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...tre is a normal subloop. The commutant is also known as Moufang Centre in literature. DEFINITION [39]: A left loop (B, •) is a set B together with...

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...and study of group semirings and semigroup semirings which are not found in literature except one or two papers that have been done by the author in... ...f special elements in Smarandache semirings (S-semirings). Using the recent literature of semirings corresponding S-semirings are defined and analys... ... it with examples. Further even the notion of the semirings is not found in literature in the form of specialized text books so we felt it essential ...

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...im of this book is two fold. At the outset the book gives most of the available literature about Fuzzy Relational Equations (FREs) and its propertie... ...mprehensive bibliography, we do not promise to give all the possible available literature about FRE and its applications. We have given only those ... ...rdering is usually called a linear ordering, some alternative names used in the literature are total ordering, simple ordering and complete ordering... ...rators handling the constrained optimization problems have been proposed in the literature [38, 41, 61, 65], they are all designed for the convex pr... ...nt a “three-point crossover operator. Unlike most of the crossover found in the literature [4, 10, 12, 18, 38, 41, 61, 65, 111], the three-point cro... ...e, a deeper semantic and epistemological difference, on which there is a large literature, of which Zadeh [115, 116] are particularly illuminating. ... ... He published over 60 books and 80 papers and notes in mathematics, philosophy, literature, rebus. In mathematics his research papers are in number ...

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...especially Smarandache rings (S-rings) as we cannot find much about it in literature. Further we define non- associative rings and Smarandache non-as... ... a Smarandache pseudo module (S- pseudo module) related to B. For more literature please refer [120]. 26 DEFINITION 1.4.29: Let R be a ring,... ...o group rings and semigroup rings. Such study is very meager in near-ring literature. We call a group near-ring NG of a semigroup S over the near-... ...dache bivector spaces, the reader has a good background of them. For more literature about vector spaces please refer [27, 44, 49, 119] and for the ... ...group then G contains a bigroup. Study of S-bigroups is very new as in literature we do not have the concept of Smarandache groups we have only t... ...ebraic structures and as there is no solid Smarandache category theory in literature we restrict ourselves only to the case of pure algebraic treatme... ...date introduced or studied this concept so we may not be able to give any literature in this direction but leave it for the reader to develop notion... ...is itself very new so the concept is non-associative birings is absent in literature. Here we define loop birings, groupoid birings and finally the ... ... [117, 118]. So the notion of binear- rings does not find its place in any literature. Here we define binear-rings, biseminear- rings and introduce se...

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...published over 60 books and 80 papers and notes in mathematics, philosophy, literature, rebus. In mathematics his research papers are in number theo...

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...published over 73 books and 90 papers and notes in mathematics, philosophy, literature, rebus. In mathematics his research papers are in number theo...

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...In 1980's a new movement of avant-garde arised in literature, art philosophy and science. This is based on an excessive use of antinomies. antitheses. contradictions, oxymorons, paradoxes in the creative work at both small level and global level of the creative work. The goa...

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...ENNIUM A) Definition: PARADOXISM is an avant-garde movement in literature, art, philosophy, science, based on excessive used of antithes... ...tions counted. We couldn’t publish almost anything. Then, I said: Let’s do literature… without doing literature! Let’s write… without actually writin... ...ature! Let’s write… without actually writing anything. How? Simply: object literature! “The flying of a bird”, for example, represents a “natural po... ...ted in the country. I started from politic, social, and immediately got to literature, art, philosophy, even science. Through experiments one brings ... ..., antagonism, non-conformism, the paradoxes in other words of anything (in literature, art, science), while futurism, cubism, surrealism, abstractism... ... the tyranny of the classic and its dogma. I allowed any boldness: - anti-literature and its literature; - flexible forms fixed, or the alive face ... ...onaries or enciclopedias) - poems wich exist by their absence; - after-war literature: pages and pages bombed by filthiness, triteness, and non- poet... ... transformation of the abnormal to the normal; - pro Non-Art Art; - make literature from nothing! The poet is not a prince of ducks! The notion of... ... possible, the impossible too!”), F. Smarandache initiated “paradoxism” in literature, art, and philosophy in the 1980s. Its main thesis is: “The Se...

