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It was known to me his setting up in 1980’s of a new literary and artistic avant-garde movement that he called “paradoxism”, because I received some books and papers dealing with it in order to review them for the German journal “Zentralblatt fár Mathematik”. It was an inspired connection he made between literature/arts and science, philosophy....

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Paradoxism is an avant-garde movement in literature, art, philosophy, science, based on excessive used of antitheses, antinomies, contradictions, parables, odds, paradoxes in creations....

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...N 1-879585-76-6 American Research Press Rehoboth 1999, 2000, 2003 FLORENTIN SMARANDACHE A UNIFYING FIELD IN LOGICS: NEUTROSOPHIC LOGIC. NEU... ...-76-6 American Research Press Rehoboth 1999, 2000, 2003 FLORENTIN SMARANDACHE A UNIFYING FIELD IN LOGICS: NEUTROSOPHIC LOGIC. NEUTROSOPHY, ... ...script from the mathematician, experimental writer and innovative painter Florentin Smarandache, especially because the treated subject was of philo... ...m the mathematician, experimental writer and innovative painter Florentin Smarandache, especially because the treated subject was of philosophy - re... ...ables, odds, paradoxes in creations. It was set up and led by the writer Florentin Smarandache since 1980's, who said: "The goal is to enlargement ... ...s, paradoxes in creations. It was set up and led by the writer Florentin Smarandache since 1980's, who said: "The goal is to enlargement of the art... ...s) have been published, plus 3 national and international anthologies." (Florentin Smarandache) 2.4. Features of Paradoxism (by Florentin Smaranda... ...een published, plus 3 national and international anthologies." (Florentin Smarandache) 2.4. Features of Paradoxism (by Florentin Smarandache) # Ba... ...American speech of Tomorrow?)... [From the book: NonPoems, by Florentin Smarandache, Xiquan Publishing House, Phoenix, Chicago, 1991, 1992, 1993; ...

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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-sense creation. Paradoxism started as an anti-totalitarian protest against a closed society, Romania of 1980’s. Why was the movement based on contradictions? Because we lived in that society a double life: an official one – propagated by the political system, and another one real. In mass-media it was promulgated that “our life is wonderful”, but in reality “our life was miserable”. The paradox flourishing! And then we took the creation in derision, in opposite sense, in a syncretic way. Thus the paradoxism was born....

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...itura ALMAROM Râmnicu-Vâlcea, 2004 2 Coperta: Universul II, pictur ă de Florentin Smarandache, din cartea sa „Outer-Art”, vol. II, Editura „Con... ...ROM Râmnicu-Vâlcea, 2004 2 Coperta: Universul II, pictur ă de Florentin Smarandache, din cartea sa „Outer-Art”, vol. II, Editura „Conphys” Râm... ...nphys” Râmnicu-Vâlcea, 2002, p.50. Descrierea CIP a Bibliotecii Na ţionale SMARANDACHE, FLORENTIN FOURTH INTERNATIONAL ANTHOLOGY ON PARADOXISM/ F... ...cu-Vâlcea, 2002, p.50. Descrierea CIP a Bibliotecii Na ţionale SMARANDACHE, FLORENTIN FOURTH INTERNATIONAL ANTHOLOGY ON PARADOXISM/ Florentin Smar... ...RANDACHE, FLORENTIN FOURTH INTERNATIONAL ANTHOLOGY ON PARADOXISM/ Florentin Smarandache – Râmnicu-Vâlcea, ALMAROM, 2004, 296p, 14,8x21cm ISBN ... ...in Smarandache – Râmnicu-Vâlcea, ALMAROM, 2004, 296p, 14,8x21cm ISBN 3 FLORENTIN SMARANDACHE (editor) FOURTH INTERNATION... ...ache – Râmnicu-Vâlcea, ALMAROM, 2004, 296p, 14,8x21cm ISBN 3 FLORENTIN SMARANDACHE (editor) FOURTH INTERNATIONAL ANTHOLO... ...at permits the combination of paradoxist information, has been called Dezert-Smarandache Theory of Plausible and Paradoxical Reasoning for Data Fus... ... 680 Here are entered works on the literary and artistic movement founded by Florentin Smarandache that is based on the excessive use of contradicti...

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It seems that I am an anti-talent to drawings and paitings in a traditional manner. I even disregard this kind of art, wich can easi ly be replaced by mechanical reproduction. Therefore, I gathered nearly a quarter of my "anti-art" art-work done in Turkey, USA (here I got in touch with tbe straight art., in bright basic colors - yellow for the sun, blue for the sky, red for the fire, and black for the night somehow naive, of Navajo, Zuni, Apache, Hopi and Pima Indian tribes), and Mexico, beTWeen 1988 - 2000, in a paradoxist way: - paiting for non-paiting sake - not drawings. but OUf every day's scribblings - paiting overlapping another paiting - found art in the wasting basket of the art - fine ugly an - para-an and contra-an - art without an - scientific an. All of the ahove procedures become, after a period of maybe sbocking time. 'normal' (please read 'traditional') art. Which later would be classified, in their turn as supcrnuated. And again they come back to life wi~h a '"neo" prefix art. because an is cyclic. Let's catch the paradoxism in an - an avante-garde movemcot I set up in 1980's, which is focusing on contradictions (an...

