Description Details
...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...

Full Text Search Details
...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... ... 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... ...we assume the reader may try many analogous results. Just for the sake of completeness we recall the definition of Smarandache loops of level II and ...

Table of Contents Details
... 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...

Full Text Search Details
..........................................................................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... ... 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 ... ...efore refer. So much however was necessary to be, said here in order to demonstrate the completeness of the analogy between the method of this book,... ...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... ...f man; not as the Word, but as the Word made flesh; and are descriptive of the perfect completeness of the man, taken into eternal union with the se... ...gression and fulness of his dignity and office. And from which will appear not only the completeness, but the unfolding of the completeness of his pe...

Full Text Search Details
...lam explains it in the following way: “There are two ways to discover the completeness: the path of Torah and the path of suffering. Hence, the Crea... ... and animate, the specific acts for the good of the general and finds its completeness in that. Without such harmonious activity, existence would no... ...itual growth, the quality of giving develops in us. So what do we need in order to commence the process? We need examples—spiritual teachers. This i... ...n. We continue to show them examples of a slightly more advanced state in order to develop them. Thus, we gradually bring them to more evolved stat... ...eneration, the authors of The Zohar, who were granted all 125 degrees in completeness, even though it was prior to the days of the Messiah. It was ... ...lan of development. Let us review what we have said before to restore some order. Reality consists of three elements: the light, the power of love a... ...aLevi Ashlag (The Rabash), Michael Laitman, Professor of ontology and the Theory of Knowledge, PhD in Philosophy and Kabbalah, and MSc in Medical Bi...

Full Text Search Details
........................................................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... ...l Tikkun (correction) is that the Upper Light will shine in them in utter completeness. The Light that shines in the Kelim is named Shochen, and the... ... of the Kelim are named Shechina. Before the Light shines in them in utter completeness, we name that time, “A Time of Corrections.” This means that ... ...is means that we make corrections so that the Light will shine in them in completeness. Until then, that state is called “Divinity in Exile.” It mea... ...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...

Full Text Search Details
...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 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 ... ...generation, the authors of The Zohar, who were granted all 125 degrees in completeness, even though it was prior to the days of the Messiah. It was ... ...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... ...ing that follows it. It is certain that it receives this pleasantness and completeness from His Essence, which wishes to grant it every pleasantness... ...ll had already calculated the cycle of this Guidance, which ends in utter completeness. And these measures are what we interpret as Sefirot and worl...

Full Text Search Details
...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 ... ...ntric, Czech- Austrian mathematical logician, Kurt Gödel (1906-1978) dealt with the completeness and consistency of logical systems. A passing acqua...

Full Text Search Details
...ng the authors of The Book of Zohar. They were awarded all 125 degrees in completeness, even though they lived prior to the days of the Messiah. Hen... ... into our world and incarnates in the patriarchs of Kabbalah. This is the order of its appearance: Abraham, Moses, Rabbi Shimon Bar-Yochai, the ARI ... ...is is because our desires surface in our mind and sensations in a gradual order, in a certain sequence, so we may acknowledge and correct them. 4 2... ...art, Kabbalah—to help man acquire the desires of the spiritual worlds. In order to create man in remoteness to Himself, so that man would realize hi... ...eation to the end of their correction emerged before the Creator in their completeness and reside in the Supernal Garden of Eden. From there they de... ... with which he complements his soul. Without them, the soul cannot attain completeness and perfection. I think that the reader already understands th... ... Ashlag (The Rabash), Rav Michael Laitman, Professor of Ontology and the Theory of Knowledge, PhD in Philosophy and Kabbalah, and MSc in Medical Bi...

Full Text Search Details
...s essential to know the basic laws of physics, chem- istry, and biology in order to lead a normal life, it is es- sential to know the wisdom of Kabbal... ... issues. suddenly, we will understand that this chase was prear- ranged in order to distract our minds from what is most important. as long as we clo... ...aken, request, and even de- mand it from the system. A Request to Achieve Completeness 5 4 W ho can explain how an infant grows into an adult? Why ... ...se the spiritual world through it. there is only one thing that we lack in order to reveal our souls, to feel that even now we are in the world of Ei... ...aLevi Ashlag (The Rabash), Michael Laitman, Professor of Ontology and the Theory of Knowledge, PhD in Philosophy and Kabbalah, and MSc in Medical Bi... .....................................................52 a request to achieve completeness .................................53 From evolution’s steam en...

Full Text Search Details
..., that and the other. So many holy men visited my house—the Ramakrishna Order and the others; you name it, and those fellows had somehow visited t... ... taken over by this gland: it is this gland that gives the instructions or orders to the body; not thought any more; thought cannot interfere. (That ... ...method or a system, a technique or a new way of thinking to be applied in order to bring about a transformation in your way of life. What I am sayin... ...he culture has limited the possibility of the potential evolving into its completeness and wholeness. Somewhere along the line possibly thought wa... ...e genetically controlled. Naturally, you will say that that statement is a theory. You have a hope that you can do something. There are many people i...

