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– 19. decembrie 2004 – Hai în India! Lilia topaie de bucurie. Drumul pâna la aeroport e strangulat, lânga Los Lunas, de un accident... un truck are cabina turtita, vreo 4-5 masini de politie cu becurile semnalând, un elicopter învârtindu-se pe deasupra... Masini puzderie, camioane pe 2-3 mile oprite... Începem sa ne agitam... Pierdem avionul... De când cu teroristii si controalele astea nebune, trebuie sa fii cu doua ore înainte de plecare. Ne descalta,...

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...0 250 732522 CUPRINS Descrierea CIP a Bibliotecii Na ţionale a României SMARANDACHE, FLORENTIN India magic ă (note de c ăl ătorie) / Florentin ... ... CUPRINS Descrierea CIP a Bibliotecii Na ţionale a României SMARANDACHE, FLORENTIN India magic ă (note de c ăl ătorie) / Florentin Smarandache ... ...ia la Bond University, folosind şi logica neutrosofic ă plus Teoria Dezert-Smarandache în teza sa de doctorat. Acum alma mater a sa ne invit ă s ă ... ...am ţinut o comunicare de-o or ă despre logica neutrosfic ă şi Teoria Dezert-Smarandache, iar Sukanto Bhattacharya a prezentat aplica ţiile lor în bu... ...i- am dorit de mult s-o v ăd...” şi asta a pl ăcut studen ţilor, am Florentin Smarandache într-o conferin ţă 21 sim ţit dup ă murmurul lo... ...it de mult s-o v ăd...” şi asta a pl ăcut studen ţilor, am Florentin Smarandache într-o conferin ţă 21 sim ţit dup ă murmurul lor. Între... ...ă dr. W. B. Vasantha Kandasamy – colaboratoarea mea la structuri algebrice Smarandache, plus neutrosofice - are trei anotimpuri: cald, mai cald, şi... ... ă în Chennay. 350 de limbi, 300 de triburi, 2.000 de dialecte! „Florentin Smarandache” în bengalez ă: şi în hindi: ... ...oni, lung ă pân ă la genunchi, ca un sac tras pe cap). Florentin Smarandache – hindusul 25 Târguim în complexul Swabhumi...

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Paradoksisticki Dvostih je saCinjen od dva suprotstavljena stiha koji se sjedinjuju u celinu, definisuci (iii cineci vezu) sa naslovom Po pravilu, drugi stih negira prvi sadrzavajuci pojam sintagmu), suprotnu ideju (antinomsku, antagonisticku)...

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iii recnik antonima i recnik sinonima, pa pravite egzibicije po pojmovima (sintagmama) protivrecnim izrazima, homogenizujuci heterogene elemente; birajte odgovarajuce naslove i udite u paradoksizam....

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...Mi-a sosit, de curand, cu po~ta aeriana, 0 carte din Amcrica. Era expcdiata de Florentin Smarandache, din Phoenix. Arizona. un valcean de-al nostru din Balce~ti, fugit Inainte de revolutic prin Turcia ~i "aclimatizat" In Statele Unite. Cinc e Florentin Smarandache: profesor de matematica, aut or a pe...

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În mai 1997 treceam prima data Nistrul, mergând în vizita la Odesa. Eram curios Õi atent la vorbirea basarabenilor, în trenul care ma purta de la ChiÕinau, iar în jurnal îmi notam expresii tipice, din partea locului. Lilia îmi traducea din rusa - când era cazul. Mai târziu, în vara anului 2000, aveam sa cunosc Tighina Õi câteva localitaÛi din jurul Corotnei. Domnul Pavel m-a plimbat cu maÕina prin Nezavertailovka, Krasnoe, oraÕelul Dnestrovsk, Õi centrul raional Slobozia. Am târguit în Tiraspol, unde Andreica - fratele Liliei - era student la Facultatea de Geografie, în grupa moldoveneasca. Corotna este un sat moldovenesc, înconjurat de aÕezari ucraineÕti Õi ruseÕti, iar Turunciucul, un braÛ al Nistrului, trece pe la marginea satului. Oamenii locului pastreaza dulcea limba româneasca Õi aici, în Transnistria. Am selectat Õi prelucrat o parte dintre aceste poezii melancolice, de jale, de parasire, bucolice de la Svetlana Garabaji, profesoara - Õi ea - de matematica (!) la Ôcoala Româneasca din Corotna. M-am gândit atunci sa public aceste giuvaieruri de versuri idilice, folclorice: fabule moralizatoare, imnuri, cântece, poezii pentru ...