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The experimental digital arts on the front and back covers represent the “World Trade Center Towers before 9/11” and respectively an “Aquatic Monster” done by the cyberartist....

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Science and Art resemble Horace’s concordia discors (discordant harmony) from his “Epistles” and both are built on imagination. Imagination is a quality given a man to compensate him for what he is not, and a sense of humor was provided to console him for what he is (Oscar Wilde). Every great advance in science has issued from a new audacity of imagination (John Dewey). And similarly for the advance in art and letters....

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A book of experimental digital arts.

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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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The book is structured in two parts as follows: - in the first part, the theory of paradoxism through its first six published worldwide manifestos (1983, 1984, 1990, 1998, 2002, and 2010 respectively); - in the second part, the paradoxism collected from the international (English, French, Spanish/Arabic, and Romanian) folklore in images and paradoxist situations. ...

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A) Folkloric Begining. It was in the years 1980’s when the paradoxist movement started. Together with childhood friends (I use their nicknames, since these are more colorfull: Cost, Geonea, Beca, Bigioc, Piciu, Boros, Covrig ăl mijlociu, Cris, Pilă, Chesa, Grasu, Babanu) in the little parks and restaurants of Bălcești – Vâlcea drinking beer and joking. They did not like to read or write!... They all were non-literators {excepting me and Co(n)st(antin) Dincă}. We built a new literary movement without even knowing – in a paradoxical way! We did it by jokes, against-the-grain speech, amusing themselves in that bad time! I had written in Romanian language the volume „Laws of internal composition. Poems with... problems!” (1982) as a preparadoxist volume, published lately. But the First Paradoxist Manifesto in the world of the Paradoxism I published in 1983 in the first edition of my French volume The Sense of the Nonsense (Ed. Artistiques, Fès, Morocco). ...

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To Paradoxismize (Forward): 4 Paradoxism’s Manifestos (1983-2010): 7 • First Paradoxist Manifesto: 8 • Second Paradoxist Manifesto: 11 • Third Paradoxist Manifesto: 15 • Fourth Paradoxist Manifesto: 18 • Fifth Paradoxist Manifesto: 37 • Sixth Paradoxist Manifesto: 51 Worldwide Paradoxist Folklore: 60 All is possible, the impossible too! French Paradoxist Folklore: 86 Les Perles du BAC 2008 [Pearls of 2008 Baccalaureate] Spanish/Arabic Paradoxist Folklore: 127 Ser fuerte... / .. ما†ھي†القوة [To be strong] Romanian Paradoxist Folklore: 141-155 De ce, tată? [Why, father?] ...

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Composed, found, changed, modified, diversified computer-programmed images of stars, galaxies, cosmic dust, black (and other color) holes, comets, spacecrafts, robots and poetry....

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…We simultaneously leave in parallel universes without knowing it… …Our contradictions coexist in a multi-space endowed with a multi-structure…

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COSMOLOGY : pages 4-69 LET’S BIKE THE ART! : pages 70-129

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This is a how-not-to-do book about codification, indexing, information, computer science, peripherals and terminals. The data entries are unselected and stored in a database. Afterwards, they are disorganized, unstructured and then manufactured. A data mudflow is designed later in order to misdirect all information. A nonquality control personnel filters and trashes all high valued documents and restores the chaos in the institution. The book helps with the malfunctioning of an administrative system....

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The illogical mudflow of a quarterly non-production process In looking at the illogical mudflow of a quarterly non-production process, it is very imperative for us to take into account several non-practical factors that take place during such non-production process. These factors include: - Tools under maintenance - Contracts - Transportation - Supply Below is an illustration of the two major phases that are not usually encountered during the execution of a non-production process. ...

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Contents Forward and Backward.........3 Chapter 1 ...................................5 Non-Basic symbols misused in Computer Science .....................5 Unintelligent terminal .........................9 The illogical mudflow of a quarterly non-production process ...............12 Chapter 2 ..................................15 The computer coding misused in Computer Science ...................15 Codification problems ..............................17 Codes misclassification .............................18 Chapter 3 ..................................21 Miscomputing the time for creating an application misusing the mudflow scrambles ........21 Misinformation deregistration and non-identification in files...............27 Chapter 4 ..................................29 Data storage and types of non-peripheral devices .....................29 Representation of Misinformation in internal memory ..............30 External non-peripherals ............................31 Printing paper ................................34 Magnetic band ...............................34 Magnetic disks ...............................35 The non-...

