smarandache notions journal, vol. 13

8/14/2019 Smarandache Notions Journal, Vol. 13

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The graph on the first cover represents a Howard Iseri Model for aSmarandache Geometry (see p. 8).

This journal is an extension of the "Smarandache Function Journal",ISBN 1053-4792, Vol. 1-6, 1990-1995.

SNJ is yearly published (in the Spring or Fall) in a 300-400 pagesvolume, and 800-1000 copies.

SNJ is a referred journal: reviewed, indexed, cited by thefollowing journals: "Zentralblatt Fr Mathematik" (Germany),"Referativnyi Zhurnal" and "Matematika" (Academia Nauk, Russia),"Mathematical Reviews" (USA), "Computing Review" (USA), "LibertasMathematica" (USA), "Octogon" (Romania), "Indian Science Abstracts"(India), "Ulrich's International Periodicals Directory" (USA),"Gale Directory of Publications and Broadcast Media" (USA),

"Historia Mathematica" (USA), "Journal of Recreational Mathematics"(USA), "The Mathematical Gazette" (U.K.), "Abstracts of PapersPresented to the American Mathematical Society" (USA), "PersonalComputer World" (U.K.), "Mathematical Spectrum" (U.K.), "Bulletinof Pure and Applied Sciences" (India), Institute for ScientificInformation (PA, USA), "Library of Congress Subject Headings"(USA).

Referents:Murad A. AlDamen, P. O. Box 713330, Hai Nazzal 11171, Amman,

Jordan.Y. V. Chebrakov, Department of Mathematics, St.-Petersburg

Technical University, Nevsky 3-11, 191186, Russia.Ion Goian, Department of Algebra, Number Theory and Logic,

State University of Kishinev, Republic of Moldova.Florian Luca, Instituto de Matematicas UNAM, Campus Morelia,

Apartado Postal 61-3 (Xangari), CP 58 089, Morelia, Michoacan,Mxico.Chris Nash, 5000 Bryan Station Road #5, Lexington, KY 40516-9505,

USA.Carlos B. Rivera F., J. Pardav 517, Col Lomas del Roble, San

Nicols de los Garza, CP 66450, Nuevo Len, Mxico.Sebastian Martin Ruiz, Avda. De Regla, 43, Chipiona 11550,

Cadiz, Spain.

Copyright 2002by Sabin & Tatiana Tabirca, University College Cork, Ireland.

ASSOCIATE EDITORIAL BOARD:

Jack Allen, School of Accounting and Finance, Griffith

University, Australia.

Charles Ashbacher, Charles Ashbacher Technologies, Box 294,


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119 Northwood Drive, Hiawatha, Iowa 52233, USA.Ion Balacenoiu, Department of Mathematics, University of

Craiova, Romania.

Mihaly Bencze, Str. H|rmanului 6, 2212 S|cele 3, Jud. Braov,Romania.

Dragos Constantinescu, College of Arts, Rm. Valcea, Jud.

Valcea, Romania.Constantin Corduneanu, Department of Mathematics, University

of Texas at Arlington, USA.Henry Ibstedt, Glimminge 2036, 280 60 Broby, Sweden.Howard Iseri, Department of Mathematics, Mansfield University,

Mansfield, PA 16933, USA.Maohua Le, Department of Mathematics, Zhanjiang Normal

College, 29 Cunjin Road, Chikan, Zhanjiang, Guangdong, P. R. China.Feng Liu, Dept. of Management Science and Engineering,

Shaanxi Economics and Trade Institute (South Campus), SouthCuihua Road, Xi'an, Shaanxi, 710061, P. R. China.

A.A.K. Majumdar, Department of Mathematics, JahangirnagarUniversity, Savar, Dhaka 1342, Bangladesh.

Leonardo Fernandes Dias da Motta, Av. Conselheiro Furtado,1574, Apt. 501, Bairro Batista Campos, Belem, PA 66040-100, Brasil.

Mike Mudge, 22 Gors Fach, Pwll-Trap, St Clears,Carmarthenshire, Dyfed SA33 4AQ, United Kingdom.

E. R|descu & N. R|descu, Department of Mathematics, Universityof Craiova, Romania.

Felice Russo, Micron Technology Italy, Avezzano (Aq), Italy.

Vasile Seleacu, Department of Mathematics, University ofCraiova, Romania.

Y. A. Shmagin, Department of Mathematics, St.-PetersburgTechnical University, Nevsky 3-11, 191186,

St.-Petersburg, Russia.Vera W. de Spinadel, Centro de Matematica y Diseno MAyDI,

Facultad de Arquitectura, Diseno y Urbanismo, Universidad

de Buenos Aires, Argentina.

INDICATION TO AUTHORS

Authors of papers concerning any of Smarandache type functions,numbers, sequences, integer algorithms, paradoxes, Non-Euclideangeometries, etc. are encouraged to submit manuscripts to theEditors:

Prof. Sabin & Tatiana Tabirca

Department of Mathematics

University College Cork, Ireland.


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The submitted manuscripts may be in the format of remarks,conjectures, solved/unsolved or open new proposed problems,notes, articles, miscellaneous, etc. They must be original workand camera ready [typewritten/computerized, format: 8.5 x 11

inches (. 21,6 x 28 cm)]. They are not returned, hence weadvise the authors to keep a copy.

The title of the paper should be writing with capital letters.The author's name has to apply in the middle of the line, nearthe title. References should be mentioned in the text by anumber in square brackets and should be listed alphabetically.Current address followed by e-mail address should apply at theend of the paper, after the references.