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...IEREA CIP A BIBLIOTECII NA ŢIONALE ULTRAPOLEMICI cu LiTeRe mari ÕI MICI / Smarandache Florentin / R >mnicu V >lcea: Offsercolor, 2002 129 p.; 20 c... ...BIBLIOTECII NA ŢIONALE ULTRAPOLEMICI cu LiTeRe mari ÕI MICI / Smarandache Florentin / R >mnicu V >lcea: Offsercolor, 2002 129 p.; 20 cm. Bibliogr... ... Tehnoredactare computerizat ă: Ion CIOBANU şi Bogdan COSCARU 3 Florentin SMARANDACHE ULTRAPOLEMICI cu LiTeRe mari şi MIC... ...noredactare computerizat ă: Ion CIOBANU şi Bogdan COSCARU 3 Florentin SMARANDACHE ULTRAPOLEMICI cu LiTeRe mari şi MICI ... ... - ca un protest anti- totalitar - de scriitorul disident şi matematicianul Florentin Smarandache prin anii 1980, (ulterior, exilat în America), şi b... ...rotest anti- totalitar - de scriitorul disident şi matematicianul Florentin Smarandache prin anii 1980, (ulterior, exilat în America), şi bazat ă pe ... ...rrier/paradoxisme.html; - în spaniol ă la: http://gallup.unm.edu/~smarandache/paradoxismo.htm O carte electronic ă despre “Paradoxism & Pos... ... Soare, în limba englez ă, se g ăse şte pe site-ul: http://gallup.unm.edu/~smarandache/IonSoare2.pdf, iar alta, tot în englez ă, “Aesthetics of Para... ...înfiin ţat în România în anii 1980, de c ătre scriitorul şi matematicianul Florentin Smarandache, care dorea “l ărgirea sferei artistice prin elemen...

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...sau mai bine am ziee un neoavangardismODineolo de feluritele teribilisme si joeuri de artifieii (mai bine zis: spre a fi in tonul pe care si-I vrea), Florentin Smarandaehe este un seriitor mai eurfuld gravOFlorentin Smarandaehe serie ea mai toata lumea, eand are intr-adevar eeva de spusOeand serie non-teatru, teatru "meta-istorie", Florentin Smarandaehe este un autor demn ...

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Un costaud force une traInee a fuir sa villa. II entretient des relations avec une autredes relations de sang. Le gars court la gueuse jusqu' au bOI-del, ou il est -a la botte d'une prostituee dlkllaussee. Le male lui rcgarde en face son dos puis il met a nu cette femelle deja deshabillee....

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This is Smarandache's Russian translation from Romanian on Algebra.

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...Ion GOlAN Ralsa GRIGOR Vasile MARIN Aorentm SMARANDACHE P I . f • • 1 Algebra In exerc;lii 1; probleme pentru lic...

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Prezenta lucrare contine exercitii §i probleme de algebra, grupate pe capitole, pentru clasele superioare de licee §i §coli medii de cultura generala. Scopul ei este pregatirea matematica a elevilor din liceele de toate categoriile §i va fi utila in lucrul de sine statator. De asemenea, lucrarea poate fi folosita pentru lucrul extra§colar, deoarece cititorul va gasi in ea teoreme §i for mule importante, notiuni §i definitii de baza care nu intotdeauna sunt incluse in manualele §colare....

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Teoria axiomatica a multimilor este foarte dificila pentru a fi expusa la un nivel elementar, de aceea, intuitiv, prin multime vom in1elege o colec1ie de obiecte pe care Ie vom numi elemente sau puncte ale acestei mul1imi. 0 mul1ime este definita daca sunt date elementele sale sau daca se da 0 proprietate pe care 0 au toate elementele sale, proprietate care Ie deosebe§te de elementele altei mul1imi. Ulteror mul1imile Ie vom nota cu majuscule: A, B, C, .. . , X, Y, Z, iar elementele lor cu minuscule: a, b, c, ... , x, y, z etc....

