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...student, I was in awe of how organic cells sustain life, and how each cell is perfectly integrated in the whole body. It is customary to research ce... ... grants. In doing so, we will find that this attitude is actually a source of perfect and unbounded pleasure. 22 FROM CHAOS TO HARMONY Even though t... ... a higher form of existence, supernal, a sensation of Nature’s wholeness and perfection. Now, after numerous generations of evolution, we have accu... ...feel we are all part of Nature’s single, comprehensive system, and taste the perfection and harmony within it. 25 PART ONE From Chaos to Ha... ...of Nature. To have a meaningful, secure, and peaceful life, we must know the perfect method to satisfy the desire to enjoy, the ego. 51 3 ALT... ... elements of the ego and the phases to correct each of them in detail. Using graphs, charts, and calculations, Kabbalah leads the individual throug...

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...bbalah utilizes many mathematical concepts such as matrices, geometry, numbers, graphs, characters and letters, etc. These approaches are codes, sho... ...us to enter the spiritual worlds, acquire the full knowledge, perceive complete perfection, understand the goal of Creation and fully grasp our exis... ...Behinot Afterwards this Light creates a Vessel whose desire to receive pleasure perfectly matches it. The Light fills up the Vessel and pleases it. ... ...rience infinite and everlasting pleasure, not in a selfish way, but rather in a perfect and an absolute way. If the Light enters the Vessel and fills... ...e this can even lead to repulsion. How can pleasure be converted into something perfect and unbounded? A specific scheme has been devised by the Cre... ...re pleasure do I feel myself. This condition produces an eternal existence, the perfection, which is one of the attributes of the Creator. This is e...

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...e Q and r set of nodes in the space R. We can directly find FRMs or directed graphs relating P and Q, FRMs or directed graphs relating Q and R. ... ...ualize. Fuzzy theorist often picture membership functions as two-dimensional graphs with the domain X represented as a one-dimensional axis. The ... ... 22 years old. She had been married at the age of 12 years. This is a picture perfect example of child marriage. She has two children both male. She... ...( NAM ), 65,77 Neutrosophic Cognitive Maps (NCMs ), 65 Neutrosophic directed graphs, 66,67 Neutrosophic dynamical system, 66 Neutrosophic instanta...

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...is involved we use neutrosophic theory. Most of the fuzzy models which deal with the analysis and study of unsupervised data make use of the directed graphs or bipartite graphs. Thus the use of graphs has become inevitable in fuzzy models. The neutrosophic models are fuzzy models that permit the factor of indeterminacy. It also plays a significant role, and utilizes the co...

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...GRAPH THEORY AND THEIR APPLICATION TO FUZZY MODELS 2.1 Some basics on Graphs 18 2.2. More Properties on Graphs 26 2.3 Directed Graphs 32 2... ... 37 2.5 Independent – Sets and matchings 40 2.6 Eulerian and Hamiltonian Graphs 44 2.7 Graph Colorings 52 2.8 Application of Graphs to Fuzzy M... ...Application of Graphs to Fuzzy Models 56 Chapter Three NEUTROSOPHIC GRAPHS AND THEIR APPLICATION TO NEUTROSOPHIC MODELS 3.1. Neutrosophic... ...HEIR APPLICATION TO NEUTROSOPHIC MODELS 3.1. Neutrosophic point / vertex Graphs and its properties 68 3.2. Properties of Neutrosophic graphs 7... ...NITION 2.1.12: A spanning 1-regular subgraph of G is called a 1-factor or a perfect matching of G. DEFINITION 2.1.13: A vertex of degree 0 is know... ...aturates all the vertices of G. For this reason a 1-factor of G is called a perfect matching of G. A two factor of G is a factor of G that is disjoi... ...m [3, 25, 58]. Just for the sake of completeness we recall the notions of perfect matchings and the Tutte matrix. DEFINITION 2.5.9: Let G = (V, ... ... Univ. Press, 1985. 135 19. Golambic, M.C., Algorithmic Graph Theory and Perfect graphs, Academic Press 1980. 20. Goto, K. and T. Yamaguchi. Fuz... ...Pendent edge, 25-6 Pendent neutrosophic vertex, 80-1 Pendent vertex, 25-6 Perfect matching, 25, 41-2 Petersen graph, 54-5, 88-9 Pseudo graphs, 20...

