOXES: Comparative Logic and Mod... ...& THE SMARANDACHE QUANTUM PARADOXES: Comparative Logic and Modern Quantum Theory T a b l e o f C o n t e n t s Pa... ... American Research Press Rehoboth 2001 3 This book can be ordered in microfilm format from: Bell and Howell Co. (University... ...ure. Sometimes however, one must consider introducing initial complexity in order to find the elegant pattern. As Michio 20 Kaku notes, 'hyperdim... ...ctron to close its g- shell. 26. The evident mass of an electron is three orders of magnitude less than the mass of a nucleon. And, we have presen... ...ric values may be closer to equivalent in the G- dimension, (say, within one order of magnitude), but with greater apparent mass disparity manifest i... ..., or shorter is required to produce detectable diffraction patterns in well ordered matter fields. Longer wavelength radiation such as VLS is refrac...

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...osophic set are proved. Chapter 2 denes the interval neutrosophic logic based on interval neutrosophic sets including the syntax and semantics of rst order interval neutrosophic propositional logic and rst order interval neutrosophic predicate logic. The interval neutrosophic logic can reason and model fuzzy, incomplete and inconsistent information. In this chapter, we als...

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...er in command of the first crewed test flight, and Lisa doesn't believe in magic. But she does believe in the mission. Humanity must explore space in order to survive and prosper, and she feels honored to be among the first to go where no one has gone before. She does not know what will happen when the Brane Skip engages. She thinks it will do nothing. She fears it will ex...

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...Number theory is an ancient subject, but we still cannot answer many simplest and most natural questions about the integers. Some old problems have been solved, but more arise. All the research for these ancient or new problems impl...

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...RESEARCH ON SMARANDACHE PROBLEMS IN NUMBER THEORY (Collected papers) Edited by ZHANG WENPENG D... ... Hexis 200 4 RESEARCH ON SMARANDACHE PROBLEMS IN NUMBER THEORY (Collect ed papers) Edited by ZHANG W... ...University Xi’an, P. R. China Hexis 2004 This book can be ordered in a paper bound reprint from: Books on Demand ProQuest ... ...Florentin Smarandache, who listed many new and unsolved problems in number theory. Contents Dedication v Preface xi An arithmetic function and the pr... ...its mean value 49 Gao Nan viii RESEARCH ON SMARANDACHE PROBLEMS IN NUMBER THEORY On the generalized constructive set 53 Gou su On the inferior and su... ...Moving the integral line from to . This time, the function has a second order pole point at with residue An arithmetic function and the divisor p... ... we move the integral line from to . This time, the function has a three order pole point at with residue where are the computable constants. Note... ... main term we move the integer line from to , then the function have one order pole point at with residue where are computable constants. So we ca... ... obtain the asymptotic formula if . If , then the function have a second order pole point at . Let Res denotes its residue, so we have Noting that...

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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 absen...

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...have studied the collection of subgroups of a loop. This book can be ordered in a paper bound reprint from: Books on Demand ProQuest ... ... n c e s 113 I n d e x 119 5 PREFACE The theory of loops (groups without associativity), though researched by severa... ...the properties of loops are absent. This is in marked contrast with group theory where books are abundantly available for all levels: as graduate te... ...d as advanced research books. The only three books available where the theory of loops are dealt with are: R. H. Bruck, A Survey of Binary System... ...ein, H. O. Pflugfelder and J.D.H. Smith (editors), Quasigroups and Loops: Theory and Applications, Heldermann Verlag, 1990. But none of them are com... ... using modulo integers. They serve as a concrete examples of loops of even order and it finds an application to colouring of the edges of the graph K... ... of this chapter lies in the introduction of a new class of loops of even order. We prove that the number of different representations of right alte... ...the number of different representations of right alternative loop of even order (2n), in which square of each element is identity is equal to the nu... ...cular. The final section gives 52 research problems for the researchers in order to make them involved in the study of Smarandache loops. The list of...