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...Ion GOlAN Ralsa GRIGOR Vasile MARIN Aorentm SMARANDACHE P I . f • • 1 Algebra In exerc;lii 1; probleme pentru lic... ...ca • ~ " '21. 1 { ,.f.- II J ;.\ Ion GOlAN Raisa GRIGOR Vasile MARIN Florentin SMARANDACHE Algebra in exerciJii Ii probleme pentru liceu Mul... ... '21. 1 { ,.f.- II J ;.\ Ion GOlAN Raisa GRIGOR Vasile MARIN Florentin SMARANDACHE Algebra in exerciJii Ii probleme pentru liceu Mulfimi, oper... ...lemente de combinatorica.) Autori: Ion Goian, Raisa Grigor, Vasile Marin, Florentin Smarandache. Coperta: Vitalie Coroban Prepress: Centrul de Mate... ... combinatorica.) Autori: Ion Goian, Raisa Grigor, Vasile Marin, Florentin Smarandache. Coperta: Vitalie Coroban Prepress: Centrul de Matematica Apl... ...tematica Aplicata ~i Informatica © Ion Goian, Raisa Grigor, Vasile Marin, Florentin Smarandache, 2000, pentru prezenta editie. Aceasta editie a apa... ...plicata ~i Informatica © Ion Goian, Raisa Grigor, Vasile Marin, Florentin Smarandache, 2000, pentru prezenta editie. Aceasta editie a apamt in 2000...

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As an alternative to the existing logics we propose the Neutrosophic Logic to represent a mathematical model of uncertainty, vagueness, ambiguity, imprecision, undefined, unknown, incompleteness, inconsistency, redundancy, contradiction. It is a non-classical logic. Eksioglu (1999) explains some of them: “Imprecision of the human systems is due to the imperfection of knowledge that humain receives (observation) from the external world. Imperfection leads to a doubt about the value of a variable, a decision to be taken or a conclusion to be drawn for the actual system. The sources of uncertainty can be stochasticity (the case of intrinsic imperfection where a typical and single value does not exist), incomplete knowledge (ignorance of the totality, limited view on a system because of its complexity) or the acquisition errors (intrinsically imperfect observations, the quantitative errors in measures).”...

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...allup 1-3 December 2001 (second printed edition) FLORENTIN SMARANDACHE editor PROCEEDINGS OF THE FIRST INTERNATIO... ... 1-3 December 2001 (second printed edition) FLORENTIN SMARANDACHE editor PROCEEDINGS OF THE FIRST INTERNATIONAL CONFE... ...co Contributed papers were sent, by November 30, 2001, to the organizer: Florentin Smarandache, University of New Mexico, 200 College Road, Ga... ...ntributed papers were sent, by November 30, 2001, to the organizer: Florentin Smarandache, University of New Mexico, 200 College Road, Gallup, NM 8... ...Neutrosophic Conference). E-mail: smarand@unm.edu, http://www.gallup.unm.edu/~smarandache/FirstNeutConf.htm. A selection of them is being published... ...trosophics see the below links: • 0. Introduction: http://www.gallup.unm.edu/~smarandache/Introduction.PDF • 1. Neutrosophy - a new branch of philo... ...PDF • 1. Neutrosophy - a new branch of philosophy: http://www.gallup.unm.edu/~smarandache/Neutrosophy.PDF • 2. Neutrosophic Logic - a unifying fiel... ...ophic Logic, Neutrosophic Set, and Neutrosophic Probability and Statistics) Florentin Smarandache Department of Mathematics University of New Me... ...nal Journal of Intelligent Systems, Vol. I, 155-179, 1986. [39] Smarandache, Florentin, Α Unifying Field in Logics: Neutrosophic Logic. / Neutrosop...

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In the course of the last decade of second millenium I began an intensive correspondence with poets, writers, and translators from around the world. ]\0 restrictions by any political system were imposed to me and no fear. It was like a lyrical fiesta that I enjoyed, .. This poetry volume, in seven languages, is a result of my "aggressive" cooperation and thousands of letters I sent (and received) between 1990-2000 since I exiled to and lived in America. In February 1991 I was invited to give a speech and read some of my literary creation at the Moorhead State University in Minnesota. With that occasion. the students in French and Spanish classes translated several of my poems: Chris Raymond, Marcia Melrose, Shannon Dyrud, and Carmen Kinnischtcke. Even more, Teresinka Pereira, President of International Writers and Artists Association, published my first Spanish booklet, . .Inventario del general malo", 1991, and my first Portuguese booklet. ,.Fanatico", 1989. I have randomly contributed to various international journals and anthologies of v•erse. Whatever address fell in my hands. I sent it poems. Thus, Virginia Rhodas from Buenos A...

