Description Details
Inceput prin volumul de "haiku" -uri Oopotul tAceril, procesul de clasicizare a paradoxismului se continua prin prezentul volum P1in tunele de cuvinte, care conpne "poeme intr-un vers w ~i care se vrea 0 replica la mai vechiul cidu, atAt de ostentativ afi~t: "Poeme fara nici un vers w Asistam la 0 dialedica a negatiei ~i la 0 polemica interioara Tn cadrul operei smarandachene. Poetul se dezice de el Tnsu~i, de 0 ipostaza a sa Iirica anterioara. TItlul volumului ne atrage, numaidecat, atenpa. P1in tunele de cuvinte, 0 metafora din poemul ultim al volumului, vrea sa sugereze mersul unidirectional al discursului poetic prin "tunelul" cuvintelor dintr-un singur verso...

Description Details
This book contains a collection of poems compiled by the author Florentin Smarandache.

Table of Contents Details
Geometrie (clasa a IX-a). 4 -- Geometrie §i trigonometrie. 27 -- Probleme diverse. 47 -- Probleme recapitulative. 56 -- Geometrie spatiala. 61 -- Drepte §i plane. 85 -- Probleme recapitulative. 97 -- Proectii. 128 -- Geornetrie §i trigonormtrie (clasa a X-a). 144 --...

Description Details
This book is a collection of poems compiled together by Florentin Smarandache. Book translates in Romanian---

Description Details
It took me ten years to collect all these texts dealing with the paradoxism, since I came to America, reading more than one thousand envelopes stuffed with manuscripts. They followed me at my address, often changed upon my job, in Phoenix and Tucson (Arizona) or in Gallup (New Mexico). I tried to answer each letter sending information on the paradoxism and also paradoxist diplomas where it was the case. Now I congratulate all these 100 writers who contributed to this anthology with poems, prose, dramas, essays, letters. This is an international fan on the dimensions of the paradoxism, twenty years after its setting up....

Description Details
These are a collection of poems compiled by the author, Florentin Smarandache.

Description Details
This book contains a collection of poetry compiled by the author Florentin Smarandache.

Description Details
This book is a collection of poems by Florentin Smarandache compiled by the author Gheorghe Niculescu

Description Details
(Peisaj de iama un drum inzapezit intr-un sat; ninge Pe toata durata acestui tablou ca ~i in tabloul III se vor impra$tia de sus (dilllr-IIII loe lIevi=ihil pllhhclIllli) confetti albe sau vata (lIatlirald. artificiald) etc. pentru a da copiilor senzalia de fulgi de nea. care Ie plac alaI de mult')...

Description Details
This book is the Spanish translation of Applications of Smarandache Function, and Prime and Coprime Functions.

Description Details
Performantele matematicii actuale,ca si descoperirile din viitor isi au,desigur, inceputul in cea mai veche si mai aproape de filozofie ramura a matematicii, in teoria numerelor. Matematicienii din toate timpurile au fost, sunt si vor fi atrasi de frumusetea si varietatea problemelor specifice acestei ramuri a matematicii. Regina a matematicii, care la randul ei este regina a stiintelor, dupa cum spunea Gauss, teoria numerelor straluceste cu lumina si atractiile ei, fascinandu-ne si usurandu-ne drumul cunoasterii legitatilor ce guverneaza macrocosmosul si microcosmosul. De la etapa antichitatii, cand teoria numerelor era cuprinsa in aritrnetica, la etapa aritrneticii superioare din perioada Renasterii, cand teoria numerelor a de venit parte de sine statatoare si ajungand la etapa moderna din secolele XIX si XXcand in teoria numerelor isi fac loc metode de cercetare din domenii vecine, ca teoria functiilor de variabila complexa si analiza matematicii drumul este lung, insa dens, cu rezultate surprinzatoare, ingenioase si culte nu numai teoriei propriuzise a numerelor, dar si altor domenii ale cunoasterii, atat teoretice cat si pra...

Excerpt Details
This function is originated from the exiled Romanian professor Florentin Smarandache. It is defined as follows: For any non-null ~tegers n, S(n) is the smallest integer such that (S(n) )! is divisible by n....

Description Details
The submitted manuscripts may be in the format of remarks, conjectures, solved/unsolved or open new problems, notes, articles, miscellaneous, etc. They must be original work and camera ready [typewritten/computerized, format: 8.5 x 11 inches (z 21,6 x 28 centimetres)]. They are not returned, hence we advise the authors to keep a copy...