Full Text Search Details
...ough. Then, when Moses fled from Egypt, he had to unite a whole nation in order to succeed. Today, we need to unite the whole of human- - ity. Egois... ..., the authors of The Book of Zohar. They were awarded all 125 degrees in completeness, even though they lived prior to the days of the Messiah.” Th... ...receives without think - - ing about it, but in Phase Three it receives in order to please the Creator. 54 K abbalah for b eg Inners - p art ... ... with our broken spiritual spectacles, the picture is less than ideal. In order for Creation, who is completely opposite from the Cre- - ator, to be... ...hlag (The Rabash), Rav Mi- - chael Laitman, Professor of o ntology and the Theory of Knowledge, PhD in Philosophy and Kabbalah, and MSc in Medical B...

Description Details
...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 modeled we use f...

Full Text Search Details
... HEXIS Church Rock 2004 2 This book can be ordered in a paper bound reprint from: Books on Demand ProQ... ...eutrosophic Vector spaces 8 Chapter Two SOME BASIC RESULTS ON GRAPH THEORY AND THEIR APPLICATION TO FUZZY MODELS 2.1 Some basics on Gr... ...ophic algebraic structures is very recent. The introduction of neutrosophic theory has put forth a significant concept by giving representation to i... ...n almost all real-world problems. When uncertainty is modeled we use fuzzy theory and when indeterminacy is involved we use neutrosophic theory. Mo... ... father of graph theory. In 1847 Kirchoff developed the theory of trees, in order to solve the system of simultaneous linear equations, which give t... ...y to consider every cycle in the graph of an electric network separately in order to solve the system of equations. T G N FIGURE: 2A 14 Inste... ...loiting these properties can be had from [3, 25, 58]. Just for the sake of completeness we recall the notions of perfect matchings and the Tutte ma... ...used. For more about these please refer [32-4, 64-6]. Just for the sake of completeness we at each stage illustrate each of these by giving a brief...

Excerpt Details
...roduced in the year 2002. The concept of bialgebraic structures which we define and study are slightly different from the bistructures using category theory of Girard's classical linear logic. We do not approach the bialgebraic structures using category theory or linear logic....

Full Text Search Details
... American Research Press Rehoboth 2003 2 This book can be ordered in a paper bound reprint from: Books on Demand ProQuest ... ...ine and study are slightly different from the bistructures using category theory of Girard's classical linear logic. We do not approach the bialgebr... ...inear logic. We do not approach the bialgebraic structures using category theory or linear logic. We can broadly classify the study under four he... ...ules and having my family working along with me late hours every night in order to complete this – but then, I have had a rare kind of intellectual ... ...initions of groups, loops and Smarandache loops (S-loops) for the sake of completeness and also for our notational convenience, as we would be using... ... group G has only a finite number of elements we call G a group of finite order otherwise G is said to be of infinite order. If a b ≠ b a, for at... ... o(G), then G has an element of order p. For more results about group theory please refer [23 & 27]. Now we proceed on to recall some basic conc... ...llowing definition. Just we recall the definition of BIBD for the sake of completeness. DEFINITION 8.3.37: A balanced incomplete block design (BI...

Description Details
...roup and a semigroup simultaneously. This book is a piece of work on Smarandache semigroups and assumes the reader to have a good background on group theory; we give some recollection about groups and some of its properties just for quick reference....

Full Text Search Details
... American Research Press Rehoboth 2002 2 This book can be ordered in a paper bound reprint from: Books on Demand Pro... ...liminary results 14 2.4 Subgroups 15 3. Some Classical Theorems in Group Theory 3.1 Lagrange's Theorem 21 3.2 Cauchy's Theorems 22 3.3 ... ...marandache semigroups and assumes the reader to have a good background on group theory; we give some recollection about groups and some of its proper... ...e used in this book. Chapters 2 and 3 gives most of the basic concepts on group theory and results in group theory which have been used in this text... ...otions in groups or Smarandache semigroups. This text does not in any way claim completeness in giving the properties of groups. Chapter 4 starts ... ...bset M of S × T such that for every s ∈ S there is a unique t ∈ T such that the ordered pair (s, t) is in M. This definition serves to make the ... ... illustrations. PROBLEM 1: Given an example of a Smarandache semigroup of order 42. PROBLEM 2: Find all subgroups in the Smarandache semigro...

