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...Combinatorial algebraic systems . . . . . . . . . . . . . . . . . . . . 79 2.5.1 Algebraic multi-system. . . . . . . . . . . . . . . . . . 79 2.5.2 Diagram of multi-system . . . . . . . . . . . . . . . . 81 2.5.3 Cayley diagram . . . . . . . . . . . . . . . . . . . . . . . . . 85 2.6 Remarks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 89 Chapter 3. Top...

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... Subject: Nobody can make well-founded decisions without overview. In complex situations, overview requires diagrams. This short e-book shows how to make them. Step by step, from basic to advanced ones, with many example diagrams. Target audience: Everyone interested. No special knowledge required. Estimated reading...

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...ns, but increasingly less so in the fifth section. In general specific rules (or if one prefers laws) are defined in natural language with supporting diagrams where appropriate for clarity and convenience. In as far as sensible examples (other than for clarification), analysis, and implementation details are avoided as these will, to some extent, form part of the next book...

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...ain various topics in as simple a language as possible, without compromising on the quality of the subject matter. The text is supported with clear diagrams. Students, who are appearing for various competitive exams, will find this book equally helpful. This book will also serve as a handy tool for teachers and postgraduate students....

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...freading: Lily Solopov, Natasha Sigmund, Sarah Talal Layout: Luba Visotzki Diagrams: Baruch Khovov, Luba Visotzki Cover Design: Bat Sheva Brosh Printi... ... (due to the absence of a screen on them) are called Sof (end) (see below diagram). This is the structure of the soul (Kli, vessel, corrected altrui... ... In the limbs, there are five parts from the navel to the toes (see below diagram). ... ...state, that is, since her AHP fell to ZON, she lost the Light of GAR (see diagram on next page). Therefore, only the letters MI = GE = K-H remained i... ...efira Yesod of the world of Assiya fell and clothed in its degree. In the diagram, GE of man in our world are put in brackets, for he who exists (sp... ... degree. Not all ten Sefirot of the world of Assiya are shown in the above diagram, but as it was previously mentioned, each degree is divided into i...

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...ons are also aired live on www. kab.tv, along with complementary texts and diagrams. All these services are provided free of charge. Television In Isr...

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...ons are also aired live on www.kab.tv, along with complementary texts and diagrams. All these services are provided free of charge. Television In Isr...

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...ical Body 3.8. What is Dreaming and the "Dream World" about? 3.9. What is OCCOULIA the Programming Language? 3.10. OCCOULIA Octagon / Ogdoad Diagram 3.11. The Eight (8) Character of the OCCOULIA Alphabit 3.12. The Principles of OCCOULIA (1-28): Non-Expanded 3.13. Principles of OCCOULIA (1-28): Expanded 4. A Vision of new possibilities and a new world...

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...g, by F. Smarandache & V. Christianto......................74 COMPUTER PROGRAMMING CODIFICATION..............83 9. Algebraic Generalization of Venn Diagram, by Florentin Smarandache.........84 ECONOMICS, BUSINESS, AND POLITICS.................87 10. Introduction to Poly-Emporium Theory in Economics, by V. Christianto, F. Smarandache, in Authors’ book Cultural Advantage...

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...g, by F. Smarandache & V. Christianto......................74 COMPUTER PROGRAMMING CODIFICATION..............83 9. Algebraic Generalization of Venn Diagram, by Florentin Smarandache.........84 ECONOMICS, BUSINESS, AND POLITICS.................87 10. Introduction to Poly-Emporium Theory in Economics, by V. Christianto, F. Smarandache, in Authors’ book Cultural Advantage...

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...llknown publication Only Problems, Not Solutions. All topics are independent of one another and can be read separately. Findings are illustrated with diagrams and tables. The latter have been kept to a minimum as it is often not the numbers but the general behaviour and pattern of numbers that matters. One of the facinations with number problems is that they are often easy...

