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...This book consists of a selection of papers most of which were produced during the period 1999-2002. They have been inspired by questions raised in recent articles in current Mathematics journals and in Florentin Smarandache’s wellknown publication ...

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...ates of America 3 Preface This book consists of a selection of papers most of which were produced during the period 1999-...

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...In each interaction (generation), based on their performance (fitness) and some selection criteria, the relatively good solutions are retained and t... ...y generated off springs. An evaluation criterion (objective) usually guides the selection. In the past few years, several methods were proposed to ... ...he design of FLC may include: the definition of input and output variables, the selection data manipulation method, the membership functions design ...

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......10 Jenna Boyle ?Last Night? .......................................................................................12 Kate F. Van Schaick (Judge?s Selection for Best Poem) ?Ruskie? ............................. 14 Michael Riedl ?Little Round Top, Since July 1863? ................................................16 Nancy Nottingham ?In Pursuit of Scholarship? ...............

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...ints we can’t have equality. As a rst application of (17), let P O. This selection gives T 3 p 3 4 R 2 : (18) For other proofs, see [2], p.107. Thi... ...ous inequalities b PB a PA +c PC; c PC a PA +b PB: 33 For various selections of the point P one can obtain various inequalities between the e... ...ined. The set of solutions, however is much wider, as can be seen by other selections of u and v. 60 Bibliography 1. G.H. Hardy, E.M. Wright, An intr... ... +n(n +q), where jm(n +q) n(n +p)j = 1. We thus obtained a contradiction (selectiong a = m, b = n, c =m +p, d =n +q). For other connections of this e... ...1079. 6. A. Mossner, Scripta Math. 4(1936), p.105. 85 7. W. Sierpinski, A selection of problems in the theory of numbers, Pergamon Press, 1964. 86 1... ...y = c z , Acta Arithmetica, XCI(1999), No.1, pp.85-93. 4. W. Sierpinski, A selection of problems in the theory of numbers, Pergamon Press, 1964. 90 1... ... is an integer. On the other hand, by (iii) we have v > 0. By (ii) and the selection of n, one has v< n 2 n + 1 n + 1 n 2 +::: = n 2 n + 1 n 1 < 1;...

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...urierul”, Cluj- Napoca, 5th year, no 230/1999). The “secret” of criterion for selection is hidden precisely in volume’s title: many from the include...

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......10 Jenna Boyle ?Last Night? .......................................................................................12 Kate F. Van Schaick (Judge?s Selection for Best Poem) ?Ruskie? ............................. 14 Michael Riedl ?Little Round Top, Since July 1863? ................................................16 Nancy Nottingham ?In Pursuit of Scholarship? ...............

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...A collection of short nonfiction works in the public domain. The selections included in this collection were independently chosen by the readers, and the topics encompass history, travel, embroidery, science, mathematics, humor, philosophy, poliltics, and nature. (summary by J. M. Smallhee...

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...A selection of Samuel Taylor Coleridge's essential poems. Samuel Taylor Coleridge (1772–1834) was an English poet, critic, and philosopher. His Lyrical Ballads, published in 1798 with co-author William Wordsworth, marked the be...

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...cal importance in determining the size of the tracking error. The correct selection of these portfolio weights will ensure that the replicating port... ... previous generation will be reproduced based on the principal of natural selection. Following the reproduction function, 2(x – 1) number of additio... ... of chromosomes included in the mating pool through the process of natural selection. Every g th chromosome in the mating pool is crossed with the (... ...placed over time by better constructs through a simple process of natural selection. However we are optimistic that our work will merit its own hum...

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...smarand@unm.edu, http://www.gallup.unm.edu/~smarandache/FirstNeutConf.htm. A selection of them is being published in these Proceedings of the Conf... ... elements in their design and implementation”. They simulate, via processes of selection, mutation, and reproduction, the evolution of individual st... ...he truth, is determined by the divine laws of dissociation, purification (the selection and the erasing of the seals) and those of monadic recompos... ...ks [15] Kauffman, Stuart. (1993). The Origins of Order - Self-Organization and Selection in Evolution. OUP. [16] Koestler, Arthur. (1967). The Ghos...

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...ents in their design and implementation”. They simulate, via processes of selection, mutation, and reproduction, the evolution of individual structu... ...be defined in unaccountably infinite different ways. The good operatorial selection would lead to applications in neural networks, automated reasoni...

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... the other hand, the introduction of a bivector into an equation implies a selection of a preferred orientation in spacetime; i. e. the choice of the ...

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...ic data about the sample we have chosen for this study. The 60 men in our selection were not highly affluent or surrounded by the plushness of rich-...

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...ook here was found on shelves of libraries in Canada or archived in regional library facilities. The books were carefully scanned from originals. The selection process was based on the popularity, rareness, and need to preserve brittle books. All the scanned books have been converted and digitally re-mastered for online access. 2. Search Engine MIA: The World Public...

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...alization of the Theorem of Menelaus Using a Self-Recurrent Method, by F. Smarandache, translated from French by the author, Seminar in Rabat for the selection and preparation of the Moroccan students for the International Olympiad of Mathematics in Paris - France, 1983 ..........................223 29. The Dual Theorem Relative to the Simson’s Line, by Prof. Ion P_tra_cu...

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...alization of the Theorem of Menelaus Using a Self-Recurrent Method, by F. Smarandache, translated from French by the author, Seminar in Rabat for the selection and preparation of the Moroccan students for the International Olympiad of Mathematics in Paris - France, 1983 ..........................223 29. The Dual Theorem Relative to the Simson’s Line, by Prof. Ion P_tra_cu...

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...its center. CHARLES R. DARWIN (1809-1882) English Naturalist 51 Proponent of the theory of evolution. The Origin of Species by Means of Natural Selection. THE SECOND GENERATION IN SCIENTIFIC DEVELOPMENT 53 IN THE PHYSICAL, CHEMICAL AND MATHEMATICAL SCIENCES 53 GALILEO GALILEI (1564-1642) Italian Astronomer and Physicist 53 One of the Founders of Modern Science a...

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...n of a concentric arrangement, its light falling with an exclusive optical selection. These things are a parable. The scratches are events, and the ca... ...epochs of our own history, and make a part of that unity which lies in the selection of our keenest consciousness. The dream like association of somet... ..., and as we go on I shall be able to indicate to you certain principles of selection whereby you will, I trust, have an intelligent participation in m... ...ld gladly see it completed. But you observe that the principle on which my selection is made, is to give adequate, and not dispro portionate illustra... ...rting rallying tone with which he spoke to Bulstrode, there was an evident selection of statements, as if they had been so many moves at chess. Meanwh... ...arly worth while for Rosamond to take pains with her music and the careful selection of her lace. As to Captain Lydgate himself, his low brow, his aqu... ...be lived through slowly from hour to hour, not floated through with a rapid selection of favorable aspects. The habits of Lydgate’s profession, his hom...

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...rdnance, a whole consignment; but no informing taste had presided over the selection, there was no smack or relish in the in- voice; and these riches ... .... The art of narrative, in fact, is the same, whether it is applied to the selection and illustration of a real series of events or of an imaginary se...

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...us by the very nature of the medium, the proper method of literature is by selection, which is a kind of negative exaggeration. It is the right of the...