Full Text Search Details
...ower set P(X) where X = {a, b, c} which is a finite Smarandache semiring of order 16. This book can be ordered in a paper bound reprint from: ... ...o the Smarandache semirings, semifields and semivector spaces. Secondly, in order to make an organized study possible, we have also included all the ... ...migroup S is finite we say S is a finite semigroup or a semigroup of finite order, otherwise S is of infinite order. If the semigroup S contains an ... ... to prove the result). Supplementary Reading 1. Birkhoff, G. Lattice Theory. American Mathematical Society, Providence, R.I., 1967. 2. Bi... ...n Applied Algebra. Mc-Graw Hill, New York, 1970. 3. Gratzer, G. Lattice Theory. Freeman, San Francisco, 1971. 4. Hall, Marshall. Theory of Gr... ..., 1975. 6. Lang, S. Algebra. Addison-Wesley, 1967. 7. Nagata, M. Field Theory. Marcel Dekker, NewYork-Basel, 1977. 8. Passman, D.S. Infinite ... ...rties about it, analogous to rings. This chapter also gives for the sake of completeness the definition of several types of special semirings like ∗-...

Full Text Search Details
... 2004 Xiquan 2 This book can be ordered in a paper bound reprint from: Books on Demand ProQuest Inf... ...lled science. In politics, Chinese prefer a natural discipline, a natural order in the society. This means that everyone is educated, starting durin... ...itely reach the change of destiny? The natural discipline, or the natural order (natural law), the natural way of the universe is actually the same ... ... he may be doing something philosophism. Although he claimed to base his theory on the summarization of all the logic schools of the West, he might... ...rn from the West? On the contrary, Chinese classic culture based all its theory on the unification of man and heaven (the universe), i.e., on the u... ...battle, and neutrosophy is the science of this stratagem and tactic. The theory of relativity, as a most eminent science, is based on the speed cons... ...concepts, logic and knowledge are not exact in nature, but we are seeking completeness without vagueness. Although science is born from intangible im... ...alism and idealism as in antagonism only. And therefore he falls short of completeness. In fact, the antagonism is out of human’s vikalpa [I underst... ...mplementations and applications, in contrast to the absolute accuracy and completeness in conventional mathematization. How can we measure un-intenti...

Full Text Search Details
...edu HEXIS Church Rock 2004 2 This book can be ordered in a paper bound reprint from: Books on Demand ... ...S patients 211 Chapter Three SOME NEW AND BASIC DEFINITIONS ON NEUTROSOPHIC THEORY 3.1 Neutrosophic sets and neutrosophic logic 222 3.2 Fuzzy... ...nalysis of Social Aspects of Migrant Labourers Living With HIV/AIDS Using Fuzzy Theory and Neutrosophic Cognitive Maps: With Specific Reference to R... ...lations like, fuzzy equivalence relation, fuzzy compatibility relations, fuzzy ordering relations, fuzzy morphisms and sup-i-compositions of fuzzy ... ...p i ° Q = r i we need only methods for solving equations of the later form in order to arrive at a solution. We may therefore restrict our further... ... of the natural evolution of genetics. GAs emulate the biological evolutionary theory to solve optimization problems. In general, 50 GAs start... ... and a ∨ b = b for a ≤ b. The existence of least upper bound is assured by the completeness. Here a fuzzy set is defined as a mapping from a nonemp...

Full Text Search Details
... maybe that was just his own life. The transparencies of most humans were in order--the last of which would be old age and decay but what was written ... ...f his being. His sister had been raped and mutilated. At least that was the theory-as much as one could assess from skeletal remains. The prosecution... ...celled his classes. Then, near the bus terminal, he went to a restaurant. He ordered some bogum bop, a thick mixture of rice and vegetables that one m... ...it into life to shrink its size into something so much smaller than a cat in order to be at all. She did not know why it happened. She just did not k... ...e very universe she resided in and as pessimistic as Hobbes' social contract theory (although to her who often liked dressing up in black, black was n... ...she could it would be just one more empty fact. And yet now it was an empty theory. Sometimes it struck her how this dance with ideas was like awake... ...sweep away. Marriage was reality. It was the psychological and physiological completeness of two people, and as such there was a necessity for comprom...

Full Text Search Details
...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... ...e and consequence, as good that comes after the bad. This brings us closer to completeness and eternity. We begin to look at things as opposite side... ... creature consists of two parts: The first is a descent, an estrangement from completeness, from the Creator. It is the lowest pos- sible state, whic... ... entering and remaining in the Upper World in a state of calm- ness, eternity, completeness, and peace. That spiritual degree (at the end of correctio... ... 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...

Full Text Search Details
...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... ... Guest:Why is it all built like that? Host: For the purpose of bringing you to completeness. So that you will want each thing in totality and will att... ...mate, organic, animate and speaking. The aspect of inanimate nature represents completeness. The sense of perfection originates in the Surrounding Lig... ... 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... ...imary work—which is mainly in advancing along the right line—with a feeling of completeness. The individual is happy even with a small connection that... ...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 ...