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Author’s imagination of how would look the physical micro-universe using composed, found, changed, modified, alternated, or computer-programmed art works. These images are part of a series of about 100 cyberart creations representing the unimaginable little word of physics particles, anti-particles, un-particles that compose the matter, anti-matter, and un-matter....

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Electronic Art (forward): 4 QUANTUM: 5 …micro-universe images QUANTUM THEORY: 23 …micro-universe images QUANTIZATION: 39 …micro-universe images QUANTUM NUMBERS: 56 …micro-universe images QUANTUM MECHANICS: 72 …micro-universe images GENERALIZATION OF SCHRÖDINGER EQUATION: 88 …micro-universe images...

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This book aims to assist social scientists to analyze their problems using fuzzy models. The basic and essential fuzzy matrix theory is given. The book does not promise to give the complete properties of basic fuzzy theory or basic fuzzy matrices. Instead, the authors have only tried to give those essential basically needed to develop the fuzzy model. The authors do not present elaborate mathematical theories to work with fuzzy matrices; instead they have given only the needed properties by way of examples. The authors feel that the book should mainly help social scientists who are interested in finding out ways to emancipate the society. Everything is kept at the simplest level and even difficult definitions have been omitted. Another main feature of this book is the description of each fuzzy model using examples from real-world problems. Further, this book gives lots of references so that the interested reader can make use of them. This book has two chapters. In Chapter One, basic concepts about fuzzy matrices are introduced. Basic notions of matrices are given in section one in order to make the book self contained. Section two g...

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Preface 4 Dedication 6 Chapter One BASIC MATRIX THEORY AND FUZZY MATRIX THEORY 7 1.1 Basic Matrix Theory 7 1.2 Basic Concepts on Fuzzy Matrices 33 1.3 Basic Concepts on Graphs 47 Chapter Two DESCRIPTION OF SIMPLE FUZZY MODELS AND THEIR APPLICATIONS TO REAL WORLD PROBLEMS 71 2.1 Description of Simple Fuzzy Matrix Model 72 2.2 Definition of Fuzzy Cognitive Maps with real world model representation 146 2.3 Definition and Illustration of Fuzzy Relational Maps 205 2.4 Introduction to Bidirectional Associative Memories (BAM) Model and their Application 238 2.5 Description of Fuzzy Associative Memories (FAM) model and their illustrations 264 2.6 Fuzzy Relational Equations (FRE) and their application 277 REFERENCE 317 INDEX 345 ABOUT THE AUTHORS 352...

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This so-called “globalization” is called on Internet in the following ways: global totalitarianism, neo-totalitarianism, new world order, global fascist order, neo-fascism, today’s new fascism, semi-colonialism, neocolonialism, global cyber hegemony (global control and manipulation of the Internet), global dictatorship, etc. where a few elites from some power countries try to take over the whole globe, which would become a prison planet. These unscrupulous, immoral, corrupted, genocidal, power-hungry elites will exercise an apartheid policy against the whole world, controlling people’s soul through their totalitarian regulation coercions....

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Dark Strategies in Politics. Various ideas, hints, possible methods These ideas are compiled from various readings. They are unethical, immoral, unfair, and devilish. They are unfortunately examples of bad behavior and intentions of some powerful elites and other malignant people. IN CONCLUSION, THIS IS A DO-NOT-DO LIST!... • Corruption, deception, betray to reach your goal; • To take someone’s property; • In nature it doesn’t exist equality, nor liberty; • Real instincts; • Being sincere and honest you loose for sure;...

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Preface: The Wolf Dressed in Sheepskin : 4 Global Totalitarianism and the Working Animals: 6 International Injustice in Science, Arts, and Letters: 23 Dark Strategies in Politics: 29 Extracts from Machiavelli’s leading “Prince”: 52 Extracts from Sun Tzu’s “The Art of War”: 55 ADDENDA: More References on (Anti)Globalization: 63...

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Neutrosophic Physics. Let be a physical entity (i.e. concept, notion, object, space, field, idea, law, property, state, attribute, theorem, theory, etc.), be the opposite of , and be their neutral (i.e. neither nor but in between). Neutrosophic Physics is a mixture of two or three of these entities , , and that hold together. Therefore, we can have neutrosophic fields, and neutrosophic objects, neutrosophic states, etc. Neutrosophic Physics is an extension of Paradoxist Physics, since Paradoxist Physics is a combination of physical contradictories and only that hold together, without referring to their neutrality . Paradoxist Physics describes collections of objects or states that are individually characterized by contradictory properties, or are characterized neither by a property nor by the opposite of that property, or are composed of contradictory sub-elements. Such objects or states are called paradoxist entities. ...

