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... E-mail: steve_gd@hotmail.com Keywords: G-dimensional theory, mathematical physics, relativity, Smarandache hypothesis, gravity, quant... ...the more logical, hence preferred, physical system theory. 8 Or, using terminology of identity (1): Given physical object S, the greater the s... ...usion principle, we see a fourth spatial dimension in GDT has evolved from a mathematical convenience to a logical necessity. Let Universal Space be ... ...is non-zero in another." [44] Again, GRT fails to meet the criteria of the mathematically non-trivial "strict VSE". In Section four the local regi... ...onditions for strict Very Strong Equivalence. In this context, GDT has clear mathematical superiority and raises a comparative paradox in SRT/GRT. 3... ...ollowing corollary theorems and hypotheses, some of which are logically and mathematically proven. From the intrusion principle, spatial curvature r...

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...ons, you will comprehend what sometimes appear in the Kabbalah books as strange terminology for the human spirit, particularly in the basic Kabbalah ... ...r and books by the Ari. The question arises, why did Kabbalists use such simple terminology to express these lofty ideas? The explanation is that no... ...hat God hides things in plain view, as is the case here. Kabbalah utilizes many mathematical concepts such as matrices, geometry, numbers, graphs, c... ... will not be able to describe different phenomena using the required scientific terminology. The Kabbalist perceives the true laws of the Universe, w...

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... nature. A technical analysis program is useless without a stock exchange or if its mathematically erroneous. Yet, the two concepts are often conf... ...appears to be unaware of the work of an important, though eccentric, Czech-Austrian mathematical logician, Kurt Gödel (1906-1978). A passing acquain... ...Note - Godel's Theorems The work of an important, though eccentric, Czech- Austrian mathematical logician, Kurt Gödel (1906-1978) dealt with the com... ...ribed with ones and zeroes, etc.) – it is really a software application, in today's terminology. It carries out instructions, reads and writes, coun... ...cs and geometry. Reality can be successfully described and captured by alternative mathematical systems and geometries. Additionally, we often conf...

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...y matter will not cancel out when you apply this semi-philisophical, semi-mathematical theory to them". For example: People think that their job defi... ...s involves not being "threatened" by the established "rallying points" of terminology that people like yinepusayi and zeal_for_life(and allegradestin...

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...ay that it would be impossible for anyone else to see the soul behind the dry mathematical facts. Here too, it all depends on which words we use to ... ... of my life?” Did he have to write more than two thousand pages of completely mathematical text to answer it? Without understanding what happens in ... ...” of his own situation, photocopy it, and express it in a form of an accurate mathematical formula, mean- ing Gimatria, and convey it to the student.... ...rs. This way he goes through the same situation as his teacher. Gimatria is a mathematical formula that expresses the sum total of our spiritual exp... ...list and scientist, designed to introduce readers to the special language and terminology of the Kabbalah. Here, Rav Laitman reveals authentic Kabba...

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...h itself, which uses drawings, formulas, and matrices. Kabbalah utilizes pure mathematical rules in order to express spiritual phenomena. There are ... ...actical science of all; it explains how we can all “live well.” Q: What is the mathematical structure of the wisdom of Kab- balah? A: The mathematical... ...ist and scientist, designed to introduce read- ers to the special language and terminology of the Kabbalah. Here, Rav Laitman reveals authentic Kabba...

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...hat was being sought for a long time. The desire for something is known in the terminology of Kabbalah as a "vessel" (kli), since specifically the fee... ...rectfeelings,asisdonein thispartofthebook,orinthelanguageofSefirot,thephysics- mathematical description of spiritual objects. This language is univers...

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...nitive maps invented by Kosko and neutrosophic cognitive maps introduced by us help in the analysis of such 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-matric...

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... by us help in the analysis of such real world problems and they happen to be mathematical tools which can give the hidden pattern of the problem un... ...This book, in order to generalize the two models, has systematically invented mathematical tools like bimatrices, trimatrices, n-matrices, bigraphs,... ...ed as the ‘union’ of two graphs here the ‘union’ is distinctly different from terminology union of graphs used. The symbol just denotes only connec... ...t will be easy for an expert to work with. He need not be a person with good mathematical background. For an expert may be a doctor or a lay man wh... ... of the NRM model we will proceed on to describe the concepts of it in a more mathematical way. DESCRIPTION OF A NRM: Neutrosophic Cognitive Ma... .... 58. Jacobson, N. Structure of Rings, Colloquium Publications, 37, American Mathematical Society, 1956. 59. Jang, S.R., C.T. Sun and E. Mizutani. ...