Full Text Search Details
...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... ...rtments of this life, economics and State, with their present extent' and completeness of structure, be con­ ceived to rest on any other basis but th... ...ide worked into a part of causality, and not impairing its contin~ty and completeness. The unlimited reign of causality in the world of It. of fun...

Full Text Search Details
...erfection. But first, humanity must go through all the opposite situations in order to realize that, indeed, only the Creator is complete. Culture a... ...aturally feel (to that extent) the influence of the Creator as incomplete. In order to prevent us from sinning (by accusing and cursing the Creator)... ...cost us so heavily, meaning the multitude of pain that we suffer for them, in order to complete them, who is it who enjoys it, or better phrased, wh... ...ar to others that you are suffering unbearable pain, but you can feel instead completeness and delight if you create a spiritual contact with the Cr... ...able to feel the exact opposite: you will experience achievement, perfection, completeness and light. T H E K A B B A L A H E X P E R I E N C E 60 T... ...els of nature – still, vegetative, animate and speaking. Q: Is Kabbalah just a theory, or has it been tested in practice? A: It is not a theory. With ... ...ult. A: When we read the books of Kabbalah, we accumulate its wis- dom only in theory. We believe that this way we accumulate knowledge and experienc... ...E E G O I S M Q: Through a continuous spiritual quest, I have comprised a new theory about Kabbalah. It is The Theory of Shapes. It has an immense s... ... and the Creator. It is the way of justice, which brings with it pleasure and completeness. N E W S O U L S Q: Are we new souls? A: Baal HaSulam writ...

Description Details
...This book has four chapters. Chapter one is introductory in nature. The reader is expected to have a good background of algebra and graph theory in order to derive maximum understanding of this research. The second chapter represents groups as graphs. The main feature of this chapter is that it contains 93 examples with diagrams and 18 theorems. In chapter thre...

Description Details
...In this book, we study the subject of Smarandache Fuzzy Algebra. Originally, the revolutionary theory of Smarandache notions was born as a paradoxist movement that challenged the status quo of existing mathematics. The genesis of Smarandache Notions, a field founded by Florentine Smarandache, is alike to that of Fuzzy ...

Full Text Search Details
...is book, which is an amalgamation of alternatives. This book can be ordered in a paper bound reprint from: Books on Demand ProQuest ... .... In its trajectory of stupendous growth, it has also come to include the theory of fuzzy algebra and for the past five decades, several researchers... ...y the subject of Smarandache Fuzzy Algebra. Originally, the revolutionary theory of Smarandache notions was born as a paradoxist movement that chall... ...ns, a field founded by Florentine Smarandache, is alike to that of Fuzzy Theory: both the fields imperatively questioned the dogmas of classical ma... ... x t G µ = t x G µ for every x ∈ G and t ∈ [0, 1]. We now define the order of the fuzzy subgroup µ of a group G. DEFINITION 1.2.7: Let µ be a... ... a fuzzy subgroup of a group G and H = {x ∈ G/ µ (x) = µ (e)} then o(µ ), order of µ is defined as o(µ ) = o(H). 13 THEOREM 1.2.6: Any subgroup ... ...field is defined for the first time in this book. We just for the sake of completeness recall the definition of bifields. DEFINITION 1.6.2: A bir... ...y absent. This concept is defined only in this book. Just for the sake of completeness we start to give the definition of fuzzy semirings and proceed... ...andache primary fuzzy subsemigroup of a S- semigroup G. We for the sake of completeness recall some of the definitions. DEFINITION [ 14]: Let A be ...

Description Details
...uch real world problems and they happen to be mathematical tools which can give the hidden pattern of the problem under investigation. This book, in order to generalize the two models, has systematically invented mathematical tools like bimatrices, trimatrices, n-matrices, bigraphs, trigraphs and n-graphs and describe some of its properties. These concepts are also exten...

Full Text Search Details
...nthenral@gmail.com HEXIS Phoenix, Arizona 2005 2 This book can be ordered in a paper bound reprint from: Books ... ...an give the hidden pattern of the problem under investigation. This book, in order to generalize the two models, has systematically invented mathem... ...atrix A = A 1 ∪ A 2 both A 1 and A 2 are square matrices but of different order say A 1 is a n × n matrix and A 2 a s × s matrix then we call ... ...in [154, 155]. Here we only recall just the definition merely for the sake of completeness. 3. Kirchhoff bimatrix will always to be a square or a m... ...bigraph will prove a major role in the applications of bimodels both in fuzzy theory and neutrosophic theory. Finally we give the matrix represen... ...that gives the hidden pattern of the situation. As we have a very well known theory, which states that the strength of the data 76 depends on, th... ... 3.2 Fuzzy Cognitive Bimaps and their Applications Just for the sake of completeness we have given the basic concepts of FCM in the earlier se... ...ps will also be directed neutrosophic graphs. It is no coincidence that graph theory has been independently discovered many times since it may quite...