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...sic neutrosophic structures 125 2.3 Some basic notions about neutrosophic graphs 129 2.4 On neutrosophic cognitive maps with examples 134 2.5 Some ... ...), and in order to introduce this concept we have introduced neutrosophic graphs, neutrosophic fields, neutrosophic matrices and neutrosophic vector... ...s most simple and an effective one as it can analyse the data by directed graphs and connection matrices. DEFINITION 1.1.1: An FCM is a directed g... ...es and causal relations between classes. FCMs are fuzzy signed directed graphs with feedback. The directed edge e ij from causal concept C i to ... ...et the combined effect. The Figures 1.2.2 to 1.2.5 correspond to directed graphs of the expert opinion. First expert's opinion in the form of the ... ...s computed using the following equation: S = 1 – AD. In the case of perfectly identical sets where each element χ 1 (v i ) = χ 2 (v i ), the a... ... the two vectors is equal to S = 1 – AD = 1 – 0 = 1 which indicates perfect similarity. The greatest degree of dissimilarity is possible onl... ... where most of the elements have grades of membership between 0 and 1, no perfect similarity, or perfect dissimilarity is expected, but similarity t...

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...nt of the Permutation Sequence has only one two as a factor, none can be a perfect power. There are many distributed computing projects that are curr... ...ements By Squares Since the elements of the Permutation Sequence cannot be perfect powers, we can ask the same question about the elements of the Reve... ...stion: Question: How many elements of the Concatenated Even Sequence are a perfect power? He then conjectured that the answer was no. It is a simple ... ...ided by two leads to a simple theorem concerning whether elements can be a perfect power. Theorem: An element of the Concatenated Even Sequence can be... ...fect power. Theorem: An element of the Concatenated Even Sequence can be a perfect power only when the last number concatenated on the end is divisibl... ...gh there are some differences in the numbers, the general behavior of both graphs for the Concatenated Cube sequence is the same. Since both are incre...

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... 46 - = = 1 0 ) ( ) ( 2 2 ) ( m n m a n a i e m Sg p The following graphs (fig. 2.2 and 2.3) show int(|Sg(m)|) versus m and its average value ... ...me number whose digits sum is prime too (see sequence #11). • Is there any perfect square among the terms of that sequence? A perfect cube? 59 5) Sma... ...? Conjecture: A finite number. • How many terms of that sequence are perfect square? Conjecture: None. • How many terms of that sequence a... ...quence? Conjecture: A finite number. • How many terms in that sequence are perfect cube? • How many terms in that sequence are squarefree? • Evaluate ... ...d(2n) is the number of digits of 2n. • How many terms in that sequence are perfect squares? Conjecture: A finite number. 65 20) Smarandache nkn gener... ... of terms odd, evaluate ) ( ) ( lim - - + ¥ fi N N n • How many terms are perfect square? Conjecture: A finite number. • How many terms are perfect c... ...n calculate the ratio q/n for the first 3000 values, for example, and then graphs this ratio versus n (see fig. 5.4). Smarandache Goldbach conjecture ...

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...Creator is called light. Thus, creation can find, but not fully grasp the perfection of the Creator, because to understand it in the full sense of t... ...te, to complete the spiritual contact with the Creator. To understand the perfection of the Creator means to be perfect, to be in the same spiritual... ...eation was made in such a way that it delights in attaining the spiritual perfection of the Creator, it follows, that perfection and creation – are ... ...the Creator, it follows, that perfection and creation – are not the same. Perfection is the light that delights creation, whereas creation is only t... ...on is only the desire to be delighted. If the Creator represents spiritual perfection, and He wants to create something, then creation must be outsid... ...es emotions in an accurate manner that enables even the use of charts and graphs and formula. We might say that the wisdom of Kabbalah is the engine... ... his vessel of reception for the reaction. That way they built charts and graphs that expressed the dependency between his inner reactions and outer...