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... 2003  Henry Ibstedt & American Research Press The diagram on the cover illustrates the Smarandache partial perfect additive... ...nt of one another and can be read separately. Findings are illustrated with diagrams and tables. The latter have been kept to a minimum as it is oft... ...28 this does not happen and a statistical view on the results displayed in diagram 1 makes it reasonable to conjecture that it never happens. Each ... ...gram 1 makes it reasonable to conjecture that it never happens. Each row in diagram 1 corresponds to a sequence of iterations starting on n=2 k fin... ...rgest numbers of leaps form 2 j to 2 j+1 -1. Leaps are represented by ↑ in diagram 1. For n=2 11 and 2 12 the iterations are monotonously decreas... ...↑ ↑ 27 ↑ ↑ ↑ 28 ↑ ↑ ↑ ↑ Diagram 1. the end result will of course be 1. It is what this chain o... ...from (9) is m+1-2⋅m=-m+1. This makes for the spectacular behaviour shown in diagrams 1 and 2. The sequence gradually struggles to get to a peak for ... ...re is a great similarity between the oscillating behaviour shown in the two diagrams. In diagram 3 this behaviour is illustrated as it occurs betwee... ...0 2 4 6 8 10 241 243 245 247 249 251 253 255 257 259 261 263 265 267 269 271 Diagram 1. a n as a function of n around n=2 8 illustrating the ”big dr...

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EGYPTIAN HIEROGLYPHS ² 4 - 23 RADIO DIAGRAMS ² 24 - 36 TV SHOW ² 37 - 44 ELECTRICAL CIRCUITS ² 45 - 54 MARINE FAUNA ² 55 - 76

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...bject: How argument mapping can make discussions better (and shorter). Why different perceptions of reality can cause disagreement, and how diagrams can make people aware of this. Target audience: Everyone interested. No special knowledge required. Estimated reading time: 20-25 minutes. Should you prefer watching over reading, have a look at this vi...

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...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 three we describe commutative semigroups, loops, commutative groupoids and commutative rings as special graphs. The final chapter contains 52 problems....

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...teful to Ilanthenral for formatting the book and drawing all the graphs and diagrams in this book. Our thanks are also due to Meena Kandasamy and Dr... ...sics employs graph theory rather as pictorial device. Feynmann proposed the diagram in which the points represent physical particles and the lines r... ...raph. Clearly (1, 0) graph is trivial. A graph is represented always by a diagram and we refer to it as the graph. The graph in figure 2.1.1 is ... ...1.6 x a b c d y FIGURE: 2.1.7 20 i.e., the lines x and y intersect in the diagram their intersection is not a point of the graph. Recall in the g... ...noted by λ C (G). 2.4 Trees Graphs also derive their names from the diagrams. A tree is one such graph formally a connected graph without cy... ...basis for several of the fuzzy models like binary fuzzy relations, sagittal diagrams, fuzzy compatibility relations fuzzy partial ordering relations... ...Binary relation on a single set. The related weighted graph or the sagittal diagram is follows. Let X = {x 1 , x 2 x 3 x 4 x 5 }. Membership ... ....4 .3 .3 .6 .3 .8 FIGURE: 2.8.4 59 The graph representation by a single diagram. Study in this direction using this graph will be carried out f... ...rosophic pendent edge of G N . Example 3.3.7: G 5 given by the following diagram has neutrosophic isolated vertex: N 2 is the neutrosophic-i...

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... To represent this idea in this format would produce a very crowded diagram indeed, so, to clarify this, the whole of space at the time of th... ...a building. These are termed “simultaneous spaces”. So, the above diagram could be represented thus: Fig.9. An Emission Event Showin... ...bserver is at rest in space, he follows the time axis at 12 o’clock in the diagram and observes the rapidly moving object as possessing a great dea... ...ealities, all of which can be represented by the energy/momentum 4-vector diagrams already introduced. 70 Fig.22. The Star of Infinite Realit... ... wish to make an interesting observation regarding the multiple realities diagrammatically represented in Fig.22. Consider Reality A. If the hi... ...here are possibly an infinite number of these, which would make the above diagram somewhat crowded! You may be able to see here a resemblance t... ...hat crowded! You may be able to see here a resemblance to the earlier diagram, Fig.23, repeated below: 95 In the “fish tank” of Fig... ...ugh the pitfalls and vagaries of Microsoft Word. The adaptations of diagrams from “The Emperor’s New Mind” by Roger Penrose were used by kin... ...http://en.wikipedia.org/wiki/File:Calabi_yau.jpg #file The light cone diagrams were derived from one in Wikipedia. The author is listed as K...