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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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...s. The cache may be located on the same integrated circuit as the CPU, in order to further reduce the access time. In this case it is often known as ... ... accessed then nearby memory locations are also likely to be accessed. In order to exploit spatial locality, caches often operate on several words at... ...partition tracks, to partition sectors for each track, and to arrange the order of partitions in track according to the interleave the customer choo... ...le file system, without the capability to managed individual sectors. In order for FAT to manage files with some form of efficiency is to group sect... ... in Windows 95B and is also found in Windows 98 and Windows NT 5.0. In order to overcome the volume size limit of FAT16 while still allowing memor... ...2, with 32-bit cluster numbers, of which 28 bits are currently used. In theory, this should support a total of approximately 268,435,438 (< 2 28 ) ...

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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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...s. The cache may be located on the same integrated circuit as the CPU, in order to further reduce the access time. In this case it is often known as ... ... accessed then nearby memory locations are also likely to be accessed. In order to exploit spatial locality, caches often operate on several words at... ...partition tracks, to partition sectors for each track, and to arrange the order of partitions in track according to the interleave the customer choo... ...le file system, without the capability to managed individual sectors. In order for FAT to manage files with some form of efficiency is to group sect... ... in Windows 95B and is also found in Windows 98 and Windows NT 5.0. In order to overcome the volume size limit of FAT16 while still allowing memor... ...2, with 32-bit cluster numbers, of which 28 bits are currently used. In theory, this should support a total of approximately 268,435,438 (< 2 28 ) ...

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... ARTICLE III....184 CHAPTER VI....192 CHAPTER VII.....205 CHAPTER VIII....210 CHAPTER IX....213 PART II...217 PHENOMENON I....218 § 3. ANOTHER ORDER AND ANOTHER EXPLANATION OF THESE FOUR KINGDOMS IS PROPOSED.....221 SECOND PART OF THE PROPHECY....227 PHENOMENON II....233 THE FOUR BEASTS OF THE SEVENTH CHAPTER OF THE SAME BOOK OF DANIEL...233 PHENOMENON III....24...

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..........................................................................218 § 3. ANOTHER ORDER AND ANOTHER EXPLANATION OF THESE FOUR KINGDOMS IS PROPO... ...mmation, the one of condemning that nation, the other of condemning the whole world; in order that all being concluded under sin, the Lord might come... ...tion of the Son of God,” for the declaration of the righteousness which is by faith; in order that the mystery might come full before the observation... ...God, for the declaration of the righteousness which is by faith,” this was necessary in order to show that God is no respecter of persons, or of nat... ...shall dwell the shining ones, the companions of the Lord, the true priesthood after the order of Melchisedek, who shall undertake the government of ... ... years and a half; or forty and two months, or 1260 days, —which led him into his whole theory of this vision, or as he modestly proposeth it, his c... ...ff. Now this principle established upon so broad a basis, bears hard upon our author’s theory of the apocalyptic prophecy who goes about to deprive ... ...f faith. Of which faith indeed my countrymen and churchmen have matured an intellectual theory, (that it is no more than the bare receiving of the wr...

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...A complete guide with instructions, templates and theory modules so as to help the teacher acquire ICT and interpersonal skills. The workshop aims to help teachers combat issues related with online identities....

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...y, atoms, cells, species and planets will appear distinctly as our approach becomes dedicated and logical reasoning sharper. Revealing the Heumatical Theory of Everything, the Wisdom appears as the Inevitable Reality and an order to humanity. Get ready to enter the profundities of Message Ceenom with absolute attention and deep thinking. Visit http://ceenom.info for furthe...

