By: by Amarnath Murthy and Charles Ashbacher
This book arose out of a collection of papers written by Amarnath Murthy. The papers deal with mathematical ideas derived from the work of Florentin Smarandache, a man who seems to have no end of ideas. Most of the papers were published in Smarandache Notions Journal and there was a great deal of overlap. My intent in transforming the papers into a coherent book was to remove the duplications, organize the material based on topic and clean up some of the most obvious err...
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By: by Constantin M. Popa
Se confunda adesea paradoxul cu exercl- siul plat si plicticos al reabilitarii truismelor. Nu se poate nega fapsll ca pentru a intoarce 10- curile comune isl trebule curaj.Nimic mai rlscant decit a lucra cu banalltatea.si totuGi,paradoxul bine facut atinge pragul filosoflel.Devine 0 forrna penetranta de cllnoastere.Valoarea de excep1tie a paradoxului care di unor acte aparent insignifiante un sens Ildinc !;Ii revelator a fost intuita de Alexandru Paleologu : "Paradoxul e...
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By: by Florentin Smarandache
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:
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By: by Florentin Smarandache
[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 p...
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By: by Linfan Mao
A combinatorial map is a connected topological graph cellularly embedded in a surface. As a linking of combinatorial configuration with the classical mathematics, it fascinates more and more mathematician’s interesting. Its function and role in mathematics are widely accepted by mathematicians today. On the last century, many works are concentrated on the combinatorial properties of maps. The main trend is the enumeration of maps, particularly the rooted maps, pioneered ...
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By: by Kenichiro Kashihara
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 under...
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By: by József Sándor
This book contains short notes or articles, as well as studies on several topics of Geometry and Number theory. The material is divided into ve chapters: Geometric theorems; Diophantine equations; Arithmetic functions; Divisibility properties of numbers and functions; and Some irrationality results. Chapter 1 deals essentially with geometric inequalities for the remarkable elements of triangles or tetrahedrons. Other themes have an arithmetic character (as 9-12) on numbe...
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By: by Howard Iseri
A complete understanding of what something is must include an understanding of what it is not. In his paper, “Paradoxist Mathematics” [19], Florentin Smarandache proposed a number of ways in which we could explore “new math concepts and theories, especially if they run counter to the classical ones.” In a manner consistent with his unique point of view, he defined several types of geometry that are purposefully not Euclidean and that focus on structures that the rest of ...
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By: by Ion Soare
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 Ta...
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By: by Charles Ashbacher
As someone who works heavily in both math and computers, I can truly appreciate the role that logic plays in our modern world. One cannot understand the foundations of mathematics while lacking knowledge of the basics of logic and how proofs are constructed. Two of the first classes I took as a graduate student in mathematics were in the foundations of mathematics, and hardly a day goes by where I do not use some topic from those courses. Logic is also a fundamental comp...
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By: by Henry Ibstedt
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 st...
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By: by Henry Ibstedt
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. A...
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By: by Henry Ibstedt
This book consists of a selection of papers most of which were produced during the period 1999-2002. They have been inspired by questions raised in recent articles in current Mathematics journals and in Florentin Smarandache’s wellknown publication Only Problems, Not Solutions. All topics are independent of one another and can be read separately. Findings are illustrated with diagrams and tables. The latter have been kept to a minimum as it is often not the numbers but t...
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By: by Gh. C. Dinulescu
By virtue of the principle of the full liberty to set forth any philosophical thesis, no justification would probably be necessary, yet it should be mentioned that Descartes – the founder of modern rationalism – issued the thesis of ?the right of rationality to re-examine all knowledge and to accept as truth only what appears as obvious in itself, through the angle of reason?. The Cartesian thesis has a testimonial deed in the Socratic assertion on ?the identity between ...
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By: by L. Stephen Young
The author's motivating interest the past few years has been the development and dissemination of G-dimensional theory (GDT). K. Toshihara, from Japan, proposed the concept of a paper defining G-Dimensional theory in relation to the Smarandache quantum paradoxes. After reviewing a draft, Dr. M. L. Perez, Editor of the SNJ, suggested the inclusion of the Smarandache (FTL) Hypothesis as well. So it is hoped that a determination of parametric relationships between the quant...
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By: by Sukanto Bhattacharya
This work covers a substantial mosaic of related concepts in utility theory as applied to financial decision-making. It reviews some of the classical notions of Benthamite utility and the normative utility paradigm offered by the von Neumann-Morgenstern expected utility theory; exploring its major pitfalls before moving into what is postulated as an entropic notion of utility. Extrinsic utility is proposed as a cardinally measurable quantity; measurable in terms of the e...
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By: by Felice Russo
I have met the Smarandache's world for the first time about one year ago reading some articles and problems published in the Journal of Recreational Mathematics. From then on I discovered the interesting American Research Press web site dedicated to the Smarandache notions and held by Dr. Perez (address: http://www.gallup.unm.edu/~smarandache/), the Smarandache Notions Journal always published by American Research Press, and several books on conjectures, functions, unsol...
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By: by C. Dumitresru
The function named in the title of this book is originated from the e:riled Romanian mathematician Florentin Smaranda.che, who has significant contributions not only in mathematics, but also in li~ratuIe. He is the father of The Paradorut Literary Movement and is the author of many stories, novels, dramas, poems.
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By: by Florentin Smarandache
This book contains a collection of poems compiled by the author, Florentin Smarandache.
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By: by Florentin Smarandache
This book contains a collection of poems compiled by the author, Florentin Smarandache.
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