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...r xy = R(x, y). Another useful representation of binary relation is a sagittal diagram. Each of the sets X, Y is represented by a set of nodes in t... ...ents of X × Y with non-zero membership grades in R(X, Y) are represented in the diagram by lines connecting the respective nodes. 11 We illust... ...m by lines connecting the respective nodes. 11 We illustrate the sagittal diagram of a binary fuzzy relation R(X, Y) together with the corresp... ...fuzzy relation. Thus a fuzzy binary relation can be represented by the sagittal diagram. The corresponding membership matrix: y 1 y 2 ... ...bserved: i. Each element of the set X is represented as a single node in the diagram. ii. Directed connection between nodes indicates pairs of e... ... X, with the grade of membership in R is non-zero. iii. Each connection in the diagram is labeled by the actual membership grade of the correspondi... ... actual membership grade of the corresponding pair in R. An example of this diagram for a relation R (X, X) defined on X = {x 1 , x 2 , x 3 , x ... ...0 0 6 . 8 . 0 7 . 0 1 . 0 2 . 5 4 3 2 1 x x x x x The corresponding sagittal diagram is given in Figure 1.1.3: Figure: 1.1.3 x 1 x 2 x 3 x... ..., simple ordering and complete ordering. Partial ordering can be represented by diagrams and this sort of diagrams are called Hasse’s diagrams. A f...

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...r xy = R(x, y). Another useful representation of binary relation is a sagittal diagram. Each of the sets X, Y is represented by a set of nodes in t... ...ents of X × Y with non-zero membership grades in R(X, Y) are represented in the diagram by lines connecting the respective nodes. 11 We illust... ...m by lines connecting the respective nodes. 11 We illustrate the sagittal diagram of a binary fuzzy relation R(X, Y) together with the corresp... ...fuzzy relation. Thus a fuzzy binary relation can be represented by the sagittal diagram. The corresponding membership matrix: y 1 y 2 ... ...bserved: i. Each element of the set X is represented as a single node in the diagram. ii. Directed connection between nodes indicates pairs of e... ... X, with the grade of membership in R is non-zero. iii. Each connection in the diagram is labeled by the actual membership grade of the correspondi... ... actual membership grade of the corresponding pair in R. An example of this diagram for a relation R (X, X) defined on X = {x 1 , x 2 , x 3 , x ... ...0 0 6 . 8 . 0 7 . 0 1 . 0 2 . 5 4 3 2 1 x x x x x The corresponding sagittal diagram is given in Figure 1.1.3: Figure: 1.1.3 x 1 x 2 x 3 x... ..., simple ordering and complete ordering. Partial ordering can be represented by diagrams and this sort of diagrams are called Hasse’s diagrams. A f...

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...s (such as the aforementioned infinite curvature, or the infinities in the Feynman diagrams). They postulate the existence of matter- forming, minus... ...gible) the "higher" we climb the order hierarchy. The computation of the first few diagrams should be yield an outcome asymptotic to "reality". Thi... ...ty". This is necessary because in point-like particle field theories, the number of diagrams required to describe higher orders grows exponentially... ...n string theories. Holes and "handles" (protrusions) in the worldsheet replace the diagrams. Each PT order has one diagram - the worldsheet. This d... ... - solving a 2-handle worldsheet is no less excruciating than solving a classic PT diagram. But if we want to obtain complete knowledge about a qua... ...exists (the "mind", the "psyche") which cannot be reduced to hardware or to wiring diagrams. Talk therapy is aimed at that something and supposedly...

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...nding letters in accompanying illustra- tions : "At the point A above (see diagram)." 59. References to particular letters: the letter u, a small ... ...in, 105; from proper names, 46; from words endii in t, how to dinde, #lo. Diagrams, letters referring to, 58. Digraphs, rules for use of, 105. Di... ... or legends referring to c~esponding letters in acwm anying illustrations (diagrams), 58; rgrences to particular, to be set in italica, 59. "Lieut...