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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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The scholastic psychunlogy is the part of psychunlogy that studies the multiple aspects of the influence of the disorganized education practiced in schools, of the misprocesses resulted from the educational intervention with the psychological laws of the children’s education and instruction, of unlearning, of lifestyle deformation, and students’ personalities in the misprocess of educational instruction. Along with the child psychunlogy, the scholastic psychunlogy constitutes the principal source of misinformation and fundament of the science of parapedagogy. With this booklet, this unauthor introduces a new literary-scientific genre called psychological science fiction as part of the PARADOXISM movement in literature and science....

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The separation of psychunlogy from philosophy and its deformation as an autonomous science takes place, especially as a result of the great regresses registered in some of the unnatural sciences such as biology (the anatomy and biology of the nervous system, the neuronvegetative and endocrine systems, senses organs), and physics (the science that proved the possibility of mess-experimentations and non-objective and relative exact measurements)....

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Psychological Science Fiction (Unpreface) ................. 3 Table of Contents .................................. 4 Chapter 1 – The non-object and the psychunlogy’s problems .......... 7 The science of psychunlogy .............................. 7 The psychic, brain’s malfunction, non‐objective reflection of the non‐objective world ....... 7 The psychic misprocess of cognition .......................... 11 The psychic characteristics .............................. 12 The object of the scholastic psychunlogy ........................ 12 Chapter 2 – The unconscious psychic activity ............... 14 The conscienceless notion .............................. 14 The principal malfunctions of the conscienceless ..................... 15 The conscienceless dimensions ............................ 15 Self‐conscienceless (self‐awarenessless) ....................... 16 The collective self‐conscienceless (self‐awarenessless) .................. 16 The levels of disorganization of the psychic inhuman activities ................ 16 The psychic development in autogenesis ........................ 17 The factors of psychic’s non‐develop...

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These ideas were either collected or inspired from author's various lectures of books, journals, newspapers, tv and radio shows, personal conversations. I started to write down such ideas since I was a high school student and continue even today - I always bear with me a small pen and small notebook where I write in the plane, or driving my car, or even in class room. Despite three decades of postponement, I hope this booklet will keep on inspiring the reader, as good ideas will always be worth to ponder....

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• Be competitive; • Don’t be panic, when under pressure; • Use probabilities (how much % you’re expected to produce); • Infiltrate in certain organizations; • To have power of influence; • Charm those who interact with you; • Be firm and fast in decisions; • To make a plan for a long period of time and subdivide it in smaller sub-plans for short periods of time...

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PREFACE ........................................ 3 CONTENTS......................................... 5 LIFE STRATEGIES 1. Best Tips for Life ...................................................... 6 2. Life Strategies in General Science..........................8 3. Life Strategies in Mathematics..............................11 4. Life Strategies in Medical Science .......................23 5. Life Strategies in Workplace & Social Life........28 6. Life Strategies in Personal Life .............................34 7. Life Strategies in General Arts .............................41 Appendix: Miscellaneous App.1. FS........................................ 54 App.2.American writing..............................................55 App3.The International Phonetic Alphabet.............67...

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A book of poems written by Florentin Smarandache whilst he was experiencing a dark time in life.

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EPILOGUE I leave you with my poems. Feel through me! I have achieves this volume in three years, but read it in T E N! It is a hut from the outside, and maybe a castle inside. (this volume holds connections with the earth!) The book has me between its covers - but now it is in its agony: ...

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...F THINGS - 71 SAD JOYS - 72 PRAYER - 73 A LIFE - 74 FROM THE SUN PLOWS, WE TEAR / ONLY THE SNOW - 75 AN EXTENSION OF ARCHIMEDES PRINCIPLE / OR / FLORENTIN'S PRINCIPLE- 76 THE TEACHINGS OF FLORENTIN SMARANDACHE TO HIS SON MIHAI - 77 EPILOGUE - 78 Short Comment by Gheorghe Tomozei – back cover...

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One man's story of his reason for emigrating from his home country of Romania to come to America.