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...wrongly understood!), as well as - as much as I could understand- some of his mathematical, philosophical, enigmatical etc. creations. I recognize th... ... “our daily paradoxes” Smarandache has not certainly referred to the logical, mathematical or linguistic meaning of the word/notion “paradox”, but t... ...nsurgent from Balcesti-Gallup, his protest could not be expressed by means of mathematical formulae or notions and he had to appeal to literature. At... ...a rectitude that we can find only at the strong natures and brave people The mathematical qualities appear for both at secondary school already, man... ...nifesting themselves through contributions with problems and solutions in The mathematical newspaper. The literary debut of Ion Barbu was at 22 year... ...he current named hermetism. As well as other denominations from the literary terminology, at an attentive analysis, also this one proves to be ins... ...rbian work’s researchers: to look for the influence of the mathematics in the terminology used by the founder of paradoxism in titles of volumes and ... ... (full of strange, absurd contradictions). The relative abundant mathematical terminology used by Smarandache in his creation, especially in poetry ...

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... ratios such as R, h, and E is that they combine the important variables. This is mathematically undesirable because non- linear problems are genera... ...I represents the numerical value of electric current in arbitrary dimensions. • Mathematical operations can be performed only on numbers pure num... ... operations can be performed only on numbers pure numbers, and numbers of things. Mathematical operations cannot be performed on things per se. Fo... ...e number of airplanes to determine the average number of people per airplane. • Mathematical operations can not be performed on dimensions becaus... ...to answer the question How many times does a second go into a foot? • Because mathematical operations can be performed only on num- bers, and be... ...stems. The problems in this chapter are restated in Chapter 3 using resistance terminology. The reader is requested to solve the problems using ... ...imensional homogeneity was conceived by Fourier (1822). It is described in modern terminology by Langhaar (1951): . . . an equation of the form ...

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... or end and what, precisely, does it include? A fractal curve (boundary) is an apt mathematical treatment of this question. Indeterminacy can be de... ... are still widely deployed in many branches of the Humanities, the encroachment of mathematical modeling and statistics notwithstanding. Yet, mathe... ...quations account for a wealth of experiences and encapsulate numerous observations. Mathematical concepts and symbols do not correspond to material ... ...or do they alter reality or affect it in any way, shape, or form. One cannot map a mathematical structure or construct or number or concept into th... ...certainty. 5. Despite its aforementioned transigence, mathematics is invariant. A mathematical advance, regardless of how arcane or revolutionary,... ...980) Memory is a complete conscious state and it is reconstructed as such. In our terminology: the structure is hologramic and fractal-like. Laz... ...nance. Eisen It is the similarity of meanings which encourages memorizing. In my terminology: structures belong to the same hyperstructures or ne... ...pologies and predictions. A scientific theory should resort to primitive (atomic) terminology and all its complex (derived) terms and concepts sho... ...ribed with ones and zeroes, etc.) it is really a software application, in today's terminology. It carries out instructions, reads and writes, coun...

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...is peer reviewed and included in the abstracting and indexing coverage of: Mathematical Reviews and MathSciNet (AMS, USA), DOAJ of Lund University (Sw... ...ard assumptions are incorrect, which I shall demonstrate with the required mathematical rigour. Contrary to the usual practise, one cannot talk about ... ... 0 =0 in (18) purely and simply by its invalid initial assumptions, not by mathematical imperative. It incor- rectly assumes p C n (r)≡R p (r)≡r, then... ...ly, the Kruskal-Szekeres formulation is meanin- gless, both physically and mathematically. In addition, the so-called “Schwarzschild radius” (not due ... ...as long ago as 1917, by T. Levi-Civita [20], on the grounds that, from the mathematical standpoint, it lacks the invariant character actually required... ... to observable components of the Riemann-Chrstoffel curvature tensor. This terminology is strictly true in that case where the particles have only rel...