Description Details
...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 important and innovative properties about S-rings. Writi...

Full Text Search Details
...resentation of S-ideal need not in general be modular. This book can be ordered in a paper bound reprint from: Books on Demand ProQuest ... ...ine.com Peer reviewers: Ion Goian, Department of Algebra and Number Theory, University of Kishinev, Moldova. Sebastian Martin Ruiz, Avda. De ... ...I have been immersed in research in Algebra and more particularly in ring theory. I embarked on writing this book on Smarandache rings (S- rings) spe... ...etter if we thrust importance on results given in research papers on ring theory rather than detail the basic properties or classical results that t... ...alled a finite group, otherwise it is termed as an infinite group. By the order of a finite group we mean the number of elements in the group. ... ...s a group under multiplication modulo p. This is a finite cyclic group of order p-1. DEFINITION 1.1.2: Let G be a group. If a . b = b . a for all... ...itor group. Proof: Follows by the definition. Just for the sake of completeness we give the definition of semiring as it used to define semio...

Excerpt Details
...nly geometry together with the purport of physical laws can do so... The idea of the measuring rod and the idea of the clock contained with it in the theory of relativity do not find their exact correspondence in the real world. It is also clear that the solid body and the clock do not in the conceptual edifice of physics play the part of irreducible elements, but that of ...

Full Text Search Details
...Smarandache Pima Community College, East Campus 2 This book can be ordered in a paper bound reprint from: Books on Demand ProQues... ...dea of the measuring rod and the idea of the clock contained with it in the theory of relativity do not find their exact correspondence in the real ... ...on of Einstein's as reported by Rosser, p.398:[3] 7 The theory of relativity is often criticized for giving, without justificati... ...of propagation of light. The situation is, however, somewhat as follows. In order to give physical significance to the concept of time, processes of... ...chooses for such a definition of time. It is advantageous, however, for the theory to choose only those processes concerning which we know something... ... the light wave vibration; - if one uses the entanglement phenomenon, in order to transfer the polarization between two photons, then: whatever h... ...erved, the language of the description must be continually altered. Godel's completeness theorem plainly states that a fixed language can only descr... ...lar state, this state is called a metric state. Godel's consistency and completeness theorems - A mathematical theory which says that there are ...

Description Details
...This book contains short notes or articles, as well as studies on several topics of Geometry and Number theory. The material is divided into ve chapters: Geometric theorems; Diophantine equations; Arithmetic functions; Divisibility properties of numbers and functions; and Some irrationality results. Chapter 1 deals essentially ...

Full Text Search Details
... American Research Press Rehoboth 2002 This book can be ordered in microfilm format from: Books on Demand ... ...s or articles, as well as studies on several topics of Geometry and Number theory. The material is divided into ve chapters: Geometric the- orems; Di... .... . . . . . . . . . . . . 241 8 On certain new conjectures in prime number theory . . . . . . . . . . . . . 243 9 On certain conjectures by Russo . . ... ...ve made it clear that there exists a very intimate correlation between the Theory of numbers and other departments of Mathematics, not excluding geome... ... 1 (4) 16 We shall use in what follows this relation, but for the sake of completeness, we give a sketch of proof: it is known that m a l a p(p ... ...ying (xy 4)(z +t) 2 8(x +y)(z +t) (xy + 4)(x +y) 2 0 (4) This second order inequality gives at once z +t 4(x +y) + p 16(x +y) 2 + (x +y) 2 (xy ... ...n positive integers occurs many times for particular values of a;b;c;d. In order to obtain all solutions of (1), remark that (1) can be written as bdx... ...known inequality d(n) 2 p n (3) (see W. Sierpinski [12]). For the sake of completeness, we give the short proof of (3). If d is a divisor of n, the s...

Full Text Search Details
...American Research Press Rehoboth 2002 3 This book can be ordered in microfilm format from: Bell and Howell Co. (University o... ... The author of this paper is convinced that the Platonic theory of ″reminiscence″ is not a mere speculation, and the meaning of the... ...e ancient thought″: <The rational is moral, since by its essence it is an order (cosmos), while the moral is rational, since the good is but the exp... ...r optimistic- poised approaches. Related to the novel character of a new theory, the physicist Niels Bohr said: <For a theory to be true, it shoul... ...″internal perfection and external confirmation″ should be selected>. This theory assumes scientific responsibility for its assertions and tries to fu... ...cal situations presented above) within the same system of co-ordinates, in order to compare the results. The geometrical drawing above is indica... ...n; and if it fails to totally fulfill the minimality condition or that of completeness, it is certainly non-contradictory, representing the inner pe... ...cit axiomatic systems characterized by non- contradiction, minimality and completeness. Other discipline contain, or should contain assertional sys...

