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...t and diversified that it is indeed difficult to choose the materials. Then, I fixed on five topics, namely, Some Smarandache Sequences, Smarandache Determinant Sequences, the Smarandache Function and its generalizations, the Pseudo Smarandache Function and its generalizations, and Smarandache Number Related Triangles. Most of the results appeared before, but some result...

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...Introduction 7-8 Chapter 1, Some Smarandache Sequences, 9-38 Chapter 2, Smarandache Determinant Sequences, 39-52 Chapter 3, The Smarandache Function, 53-88 Chapter 4, The Pseudo Smarandache Function, 89-168 Chapter 5, Smarandache Number Related Triangles, 169-192...

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...lear weapons. A constant theme in Wells's work, such as his 1901 nonfiction book Anticipations, was the role of energy and technological advance as a determinant of human progress. The novel opens: The history of mankind is the history of the attainment of external power. Man is the tool-using, fire-making animal. Scientists of the day were well aware that the slow natural...

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...cacies of death in action. Being at hand, I was its main or only agent, the first and sole determinant of its triumph over life. I meticulously doc... ... who will spoil me unconditionally and with whom can I be so open? And if these are not the determinants and dimensions of true love, what are?" T...

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...e and so in non-vector 3d frame (k), as closed sphere (S). 9 The vector determinant projection of S in G is defined as a congruent right conic so...

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... is not necessarily intelligent, unless the intelligences contained are functional determinants of the container. Quantum Mechanics (rather, its Co...

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...e erases all former efforts. Faith,theOnlyAntidoteto Egoism The most important determinant of the perception of pleasure is the thirst for pleasure, w...

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...Z. Xu : Some arithmetical properties of primitive numbers of power p 9 A. Muktibodh : Smarandache Quasigroups 13 M. Le : Two Classes of Smarandache Determinants 20 Y. Shao, X. Zhao and X. Pan : On a Subvariety of + S` 26 T. Kim, C. Adiga and J. Han : A note on q-nanlogue of Sandor's functions 30 Q. Yang : On the mean value of the F. Smarandache simple divisor function...

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...the concept of subbimatrix and some related results. The basic notion of a determinant in case of bimatrices is introduced in section five. Laplace... ...f bimatrices for a while in order to develop some aspects of the theory of determinants which will be needed in our further investigations of the p... ...case of bimatrices We in this section proceed onto define the concept of determinant of a bimatrix and derive some of properties analogous to mat... ...and d 2 are reals may be positive or negative or even zero. ( |A| denotes determinant of A). Example 1.5.1: Let A B = 300 45 211 20 011 ⎡⎤... ...f a bideterminant in case of a n × n square bimatrix nn B12 AAA × =∪. The determinant of an n th order bimatrix A B = (a ij ) ∪ (b ij ) written ... ...olumn j. In fact except for a possible difference in sign (A B ) ij is the determinant of the subbimatrix formed from A B by crossing out row i an... ... (A B ) ij . Let us now determine the sign that should be assigned to the determinant of the subbimatrix obtained by crossing out row i and column... ...e the same as those appearing on the main diagonal of the subbimatrix whose determinant is (A B ) ij . From the above equation, (–1) i + j times th... ... of |A B | must be positive. Therefore (A B ) ij is (–1) i + j times the determinant of the subbimatrix formed from A B by deleting row i and co...

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...mum Reciprocal Representation Function …………………. 178 3.12 Smarandache Determinant Sequence …………………. 179 10 3.13 Expansion of x n in Smaran... ... than the smallest element of the next set. Section 12 Smarandache Determinant Sequences Definition: The Smarandache Cyclic Determinant Na... ...on: The Smarandache Cyclic Determinant Natural Sequence is defined as the determinants of the following sequence of matrices 179 1 ... ... 4 1 2 3 The determinants of the first four matrices are 1, -3, -18, and 160. Thes... ...and common difference d. We will define the Smarandache Cyclic Arithmetic determinant sequence in the following way: a a a+d ... ...first n terms of this sequence. Definition: The Smarandache bisymmetric determinant natural sequence is the determinants of the following sequence... ... 1 where the matrices are symmetric across both main diagonals. The determinants of these matrices are 1, -2, -12, 40, . . . The values ... ...l case is based on similar operations. Generalization: This sequence of determinants can be also be generalized using the elements of an arithmeti... ...+2d a+d a Conjecture: The general term of this sequence of determinants is given by T n = (-1) [n/2] * (a + (n+1)d)*2 n-3 d n-1 ....