The paper should have at the beginning an up to a half-pageabstract, followed by the key words.

All manuscripts are subject to anonymous review by two or moreindependent sources.

Every letter will be answered.

The authors will receive free copies of the journal.

Papers in electronic form are accepted. They can be e-mailedin Microsoft Word 2000 (or lower), WordPerfect 7.0 (or lower),PDF 4.0, or ASCII files.


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C O N T E N T S

MATHEMATICS:

HOWARD ISERI, Partially Paradoxist Smarandache Geometries .. 5CLIFFORD SINGER, Engineering a Visual Field ............ 13

J. SNDOR, On Smarandaches Podaire Theorem . 16

J. SNDOR, On a Dual of the Pseudo-Smarandache Function . 18

TATIANA TABIRCA, SABIN TABIRCA, A New Equation for the Load Balance SchedulingBased on the Smarandache f-Inferior Part Function .. 24

SABIN TABIRCA, TATIANA TABIRCA, Some New Results Concerning the SmarandacheCeil Function .. 30

MARK FARRIS, PATRICK MITCHELL, Bounding the Smarandache Function.... 37

JACK ALLEN, SUKANTO BHATTACHARYA, Critical Trigger Mechanism a ModelingParadigm for Cognitive Science Application in the Design of Artificial Learning systems 43

PANTELIMON STANICA, GABRIELA STANICA, There are Infinitely Many SmarandacheDerivations, Integrations and Lucky Numbers 48

AMARNATH MURTHY, Program for Finding out the Number of Smarandache DistinctReciprocal Partition of Unity of a Given Length . 53

FELICE RUSSO, On a Problem Concerning the Smarandache Friendly Prime Pairs 56

SHYAM SUNDER GUPTA, Smarandache Sequence of Happy Numbers . 59

FELICE RUSSO, On a Smarandache Problem Concerning the Prime Gap . 64

DAVID POWER, SABIN TABIRCA, TATIANA TABIRCA, Java Concurrent Program for theSmarandache Function . 72L. Kuciuk, M. Antholy, An Introduction to the Smarandache Geometries ..85

W. B. VASANTHA KANDASAMY, Smarandache Semirings and Semifields 88

SEBASTIAN MARTIN RUIZ, The Sequence of Prime Numbers . 92

HENRY IBSTEDT, On a Concatenation Problem .. 96

HENRY IBSTEDT, On a Deconcatenation Problem ..107

MAOHUA LE, On Smarandache Friendly Natural Number Pairs 120

KRASSIMIR T. ATANASSOV, On the 17-th Smarandache Problem 124

KRASSIMIR T. ATANASSOV, On the 46-th Smarandache Problem 126LIU HONGYAN, ZHANG WENPENG, On the Divisor Product and Proper Divisor ProductSequences 128

HENRY BOTTOMLEY, Some Smarandache-Type Multiplicative Functions 134

DAVID GORSKI, The Pseudo-Smarandache Function 140

ZHANG WENPENG, On the Symmetric Sequence and Some of its Properties 150


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ZHANG WENPENG, On the Permutation Sequence and some of its Properties 153

LIU HONGYAN, ZHANG WENPENG, A Number Theoretic Function and its Mean ValueProperty ..155

FELICE RUSSO, An Introduction to the Smarandache Square Complementary Function 160

ZHANG WENPENG, LIU DUANSEN, On the Primitive Number of Power P and itsAsymptotic Property 173

ZHANG WENPENG, On an Equation of Smarandache and its Integer Solutions . 176

ZHANG WENPENG, A New Sequence Related to Smarandache Sequences and its MeanValue Formula .. 179

FELICE RUSSO, Five Properties of the Smarandache Double Factorial Function 183

ZHANG WENPENG, YI YUAN, On a Problem of F. Smarandache 186

ZHANG WENPENG, On a Smarandache-Lucas Base and Related Counting Function 191

J. SNDOR, On a Generalized Bisector Problem 197

WANG YANG, ZHANG HONG LI, On a Conjecture of F. Smarandache 199

FENG LIU, Paradoxes Review 200

XIGENG CHEN, The Equation "2(k+2, S(n))= "2(k+1, S(n))+ "2(k, S(n)) .... 204XIGENG CHEN, The Equation $2(k+2, S(n))= $2(k+1, S(n))+ $2(k, S(n)) . ... 206MAOHUA LE, On the Smarandache Double Factorial Function 209

MAOHUA LE, On the Pseudo-Smarandache Square Free Function 229

MAOHUA LE, The Equation S(1x2)+ S(2x3)++ S(n(n+1))=S(n(n+1)(n+2)/3)) .. 237

MAOHUA LE, Some Conjectures on Primes (I) .. 239

MAOHUA LE, Some Conjectures on Primes (II) .. 241

MAOHUA LE, Some Conjectures on Primes (III) ... 243W. B. VASANTHA KANDASAMY, Smarandache Cosets .. 245

W. B. VASANTHA KANDASAMY, Smarandache Loops .. 252

S. M. TABIRCA, I. PITT, D. MURPHY, A Discrete Model for Histogram Shaping 259

JOZSEF SANDOR, On an Additive Analogue of the Function S . 266

PHYSICS:LEONARDO F. D. DA MOTTA, Hiptese de Smarandache: Evidncias, Implicaes Aplicaes [Portuguese] ................................ 271

JASON WRIGHT, Superluminals and the Speed of Light .................................................... 276FELICE RUSSO, Faster Than Light? 281

REVIEW ... 285


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smarandache notions journal, vol. 13

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