Description Details
Teoria Analitics a Numerelor reprezents pentru mine 0 pasiune. Rezultatele expuse mai departe constituie rodul catorva ani buni de cercetsri si csutsri. Lucrarea de fass se compune din 9 articole, publicate toate prin reviste de matematics romanesti sau strsine, iar unele prezentate chiar la congrese si conferinse nasionale cat si internasionale [vezi "Lista publicasiilor autorului pe tema tezei"). Ea se structureazs in patru capitole: - in primele trei capi tole se introduc noi funsii in teoria numerelor, se studiazs proprietssile lor, probleme nerezol vate legate de ele, implicasii in lumea stiinsific! internasional! (ce alsi matematicieni au abordat nosiunile acestea), conexisi cu alte funcsii bine stiute, importansa rezultatelor obsinute: - in ul timul capitol se aduc contribusii la studierea unei- funsii cunoscute in teoria numerelor (totient sau phi a lui Euler), in principal referitoare la conjectura lui carmichael. [Exist! referinse particulare dup! fiecare paraqraf (articol), iar referinse generale in finalul tezei.)...

Description Details
Ne bucuram exprimAnd mult-umirile noast.re f'at-a de t.ot-i acei.cunescut- i sau mai put-in cunoscut-i.care de-a Iungul aniler ne-au ajut.at. sa ajungem la aceast.a cart.e.Sunt. mult-i.sunt. f'oart.e mult-i cei care ne-au ajut.at. ... Unii ne-au dat. sugest.ii.alsii ne-au oferit. idei. uneori ne-am st.raduit. impreunA sa descif'ram un amanunt. nelamurit.. alleori Invst-am din Int.rebarile mest.esugit.e sau poale chiar naive ale inlerloculorilor nost.rii:...

Description Details
In 1996 the author wrote reviews for "Zentralblatt fUr Mathematik" for books [11 and [21 and this was him first contact of with the Smarandache's problems. In [1] Florentin Smarandache formulated 105 unsolved problems, while in [21 C. Dumitrescu and V. Seleacu formulated 140 unsolved problems. The second book contains almost all problems from [11, but now everyone problem has unique number and by this reason the author will use the numeration of the problems from [2]. Also, in [2] there are some problems, which are not included in [1]. On the other hane, there are problems from [1], which are not included in [2]. One of them is Problem 62 from [1], which is included here under the same number. In the summer of 1998 the author found the books in his library and for a first time tried to solve a problem from them. After some attempts one of the problems was solved and this was a power impulse for the next research. In the present book are collected the 27 problems solved by the middle of February 1999....

Table of Contents Details
Preface 5 -- 1. On The 4-Th Smarandache's Problem 7 -- 2. On The 16-Th Smarandache's Problem 12 -- 3. On The 22-Nd, The 23-Rd, And The 24th -- Smarandache's Problems 16 -- 4. On The 37-Th And The 38th -- Smarandache's Problems 22 -- 5. On The 39-Th, The 40-Th, The 41st, And -- The 42-Nd Smarandache's Problems 27 -- 6. On The 43-Rd And 44-Th Smarandache's -- Problems 33 -- 7. On The 61-St, The 62-Nd, And The 63red -- Smarandache's Problems 38 -- 8. On The 97-Th, The 98-Th, And The 99th -- Smarandache's Problems 50 -- 9. On The 100-Th, The 101-St, And The 102nd -- Smarandache's Problems 57 -- 10. On The Ll7-Th Smarandache's Problem 62 -- Ll. On The Ll8-Th Smarandache's Problem 64 -- 12. On The 125-Th Smarandache's Problem 66 -- 13. On The I26-Th Smarandache's Problem 68 -- 14. On The 62-Nd Smarandache's Problem 71 -- Is. Conclusion 74 -- 16. Appendix 76 -- References 83 -- Curriculum Vitae Of K. Atanassov 86 --...

Description Details
The development of mathematics continues in a rapid rhythm, some unsolved problems are elucidated and simultaneously new open problems to be solved appear. 1. "Man is the measure of all things". Considering that mankind will last to infinite, is there a terminus point where this competition of development will end? And, if not, how far can science develop: even so to the infinite? That is . The answer, of course, can be negative, not being an end of development, but a period of stagnation or of small regression. And, if this end of development existed, would it be a (self) destruction? Do we wear the terms of selfdestruction in ourselves? (Does everything have an end, even the infinite? Of course, extremes meet.) I, with my intuitive mind, cannot imagine what this infinite space means (without a beginning, without an end), and its infinity I can explain to myself only by mAans of a special property of space, a kind of a curved line which obliges me to always come across the same point, something like Moebus Band, or Klein Bottle, which can be put up/down (!)...