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...ed to an increase of around 28% in merchandise trade by APEC economies, had the other determinants of trade not changed. There were significant un... ...e of merchandise trade For each APEC economy, the value of its trade is the principal determinant of the opportunity cost of having merchandise tied... ... stage, the much lower unit values that were assumed as part of Test 1 were the major determinant of the substantial change in the overall result fro...

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...ice - i.e., to pay a premium which translates into capital gains. The fundamental determinant of future income from share holding was replaced by ... ... signal ratios and the like. Other channels are metaphorical and then the relevant determinants would be their effectiveness in conveying content ... ...stment - M Habib, L Zurawicki - Journal of International Business Studies, 2002 Determinants Of, and the Relation Between, Foreign Direct Invest... ...orld War II, economics prowess replaced military power as the crucial geopolitical determinant. The resilience of a country is measured by its infl... ... a partial alteration of the brain causes such sea change (however partial) in the determinants of identity - it seems safe to assume that a replac... ...riant. We are, therefore, able to confidently conclude that the brain is the sole determinant of identity, its seat and signifier. This is because...

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...sfaction of these needs or their frustration early in childhood are as important a determinant as any drive. Society came in through the parental d... ...s to the distribution and relative weights of biological, social, and psychological determinants of gender identity formation. The results of a stu...

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...y cannot underlie an achievement. These are the internal-epistemological-cognitive determinants as they are translated into action. But whether an ... ...ith danger, we move. Coping with danger is one of the defining characteristics and determinants of life: how we cope with danger defines and determ... ...source of danger. Mobile organisms, therefore, resort to changing their space-time determinants as a means towards the end of changing their identi... ...ith a brain injury. If partial damage to the brain causes such a sea change in the determinants of individuality - it seems safe to assume that rep... ...riant. We are, therefore, able to confidently conclude that the brain is the sole determinant of identity, its seat and signifier. This is because... ...that the above criteria lack a quantitative dimension. Yet, without a quantitative determinant they lose their qualifying power. Some kind of formu... ... entry about Marx and Engels and entry concerning Hegel. The economic structure is determinant but another structure could be dominant, depending o... ...production upon which the dominant practice depends. Put otherwise: the economic is determinant not because the practices of the social formation (p... ... signal ratios and the like. Other channels are metaphorical and then the relevant determinants would be their effectiveness in conveying content ...

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...y cannot underlie an achievement. These are the internal-epistemological-cognitive determinants as they are translated into action. But whether an ... ...ith danger, we move. Coping with danger is one of the defining characteristics and determinants of life: how we cope with danger defines and determ... ...source of danger. Mobile organisms, therefore, resort to changing their space-time determinants as a means towards the end of changing their identi... ...ith a brain injury. If partial damage to the brain causes such a sea change in the determinants of individuality - it seems safe to assume that rep... ...riant. We are, therefore, able to confidently conclude that the brain is the sole determinant of identity, its seat and signifier. This is because... ...that the above criteria lack a quantitative dimension. Yet, without a quantitative determinant they lose their qualifying power. Some kind of formu... ... entry about Marx and Engels and entry concerning Hegel. The economic structure is determinant but another structure could be dominant, depending o... ...production upon which the dominant practice depends. Put otherwise: the economic is determinant not because the practices of the social formation (p... ... signal ratios and the like. Other channels are metaphorical and then the relevant determinants would be their effectiveness in conveying content ...

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...c-Nambu-Goto action for the C-space branes directly in terms of theC-space determinant, or measure, of the inducedC-space world-manifold metricG AB , ... ...e brane action is the usual cosmological constant term given by theC-space determinant|E|= det(H AB ) based on the scalar part of the geometric produc... ...E A ) † E B > 0 =H AB S 2 = T 2 Z [DΣ]|E|,(2−2 d ), (47) where the C-space determinant |E|= p |det(H AB )| of the 2 d ×2 d generalized world-manifold ... ...onal group extensions of the Standard Model [85], hyper-matrices and hyper-determinants [88], multi-symplectic mechanics, the de Donde-Weyl formula- t...