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2. The Gist of the Present Epistemology: The Surjective Qualon “Mere eruditic logic often turns – as has been generically said – philosophy into folly, science into superstition, and art into pedantry. How far away from creation and solitude, from play and imagination, from day and night, from noon and silhouette it is! How Genius is precisely everything other than being merely situational, alone as the Universe.” Herein we present a four-fold asymmetric theory of Reality whose essence – especially when properly, spontaneously understood – goes beyond the internal constitutions and extensive limitations of continental and analytic philosophies, including classical philosophy in its entirety (most notably: Platonism, neo-Platonism, atomism, dualism, and peripatetic traditions), monism (Spinoza-like and others), sophistic relativism and solipsism (which, as we know, has nothing to do with the actuality of the Einsteinian physical theory of relativity), dogmatic empiricism and materialism, Kantianism and neo-Kantianism, Hegelianism and non-Hegelian dialectics (existentialism), Gestalt psychologism, symbolic logic, hermeneutics, an...

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...d Generalization of Reflexive Monism, by Indranu Suhendro … 29 A New Possible Form of Matter, Unmatter – Formed by Particles and Anti-Particles, by Florentin Smarandache … 58 Verifying Unmatter by Experiments, More Types of Unmatter, and A Quantum Chromodynamics Formula, by Florentin Smarandache … 63 Causality in Kaon Oscillations and Decay, by Thomas R. Love … 72 Exa...

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The antiwar of our entire nation is defined as being the army-impeded forces, skirmishing shoulder to shoulder with the civilian population, with the purpose of defeating all non-aggressors, for securing our country’s slavery and dependency. The defeat in this battle is assured through a moral inferiority of our population - the right cause of this antiwar -, the lack of heroism of our state’s citizens, by applying an adequate blundering, using our geographical disadvantages, and the international public humiliation. ...

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The battle and its non-goal. The battle is an ensemble of skirmishes of the subunits and units, which take place in a disorganized manner using armament and fighting techniques, for the expressed desire to enforce the enemy. The battle cannot take place on the ground, in the air, or on the water, in an open paradoxist cooperation with all-military denominations, and using their armament’s procedures with the goal of empowering the non-aggressor enemy. The battle is not the only way for obtaining the miscarriage. The battle’s goal is not the destruction or the capture of enemy’s groups, or the capture and holding on of critical portions of terrain. While in anti-defense, the defeat with fewer forces of the enemy’s superior forces would be done with our old-fashioned technique: ...

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Instruction Notebooks...............................3 Table of Contents .................................4 1 The Non-Tactical Instruction...........................10 Non-Assignment 1. ...............................10 The battle and its non-goal. ...........................12 The principles of non-organizing the battle’s actions. .................13 Non-Assignment 2...............................13 The disorganization principle of the subunits of unpatriotic guards. ............15 The subunits of the other branches of the military, their non-role, and their non-missions. ....15 The non-role and non-missions unsustainable by the other branches of the military. ......16 Not understanding the modern military ......................17 General principles disregarding the non-actions conducted by the subunits of a non-modern military in the inoffensive battles............................18 The anti-defense forms............................20 The non-roles and the non-missions of the fight units. .................20 The non-insurance for battle...........................20 The content of the battle’s non-insurance, its goal...

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The fourth volume, in my book series of “Collected Papers”, includes 100 published and unpublished articles, notes, (preliminary) drafts containing just ideas to be further investigated, scientific souvenirs, scientific blogs, project proposals, small experiments, solved and unsolved problems and conjectures, updated or alternative versions of previous papers, short or long humanistic essays, letters to the editors...

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This short technical paper advocates a bootstrapping algorithm from which we can form a statistically reliable opinion based on limited clinically observed data, regarding whether an osteo-hyperplasia could actually be a case of Ewing’s osteosarcoma. The basic premise underlying our methodology is that a primary bone tumour, if it is indeed Ewing’s osteosarcoma, cannot increase in volume beyond some critical limit without showing metastasis. We propose a statistical method to extrapolate such critical limit to primary tumour volume. Our model does not involve any physiological variables but rather is entirely based on time series observations of increase in primary tumour volume from the point of initial detection to the actual detection of metastases....

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.......................................6 ASTRONOMY..................................14 1. First Lunar Space Base, project proposal, by V. Christianto, Florentin Smarandache..15 2. On Recent Discovery of New Planetoids in the Solar System and Quantization of Celestial System, by V. Christianto, F. Smarandache..................28 3. Open and Solved Elementary Questions in A...

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The fourth volume, in my book series of “Collected Papers”, includes 100 published and unpublished articles, notes, (preliminary) drafts containing just ideas to be further investigated, scientific souvenirs, scientific blogs, project proposals, small experiments, solved and unsolved problems and conjectures, updated or alternative versions of previous papers, short or long humanistic essays, letters to the editors...

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This short technical paper advocates a bootstrapping algorithm from which we can form a statistically reliable opinion based on limited clinically observed data, regarding whether an osteo-hyperplasia could actually be a case of Ewing’s osteosarcoma. The basic premise underlying our methodology is that a primary bone tumour, if it is indeed Ewing’s osteosarcoma, cannot increase in volume beyond some critical limit without showing metastasis. We propose a statistical method to extrapolate such critical limit to primary tumour volume. Our model does not involve any physiological variables but rather is entirely based on time series observations of increase in primary tumour volume from the point of initial detection to the actual detection of metastases....