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... the form V COMP {I COMP }, or the form I COMP {V COMP }. • Inspect the circuit diagram and write circuit behavior equations (ie equations in the... ...ersible, and results in permanent strain. 14.2 A definition of stress/strain diagram The following is a reasonable definition of stress/stra... ...llowing is a reasonable definition of stress/strain diagram : The stress/strain diagram is the locus of points that describe the relationship bet... ...be the relationship between stress and strain. Figure (14-1) is a stress/strain diagram of a more or less typical material in its virgin state ie... ...indicates that, when the stress/strain behavior is irreversible, the stress/strain diagram is essen- tially the area under the curve. ... ...ssen- tially the area under the curve. 176 Figure 14-1 Stress/strain diagram 0 20000 40000 60000 80000 100000 0 0.002 0.004 0.006 0.00... ...rain curve : The stress/strain curve is the upper boundary of the stress/strain diagram. Figure (14-2) is the stress/strain curve for the virgi... ... 179 14.5 Summary of stress/strain diagram and stress/strain curve • The stress/strain diagram is ... ...σ and ε. • The stress/strain curve is the upper boundary of the stress/strain diagram. • In the elastic region: o Operation is reversible....

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...n function for rational numbers. To obtain the function Ra(x) as a regular diagram we defne this function (meaning the fnite approximation order, the ... ...coming signal — 0.75V and 1.25V. The apexes of both functions shown in the diagrams are located at the points plotted by the fractions 1/n. This fact ... ...y analogous to Fourier-series expansions of white noise. Such experimental diagrams could be obtained in a purely theoretical way. Much more interesti...

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...xt of Geometric Probability theory is provided by the electron self-energy diagram. Using Feyn- man’s rules, the self-energy Σ(p) as a function of the... .... The off-shell (virtual) photon associated with the electron self- energy diagram asymptotically behaves on-shell at the very moment of emission (t =... ...be the cause of events located “over” the spatial section on the Minkowski diagram. The term Quantum has been added to the Causality Threshold, becaus... ...be the cause of events located “over” the spatial section in the Minkowski diagrams we use in the pictures. So, in this ultimate case the space-time i...

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...exists (the "mind", the "psyche") which cannot be reduced to hardware or to wiring diagrams. Talk therapy is aimed at that something and supposedly... ...exists (the "mind", the "psyche") which cannot be reduced to hardware or to wiring diagrams. Talk therapy is aimed at that something and supposedly... ...es (such as the aforementioned infinite curvature, or the infinities in the Feynman diagrams). They postulate the existence of matter-forming, minu... ...igible) the "higher" we climb the order hierarchy. The computation of the first few diagrams should be yield an outcome asymptotic to "reality". Thi... ...y". This is necessary because in point-like particle field theories, the number of diagrams required to describe higher orders grows exponentially ... ...in string theories. Holes and "handles" (protrusions) in the worldsheet replace the diagrams. Each PT order has one diagram - the worldsheet. This d... ... - solving a 2-handle worldsheet is no less excruciating than solving a classic PT diagram. But if we want to obtain complete knowledge about a qua...

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...exists (the "mind", the "psyche") which cannot be reduced to hardware or to wiring diagrams. Talk therapy is aimed at that something and supposedly... ...exists (the "mind", the "psyche") which cannot be reduced to hardware or to wiring diagrams. Talk therapy is aimed at that something and supposedly... ...es (such as the aforementioned infinite curvature, or the infinities in the Feynman diagrams). They postulate the existence of matter-forming, minu... ...igible) the "higher" we climb the order hierarchy. The computation of the first few diagrams should be yield an outcome asymptotic to "reality". Thi... ...y". This is necessary because in point-like particle field theories, the number of diagrams required to describe higher orders grows exponentially ... ...in string theories. Holes and "handles" (protrusions) in the worldsheet replace the diagrams. Each PT order has one diagram - the worldsheet. This d... ... - solving a 2-handle worldsheet is no less excruciating than solving a classic PT diagram. But if we want to obtain complete knowledge about a qua...