Description Details
[Un cabinet medk:aI Inzestrat cu instalatii moderne, tactnd parte dintr-un sanatoriu. Seam!nA cu 0 anticamed avtnd patru u§i: una In strnga, douA In falA §i alta In dreapta, cu inscriptii1e: •0", "Salonul 1" , "Salonul 2", respectiv "Salonul 3". Interior negru. Oameni ImpAiali. Un Om-NOll tinut In SlielA, congelat, de reclamA - JnSOlit de un extras revelatoriu din pres!. Pc pereli: citate, slogane pc aeeea§i temA. Doctori Ii Asistenti In balate de spital, dar negre, cu priviri Slicloasc, Inumane. Pacienlii tn balate wrgate de bolnavL Figuratia inutiiA de personal medical, care §CbioapAtA up', spre deosebire de padenp care §CbioapAtA rAu. InvAluit In mister, Doctorul stA tntr-un cArudor tantasmagoric, cu rotile, avtnd spatelc a public. Nu i se va vedea pc toatA durata plesei dectt ceata, de,i eAruciorul se mai ms. De ctteva ori dA seazalia . eA ar vrea sA se IntoareA spre public, dar renuntA. Nid In antracte, nid dupA, actorul nu va iqi Ia aplauze. Glasul cam nepAmlntesc, sinal. Asistentul, In picioare, sterilizeazA 0 siringA uriap.]...

Description Details
This book is 4 and 5 volumes based on Smarandache's math theories.

Description Details
In writing a book, one encounters and overcomes many obstacles. Not the least of which is the occasional case of writer’s block. This is especially true in mathematics where sometimes the answer is currently and may for all time be unknown. There is nothing worse than writing yourself into a corner where your only exit is to build a door by solving unsolved problems. In any case, it is my hope that you will read this volume and come away thinking that I have overcome enough of those obstacles to make the book worthwhile. As always, your comments and criticisms are welcome. Feel free to contact me using any of the addresses listed below, although e-mail is the preferred method....

Description Details
Prima culegere de "Problemes avec et sans …problemes!" a aparut in Maroc in 1983. Am strans aceste proleme, aparute prill diverse reviste romanel;lti sau straine (printre care: "Gazeta Matematica", revista Ia care Ill-am format ca problemisi, "American Mathematical Monihly", "Crux Mathematicorum" (Canada), "E1emcllte del' Mathematik" (Elvetia), "Gaceta Matematica" (Spania), "Nieuw voor Archief" (Olanda), etc.) ori inedite intr-un al doilea volum....

Description Details
A Smarandache notion is an element of an ill-defined set, sometimes being almost an accident oflabeling. However, that takes nothing away from the interest and excitement that can be generated by exploring the consequences of such a problem It is a well-known cliche among writers that the best novels are those where the author does not know what is going to happen until that point in the story is actually reached. That statement also holds for some of these problems. In mathematics, one often does not know what the consequences of a statement are. Cnlike a novel however, there are no complete plot resolutions in mathematics as there are no villains to rub out. As the French emphatically say in another context, "Vive la difference'"...

Excerpt Details
Smarandache notions, which can be undoubtedly characterized as interesting mathematics, has the capacity of being utilized to analyse, study and introduce, naturally, the concepts of several structures by means of extension or identification as a substructure. Several researchers around the world working on Smarandache notions have systematically carried out this study. This is the first book on the Smarandache algebraic structures that have two binary operations. Semirings are algebraic structures with two binary operations enjoying several properties and it is the most generalized structure — for all rings and fields are semirings. The study of this concept is very meagre except for a very few research papers. Now, when we study the Smarandache semirings (S-semiring), we make the richer structure of semifield to be contained in an S-semiring; and this S-semiring is of the first level. To have the second level of S-semirings, we need a still richer structure, viz. field to be a subset in a S-semiring. This is achieved by defining a new notion called the Smarandache mixed direct product. Likewise we also define the Smarandache semif...

Description Details
This book contains a group of Smarandache's theories and lessons on mathematics. It includes his famous "Smarandache Function" and how it is executed through with math....

Description Details
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 ...