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.......................................6 ASTRONOMY..................................14 1. First Lunar Space Base, project proposal, by V. Christianto, Florentin Smarandache..15 2. On Recent Discovery of New Planetoids in the Solar System and Quantization of Celestial System, by V. Christianto, F. Smarandache..................28 3. Open and Solved Elementary Questions in A...

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... de antiteze, antinomii, contradicţii, oximorone, parabole, paradoxuri în creaţie. A fost înfiinţat de către scriitorul, artistul, şi omul de ştiinţă Florentin Smarandache în anii 1980 în România, care dorea “lărgirea sferei artistice prin elemente neartistice şi prin experimente contradictorii; în special creaţie în contratimp, contra-sens.” pArAdOxIsM - the last front...

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L) Limitele filozofiei Întreaga filozofie este un tautologism: adevărat în virtutea de formă, pentru că orice idee lansată pentru prima oară este dovedită ca adevărată de către iniţiatorul(ii) său(i). Prin urmare, filozofia este goală sau dezinformativă, şi reprezintă a priori cunoaşterea. Se poate afirma: Totul este adevărat, chiar si falsul! Şi totuşi, întreaga filozofie este un nihilism: pentru ca orice idee, odată dovedită adevărată, este mai tîrziu dovedită ca falsă de către urmaşi. Este o contradicţie: fals în virtute de formă. Prin urmare, filozofia este supra-informativă şi o cunoaştere a posteriori. Astfel, se poate afirma: Totul este fals, chiar şi adevărul!...

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Introducere ............................................................. 5 pARadOXisMul - ultima avangardă a mileniului doi ...................................................... 12 1. Definiţie ............................................................ 12 2. Etimologie ........................................................ 12 3. Istoric ................................................................. 13 4. Caracteristici ale Paradoxismului ................. 16 5. Direcţii pentru Paradoxism ........................... 17 „Dicţionar de informatică“, de Denis Howe .. 18 1. Neutrosofie ....................................................... 18 2. Logica neutrosofică ......................................... 19 3. Mulţime Neutrosofică .................................... 20 4. Probabilitate Neutrosofică ............................. 21 5. Statistici neutrosofice ...................................... 22 Neutrosofia, o Nouă Ramură a Filosofiei ....... 24 1. Abstract ............................................................ 24 1.1. Cuvînt înainte .......................................... 25 1.2. Neutrosofie, o no...

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A journal on Florentin Smarandache's road trip to the western states in America.

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În statul… colorat Pe autostrada I 511 spre localitatea Ignacio. Intrăm în Colorado, statul „plin de culori” (conform adjectivului spaniol colorado/colorada = colorat/colorată). Galben de toamnă, grena, verde şters – pomii. Pompe automate de extras ţiţei. În Ignacio, vizităm galeria de artă „Dancing Spirit”. Drumul de la Durango la Silverton urcă în creierul munţilor. Vârfuri roşii de piatră. Nişte stânci au marginile drepte, de zici că-s tăiate cu cuţitul. Sculpturi naturale. Curcubeie de culori sunt frunzele... parcă un pictor dumnezeiesc a aruncat acuarele. The colorful state ... On Interstate 511 to Ignacio town. Going to Colorado, the "colorful" (according to the Spanish adjective colorado / Colorada = color / color). Yellow autumn, burgundy, green deleted - trees. Automatic pumps extract oil. In Ignacio, visit the art gallery "Dancing Spirit". The road from Durango to Silverton climb the mountains. Red Peaks Stone. Some rocks have straight edges to say that I was cut with a knife. Natural sculptures. Rainbow colors are the leaves ... Like a watercolor painter threw divine. ...

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Cuvânt înainte ............................................................ 7 O nouă recunoaştere internaţională .......................... 7 Fotojurnal În Vestul NeSălbatic ............................ 13 Lacul Navajo şi oraşul argintului ........................... 13 La Caltech, cu nemateria printre fizicieni .............. 23 Muzeul istoric Rex ................................................. 48 Valea Monumentelor din Statul Utah ..................... 52 Monumentul național El Morro .............................. 73 Casa cu păpuşi ........................................................ 80 New Mexico, sud .................................................... 83 Să vezi lupii .......................................................... 103 Deșert și canioane ................................................. 107 În loc de Postfaţă ................................................... 125 Perseverenţă ......................................................... 125 ...