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...e s-line a, and since the region between 56 them is Euclidean outside of the diagram, this angle will be preserved and the s-lines will not inter... ...s-lines b and c would be the “last” parallels through T. Towards the top of the diagram, both a and c are vertical in the Euclidean region, and thes... ...d F, the angles of both b and c are 90° relative to a towards the bottom of the diagram. Any of the s-lines between b and c, like the s-line d, will... ...d with heavy dots, but continues with Euclidean vertices around the rest of the diagram. Postulate I is S-denied, since the points C and D cannot ...

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...exists (the "mind", the "psyche") which cannot be reduced to hardware or to wiring diagrams. Talk therapy is aimed at that something and supposedly... ...exists (the "mind", the "psyche") which cannot be reduced to hardware or to wiring diagrams. Talk therapy is aimed at that something and supposedly...

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...ot take place between the graph and its subgraph. We have just now seen the diagrammatic representation of bigraph. Almost all terms associated w... ...35: Let G = G 1 ∪ G 2 ∪ G 3 ∪ G 4 be the quadgraph given by the following diagram. The quadgraph is a disjoint union of two connected bigraphs. ... ...points are adjacent whenever both spaces are occupied. Feynmann proposed the diagram in which the points represent physical particles and the lines... ...ite graphs, then G is a biconnected neutrosophic bipartite bigraph. i.e. the diagram of a biconnected neutrosophic bipartite bigraph is given in th...

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...y electrons are able to cross the barrier. The Cerenkov shockwave can be diagrammed as a series of eccentric circles to accurately show the orienta... ...analogy between relativistic distortions of space & time in the Minkowski diagram and geometric rotation (a transformation of visual perception) of ...

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...us systems which eventually come to be seen as independent identities. The diagram has been simplified in that many branches have had to be omitted fo... ...ly one of the group of religious cultural traditions on level three of our diagram to survive to the modern day. Zoroastrianism was highly creedal, th... ...(Introspection) East (Far-seeing) Figure 2: The Medicine Wheel (based on a diagram in Storm’s Seven Arrows) The Medicine Wheel (based on a diagram in ...

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... graph given by the union leader of the company is given by the following diagram. 99 The related matrix of the directed graph given by the se... ...s are adjacent whenever both spaces are occupied. Feynmann proposed the diagram in which the points represent physical particles and the lines rep...

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...pportunities Set" 5. The "INDIFFERENCE CURVE" or the "UTILITY CURVE" {SHOW THREE DIAGRAMS} 6. The OPTIMAL SOLUTION (=maximum consumption in both...

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... which corresponds to the area a 1 ∪a 2 ∪a 3 ∪a 4 ∪a 5 on the following Venn diagram. Figure 1: Represe...

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...nts are adjacent whenever both spaces are occupied. Feynmann proposed the diagram in which the points represent physical particles and the lines re...

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...ges and pages full of banalities and nonpoetry; - paralinguistic verses: diagrams, drawings...; - nonword and nonposition verses; - verses highl...

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...stribution structure. Typically, the consumer appears at the lower end of channel diagrams as the recipient of the product, below all of the other m...

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...s are adjacent whenever both spaces are occupied. Feynmann proposed the diagram in which the points represent physical particles and the lines rep... ... A 2 , …, A 7 } and {T 1 , T 2 , …, T 6 } which is given by the following diagram: 295 Now using the neutrosophic directed graph we give the rel...

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...rg/atlas/atlas.html At first sight, it appears to be a static, cluttered diagram with multicoloured, overlapping squares. Really, it is an extremel...

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...ted Amherst 20 to 0, a margin of 20 points. This appears on tbe Will- iams diagram 30 points above, and on the Amherstdiagram. 30 points below, the ze...

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...in why Organizational Design is trending and how do you know it’s time to touch the structure; a case study between two business models and a popular diagram on management style will help you to better understand this new ideology. 3. Social media proved an effective method to influence people behavior, yet, very few master this craft; tips and tricks for effective social...