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.... Finally, the market acted more on noise than on signal. As we all know, noise it perfectly randomized. Expertise and professionalism mean nothing... ...). The business strategy of the investment banks was viable. It should have worked perfectly had they not committed a primal sin: they have entered... ... increases in efficiency ... implicitly assume that the Internet will make markets perfectly competitive - with homogeneous products and competitio... ...intain their networks? This, at best, is debatable. Frequencies are a commodity in perfect competition - though their price (their "common value") ... ...low end terms. In other words: the shareholder will accept the market's verdict. To perfect this technique, the CURRENT functionaries should also s... ...ents with random numbers and newly - added random numbers. No difference between graphs of random numbers - and graphs of share prices. 21. Inte... ...s with series of random numbers 12. Price series and random numbers yield similar graphs 13. The Linear model P a - P a-1 = ( ED P + ) ´ ( P ... ...idation pattern - if underlying trends continues 23. Arithmetic versus logarithmic graphs 24. Seasaw - non breakthrough penetration of resistance ...

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...re, we use the tools that have been described in Chapter One. Fuzzy Directed Graphs and Neutrosophic Directed Graphs of these Fuzzy and Neutrosophi... ... and Neutrosophic models happen to be very dense. We have represented 16 such graphs in this book. In Chapter Three we give a brief introduction ab... ...od is most simple and an effective one as it can analyse the data by directed graphs and connection matrices and give the hidden pattern of the syst... ...classes and causal relations between classes. FCMs are fuzzy signed directed graphs with feedback. The directed edge e ij from causal concept C i ... ... The notion of Fuzzy Cognitive Maps (FCMs) which are fuzzy signed directed graphs with feedback are discussed and described in section 1.1. The d... ...This cannot be refuted. I do not support or advocate Islam. What I say is the perfect and only truth. I do not have love or affection or faith or an... ...ler than all the cruelties of the world. Periyar, as a social revolutionary, perfectly understood the graveness and ugliness of the caste system. H...

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... Compatibility relations are often conveniently viewed as reflexive undirected graphs contrary to fuzzy cognitive maps that are directed graphs. In... ...ximate reasoning to satisfy relevant conditions. The most useful is that of the perfect recall. Fuzzy inference systems that satisfy the perfect rec... ...and where the set of manifestations which appear when a disorder is present is perfectly known. Thus if m i ∉ M(d j ) it means that m i is not cau... ... degree of the possibility is only 0.88 so we cannot say that the patients are perfectly related but in the previous case i.e., for α =1 the relatio... ...d but in the previous case i.e., for α =1 the relation between the patients are perfect. Similar analysis is carried out for all other patients. H... .... Since all other entries in the matrix W for α =1 are zero so we cannot find a perfect relation between other symptoms. But from the matrix W for α... ...f X × X = X 2 . These relations are often referred to as neutrosophic directed graphs or neutrosophic digraphs. [103] Neutrosophic binary relations... ...I is an indeterminate adjoined in t N – norms. It is not easy to give then the graphs of neutrosophic intersections. Here also we leave the analysi... ...osophic criterion vectors, 261 Neutrosophic digraph, 252 Neutrosophic directed graphs, 252 Neutrosophic equivalence class, 255 Neutrosophic equiva...