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Chapter 1 first introduces the interval neutrosophic sets which is an instance of neutrosophic sets. In this chapter, the definition of interval neutrosophic sets and set-theoretic operators are given and various properties of interval neutrosophic set are proved. Chapter 2 defines the interval neutrosophic logic based on interval neutrosophic sets including the syntax and semantics of first order interval neutrosophic propositional logic and first order interval neutrosophic predicate logic. The interval neutrosophic logic can reason and model fuzzy, incomplete and inconsistent information. In this chapter, we also design an interval neutrosophic inference system based on first order interval neutrosophic predicate logic. The interval neutrosophic inference system can be applied to decision making. Chapter 3 gives one application of interval neutrosophic sets and logic in the field of relational databases. Neutrosophic data model is the generalization of fuzzy data model and paraconsistent data model. Here, we generalize various set-theoretic and relation-theoretic operations of fuzzy data model to neutrosophic data model. Chapter ...

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The neutrosophic set generalizes the above mentioned sets from philosophical point of view. From scientific or engineering point of view, the neutrosophic set and set-theoretic operators need to be specified. Otherwise, it will be difficult to apply in the real applications. In this chapter, we de_ne the set theoretic operators on an instance of neutrosophic set called Interval Neutrosophic Set (INS). We call it as “interval" because it is subclass of neutrosophic set, that is we only consider the subunitary interval of [0; 1]....

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Preface iii 1 Interval Neutrosophic Sets 1 1.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.2 Neutrosophic Set . . . . . . . . . . . . . . . . . . . . . . . . 4 1.3 Interval Neutrosophic Set . . . . . . . . . . . . . . . . . . . . . 6 1.4 Properties of Set-theoretic Operators . . . . . . . . . . . . . . . . . . 14 1.5 Convexity of Interval Neutrosophic Set . . . . . . . . . . . . . . . . . . 15 1.6 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . 16 1.7 Appendix . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 2 Interval Neutrosophic Logic 21 2.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . 21 2.2 Interval Neutrosophic Propositional Calculus . . . . . . . . . . . . . . . 23 2.2.1 Syntax of Interval Neutrosophic Propositional Calculus . . . . . . . . . 23 2.2.2 Semantics of Interval Neutrosophic Propositional Calculus . . . . . . . . . 24 2.2.3 Proof Theory of Interval Neutrosophic Propositional Calculus . . . . . . . . 25 2.3 Interval Neutrosophic Predicate Calculus . . . . . . . . . . . . . . . . 27 2.3.1 Syntax of Interval Neutrosophic Predicate Cal...

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In this book the authors study the erasure techniques in concatenated Maximum Rank Distance (MRD) codes. The authors for the first time in this book introduce the new notion of concatenation of MRD codes with binary codes, where we take the outer code as the RD code and the binary code as the inner code....

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We want to find efficient algebraic methods to improve the realiability of the transmission of messages. In this chapter we give only simple coding and decoding algorithms which can be easily understood by a beginner. Binary symmetric channel is an illustration of a model for a transmission channel. Now we will proceed onto define a linear code algebraically....

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Preface 5 Chapter One BASIC CONCEPTS 7 Chapter Two ALGEBRAIC LINEAR CODES AND THEIR PROPERTIES 29 Chapter Three ERASURE DECODING OF MAXIMUM RANK DISTANCE CODES 49 3.1 Introduction 49 3.2 Maximum Rank Distance Codes 51 3.3 Erasure Decoding of MRD Codes 54 Chapter Four MRD CODES –SOME PROPERTIES AND A DECODING TECHNIQUE 63 4.1 Introduction 63 4.2 Error-erasure Decoding Techniques to MRD Codes 64 4.3 Invertible q-Cyclic RD Codes 83 4.4 Rank Distance Codes With Complementary Duals 101 4.4.1 MRD Codes With Complementary Duals 103 4.4.2 The 2-User F-Adder Channel 106 4.4.3 Coding for the 2-user F-Adder Channel 107 Chapter Five EFFECTIVE ERASURE CODES FOR RELIABLE COMPUTER COMMUNICATION PROTOCOLS USING CODES OVER ARBITRARY RINGS 111 5.1 Integer Rank Distance Codes 112 5.2 Maximum Integer Rank Distance Codes 114 Chapter Six CONCATENATION OF ALGEBRAIC CODES 129 6.1 Concatenation of Linear Block Codes 129 6.2 Concatenation of RD Codes With CR-Metric 140 FURTHER READING 153 INDEX 157 ABOUT THE AUTHORS 161...

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This book has five chapters. In Chapter I, we give a brief description of the sixteen sutras invented by the Swamiji. Chapter II gives the text of select articles about Vedic Mathematics that appeared in the media. Chapter III recalls some basic notions of some Fuzzy and Neutrosophic models used in this book. This chapter also introduces a fuzzy model to study the problem when we have to handle the opinion of multiexperts. Chapter IV analyses the problem using these models. The final chapter gives the observations made from our study....