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...ncillo, que podría parecer locura. Pero en nuestro espíritu tiene efectos determinantes y eternos. 24/10/2008 20 LA SALVACIÓN ES UN MILAGRO Y UN ...

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...l alteration of the brain causes such sea change (however partial) in the determinants of identity - it seems safe to assume that a replacement of o... ...e are, therefore, able to confidently conclude that the brain is the sole determinant of identity, its seat and signifier. This is because our brain ...

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...es are real. In an empty space the matrices x and y become degenerate (its determinant becomes zero). For this reason spaces of the sub-kind N are deg... ...he frst order approximation of the γ αβ is g αβ =δ αβ −γ αβ , (6.2) so the determinant of the tensorg αβ is g =−(1+γ) , γ =det γ αβ . (6.3) The req... ...the z dependence of the complex Jacobian is no longer explicit because the determinant of the SO(5,2) matrices is unity. This explains very clearly th... ...rix elements w ij =[e i ,e j ], (8) wherew is an antisymmetric matrix with determinant differ- ent from zero. Every antiscalar product between two vec... ...degenerated as of any space of Riemannian space family, namely — there the determinantg= det g αβ of the fundamental metric tensorg αβ is strictly ... ...t be fully degenerated in a Riemannian space ‡ : the condition is that the determinant of the metric fundamental tensorg αβ must be strictly negativeg... ...σ 2 =0 if only the space compresses into point (the senseless case) or the determinant of the metric observable tensor becomes zero h=det h ik =0. ... ..., in real observ- ations where an observer accompanies his references, the determinant of the metric observable tensor is connected with the determina... ... if there is in the space neighbourhood dτ=0 {ds=0,dσ=0}. In this case the determinant of the metric observable tensor becomes h=0, so the space-time ...

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... = [m 1 ⊕ m 2 ] (C) = 0.0001/(1 – 0.0099 – 0.0099 – 0.9801) = 1 i.e. the determinant of implied volatility on long-run options is white noise with 1... ...i% chance that neither (H ∩ M c ) nor (M ∩ H c ) is true/untrue; i.e. the determinant of the true market price is indeterminate. This would fit in ne... ... the celebrated theory of reasoned action (Fishbain, 1979), the immediate determinant of human behavior is the intention to perform (or not to perfo...

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...ximize human welfare. Utility theory includes the ideas of preference and taste as determinants of welfare and these ideas are borrowed from economis... ...gation reviewed later in this chapter is exploratory in nature, seeking to unearth determinants of "social" consumption decisions. IS THERE A "SOCIA... ...earch by Father Andrew Greeley of the University of Chicago, whose work focuses on determinants of acceptance of religion. As these words are being ... ...nt of Science, San Francisco. Levinson, F. J. 1972. " An Economic Analysis of the Determinants of Malnutrition Among Young Children in Rural India....

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... entry about Marx and Engels and entry concerning Hegel. The economic structure is determinant but another structure could be dominant, depending o... ...production upon which the dominant practice depends. Put otherwise: the economic is determinant not because the practices of the social formation (p...

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... virulent and pernicious narratives. But the existence of such a discourse is not a DETERMINANT of pathological narcissism - merely its manifestatio... ...and Habsburg Empires and fought over their spoils. This sempiternal fight is a determinant of Balkan identity. The nations of the Balkan are de... ...ons did occur. The geographical and ethnic community seems to have been a critical determinant of identity even when confronted with an enemy at th...

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... or disposable on short notice. They constitute an inseparable part of a PNS and form a determinant of FEGO. The narcissist assimilates them and ide... ...e, ethnic affiliation, socio- economic stratum, sexual orientation, or any other single determinant does." Relationships with Abusive Narcissists On... ...els at, what he achieves, depends only on his volition. To his mind, there is no other determinant. Hence his rage when confronted with disagreemen...