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...The aim of this book is two fold. At the outset the book gives most of the available literature about Fuzzy Relational Equations (FREs) and its properties for there is no book that solely caters to FREs and its applications. Though we have a comprehensive bibliography, we do not promise to give all the possib...

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...im of this book is two fold. At the outset the book gives most of the available literature about Fuzzy Relational Equations (FREs) and its propertie... ...mprehensive bibliography, we do not promise to give all the possible available literature about FRE and its applications. We have given only those ... ...rdering is usually called a linear ordering, some alternative names used in the literature are total ordering, simple ordering and complete ordering... ...rators handling the constrained optimization problems have been proposed in the literature [38, 41, 61, 65], they are all designed for the convex pr... ...nt a “three-point crossover operator. Unlike most of the crossover found in the literature [4, 10, 12, 18, 38, 41, 61, 65, 111], the three-point cro... ...e, a deeper semantic and epistemological difference, on which there is a large literature, of which Zadeh [115, 116] are particularly illuminating. ... ... He published over 60 books and 80 papers and notes in mathematics, philosophy, literature, rebus. In mathematics his research papers are in number ...

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...led in New Mexico creates further on important works in the two large fields- literatures and mathematics (but also in other art and scientific field... ...laced by postmodernism. When he has found out the possibility to transfer in literature the paradoxes from mathematics and daily life, Smarandache ... ...e. The subsequent development of the paradoxism: To generalize the literature in scientific spaces ( Lobacevski, Riemann, Banach etc.), ... ...ses, antagonism, nonconformism, the paradoxes in other words of anything ( in literature, art, science), while futurism, cubism, abstractism and all... ...ure, existing at other avant-gardes too, for “the recovery of the essence (of literature, n.n.) through an absence”, as Adrian Marino said 5) . Bet... ...solete “classicists” that are not able to surpass the traditional patterns of literature and to understand its evolution, whence the lack of “adhere... ...Japan) and analyses the paradox in science (especially in mathematics) and in literature. Returning to literature, Florin Vasiliu seems to reveal in ... ... book, with an elevated and adequate language, used by an aesthetician of the literature, recalls the other paradoxism’s exegete - the literary crit... ...t was inevitably that that tension leading to the creation of another kind of literature “ resulted from the clash of opposite semantic fields”(C. M....

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...0. 16. Smarandache, Florentin. Cultural Tour to Brazil on "Paradoxism in Literature and Science": "Is There a Speed Barrier?", Universidade de Bl... ... de Blumenau, Brazil, May-June 1993, in a Tour Conference on "Paradoxism in Literature and Science"; and at the University of Kishinev, in a Scienti...

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...tructures in groupoid rings. Study of groupoid rings is totally absent in literature, so the study of Smarandache substructures in groupoid rings se... ...∈ I implies x ∈ I or y ∈ I. The study of groupoid rings in mathematical literature is completely absent so the study of these ideals S-ideals, pse... ...ed us. We leave it for the reader to refer books on Lie algebras for more literature. DEFINITION 4.1.1: A real Lie algebra L is a vector space ove... ... chapter several other recently discovered non-associative rings found in literature are given for the reader to make proper Smarandache developments...

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...or casteist religion Our government - Protector of casteist government Our literature - Protector of casteist literature Our language - Protec... ...age What has our language done to destroy or demolish caste? What has our literature done to destroy or demolish caste? They called rationalism ... ... Madras, (1981). 4. Arunachalam, M., An Introduction to the History of Tamil Literature, Gandhi Vidyalayam, (1974). 5. Balasubramaniam, K.M., Periy... ...zhagam, Chennai, (2003). 68. Vaiyapuri Pillai, History of Tamil Language and Literature, Madras, (1956). 69. Vasantha Kandasamy, W.B., Love, Life, ... ...s and 100 articles and notes in mathematics, physics, philosophy, psychology, literature, rebus. In mathematics his research is in number theory, n... ...iversity of Madras till recently. He holds postgraduate M.A. degrees in Tamil Literature, Political Science, Saiva Siddhanta, Defence Studies, Educa...