Full Text Search Details
...ormula to them altogether. One such attempt is to define health as "an increase in order or efficiency of processes" as contrasted with illness wh... ...der or efficiency of processes" as contrasted with illness which is "a decrease in order (=increase of entropy) and in the efficiency of processes"... ... of implicit value-judgements. For instance, why should we prefer life over death? Order to entropy? Efficiency to inefficiency? Health and sicknes... ...it unacceptable if the experiments meet the criteria of the scientific method. The theory must be all-inclusive (anamnetic), consistent, falsifiabl... ...oven that Turing Machines are a private instance of a general, much stronger, class theory (a-la Principia Mathematica). The integration of hardware... ...revealing, insightful, aesthetic, and parsimonious - in short, it must constitute a theory and produce falsifiable predictions. A metaphor is also s... ...es, and will put their lives in danger – just to reach this bliss of wholeness and completeness. There is, in other words, a preference of inner eq...

Full Text Search Details
...eries, Table Del- icacies, Etc. Fancy Crackers and Everything for Lunches. Orders taken for Cut P'lowcri Nextdoor to post office Spring Str««t COLLEGE... ... Sovernl nieii rushed at Lang, nnd the crowd followed on to the floor, hut order was soon restored by the upporclasHmen |)resent. Lnng was then ruled ... ...e P.HH) siiuad to hand in their schedules to liini lieforo Wednes- day, in order that delinite plans iniiy be miule for practice. Central New York Alu... ...cles there is a har- vest of work for those v.ho carry into practice their theory that Williamstown can be beautified. The nest issue of The Record wi... ...ss. SEPT, 30, 1907 —Reoord oandidates meet in 8 J. H. tonight at 7.30. The Theory of Grievance Against Customs Abolition By the widely varying view po... ...ognition as a college interest. If only as an element of dis- proof to the theory maintained by some that intercollegiate interest in basketball is dy... ...ual development. But this feature could not be demanded with any degree of completeness in a schedule which aims to be as complete as loossibleand yet... ...the riglit to that distinction, and partly as an addition necessary to the completeness of the system. If the recent canvass means anything we ought t... ...ed. The supporters of the anti-athletic policy have had "their innings" to completeness, and the cumulation of charges heaped against athletic interes...

Full Text Search Details
...edu HEXIS Church Rock 2004 2 This book can be ordered in a paper bound reprint from: Books on Demand ... ...S patients 211 Chapter Three SOME NEW AND BASIC DEFINITIONS ON NEUTROSOPHIC THEORY 3.1 Neutrosophic sets and neutrosophic logic 222 3.2 Fuzzy... ...nalysis of Social Aspects of Migrant Labourers Living With HIV/AIDS Using Fuzzy Theory and Neutrosophic Cognitive Maps: With Specific Reference to R... ...lations like, fuzzy equivalence relation, fuzzy compatibility relations, fuzzy ordering relations, fuzzy morphisms and sup-i-compositions of fuzzy ... ...p i ° Q = r i we need only methods for solving equations of the later form in order to arrive at a solution. We may therefore restrict our further... ... of the natural evolution of genetics. GAs emulate the biological evolutionary theory to solve optimization problems. In general, 50 GAs start... ... and a ∨ b = b for a ≤ b. The existence of least upper bound is assured by the completeness. Here a fuzzy set is defined as a mapping from a nonemp...

Description Details
...n 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”. It was an inspired connection he made between literature/arts and science, philosophy....

Full Text Search Details
...thus opening new ways of research in four fields: philosophy, logics, set theory, and probability/statistics. It was known to me his setting up in 1... ...“paradoxism”, because I received some books and papers dealing with it in order to review them for the German journal “Zentralblatt f ár Mathematik”... ...so, to experiment." 2.2. Etymology: Paradoxism = paradox+ism, means the theory and school of using paradoxes in literary, artistic, philosophical... ... with different ideational spectra. Neutrosophy considers a proposition, theory, event, concept, or entity, "A" in relation to its opposite, "Anti- ... ...unctured neighborhoods (balls) of c. Of course, – a < a and b + > b. No order between – c + and c. Addition of non-standard finite numbers with ... ...ut-A>, and <Anti-A> are disjoint two by two. <Non-A> is the completeness of <A> with respect to the universal set. ... ...er. c) Law of Complementarity: <A> feels like completing with <Non-A> in order to form a whole. Examples: Persons, who are different, ...

Description Details
...rt articles are preferable. All that has been accepted for the online issue of Progress in Physics is printed in the paper version of the journal. To order printed issues, contact Chief Editor. This journal is non-commercial, academic edition. It is printed from private donations....