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...o the geometry of general relativity, and it is currently a very active area of mathematical research (see [21, 16, 4, 8]). Riemannian manifolds c... ... at all levels. The purpose of this book is to lay out basic definitions and terminology, rephrase the most obvious applicable results from exist... ... a center and radius that does not correspond to a circle, or in our s-manifold terminology, that the s-circle corresponding to this center and radi... ...Intrinsic Geometry of Surfaces (J.M. Danskin, Trans.). Providence, RI: American Mathematical Society. 2. Antholy, M. (2001). Smarandache Geometry ... ...1996). All the way with Gauss-Bonnet and the sociology of mathematics. American Mathematical Monthly, 103 (6), 457-469. 12. Greenberg, M.J. (1980)... ...aightest geodesics on polyhedral surfaces. In H.C. Hege and K. Polthier (Eds.), Mathematical Visualizations. Berlin: Springer- Verlag. 19. Smarand...

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...since f( )<f( 0 ) = l a m a . Bibliography 1. M. Bencze, OQ.591, Octogon Mathematical Magazine, vol.9, no.1, April 2001, p.670. 2. J. S andor, Geom... ... c and D. Milo sevi c, Two inequalities for any right triangle, Octogon Mathematical Magazine, vol.9, no.1, 402-406. 2. J. S andor, On Emmerich’s ... .... Dacia, 1988. 3. M. Dinc a, About Erd os-Mordell’s inequality , Octogon Mathematical Magazine, vol.8, no.2, 2000, 481-482. 4. M. Dinc a, M. Bencze... ... 1 x 2 + 1 y 2 = 1 z 2 in integers, these Selected papers. 5. Ch.W. Trigg, Mathematical Quickies, New York, 1968. 58 2 On the equation 1 x 2 + 1 y 2 ... ...i surprize ^ n matematic a , Ed. Enc. Rom^ an a, 1975; English edition: Mathematical Quickies, New York, 1968. 4. B. Margit, Problem E:11248, Mat. ... ...or "m-de cient") numbers. Therefore it is not necessary to introduce a new terminology in this case. First remark, that all m-de cient numbers can be ... ...c [8] has proved that for n 31, Y (1 + 1=p)< 28 15 log logn; which in our terminology means that (n)< 28 15 n log logn for n 31: 4. Lastly we deal ...

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...tary system, the atomic model or molecular models for substances, various mathematical models, etc. are examples of speculative models that could and... ...parated from its existential character. For this reason, according to the mathematical and philosophical principles, any existential model presuppose... ... the same length. (The demonstration can be performed according to strict mathematical rules). The natural conclusion is that in the case of intensi... ...ative modeling method is further confirmed by the validity offered by the mathematical modeling, such as the non-Euclidean geometries due to I.Bolyai... ...g. The accuracy of modeling (inner perfection) is justified logically and mathematically, the intrinsic value of a model being so much the more obvi... ...fic nomenclature must be revised in order to be consistent with the usual terminology. The Möbius strip, that sort of curved geometrical surface wit... ...ciating a mathematical connotation (of limitation- boundedness), to this terminology of Hasdeu, the unboundedness theory integrates itself into the...

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...xample of which is the spreadsheet). Data items were related to each other through mathematical formulas. This is the equivalent of the increasing ... ... (reactive) forces. Flow charts were provided together with a method of analysis, a mathematical physics of the mind. But this was a mirage. An ess... ...ypologies and predictions. A scientific theory should resort to primitive (atomic) terminology and all its complex (derived) terms and concepts sho... ...(reactive) forces. Flow charts were provided together with a method of analysis, a mathematical physics of the mind. Many hold all psychodynamic t... ...th of empirical support for its assertions and fundaments, by the ambiguity of its terminology and ontology, by the derision of "proper" scientists... ... (reactive) forces. Flow charts were provided together with a method of analysis, a mathematical physics (dynamics) of the mind. But this was a mir...

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...is peer reviewed and included in the abstracting and indexing coverage of: Mathematical Reviews and MathSciNet (AMS, USA), DOAJ of Lund University (Sw... ...d of gravitational force, which provides two important advantages: (1) The mathematical apparatus of chronometric invariants (physical observable quan... ...d its specifc technical problems. 2 The new approach The basis here is the mathematical apparatus of chronometric invariants, created by Zelmanov in t... ... J. Crothers for his editing this paper. References 1. Eddington A. S. The mathematical theory of relativity. Cambridge University Press, Cambridge, 1... ...y supposed the existence of antimatter in 1928 which resulted from Dirac’s mathematical equation, and fnally the antimatter was discovered/produced in... ...order approximation (the second and third rank approximation in Khinchin’s terminology). It is evident that every rational point of k-th order obtaine...