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... present here an arithmetical solution. Unfortunately, there appear in the literature sometimes incomplete or wrong arithmetic solutions (see e.g. [2]... ...gives immediately inequality (31). Remark. We note that there exist in the literature a number of congruence properties of the function ’. E.g. it is ... ... as there are many nations of higher-order multiplicative functions in the literature (see e.g. [2]). Let (x;y) denote the g.c.d. of x and y. A functi...

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...s. Even [19] has studied about it. But the notion of fuzzy bisemirings in literature is totally absent. This concept is defined only in this book. J... ...-ring module are recalled in this section. For more about fuzzy near-ring literature please refer [28, 38, 56, 57, 71, 122, 130]. DEFINITION [71... ...is itself very new so the notion is fuzzy bigroupoid is totally absent in literature. Here we define fuzzy bigroupoid and recall just the definition... ...go for the concept of fuzzy groups; as Smarandache groups do not exist in literature we get almost all properties of groups to be present in Smarand...

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...s and 100 articles and notes in mathematics, physics, philosophy, psychology, literature, rebus. In mathematics his research is in number theory, n...

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...Paradoxism is an avant-garde movement in literature, art, philosophy, science, based on excessive use of antitheses, antinomies, contradictions, parables, odds, paradoxes in creations. It was set up by the editor since 1980’s and promulgates a counter-time/ counter-...

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...NCE AT INTERNATIONAL CONFERENCES pARadOXisM is an avant-garde movement in literature, art, philosophy, science, based on excessive use of antithe... ... was inevitably that the tension leading to the creation of another kind of literature “resulted from the clash of opposite semantic fields” (C. M....

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...d page making of the book was intact and Meena who collected the existing literature. W.B. VASANTHA KANDASAMY FLORENTIN SMARANDACHE 7 Chapte... ...ntial game mechanism. 3. Time variable, which has been neglected in the literature about conventional strategic planning simulation, can be effect... ...NOT INTIMATE Announcement, Response, Request, Chat, Thank You, Complaint, Literature, Social Event, Apology, Humor, Meeting, FYI FIGURE: 1.4.2 66... ...etabolic relationships are established by a domain expert, the biological literature, and extracted from RNA microarray data. This work is part of t... ...ecessary basics. If these basics are insufficient, look through the fuzzy literature for papers on the subject by Kosko and Rod Taber. Kosko also cov... ...stry but appropriate to service industry. 4. Models as described in the literature make the implicit assumption that they exist outside time. It i... ...10 relationships which were extracted after thorough analysis of the SISP literature, i.e. case studies and theoretical frameworks and consideration... ...nacy of a path connecting two vertices was never in vogue in mathematical literature. This section gives introduction to basic neutrosophic graphs. ... ...impairment and we have discussed it in brief in Section 1.4.11. For entire literature in this direction please refer [37]. Now in this study if we us...

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...the Sperner systems [65, 37] based on finite poset (called also as antichains in literature) [8]. The number of antichains on the set are equal to the... ...portunities or alternatives. This logic was intended to bridge the gap between literature/arts and science, so is already in the same area as we are ...

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...group then G contains a bigroup. Study of S-bigroups is very new as in literature we do not have the concept of Smarandache groups we have only ... ...ublished over 70 books and 90 papers and notes in mathematics, philosophy, literature, rebus. In mathematics his research papers are in number theor...

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...-urban migration. In this book, we skip doing an exhaustive review of the literature on the said topic. We like to point out that most of the mathem... ...mory or BAM is a non adaptive additive bivalent neural network. In neural literature the discrete version of the equation (3.1) and (3.2) are often ... ...blished over 60 books and 80 papers and notes in mathematics, philosophy, literature, rebus. In mathematics his research papers are in number theory...

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...e Blumenau, Brazil, May-June 1993, in a Tour Conference on "Paradoxism in Literature and Science"; and at the University of Kishinev, in a Scientifi... ... [14] Smarandache, Florentin. Cultural Tour to Brazil on "Paradoxism in Literature and Science": "Is There a Speed Barrier?", Universidade de Blum... ... co-author and editor of 70 books and 90 papers in mathematics, physics, literature, philosophy. In November 2004 he was invited to lecture at NAS...