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...ompletely identical to the Cre- ator’s Will to bestow, also named “bestowal in order to bestow.” The will to receive does not vanish or becomes lost,... ...it with our current will to receive, we would never be able to change it. In order to enter spirituality, we must want it. But wanting means knowing... ...n- sion of the Light, and its departure, make the vessel fit for its task.” In order to attain spirituality one must turn to the Creator with a speci... ...is certain that he will please the Creator by receiving from Him. However, in order to do that we must first meet the Creator, feel Him, and build a... ...of Knowledge, and mingle with the egoistic desires (vessels of reception) in order to create a complete mixture of the vessels of bestowal and the v... ... sup- press unattainable desires. The wisdom of Kabbalah completely denies the theory of evolu- tion. The creature evolved according to the four phase... ...nnot be compared to the “substance” of one actually built. This is because in theory, the house is composed of a substance of thought, and is a pote... ...e accept this perspective? A: A science that studies the senses, including the theory of rela- tivity, maintains that everything perceived by our sens... ...same in his essay The Solution. Q: How does Kabbalah relate to the “Big Bang” theory? A: In the 16 th century, the great Kabbalist, the holy Ari, wr...

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...story, how many individuals have been willing to suffer and endure any pain in order to attain superior wisdom and to achieve spiritual elevation? How... ...hem feel there was some value to their suffering and agony. It was required in order for them to experience the Ultimate Perfection. Once having achie... ...ssence, its reason, and its qualities. How must we alter our present nature in order to acquire a completely opposite one? The basic law of the spirit... ... must make an effort not to act mechanically, through sheer force of habit. In order to make the transition from following the laws of our world, to f... ... whether we are striving to compre- hend the characteristics of the Creator in order to become one with Him. "IfIamnotforme,thenwhoisforme?AndifIamonl... ... desired result, just as He brought a person to this particular state, and the theory that one must test one’s achievements, as should all work be tes... ...ta initially prepared in it, and with the accepted norms of society, then this theory negates the whole idea of free will and the right to choose our ...

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..., terrified, clinging to obsolete vestiges of their former lives. Some of them are ordered to climb on a rotating chair, are photographed en face, h... ...administrative personnel roar in unrestrained and venomous laughter. Everyone is ordered to strip naked (“handkerchiefs and belts allowed!”), iss... ...was afraid of that. ***** “Do you think they killed him?” Dan’s conspiracy theory paranoia was infectious. “Killed whom?” “The journa... ...en by pretending to have interviewed – someone like Mueller. Of course, this pet theory of mine failed to account for many facts: If Frankenber... ...n when he successfully bled Hitler, the omnipotent Reichskanzler! Hitler could have ordered him killed – but he didn’t.” “OK, so he had some leech... ...e 1930s, Hitler asked him to delve deeper into the murky genealogy of his family in order to rebut the nasty and damaging rumors once and for all.” ... ...aria Anna ever having been to Graz. There are no child support payment slips, money orders, or cancelled checks, nothing.” I gestured my incompreh... ...rnates. I felt calm and composed. “There are only two unresolved issues with this theory.” – said Libby. We all turned to face her. “Assuming t... ...immaculate pate with a polka dot handkerchief: “Excellent point. And what’s your theory, Dan?” “Credibility.” – shrugged his interlocutor – “Wh...

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...d a beehive of workers were all scurrying around pawning off papers and giving and taking orders. Cameras jostled into position as the lights focuse... ...watched for Brand’s signal and then sent over a waiter who asked in Spanish to take their order. “Scotch, no ice. And I’ll have a mineral water,” B... ...d up a video screen and asked, “Where do you want to start?” “From the beginning,” Brand ordered. “You mean from before Stone arrived on the set?”... ...ely went to black and then to a commercial.” “Let’s see all that camera One saw,” Brand ordered. “With all due respect, I’ve got a show to direct... .... An opposite side shot before going to commercial.” “Let’s get to camera Three,” Brand ordered. Greene pushed a button, the video screen snapped... ...ion was directly connected to the Pentagon break-in.” “An unknown terrorist group is the theory, unless, you believe that Brand is involved as well... ...n of the decision making processes within the brain.” “Has anyone ever checked out this theory?” “I have seen experiments first hand. Using the w... ...y that produces what we call the conscious decision making process. If I could verify his theory of numbing, then I could find ways to stimulate the ...