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... Compatibility relations are often conveniently viewed as reflexive undirected graphs contrary to fuzzy cognitive maps that are directed graphs. In... ...ximate reasoning to satisfy relevant conditions. The most useful is that of the perfect recall. Fuzzy inference systems that satisfy the perfect rec... ...and where the set of manifestations which appear when a disorder is present is perfectly known. Thus if m i ∉ M(d j ) it means that m i is not cau... ... degree of the possibility is only 0.88 so we cannot say that the patients are perfectly related but in the previous case i.e., for α =1 the relatio... ...d but in the previous case i.e., for α =1 the relation between the patients are perfect. Similar analysis is carried out for all other patients. H... .... Since all other entries in the matrix W for α =1 are zero so we cannot find a perfect relation between other symptoms. But from the matrix W for α... ...f X × X = X 2 . These relations are often referred to as neutrosophic directed graphs or neutrosophic digraphs. [103] Neutrosophic binary relations... ...I is an indeterminate adjoined in t N – norms. It is not easy to give then the graphs of neutrosophic intersections. Here also we leave the analysi... ...osophic criterion vectors, 261 Neutrosophic digraph, 252 Neutrosophic directed graphs, 252 Neutrosophic equivalence class, 255 Neutrosophic equiva...

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...he speed of light, U is the energy in the light beam. [4] Comparative graphs appear in MATH POWER for Nov'03, ISSN 1087-2035; www.ddj.com/Dr.Dob... ...of that binary system is similar to our own G0 Sun so Alpha Centauri is a perfect focus for our first manned and womanned ('manned) interstellar adv... ...o small cosmic particles [ π-mesons] which can be observed and used for a perfectly convincing confirmation of the time dilation and the effect desc...

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...nd common-sense a safer guide vi than abstract logic. It lays no claim to perfection in any of its parts; bearing throughout the inevitable earmar... ...r followed by a distinctive name, and inless such reference is other- wise perfectly clear : the Almighty, Ruler of the universe, the First Cause, ... ...would not be dear that it stands for an omitted part of the matter quoted, perfect clearness in each individual case being the best criterion: "Ar... ... matter set with quotation marks; see above) which is broken up into para- graphs should have the quotation marks repeated at the beginning of each... ...ing a noun should be preceded and followed by a comma: "This harsh, though perfectly logical, conclusion;" "The deceased was a stem and unapproacha... ...nk it worth giving you these details, because it is a vague thing, though a perfectly true thing, to say that it was by his genius that Alexander co...

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...nly in 1998, did the Britannica switch to multimedia and added tables and graphs to the CD. Video and sound were to make their appearance even later.... ...the FBI for offering a decryption software for sale in Russia (where it is perfectly legal). Governments from China to Saudi Arabia filter Web conten... ... There are many variations on the theme, depending on who pays. But it's perfectly feasible to regard the costs of dissemination as part of the cost... ...as separate compressed files. Additionally, the transcription is far from perfect with many an article either truncated or mysteriously divided. Sti... ... GeoAnalyzer (compares national statistical data and generates charts and graphs) is now Web-based and greatly enhanced. The Britannica would do wel... ... GeoAnalyzer (compares national statistical data and generates charts and graphs) is now Web-based and greatly enhanced. The Britannica would do wel... ...e, comes from the bottom up, not the top down. Project Gutenberg is the perfect example of a "grass roots" opposite of "The Trickle-Down Theories"... ...e a favorite pastime of vengeful, self-appointed, vigilante "cyber-cops". Perfectly legitimate, opt-in, email marketing businesses often find themse...

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...ellectual property law are a set of ideas that a ten-year-old can understand perfectly well. (While writing this book, I checked this on a ten-year-ol... ...agine the little underlined blue hyperlink from each title—to my son it made perfect sense. The book’s title was in the catalogue. When you clicked th... ...the frenzied chicken tracks that law students produce during exams, it seems perfectly clear. If handwriting truly showed the architecture of the soul... ...ld not extend to “preventing another man from exhibiting the same truths, in perfectly the same order, from the same evidence” or from extending those... ...ket look like? It would probably be very inefficient, the economists tell us. Perfect infor- mation is a defining feature of the perfect market. The mor... ...write the module of the class and insert your own illustrations, animate the graphs showing calculus in action, morph the photo into some- thing new. ...