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...ir value of a security or a market can be derived from available information using mathematical models - but is rarely reflected in prices. This is... ...ected in prices. This is the weak version of the market efficiency hypothesis. The mathematically convenient idealization of the efficient market, ... ...rlying asset at a handsome profit. Without delving too deeply into the model, this mathematical expression works well during trends and fails miser... ...me high. Speculators have benefited from unprecedented opportunities for arbitrage. Mathematical- economic models of risk, diversification, portfolio... ...ation asymmetries into the math. Nowadays, not all fund managers are using the same mathematical models. A better explanation for the inability of ... ...e justice" deals with the just allocation of scarce resources. Yet, even the basic terminology is somewhat fuzzy. What constitutes a resource? what...

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...xample of which is the spreadsheet). Data items were related to each other through mathematical formulas. This is the equivalent of the increasing ... ... or end and what, precisely, does it include? A fractal curve (boundary) is an apt mathematical treatment of this question. Indeterminacy can be de... ...ts). His space-time is a four dimensional continuum. What commenced as a matter of mathematical convenience was transformed into a hallowed doctrin... ...al systems (better known as "Chaos Theory") has also violated long held notions of mathematical continuity. The sets of solutions of many mathemati... ...gers. This set has a boundary and will react in the same way, simultaneously, to a mathematical action (say, to a multiplication by a constant). Bu... ...component of any legal battle, especially one involving interpretations, ambiguous terminology and the substantiation of intentions. The President ... ...e justice" deals with the just allocation of scarce resources. Yet, even the basic terminology is somewhat fuzzy. What constitutes a resource? what... ...pologies and predictions. A scientific theory should resort to primitive (atomic) terminology and all its complex (derived) terms and concepts sho... ...ypologies and predictions. A scientific theory should resort to primitive (atomic) terminology and all its complex (derived) terms and concepts sho...

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...xample of which is the spreadsheet). Data items were related to each other through mathematical formulas. This is the equivalent of the increasing ... ... or end and what, precisely, does it include? A fractal curve (boundary) is an apt mathematical treatment of this question. Indeterminacy can be de... ...ts). His space-time is a four dimensional continuum. What commenced as a matter of mathematical convenience was transformed into a hallowed doctrin... ...al systems (better known as "Chaos Theory") has also violated long held notions of mathematical continuity. The sets of solutions of many mathemati... ...gers. This set has a boundary and will react in the same way, simultaneously, to a mathematical action (say, to a multiplication by a constant). Bu... ...component of any legal battle, especially one involving interpretations, ambiguous terminology and the substantiation of intentions. The President ... ...e justice" deals with the just allocation of scarce resources. Yet, even the basic terminology is somewhat fuzzy. What constitutes a resource? what... ...pologies and predictions. A scientific theory should resort to primitive (atomic) terminology and all its complex (derived) terms and concepts sho... ...ypologies and predictions. A scientific theory should resort to primitive (atomic) terminology and all its complex (derived) terms and concepts sho...

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...roups. It is pertinent to mention that Smarandache notions on all algebraic and mathematical structures are interesting to the world of mathematicia... ...of us, for we have been considering mappings from the very earliest days of our mathematical training. DEFINITION: If S and T are nonempty sets, ... ...groups are the only algebraic structures with a single binary operation that is mathematically so perfect that an introduction of a richer structure... ... in any proper subsemigroup of S we say A is the largest subgroup of S. This terminology will be used throughout this book. THEOREM 4.4.3: Let ... ... We get BA ⊆ / A. Hence the claim. 79 Thus we are justified in using the terminology pseudo simple instead of simple as S(n) is pseudo simple...

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...verwhelming empirical evidence to the contrary - simply because it is aesthetic and mathematically convenient. So, what are economic "theories" goo... ...thal falsified all apocalyptic Malthusian scenarios hitherto. Operations research, mathematical modeling, transparent decision making, free trade, ... ...rlying asset at a handsome profit. Without delving too deeply into the model, this mathematical expression works well during trends and fails miser... ...ir value of a security or a market can be derived from available information using mathematical models - but is rarely reflected in prices. This is... ...ected in prices. This is the weak version of the market efficiency hypothesis. The mathematically convenient idealization of the efficient market, ... ... justice" deals with the just allocation of scarce resources. Yet, even the basic terminology is somewhat fuzzy. What constitutes a resource? what... ...ribed with ones and zeroes, etc.) – it is really a software application, in today's terminology. It carries out instructions, reads and writes, coun...