Excerpt Details
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 goal is the enlargement of the artistic sphere through non-artistic elements. But especially the against-the-hair, counter-time. counter-sense creation. Also, to experiment....

Description Details
As if it wanted to be in accordance with the paradoxism and even to confirm it, the way the mathematician writer Florentin Smarandache is received is ... paradoxical. Tens of books, studies and articles have already been written about both, scientist and smarandachism - the name given to the movement by Ion Rotaru and Titu Popescu. However the paradoxist number 1 in the world is less known in his native country. At the same time some researchers ( Jacques Sarthou, Dan Tarchila, Doru Motoc and even... Ion Rotaru) declared him a man of genius (or close by!), while others ignored him or they haven’t yet heard about him. Without being disturbed by any of the two contradictory tendencies, the Oltenian- Romanian settled in New Mexico creates further on important works in the two large fieldsliteratures and mathematics (but also in other art and scientific fields)....

Description Details
This is a book on empirical number theory concentrating on the analysis of number sequences. Its focus is on a small part of a very large number of integer sequences defined by Florentin Smarandache. The author has. however. when appropriate included some other of his research results which organically belongs to this area. The content is organized into chapters according to the main considerations to make when programming the analysis. They are not mutually exclusive. As in my previous book Surfing on the ocean of numbers - a few Smarandache Notions and Similar Topics an attempt has been made to present results so that they are easy to understand and not to burdensome to read. There are many tables. some of which may be used for reference. but in general they are there to show the overall results obtained at a glance. In most cases it is the way in which sequences behave. not the individual figures. which is of importance. Some graphs have been included to illustrate important findings....

Description Details
A collection ot papers concerninq Smarandache type functions, numbers, sequences, inteqer alqoritbms, paradoxes, experimental qeometries, alqebraic structures, neutrosophic probability, set, and loqic, etc. is published this year....

Description Details
Last autumn I received a letter from a student at Arizona State University. He sent me a response to my letter to the editor in Mathematical Spectrum, including some pages of F. Smarandache's open problems. At first, I was not interested in the enclosure, for some of the problems are not so new and creative. But reading carefully, there are also some problems which stimulate the curiosity on arithmetic functions and number sequences. Then I needed almost no time to understand his talent in mathematics. I returned a letter to the student with a copy of my publication in The Mathematical Scientist and including a response where I stated that I was willing to write additional articles....

Description Details
io gasAi toile ~ scriise diun.r1iepot aI mieu Ie gas8i supt saIteaoa pe care dormii inainte deal OOICa poIitiia cA i-i perchizionarA odaia in care ieI statu ~ detEri peste ~e inscrisurideale lui ~ so fi prapAdit lor fi 0I'Tl0I'at nu sa §lie ~ ~ ieI ifni zAcea miie cA scriie 0 carte ~ eli sa pituI io un ~empIar eli ielle scriie cu pIombaginA eli dacA iIe I confixa poIitiia io sa mai am unul ~j sa tAl trim it dumitale sal pubIicarise§ti Ia strini io nu ~ mai multe ieI cdtea imi :zAsa ~ sArmcin.J acuma ien mAinile poIitiiei ~ bate Iau bagat I-a ~ ca sa spuie de cea scris ieI io nu rna pricepu Ia ~ de caarte da ieI toed zaua cu nasun cArli delea groase ca de bisericA ~ nurnai intaleQea niminea cu ieI ~ zAceam ia niscaiva nasturi sa nu te c::toara capuI da ieI sa nauda ~ dormu Editor cit~ mala ce vrut ieI cu cArtuIia asta carel baga Ia fll4cArie dei rAmAn oaseIe pa colo ~ barimi dao Ia 0 tipamiJaa dumitaIe ~ dacA poci scoaI:eI mala deIa ~ eli ie pAcat de ieI eli ie bAiat I~ ~ nu face nici un rau iote eli sa nu uit mai gAsAi n~e Mrti scriise deale lui IearuncA muierea Ia gunoi eli iauzi eli ia umplut toata casa de hArtoage de nare pe une ...

Description Details
The study of Smarandache Algebraic Structure was initiated in the year 1998 by Raul Padilla following a paper written by Florentin Smarandache called “Special Algebraic Structures”. In his research, Padilla treated the Smarandache algebraic structures mainly with associative binary operation. Since then the subject has been pursued by a growing number of researchers and now it would be better if one gets a coherent account of the basic and main results in these algebraic structures. This book aims to give a systematic development of the basic non-associative algebraic structures viz. Smarandache groupoids. Smarandache groupoids exhibits simultaneously the properties of a semigroup and a groupoid. Such a combined study of an associative and a non associative structure has not been so far carried out. Except for the introduction of smarandacheian notions by Prof. Florentin Smarandache such types of studies would have been completely absent in the mathematical world. Thus, Smarandache groupoids, which are groupoids with a proper subset, which is a semigroup, has several interesting properties, which are defined and studied in this book...