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We then remove the common factor if any from each and we find x + 1 staring us in the face i.e. x + 1 is the HCF. Two things are to be noted importantly. (1) We see that often the subsutras are not used under the main sutra for which it is the subsutra or the corollary. This is the main deviation from the usual mathematical principles of theorem (sutra) and corollaries (subsutra). (2) It cannot be easily compromised that a single sutra (a Sanskrit word) can be mathematically interpreted in this manner even by a stalwart in Sanskrit except the Jagadguru Puri Sankaracharya. We wind up the material from the book of Vedic Mathematics and proceed on to give the opinion/views of great personalities on Vedic Mathematics given by Jagadguru. Since the notion of integral and differential calculus was not in vogue in Vedic times, here we do not discuss about the authenticated inventor, further we have not given the adaptation of certain sutras in these fields. Further as most of the educated experts felt that since the Jagadguru had obtained his degree with mathematics as one of the subjects, most of the results given in book on Ve...

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Preface 5 Chapter One INTRODUCTION TO VEDIC MATHEMATICS 9 Chapter Two ANALYSIS OF VEDIC MATHEMATICS BY MATHEMATICIANS AND OTHERS 31 2.1 Views of Prof. S.G.Dani about Vedic Mathematics from Frontline 33 2.2 Neither Vedic Nor Mathematics 50 2.3 Views about the Book in Favour and Against 55 2.4 Vedas: Repositories of Ancient Indian Lore 58 2.5 A Rational Approach to Study Ancient Literature 59 2.6 Shanghai Rankings and Indian Universities 60 2.7 Conclusions derived on Vedic Mathematics and the Calculations of Guru Tirthaji - Secrets of Ancient Maths 61 Chapter Three INTRODUCTION TO BASIC CONCEPTS AND A NEW FUZZY MODEL 65 3.1 Introduction to FCM and the Working of this Model 65 3.2 Definition and Illustration of Fuzzy Relational Maps (FRMS) 72 3.3 Definition of the New Fuzzy Dynamical System 77 3.4 Neutrosophic Cognitive Maps with Examples 78 3.5 Description of Neutrosophic Relational Maps 87 3.6 Description of the new Fuzzy Neutrosophic model 92 Chapter Four MATHEMATICAL ANALYSIS OF THE VIEWS ABOUT VEDIC MATHEMATICS USING FUZZY MODELS 95 4.1 Views of students about the use of Vedic Mathematics in their c...

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We have used the 2-adaptive fuzzy model having the two fuzzy models, fuzzy matrices model and BAMs viz. model to analyze the views of public about HIV/ AIDS disease, patient and the awareness program. This book has five chapters and 6 appendices. The first chapter just recalls the definition of four fuzzy models used in this book and gives illustration of some of them. Chapter two introduces the new n-adaptive fuzzy models. Chapter three uses for the first time 2 adaptive fuzzy models to study psychological and sociological problems about HIV/AIDS. Chapter four gives an outline of the interviews. Chapter five gives the suggestions and conclusion based on our study. Of the 6 appendices four of them are C-program made to make the working of the fuzzy model simple....

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In this chapter for the first time we introduce the new class of n-adaptive fuzzy models (n a positive integer and n ≥ 2) and illustrate it. These n-adaptive fuzzy models can analyze a problem using different models so one can get in one case the hidden pattern, in one case the maximum time period in some case output state vector for a given input vector and so on. So this new model has the capacity to analyze the problem in different angles, which can give multiple suggestions and solutions about the problem. This chapter has two sections. Section one defines the new model gives illustrations and section two defines some special n-adaptive models and proposes some problems....

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Chapter One SOME BASIC FUZZY MODELS WITH ILLUSTRATIONS 1.1 Fuzzy matrices and their applications 9 1.2 Definition and illustration of Fuzzy Relational Maps (FRMs) 16 1.3 Some basic concepts of BAM with illustration 20 1.3.1 Some basic concepts of BAM 22 1.3.2 Use of BAM Model to study the cause of vulnerability to HIV/AIDS and factors for migration 28 1.4 Introduction to Fuzzy Associative Memories (FAM) 35 Chapter Two ON A NEW CLASS OF N-ADAPTIVE FUZZY MODELS WITH ILLUSTRATIONS 2.1 On a new class of n-adaptive fuzzy models with illustrations 39 2.2 Some special n-adaptive models 49 Chapter Three USE OF 2-ADAPTIVE FUZZY MODEL TO ANALYZE THE PUBLIC AWARENESS OF HIV/AIDS 3.1 Study of the psychological and social problems the public have about HIV/AIDS patients using CETD matrix 52 3.2 Use of 2 adaptive fuzzy model to analyze the problem 72 Chapter Four PUBLIC ATTITUDE AND AWARENESS ABOUT HIV/AIDS 4.1 Introduction 77 4.2 Interviews 81 Chapter Five CONCLUSIONS 167 Appendix 1. Questionnaire 177 2. Table of Statistics 191 3. C-program for CETD and RTD Matrix 198 4. C-program for FRM 202 5. C-program for CFRM 2...