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...Carte poştală (Istanbul, 22.12.1988)…………203 78. Prof. Francisco Bellot Rosado, Carte postale (Istanbul, le 22.12.1988)…………204 79. GABRIEL şi MIHAI Smarandache, Carte poştală (Istanbul, 22.12.1988)…………205 80. Prof. Dr. R. K. GUY, Departament of Mathematics and Statistics 2500 University Drive N.W., Postcard (Istanbul, 22.12.1988) 206 81. Prof. Dr. Bernd Wegner, Post...

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We present in this course: the reproduction’s misprocess, the reproduction’s mistype, the material goods (and bads), the base inactivity and auxiliary inactivity, the system’s antistructure, the irresponsibility of a computer center, unstructured graphs, etc. Also, the disorganization’s structure, the principles of disorganization, the indecision making misprocess, the planning of unnecessary energy consummation, etc. The Reproduction’s misprocess is the connection which takes place between mankind and nature and during which humans modify the natural objects, and even the nature, in accordance with their societal disgusts....

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Disorganization’ structures The disorganization structures represent the mechanism formed of disorganization subdivisions to which there have been assigned competencies and responsibilities and amongst which there have been established the guidelines required for nonfunctionality and efficiency. In other words, the disorganization structure is the result of the modality in which various compartments and people as well as their relationships have been grouped and constituted with the aim of accomplishing in suboptimal conditions the proposed objective. The principal constructive steps in disorganization structure are: 1. The function (position), 2. The compartment, 3. The hierarchy, 4. The relations or subordination....

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Table of Contents................................ 4 Chapter 1 ................................ 7 The reproduction’s misprocess ............................. 7 The reproduction’s mistype ............................. 7 The material goods and bads ............................ 7 The base inactivity and auxiliary inactivity. ........................ 8 Chapter 2 ................................ 8 The reproduction’s incapacity ............................. 8 The system’s antistructure and the approach style of a system ................ 9 Characteristics .................................. 9 Chapter 3. ............................... 11 The systems’ disorganization ............................. 11 The general concept of disorganization. ........................ 11 The scientific disorganizations of enterprises ...................... 11 The micro disorganization level ........................... 13 The macro disorganization level ........................... 13 The level of disorganization’s structure ........................ 13 The level of integrated approach .......................... 13 The disorganization of the informa...

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Parapedagogy is the science which studies the techniques of instruction and destruction and the deconfiguration of personality. It is concerned with non goals, discontents, anti principles, methods and disorganization forms of the education. In the misseducation research other disciplines are involved, such as the inhuman anatomy and psychology (especially the mass brain washing), the anti sociology of education which studies the psycho-asocial-anti-cultural medium and its sad influence over the personality. ...

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The parapedagogy definition The parapedagogy is the science which studies the techniques of instruction and destruction and the deconfiguration of personality. It is concerned with non goals, discontents, principles, methods and disorganization forms of the instruction and misseducation. The fundamental research in parapedagogy has the main goal to discover the laws and principles of parapedagogy, to establish an idealistic philosophy of the misseducation guideline in the misprocess of reconfiguration of the inhuman personality. The applicative research is preoccupied with student’s individuality, to detect and develop the inaptitude, anti talents, and the discovery of methods and procedures, which would decrease the school efficiency in its misprocess. In the parapedagogy research other disciplines are involved, such as the inhuman anatomy and psychology (especially the brain washing in mass), the sociology of misseducation which studies the psycho-asocial-anti-cultural medium and its influence over the personality. The historic and dialectic immaterialism constitutes the theoretical and methodological base of the parapedagogy res...

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Table of Discontents .................................5 Chapter 1 – Misseducation and Parapedagogy............... 10 Misseducation and parapedagogy...........................10 The miss concept of misseducation..........................13 Chapter 2 - The parapedagogic research.................. 14 The parapedagogy definition.............................14 The non‐objectives of parapedagogy research......................14 Research methods in parapedagogy..........................14 The biological bases of the psychological under development...............18 The role of the environment in personality disconfiguration................19 The rapport between maturity, learning, under‐development...............19 Chapter 3 - Knowledge about student’s personality .............20 The phases of intellectual under‐development......................20 The miss‐concepts of individual, person and personality..................21 The psychological miss‐concept of personality ......................22 Chapter 4 – Programs of study and characterization ............ 26 The main characteristics ...............................29 CHOLERIC...