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...tomaton Y 1 = {Z, A 1 , δ} and (Z, A 2 , δ) = Y 2 we get the following graphs: Suppose we take A = {0, 1, 2} and divide... ..., 1, 2} and divide it as 1 A ′ = {0, 1} and 2 A ′ = {2} then we get the graphs as But 1 X ′ = {Z, 1 A ′ , δ} and 2 X ′... ...ven order loop should we paste or have common paths between the two K 2n graphs. This question is an interesting one and is left for further analys... ...i-automaton. G is a S-bisemigroup under multiplication. Thus these two graphs together give the S-bisemigroup bisemi-automaton. ... ... chapter introduces a new algebraic notion called bistructures. Stable and perfect bistructures are defined. The concept of bistructures is different... ...a strong bistructure. iii. a stable bistructure. iv. S- bistructure. v. perfect bistructure. 156. On a given set of cardinality n, how many S-bi...

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...ne line of At Bemis' every two weeks 1134 Chapel St., New Haven, Conn. THE PERFECT PEACE Dr. Mackay Speaks Upon the "Sentry Before the Heart" Rov. Don... ... Mackay likened this peace to a good plu)to>;raph. In the nttainnient of a perfect peaoa, three distinct pictures are nooes- sary. The first is the pi... ...s avail us nothing. And when our worries have fled, peace will remain; the perfect peace, coming from the three elements, joy. forbearance and thanks-... ... training is to fit himself for busi- ness or professional work, and to so perfect his mind as to guard him from surprises and to furnish him with the... ...said to have one) is decidedly weak. Very early in the story the reader is perfectly sure that when Johnson reaches home he will find something dreadf... ...d meet bis classes in Theism within a few days. Qrinds, drawing and photo- graphs of local interest are desired for the 1909 Gul. Drawings should be s... ...Beatrice Her- ford. Photochrome Views Exhibited An exhibition of 47 photo- graphs has been placed on the art racks in tho second floor corri- dor of H... ... The talk was illustrated by many well- chosen slides, prinoijjally photo- graphs of ruins of the ancient ar- chitecture of Greece. Professor Rice fir...

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... who dreamt of a patent lever chain; and it seemed to Bert that he was the perfect model of a gentleman of spirit. He hired out quite the dirtiest and... ...wheels, simple and sufficient; it stopped, reversed stood still, balancing perfectly. It maintained its astounding equilibrium amidst a thunder of app... ...nteer opinions, criticisms, and autobiography, supply portraits and photo- graphs of himself, and generally spread his personality across the terrestr... ...g, changed absolutely every dozen years in a stupen- dous progress towards perfection, and people grew less and less warlike, and there was no war. An... ...nding causes of offence. The real deciding cause, it is now known, was the perfecting of the Pforzheim engine by Germany and the consequent possibil- ... ...t land of Phari- sees and reptiles, can do nozzing!—nozzing! You see, I am perfectly frank wiz you. Well, I am instructed that Chermany recognises all...

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...and nobly dreaming writer at the desk. That vision of the strengthened and perfected state is pro- tagonist in my story. But as I re-read “The Prince”... ...man. That lit things wonderfully for us. When I went up to Cambridge I was perfectly clear that life was a various and splendid disorder of forces tha... ...te distinctly evolving that vision. We were then fully fifteen and we were perfectly serious about it. We were not fools; it was simply that as yet we... ...iocre profes- sional men, as assistant masters in schools. Cambridge which perfects them is by the nature of things least oppressed by them,—except wh... ... Justice and Virtue and Well Being, 86 The New Machiavelli and in short a Perfectly Splendid Time. I had already discussed this sort of socialism und... ...o resistance, took him at once into a corner and showed him Italian photo- graphs by Coburn. We dispersed early. I walked with Britten along the Chels...