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...neral manifolds, we know that Riemann surfaces have become a source of the mathematical creative power. Many good ideas for the manifolds with higher ... ..., in fact, any solution for one of these problems needs to establish a new mathematical system first. But as soon as the system has been established, t... ...nected, possiblywithloopsormultipleedgesandgroupsarefiniteinthecontext. For terminology and notation not defined in this book can be seen in [33],[34] a... ...K.Polthier and M.Schmies, Straightest geodesics on polyhedral surfaces, in Mathematical Visualization(ed. byH.C.HegeandK.Polthier),Springer-Verlag, Be...

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...ult). Supplementary Reading 1. Birkhoff, G. Lattice Theory. American Mathematical Society, Providence, R.I., 1967. 2. Birkhoff, G. and Ba... ...ce over S. If ∑ α = β i i v( v i ∈ V, α i ∈ S) which is in V, we use the terminology β is a linear combination of v i 's. We also say β is linear... ...swer? Supplementary Reading 1. Birkhoff, G. Lattice Theory. American Mathematical Society, Providence, R.I., 1967. 2. Birkhoff, G. and Ba... ...ve one among researchers. Except for Smarandache notions such rich type of mathematical analysis would be completely absent in the realm of mathemat...

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... L A H , S C I E N C E , A N D T H E M E A N I N G O F L I F E 10 In his book, Mathematical Principles of Natural Philosophy (1687), Isaac Newton (16... ...pec- tive of the observer who discovers the rules. However, until a science is mathematically established, it cannot be considered a science. For exa... ...information in the consciousness. The sub- conscious processes the information mathematically, but it only processes a tiny fragment of the informati... ...e the amount of particles that appeared at each point on the screen, we get a mathematical result that does not perfectly match a moving wave of pro... ... If we were to fire a single particle, we would be able to predict with utter mathematical precision the probability of that particle hitting a cert... ...ist and scientist, designed to intro- duce readers to the special language and terminology of the Kab- balah. Here, Rav Laitman reveals authentic Kabb...

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...th Godin invented the concept of an "ideavirus" and an attendant marketing terminology. In a nutshell, he says, to use his own summation: "Marke... ...record) in a repository. The handle is the clever numerical result of a mathematical formula whose input is the number of information bits in the ... ...llions of legitimate operators, in every nation, by children being taught mathematical concepts...A graphical representation of data abstracted from... ...ocratic medium. Yet, it hardly qualifies as a medium and by no stretch of terminology is it democratic. Democracy has institutions, hierarchies, ord... ...hte's (dialectic) thought and its refined version by the (hallucinatory) mathematical mind of C.S.Pierce. This mechanism is at the heart of all new... ... laden. The user interface was highly formal and the formalism was highly mathematical. Computers were a three-dimensional extension of formal logic ... ...an example of such a decentralized system. The simultaneous emergence of mathematical theories (fractals, recursiveness) that de-emphasized centrali... ... ones and zeroes, etc.) – it is really a software application, in today's terminology. It carries out instructions, reads and writes, counts and so ...

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...future pleasure to present pain. In other words, this calculation is a simple mathematical operation in which the amount of suffering is subtracted ... ...ist and scientist, designed to introduce read- ers to the special language and terminology of the Kabbalah. Here, Rav Laitman reveals authentic Kabba...

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... like you do not fully understand the materials and are not comfortable with the terminology. I have included a glossary of terms in the back of th... ... vary from one county to the next and you will start to become familiar with the terminology used in your state and counties. There are a number of... ...It results in a reduction of the principal balance of the loan by an established mathematical formula. Usually, by the end of the term of the loan,...

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...Dimensions. The 3 Dimensions were created logically, naturally, organically, mathematically and mechanically in a strict causal order of 1-2-3... ... ...Dimensions. The 3 Dimensions were created logically, naturally, organically, mathematically and mechanically in a strict causal order of 1-2-3 Th... ... how a living cell splits. You can even see it in abstract mathematics. All Mathematical equations are dynamic balanced splits. Scientific equatio... ...y of Balanced Splitness without exception, then there could be no Science, no mathematical equations, no Nature, no living cells, no sub-atomic part... ... The perspective of Length, the first Dimension of Length is also the famous mathematical concept of the 1-dimensional point. They are the same th... ... and Nobles had in those days were the semantic equivalent of brainwashing by terminology. Brainwashing by association. Call a dog a cat long enoug... ... forced to give you an answer: they spout Grey’s anatomy, or some holy medical terminology and mass-studies done on certain ‘identical conditions’, a... ...nd human emotions, and the human psyche-personality-soul. Again. The entire terminology of positive, and negative is a bunch of semantic bullshit....