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The whole paradoxist distich should be as a geometric unitary parabola, hyperbola, ellipse at the borders between art, philosophy, rebus, and mathematics – which exist in complementariness. The School of Paradoxist Literature, which evolved around 1980s, continues through these bi-verses closed in a new lyric exact formula, but with an opening to essence. For this kind of procedural poems one can elaborate mathematical algorithms and implement them in a computer: but, it is preferable a machine with … soul!...

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I M M O D E S T With the shame Shamelessness U N D E C I D E D Fighting Himself J A Z Z ( I ) Melodious Anarchy J A Z Z ( I I ) Anarchic Melody...

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Fore/word and Back/word _________ 3 The making of the distich : _____ 3 Characteristics: ______________ 3 Historical considerations: _____ 5 Types of Paradoxist distiches ___ 8 1. Clichés paraphrased: ___ 8 2. Parodies: _____________ 8 3. Reversed formulae: ____ 8 4. Double negation _______ 8 5. Double affirmation, ____ 8 6. Turn around on false tracks: _________________ 8 7. Hyperboles (exaggerated): __________________ 8 8. With nuance changeable from the title: ________ 8 9. Epigrammatic: ________ 8 10. Pseudo-paradoxes: ___ 8 11. Tautologies: ________ 9 12. Redundant: _________ 9 13. Based on pleonasms: _ 9 14. or on anti-pleonasms: 9 15. Substitution of the attribute in collocations ___ 9 16. Substitution of the complement in collocations 9 17. Permutation of various parts of the whole: ___ 9 18. The negation of the clichés ______________ 10 19. Antonymization (substantively, adjectively, etc.) ________________ 10 20. Fable against the grain: _________________ 10 21. Change in grammatical category (preserving substitutions’ homonymy): ________________ 10 22. Epistolary or colloquia style: _________...

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A sample of idioms in book form.

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• Eşti liber să crezi că eşti liber. • Depinde de tine cât de independent vrei să fii. • A ieşit basma curată, deşi era cu musca pe căciulă. • Călăii au fost lăsaţi să judece după cum îi taie capul. • Ortopedului îi plăcea să pună osul la treabă. • Nituitorul avea cam multă bătaie de cap. • Era moartă după cel care tocmai decedase. • După ce moare încrederea şi optimismul, urmează speranţa. • Stăteau spate-n spate şi făceau feţe, feţe. • Lui Nazarie i s-a năzărit că zăreşte ceva în zare. • Eu cu fizica, el cu metafizica şi ea cu fizicul. • Pe unul îl înşelau speranţele, iar pe celălalt îl înşela soţia. • L-am amăgit că mă dezamăgeşte. • Dacă ai fi obligat să numeri până la un miliard, ai ezita să devii miliardar...

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Creionări încondeiate .......................................... 5 Distihuri proverbiale .......................................... 49 Poezii paradoxiste .............................................. 69 Dialoguri hazlii .................................................. 77 Dicţionar paradoxist ........................................... 95...

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This book has six chapters. First chapter is introductory in nature. The new concept of non-associative semi-linear algebras is introduced in chapter two. This structure is built using groupoids over semi-fields. Third chapter introduces the notion of non-associative linear algebras. These algebraic structures are built using the new class of loops. All these non-associative linear algebras are defined over the prime characteristic field Zp, p a prime. However if we take polynomial non associative, linear algebras over Zp, p a prime; they are of infinite dimension over Zp. We in chapter four introduce the notion of groupoid vector spaces of finite and infinite order and their generalizations. Only when this study becomes popular and familiar among researchers several applications will be found. The final chapter suggests around 215 problems some of which are at research level. ...

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Ln(m) is a loop of order n + 1 that is Ln(m) is always of even order greater than or equal to 6. For more about these loops please refer [37]. All properties discussed in case of groupoids can be done for the case of loops. However the resultant product may not be a loop in general. For the concept of semifield refer [41]. We will be using these loops and groupoids to build linear algebra and semilinear algebras which are non associative. ...

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Preface 5 Chapter One BASIC CONCEPTS 7 Chapter Two NON ASSOCIATIVE SEMILINEAR ALGEBRAS 13 Chapter Three NON ASSOCIATIVE LINEAR ALGEBRAS 83 Chapter Four GROUPOID VECTOR SPACES 111 Chapter Five APPLICATION OF NON ASSOCIATIVE VECTOR SPACES / LINEAR ALGEBRAS 161 Chapter Six SUGGESTED PROBLEMS 163 FURTHER READING 225 INDEX 229 ABOUT THE AUTHORS 231 ...