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...pretations of the wisdom. Instead, they are mere intimations, without any order of cause and consequence, as it is known to those who find knowledge... ... conclude the vast variety of issues and channels that need to connect in order to achieve and to reveal that sublime goal. TWo CondUCTS—from AbovE ... ...lo W UpWArdS This wisdom is generally divided into two parallel, identical orders, like two drops in a pond. The only difference between them is that... ...e two drops in a pond. The only difference between them is that the first order extends from Above downwards, to this world, and the second order tr... ... imprinted at the root when they appeared from Above downwards. The first order is called “the order of descent of the worlds, Partzufim, and Sefiro... ...e terms of the wisdom than all our ordinary tongues. It is known from the theory of nominalism that the languages have been 27 Th e e s s e n C e o... ...nd forbidden us to not only refrain from drawing any conclusions based on theory, but even prohibited us from being assisted by such theories, even ... ...returned to the previous Dvekut with his Essence. However, all this is in theory. In fact, they have not answered anything with the explanation of c... ...iffiCUl TiES in dETErmining ThE Tr UTh When we discuss good attributes, in theory, there is certainly no better attribute than the attribute of truth...

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...s to their colleagues or to treat them bestially in simulated prisons. They obeyed orders. So did all the hideous genocidal criminals in history. T... ...across a peaceful Utopia. Its members are immortal, don't have to work, or think in order to survive. Sophisticated machines take care of all their ... ...possible where the laws of nature are different. This is the same tired regularity theory in a more exotic guise. They are all descendants of Hume'... ...rld. It mainly arises when we introduce intentional action and perception into the theory of causation. Let us revert to the much- maligned owner of... ... his precious place to women and children? Should not he have obeyed the captain's orders (=the marine law)? Should we succumb to laws that put our... ... property, planning, wealth and capital. Mental inequalities lead to innovation and theory. Knowledge differentials are at the heart of educational ... ... through inaction, allow a human being to come to harm. 2. A robot must obey the orders given it by human beings, except where such orders would ... ...ess assuredly so), drive him to the cliff (maybe so), help him get into his car in order to drive him to the cliff... Where do the responsibility a... ...d logic): computability or recursive functions (later to be developed into Automata Theory). The authors confined themselves to dealing with comput...

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...xpressed." Put in anotht'r way, this primary distinotion between the two orders in which men live concerns on the one hand the meaning of oommunity... ...nstituted where two persons meet. Applying this, x thought to the modem theory of history as a process within an unbroken causal system, where fac... ...tree. There is nothing from whioh I would. ha.ve to turn my eyes away in order to see, and.no 1mowledge that I would have to forget. Ra.ther is eve... ... Of course, this happens in a "primitive" form and not in the form of a " theory of knowledge". But whenever the sentence :' I see the tree" is so ... ...rt of the basic truth of the human world, that only It can be arranged in order. Only 30 when things. from being our Thou, become our Ie, can the... ..., without which this would be a useless fragment-namely, a world that is ordered is not the world-order. There are moments of silent depth in which... ...order. There are moments of silent depth in which you look on the world -order fully present. Then in its very :flight the note will be heard; but ...

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........................................................358 207. Receiving In Order to Bestow ..................................................359 208. ... ...ly, he is sent thoughts and views, which are against the work. This is in order for him to see that he is not one with the Lord. And as much as he o... ...mmitted it. But here too we should place the pain and sorrow in the right order: where does he place the cause of the sin, for that is the point tha... ...Creator, but the will to receive pleasure should be corrected to being in order to bestow. That is to say, the pleasure and joy, which the will to re... ...r Light is within the will to receive. This Tikkun is deemed receiving in order to bestow. Meanwhile, the will to receive is filled with ignoble and ... ...i Ashlag (The Rabash), Rav Michael Laitman, Professor of Ontology and the Theory of Knowledge, PhD in Philosophy and Kabbalah, and MSc in Medical Bi...