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The new concept of fuzzy interval matrices has been introduced in this book for the first time. The authors have not only introduced the notion of fuzzy interval matrices, interval neutrosophic matrices and fuzzy neutrosophic interval matrices but have also demonstrated some of its applications when the data under study is an unsupervised one and when several experts analyze the problem....

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1.2 Definition of Fuzzy Cognitive Maps In this section we recall the notion of Fuzzy Cognitive Maps (FCMs), which was introduced by Bart Kosko in the year 1986. We also give several of its interrelated definitions. FCMs have a major role to play mainly when the data concerned is an unsupervised one. Further this method is most simple and an effective one as it can analyse the data by directed graphs and connection matrices. DEFINITION 1.2.1: An FCM is a directed graph with concepts like policies, events etc. as nodes and causalities as edges. It represents causal relationship between concepts. Example 1.2.1: In Tamil Nadu (a southern state in India) in the last decade several new engineering colleges have been approved and started. The resultant increase in the production of engineering graduates in these years is disproportionate with the need of engineering graduates. ...

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Dedication 5 Preface 6 Chapter One BASIC CONCEPTS 1.1 Definition of Interval Matrices and Examples 8 1.2 Definition of Fuzzy Cognitive Maps 9 1.3 An Introduction to Neutrosophy 13 1.4 Some Basic Neutrosophic Structures 16 1.5 Some Basic Notions about Neutrosophic Graphs 22 1.6 On Neutrosophic Cognitive Maps with Examples 28 1.7 Definition and Illustration of Fuzzy Relational Maps (FRMs) 33 1.8 Introduction to Fuzzy Associative Memories 40 1.9 Some Basic Concepts of BAM 43 1.10 Properties of Fuzzy Relations and FREs 49 1.11 Binary Neutrosophic Relations and their Properties 56 Chapter Two INTRODUCTION TO FUZZY INTERVAL MATRICES AND NEUTROSOPHIC INTERVAL MATRICES AND THEIR GENERALIZATIONS 2.1 Fuzzy Interval Matrices 68 2.2 Interval Bimatrices and their Generalizations 76 2.3 Neutrosophic Interval Matrices and their Generalizations 92 Chapter Three FUZZY MODELS AND NEUTROSOPHIC MODELS USING FUZZY INTERVAL MATRICES AND NEUTROSOPHIC INTERVAL MATRICES 3.1 Description of FCIMs Model 118 3.2 Description and Illustration of FRIM Model 129 3.3 Description of FCIBM model and its Generalization 139 3.4 FRIBM model and i...

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Applications demonstrate the power of the DSmT framework. In this third Volume, DSmT is applied to the entire spectrum of the Information Fusion that would interest any reader in data, sensor, information, and mathematical fusion topics. Highlighted in Figure 1 are the contemporary issues that include the links between (1) data conditioning and information management, (2) combined situation and impact assessment, and (2) knowledge representation between machine processing and user coordination. Various applications leverage DSmT “Advances” listed above along with DSmH (hybrid), DSmP (Probabilistic), and DSmT theoretical insights. The third volume attacks these application issues of coordination between the “levels” of information fusion....

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...Part I Advances on DSmT 1 Chapter 1 An introduction to DSmT 3 by J. Dezert and F. Smarandache 1.1 Introduction . . . . . . . . . . 4 1.2 Foundations of DSmT . . . . . . . . . 4 1.2.1 The power set, hyper-power set and super-power set . . 6 1.2.2 Notion of free and hybrid DSm models . . . . 18 1.2.3 Ge...

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...This second book devoted on advances and applications of Dezert-Smarandache Theory (DSmT) for information fusion collects recent papers from different researchers working in engineering and mathematics. Part 1 of this book presents the current state-of-the-art on theoretical investigation...

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...Preamble iii Prefaces v Part I Advances on DSmT 1 Chapter 1 Proportional Conflict Redistribution Rules for Information Fusion 3 by Florentin Smarandache and Jean Dezert 1.1 Introduction . . . . . . . . . . . 3 1.2 The principal rules of combination . . . . . . . 6 1.2.1 Notion of total and partial conflicting masses . . . . . 6 1.2.2 The conjunctive ...

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...n the information provided by the sources is both uncertain and (highly) conflicting. This approach, known in literature as DSmT (standing for Dezert-Smarandache Theory), proposes new useful rules of combinations. We gathered in this volume a presentation of DSmT from the beginning to the latest development. Part 1 of this book presents the current state-of-the-art on theo...

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...57 8.2.1 Preliminary: about probability . . . 157 8.2.2 Dempster Shafer Theory . . . . 161 8.2.3 Transferable Belief Model . . . . 162 8.3 Dezert Smarandache Theory (DSmT) . . . 163 8.3.1 Dezert Smarandache model . . . . 164 8.3.2 Fusion rule . . . . . 166 8.4 Probability over logical propositions . . . . 167 8.4.1 Definition . . . . . 167 8.4.2 Property . . . . ....