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...) deemed most relevant. The use of product attributes as a basis is rooted in the mathematical concept of space such as the two- dimensional space d... ...fe cycle of one social issue, reforestation of denuded areas, may be predetermined mathematically. The cause is vigorously taken up at times when ti... ...While that point is substantively consonant with the thesis of this chapter, their terminology is believed to be less than accurate. The expression ... ...eams into realities. Having satisfied biological and safety needs, to use Maslow's terminology, we now have the luxury of pursuing ego, belongingnes...

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... 4. We will call S(n) the symmetric semigroup of order n n by default of terminology. PROBLEMS: 1. Let S =               ∪ ... ...e only S-pseudo ideals and no S-ideals I or S- ideals II. 29. Describe mathematically those group rings which are not a. S-simple rings I. b... ..., Vol. 116, 208- 226, (1988). 38. Jacobson.N, Theory of rings, American Mathematical Society, (1943). 39. Jacobson.N, Structure of ring, America... ...thematical Society, (1943). 39. Jacobson.N, Structure of ring, American Mathematical Society, (1956). 40. Jin Xiang Xin, Nil generalized Hamilto...

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...een narcissism and the Antisocial Personality Disorder (AsPD or psychopaths, in the old terminology) are: 1. Inability or unwillingness to control ... ...yeth the narcissist. Additionally, narcissists get tired of their sources. There is no mathematical formula, which governs this. It depends on nume...

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...r time of having his energy subjugated to the mat when out of nowhere came a mathematical question aimed and moving toward him as an arrow. He felt t... ... yet this dreaminess was being indicted by Mrs. Dinosaur and usurped by her mathematical abstractions. "I don't give a flying fuck about numbers" he... ... conceptualize her as "the dinosaur" or "Reclasaur," demeaning second grader terminology, there was a subtle smile on her countenance (feigned or not)... ...e of family, where shoddy and experimental construction was done without the mathematical formulas of engineers, her hobbies were natural. They were d...

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... fuzzy algebraic structures. 1.1 Fuzzy Subsets In 1965 Zadeh [144] mathematically formulated the fuzzy subset concept. He defined fuzzy subse... ...e of fuzzy polynomial near-rings cannot say the number of roots in a nice mathematical terminology that is itself fuzzy. 113 A study of these f... ...lynomial near-rings cannot say the number of roots in a nice mathematical terminology that is itself fuzzy. 113 A study of these fuzzy polynomi... ...494 (1999). 88. MCKOY, N.H., Rings and Ideals, Carus Math. Monograms, 18, Mathematical Association of America. 89. MEIYAPPAN D., Studies on fuzzy ...

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...ion of the Veiled Being to that living reality in our lives who is, in his terminology, the true God. Speaking from the point of view of practical rel... ... clear and explicit as possible, though perfect clearness, a definition of mathematical sharp- 42 God The Invisible King ness, is by the very nature ... ...e come upon, have transferred the state- ments of “science” into religious terminology, rejected obso- lescent definitions, and re-coordinated proposi...

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...ell me of the remarkable precisions, the encyclopaedic quality of chemical terminology, and at the word terminology I should insinuate a comment on th... ...lear, a scientific language you de- mand, without ambiguity, as precise as mathematical for- mulae, and with every term in relations of exact logical ... ...ever general terms, of providing for the endless mysteries of the future a terminology and an idiom! We follow the vein, we mine and accumulate our tr... ...tion, just as the introduction of a fresh term to an intricate irreducible mathematical expression will at times bring it to unity. Now philosophers a...

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...stion Y.M. You keep me confused and perplexed all the time by your elusive terminology. Sometimes you divide a man up into two or three separate perso... ... the contest. The problem was not a very difficult one for pupils of their mathematical rank and standing, yet they all failed—by a hair—through one t...

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...s of the mind in pursuing them. Here, as in the processes of nature and in mathematical demonstrations, the appropriate elegance is derived from the s... ...ages, but did not allow for profits; and thus, according to the Malthusian terminology, expressed the cost but not the value of a thing. What was Mr. ...