Full Text Search Details
...lectronic version of this journal: http://www.geocities.com/ptep_online To order printed issues of this journal, con- tact the Editor in Chief. Chief ... .... . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 D. Rabounski A Theory of Gravity Like Electrodynamics. . . . . . . . . . . . . . . . . . .... ...sova Gravitational Waves and Gravitational Inertial Waves in the Gen- eral Theory of Relativity: A Theory and Experiments. . . . . . . . . . . . . . .... ...i, L. Borissova, F. Smarandache Quantum Causality Threshold in the General Theory of Relativity. . . . . . . . . . . . . . . . . . . . . . . . . . . .... ... of Progress in Physics is printed in the paper version of the journal. To order printed issues, contact Chief Editor. This journal is non-commercial,... ...arth’s surface near the equator the value isΛ 2.8 × 10 −20 μ, so it is in order of 10 42 less than in atoms. Therefore, because the Lagrangian of a s... ...esent Situation in Quantum Mechanics. He turns to EPR paradox and analyses completeness of the description by the wave function for the entangled part...

Full Text Search Details
... Xiquan (second printed edition) 2002 This book can be ordered in microfilm format from: Books on Demand ProQuest I... ...n punctured neighborhoods (balls) of c. Of course, – a < a and b + > b. No order between – c + and c. Addition of non-standard finite numbers ... ... and instability of stable systems. Let's note by <A> an idea, or proposition, theory, event, concept, entity, by <Non-A> what is not <A>, and by <A... ... to measure the truth, indeterminacy, and falsehood. My hypothesis is that no theory is exempted from paradoxes, because of the language imprecisio... ...rsively (Dubois, Prade), changing/adjusting the definitions after each step in order to improve the next result. This might be comparable to approxi... ...eria and the complementarity of various sources. For example, the Possibility Theory (Zadeh 1978, Dubois, Prade) gives a better approach than the F... ...mes an instinct. It is even severe that we develop a fallacy instinct. 5. Completeness and incompleteness: knowledge and practice There alway... ...incompleteness: knowledge and practice There always is contradiction between completeness and incompleteness of knowledge. In various papers prese... ...is Tractatus Logicus Philosophicus), because we can incompletely represent its completeness... As Wittgenstein himself (but not most of his follower...

Full Text Search Details
...ight to go on using the mother's body, or resources, or to burden her in any way in order to sustain its own life (see IC below). IC. The Right to ... ...life. One has the right to take certain actions or avoid taking certain actions in order to save his or her own life. It is generally accepted that... ...anctity of Human Life" by Baruch A. Brody). One form of calculus is the utilitarian theory. It calls for the maximization of utility (life, happines... ...es. Despite strong philosophical objections to some of the premises of utilitarian theory - I agree with its practical prescriptions. In this cont... ... provision contract. She provides him with goods and services that he requires in order to materialize his potential. It sounds very much like man... ...or falsified. Attaining an achievement involves the construction of an ad-hoc mini theory. Reality has to be thoroughly surveyed, models constructe... ...es, and will put their lives in danger – just to reach this bliss of wholeness and completeness. There is, in other words, a preference of inner eq... ...ntric, Czech- Austrian mathematical logician, Kurt Gödel (1906-1978) dealt with the completeness and consistency of logical systems. A passing acqua...

Full Text Search Details
...ight to go on using the mother's body, or resources, or to burden her in any way in order to sustain its own life (see IC below). IC. The Right to ... ...life. One has the right to take certain actions or avoid taking certain actions in order to save his or her own life. It is generally accepted that... ...anctity of Human Life" by Baruch A. Brody). One form of calculus is the utilitarian theory. It calls for the maximization of utility (life, happines... ...es. Despite strong philosophical objections to some of the premises of utilitarian theory - I agree with its practical prescriptions. In this cont... ... provision contract. She provides him with goods and services that he requires in order to materialize his potential. It sounds very much like man... ...or falsified. Attaining an achievement involves the construction of an ad-hoc mini theory. Reality has to be thoroughly surveyed, models constructe... ...es, and will put their lives in danger – just to reach this bliss of wholeness and completeness. There is, in other words, a preference of inner eq... ...ntric, Czech- Austrian mathematical logician, Kurt Gödel (1906-1978) dealt with the completeness and consistency of logical systems. A passing acqua...

Full Text Search Details
... Kubla Khan suppresses an insurrection -- Defeats a body of 500,000 cavalry -- Orders the execution of the leader by tossing him in a carpet -- The ha... ...als to the religious fervor of his soldiers -- An overture for peace -- Cortez orders the hands of the ambassadors cut off -- His triumphal entrance i... ...c defence by the Governor.......................................... 298 Morgan ordering his prisoners to scale the walls of Puerto Bello........ 299 B... ...hers and geographers taught the sphericity of the earth, yet a belief in their theory never obtained a substantial footing, and up to the Middle Ages ... ...ly. And if this presumption be reasonable we must admit the correctness of the theory that they were the result of the reëstablishment of those suppos... ... John, one of the wisest of Portugal's rulers, had manifested his faith in the theory that Africa was a peninsula the point of which might be doubled,... ...in and Tortuga was put in a condition of defense with a professional skill and completeness that made all previous attempts at fortification trifles b...