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... is also a rising trend of portfolio investments among APEC member economies. On the determinants of financial market instability within the four s... ... information on financial markets stability, expert and practitioners’ opinion on the determinants, degree of financial markets stability, and impac... ... information on financial markets stability, expert and practitioners’ opinion on the determinants, degree of Contributing to Efforts for Greater...

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...t the way humans categorize [4]. However, while categorization is an important determinant of human behavior, it is not the only determinant. In ord...

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...with entries from Q (I) such that the matrices are non singular i.e. their determinant is non zero}. Clearly S is a Smarandache neutrosophic semigro... ...hic bisemigroup for G = R (I) \ {0} ∪ {set of all n × n matrix 174 with determinant non zero with entries from R (I)} is a bigroup. Clearly G is ...

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...the result of trying to adapt to a brave new world: new technologies, new determinants of survival, new market mechanisms, the need for a set of com...

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...ed - in what Nichita Stanescu calls a poetics of rupture, since it has two determinants: the two fold expectancy and the inexpressible. And so, in fr...

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... is not necessarily intelligent, unless the intelligences contained are functional determinants of the container. Quantum mechanics (rather, its Co...

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...ice - i.e., to pay a premium which translates into capital gains. The fundamental determinant of future income from share holding was replaced by ...

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...HEOREM [40]: Let R = S [[x 1 , …, x n ]] be a power series ring in the in determinants x 1 , x 2 , …, x n over S and M = 〈 x 1 , …, x n 〉. Let A b...

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... muddles ever blooming so thick in any soil that fails to grow reasons and determinants. No, distinctly not; for I had definitely opened the door, as ... ...f her own, and he had been 83 Henry James feeling the growth of something determinant even through the extravagance of much of the pleasantry, the wa... ...tting up, became, in excited reflexion, a trifle more conscious. Something determinant, when the girl had left her, took place in her—nameless but, as... ...nse that for him too, on Kate’s part, something wonderful and unspoken was determinant; and this although, distinctly, his compan- ion had no more loo... ...ave come to an analysis, to “take.” Something suddenly, as if under a last determinant touch, welled up in him and overflowed—the sense of his good fo...

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...esired. There is always, of course, for the story-teller, the irresistible determinant and the incalculable advan- tage of his interest in the story a... ..., for the fond fabulist, when judicious not less than fond, as his best of determinants. That charm- ing principle is always there, at all events, to ... ...s become then what they call here a fait accompli?”— it had consisted, the determinant touch, in nothing more than that. Well, that was enough, Streth... ...had news from Chad of a communica- tion from Woollett in response to their determinant tele- gram, this missive being addressed to Chad himself and an... ...s, how Chad judged a system of influence in which Waymarsh had served as a determinant—an im- pression just now quickened again; with the whole bear- ...

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... and mathematical instruments, In irony of the under tenants, ignorance Of determinants and the calculus of variations. And anchors, for those who nev...

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...mones and flower induction; vernalisation; the interaction between vernalisation and photoperiod; temperature and photoperiod; flowering stimuli as determinants of species distribution; pollination ; male and female flowers 6. THE FRUIT Flower senescence and fruit set; the growth of the fruit; respiration; the storage of fruit; ripening and abscission. ...

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.................... 83 Wikipedia ................................................................................................................. 86 Determinants of Diversity ........................................................................................ 87 Case Study: Wikipedia .......................................................................................

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...he other because good charac- ter is the indispensable condition and chief determinant of happiness, itself the goal of all human doing. The end of al... ...f at all, within the control of man, but he clearly makes the man positive determinant of man’s happiness he in himself, and more particularly in what... ...finds himself. In such knowledge of given or historic fact lie the natural determinants of his conduct, in such knowledge alone lies the condition of ...

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...ather and his wife awaiting her together in the breakfast room had been so determinant. In this other scene it was Lady Castledean who was determinant... ...ogether since that unforgotten afternoon of the none so distant year, that determinant September Sunday when, sitting with her father in the park, as ...

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...e dryly pursue the analytic part of the task. Both thought and feeling are determinants of con- duct, and the same conduct may be determined ei- ther ...