Description Details
Surfing on the Ocean of Numbers - why this title? Because this little book does not attempt to give theorems and rigorous proofs in the theory of numbers. Instead it will attempt to throw light on some properties of numbers, nota bene integers, through a study of the behaviour of large numbers of integers in order to draw some reasonably certain conclusions or support already made conjectures. But no matter how far we extend our search or increase our samples in these studies we are in fact, in spite of more and more powerful technologies, merely skimming the surface of the immense sea of numbers. - Hence the title....

Description Details
A collection of papers concerning Smarandache type functions, numbers, sequences, integer algorithms, paradoxes, experimental geometries, algebraic structures, neutrosophic probability, set, and logic, etc. is published this year....

Excerpt Details
This document will describe the current status on the search for factors of Smaranda.che consecutive numbers and their reverse. A complete list up to index 200 will be given, with all known factors. Smarandache numbers are the concatenation of the natural numbers from one up to the given index, and reverse Smaranda.che numbers are the concatenation of the natural numbers from the given index dO\vIJ. to 1....

Description Details
A collection of papers concerning smarandache type functions, numbers, sequences, integer algorithms, paradoxes, experimental geometries, algebraic structures, neutrosophic probability, set, and logic, etc. is published this year....

Description Details
A collection of papers concerning Smarandache type functions, numbers, sequences, integer algorithms, paradoxes, experimental geometries, algebraic structures, neutrosophic probability, set, and logic, etc. is published this year....

Description Details
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...

Description Details
Papers concerning any of the Smarandache type functions, sequences, integer algorithms, paradoxes, Non-Euclidean geometries, conjectures, open problems, neutrosophic logic/set/probability, etc. have been selected for this volume. The...

Description Details
Papers concerning any of the Smarandache type functions, sequences, numbers, algorithms, inferior/superior f-parts, magic squares, palindromes, functional iterations, semantic paradoxes, Non-Euclidean geometries, manifolds, conjectures, open problems, algebraic structures, neutrosophy, neutrosophic logic/set/probability, hypothesis that there is no speed barrier in the universe} quantum paradoxes, etc. have been selected for this volume. Contributors are from Australia, China, England, Germany, India, Ireland, Israel, Italy, Japan, Malaysia, Morocco, Portugal, Romania, Spain, USA. Most of the papers are in English, a few of them are in Spanish, Portuguese, or Gennan....

Description Details
The creation of a book is an act that requires several preconditions. I) An interesting and worthwhile subject; 2) A fair, yet demanding editor.; 3) Someone willing to put the words on paper. Given the existence of these three items, the leap to making the book a good one becomes the responsibility of the author. The Smarandache function is simultaneously a logical extension to earlier functions in number theory as well as a key to many future paths of exploration. As such, it is hoped that you get as much out of this book as the author did in writing it. While all books are a collective work, the responsibility for any errors ultimately falls to the author, and this is no exception....

Excerpt Details
As one of the oldest of mathematical disciplines, the roots of number theory extend back into antiquity. Problems are often easy to state, but extremely difficult to solve. Which is the origin of much of their charm. All mathematicians, amateurs and professionals alike, have a soft spot in their hearts for the "purity" of the integers. When "Fermat's Last Theorem" was finally proven after centuries of effort, the result was discussed on many major news shows in the US. Brief comments also appeared in the major weekly news magazines....

Description Details
In these proceedings of the second international conference on smarandache type notions in mathematics and quantum physics (december 21-24, 2000, university ofcraiova, romania; organizers: v. Seleacu and m. L perez) are collected articles and notes: in mathematics: related to smarandache anti-geometry, function, f-inferior part function, k-k additive relationships, 2-2 subtractive relationships, sequences, coprime functions, double factorial function, magic squares, problems, conjectures, equations, partitions, paradoxes, series, algebraic structures, pseodo-smarandache function, erdos-smarandache moments numbers; and in physics: related to smarandache hypothesis that there is no speed barrier in the universe, srm-theory of the possibility of constructing arbitrary speeds, and quantum smarandache paradoxes....