Full Text Search Details
...d L. Popescu American Research Press Rehoboth 2002 3 This book can be ordered in microfilm format from: Bell and Howell Co. (University o... ...arger family of mind comprising the whole of the artistic modernism, in a theory of creation that could explain the fields of activity. For this rea... ...ear enough to make myself understood thoroughly. I have taken this risk in order not to deceive those who, acquainted with this field, have the abili... ...n this way the metalinguistic possibilities of communication. Then, in the theory of the paradoxes, as we can see, we leap in continually from a para... ...of the third part. The classical binomial becomes a trinitarian antinomy (theory appreciated by this other theorist of the paradox, Solomon Marcus: ... ...nd the transformation of the artists in programmers of our phantasms - in order to amplify an art or create a new one, in the sense of an exercise o... ...ken, derived, that has no longer anything in common with the “androgynous” completeness of the former language. Such a kind of enterprise can be a wa... ...lot of things, so the receipt of the totalitarianist beastliness tends to completeness - it’s obvious that much pain he felt and long time he grieved...

Full Text Search Details
...bringing revolution, a sexual revolution, an all-permissive revolution, in order to free consuming man from the lifestyle of former village communitie... ...hich were returned by more than 800 people from the different villages. In order to monitor changes, we used the same questions in the questionnaires ... ... in which they grew up. The people of this book want justice, that a moral order should prevail in their new environment, too.And they still want to d... ...and of the white elephant. In my account, I cannot include a great deal of theory of cultural anthropology or research into Thailand, but the bibliogr... ...d valuable is irrigated land, with water available throughout the year. In theory, it is possible to grow even three rice crops a year in areas covere... ...l Yearbook; www.nso.go.th). Foreword 1. The theory is based on e.g. my Finnish language work Rakennemuutos tulevaisuute... ...the village. Compared to local thinking, belief in development strives for completeness, universal solutions; scientific-technological development is ...

Full Text Search Details
...it - to web content, reference works, etc., embedded instant shopping and ordering links, divergent, user- interactive, decision driven plotlines, in... ...it - to web content, reference works, etc., embedded instant shopping and ordering links, divergent, user-interactive, decision driven plotlines, in... ...ivery phase - is a slow and enervating epilogue to the exciting affair of ordering online. Too many consumers still complain of late delivery of the ... ...of an archive and thus to mine data. Its "reliability layer" verifies the completeness and accuracy of digital repositories. The Internet Archive, a... ...is case be more readily tolerated as a marginal phenomenon. This is the theory. But the facts are tellingly different. The less the cost of product... ...is not the main function of the advertising dollar. Modern economic signal theory has cast advertising in a new and surprising - though by no means c... ...prising - though by no means counterintuitive - light. According to this theory, the role of advertising is to signal to the marketplace the adverti...

Full Text Search Details
... tracking and missile targeting. Or processing conflicting medical images in order to diagnostic diseases, or processing conflicting land images fro... ...rged in parallel with the development of computer science and technology in order to combine many types of information (fuzzy, uncertain, imprecise... ...n expertise, sensor measurements, AI expert systems, neural network, quantum theory, economics predictions). One such theory, that permits the comb... ...e combination of paradoxist information, has been called Dezert-Smarandache Theory of Plausible and Paradoxical Reasoning for Data Fusion (2002). ... ...roken, derived, that has no longer anything in common with the “androgynous” completeness of the former language. Such a kind of enterprise can be a... ...ous. - There is anarchy in its surface form but still there is some type of order in its spirit. Or in other words there is a method in this madnes... ...en nothing is impossible Except the possibility of everything. Haiku: SET THEORY If the Superset containing ALL sets Cannot be said to include...

Full Text Search Details
...American Research Press Rehoboth 2002 2 This book can be ordered in a paper bound reprint from: Books on Demand ProQuest I... ...of Inference Section 7 Formal Reasoning Section 8 Quantification Theory Section 9 Uses of Logic In Computer Programming 7 13 14 1... ...osophic Connectives in Computer Programs Section 6 Ordering The Elements of Neutrosophic Logic Section 7 Rules Of Inferenc... ...ives are at the same level, absent parentheses, they are evaluated in the order encountered when you move from left to right. Example: Given the ... ...e many other binary connectives that can be defined. Of course, given the completeness of the set CS = { /\, \/, ¬ } all of them can be constructed u... ...o use truth tables to perform the computations. For that we need a formal theory. Definition 1.5.1: A formal theory is a system S constructed from... ...heorem in the system S. Example: The following is a formal axiomatic theory L a) The set of symbols in L are { ¬, →, (, ), T, F, p 1 , p 2 , ...