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...ng to Froebel, the actuating force is the presentation of symbols, largely mathematical, corresponding to the essential traits of the Absolute. When t... ... oral or written reproduction. The scope of coordination (to use our prior terminology) is extremely limited. The connec- tions which are employed in ... ...to Froebel, the mystic symbolic value of certain objects and acts (largely mathematical) stand for the Absolute Whole which is in process of unfolding... ...ious development of all the powers of personal- ity” or in the more recent terminology of “social effi- ciency.” All this reinforces the statement whi... ... has been led to foresee (infer) a future eclipse. No matter how great the mathematical probability, the inference is hypothetical—a matter of probabi... ...In practice, overemphasis upon formed material leads to an exaggeration of mathematical qualities, since intellect finds its profit in physical things... ...ases, of geographical study which tend to become specialized and separate. Mathematical or astronomical, physiographic, topographic, political, commer... .... The signs are intended only to stand for things and acts. But scientific terminology has an additional use. It is de- signed, as we have seen, not t... ...he technique for the thing it- 293 John Dewey self; the apparatus and the terminology for reality, the method for its subject matter. Science does co...

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...mparison with the apparatus of modern math- ematical method. And while the mathematical subjects of the quadrivium were taught as science and for thei... ...and minima, as it is now to be able to read and write. This development of mathematical teaching is only another aspect of the neces- sity that is bri... ...eneral scheme that is the real obstacle to any material improvement in our mathematical teaching. Professor Perry, in his open- ing address to the Eng... ...irmly into the teachers’ hands. The problem is much simpler in the case of mathematical teaching than in the case of English, because the educational ... ...t and trial I have suggested for the organization of English teaching. The mathematical reformer may begin now at a point the En- glish language refor... ...ce of physics, since it culminates in a clear understanding and use of the terminology of the as- pects of energy and a clear sense of adequate causat... ... matter of fact, if only the reader will allow for a certain difference in terminology, they do. What I have here called Schooling is, so far as the a...

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...o do, that every unconscious wish was once conscious, and was then, in his terminology, “repressed” because we disapproved of it. On the contrary, we ... ...e sensa- tion. The subject, however, appears to be a logical fiction, like mathematical points and instants. It is introduced, not 99 The Analysis of... ...ired relation to our present remem- bering. What, if we followed Meinong’s terminology, we should call the “object” in memory, i.e. the past event whi... ...other than the general laws of physics, i.e. those which, according to our terminology, involve vital movements as opposed to merely mechanical moveme... ...eling of memory-belief is just the same, and only what is remembered *This terminology is suggested by Meinong, but is not exactly the same as his. 1... ...in our control. I do not wish to assert that this is the whole truth about mathematical propositions, for the question is complicated, and I do not kn... ...e truth is. But I do wish to suggest that the feeling of self-evidence in mathematical propositions has to do with the fact that they are concerned w... ... reference. The objective reference of a proposition is a function (in the mathematical sense) of the meanings of its component words. But the objecti...

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...takes the same delight in 45 Emerson subordinating every thing to the new terminology as a girl who has just learned botany in seeing a new earth and... ...f God are always loaded. The world looks like a multiplication-table, or a mathematical equation, which, turn it how you will, balances itself. Take w... ...l sureness for all right action. Love, and you shall be loved. All love is mathematically just, as much as the two sides of an algebraic equation. The... ...uld Shakspeare give a theory of Shakspeare? Could ever a man of prodigious mathematical genius convey to others any insight into his methods? If he co... ...aws of mind, which adjust the relation of all persons to each other by the mathematical measure of their havings and beings? Gertrude is enamored of G... ...e an- nounce the instant presence of supreme power. Our action should rest mathematically on our substance. In nature, there are no false valuations. ...

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..., 1899, p. 54. Although the disciples of the mind-cure often use Christian terminology, one sees from such quotations how widely their notion of the f... ...ny bit of religious experience we might hear of would thus be given almost mathematically into our hands. If convenience were everything, we ought now... .... The “argument from design” reasons, from the fact that Nature’s laws are mathematical, and her parts benevolently adapted to each other, that this c... ...erwise? The extraordi- nary value, for explanation and prevision, of those mathematical and mechanical modes of conception which science uses, was a r...

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... German, he enrolled at the University of Bonn in a program for technical, mathematical, and scientific studies. In June 1997, he requested a leave fr... ... National Prepared- ness Standard establishes a common set of criteria and terminology for pre- paredness, disaster management, emergency management, ...