Scientific Articles, Notes, or Definitions

published in various books

(mathematics, statistics, engineering, philosophy, social science, economy)

[Vol. V]

 

 

*      Sayed Elagan: SOME REMARKS ON FUZZY N-NORMED SPACES. In International Journal of Mathematical Combinatorics, Vol. 2 (2009), pp. 39-45.

*      Liang Fangchi: GENERALIZATION OF THE DIVISOR PRODUCTS AND PROPER DIVISOR PRODUCTS SEQUENCES. In Scientia Magna, Vol. 1, No. 1, pp. 29-32.

*      Yao Weili: ON THE GENERALIZATION OF THE FLOOR OF THE SQUARE ROOT SEQUENCE. In Scientia Magna, Vol. 1, No. 1, pp. 183-186.

*      Hailong Li: A GENERALIZATION OF THE SMARANDACHE FUNCTION. In Scientia Magna, Vol. 4 (2008), No. 1, pp. 31-34.

*      Qianli Yang: ON THE GENERALIZED CONSTRUCTIVE SET. In Scientia Magna, Vol. 2 (2006), No. 2, pp. 91-94.

*      Chuan Lv: ON A GENERALIZED EQUATION OF SMARANDACHE AND ITS INTEGER SOLUTIONS. In Scientia Magna, Vol. 2 (2006), No. 2, pp. 82-84.

*      George Gregory: GENERALIZED SMARANDACHE PALINDROME. In Notes on Number Theory and Discrete Mathematics, No. 19 (2003) 2, p. 41.

*      Liangxia Wan: GENUS DISTRIBUTION FOR A GRAPH. In International Journal of Mathematical Combinatorics, Vol. 4 (2009), pp. 99-109.

*      Linfan Mao: GLOBAL STABILITY OF NON-SOLVABLE ORDINARY DIFFERENTIAL EQUATIONS WITH APPLICATIONS. In International Journal of Mathematical Combinatorics, Vol. 1 (2013), pp. 1-37.

*      M. A. Perumal, S. Navaneethakrishnan and A. Nagarajan: LUCAS GRACEFUL LABELING FOR SOME GRAPHS. In International Journal of Mathematical Combinatorics, Vol. 1 (2011), pp. 1-19.

*      S. Somasundaram, A. Nagarajan: GRAPHOIDAL TREE d-COVER. In International Journal of Mathematical Combinatorics, Vol. 2 (2009), pp. 66-78.

*      Arun S. Muktibodh: SMARANDACHE HALF-GROUPS. In International Journal of Mathematical Combinatorics, Vol. 2 (2008), pp. 46-50.

*      D. D. Somashekara and C. R. Veena: ON SMARANDACHELY HARMONIC GRAPHS. In International Journal of Mathematical Combinatorics, Vol. 4 (2009), pp. 75-83.

*      M. Seenivasan, A. Lourdusamy: ABSOLUTELY HARMONIOUS LABELING OF GRAPHS. In International Journal of Mathematical Combinatorics, Vol. 2 (2011), pp.40-51.

*      R. Rangarajan and M. S. Subramanya, P. Siva Kota Reddy: THE H-LINE SIGNED GRAPH OF A SIGNED GRAPH. In International Journal of Mathematical Combinatorics, Vol. 2 (2010), pp. 37- 43.

*      Temitope Gbolahan Jaiyeoda: AN HOLOMORPHIC STUDY OF THE SMARANDACHE CONCEPT IN LOOPS. In Scientia Magna, Vol. 2 (2006), No. 1, pp. 1-8.

*      Temitope Gbolahan Jaiyeoda: AN HOLOMORPHIC STUDY OF SMARANDACHE AUTOMORPHIC AND CROSS INVERSE PROPERTY LOOPS. In Scientia Magna, Vol. 4 (2008), No. 1, pp. 102-108.

*      Chan Shi: ON THE HYBRID MEAN VALUE OF THE SMARANDACHE kn-DIGITAL SEQUENCE AND SMARANDACHE FUNCTION. In Scientia Magna, Vol. 6 (2010), No. 4, pp. 20-23.

*      Liu Huaning, Gao Jing: HYBRID MEAN VALUE ON SOME SMARANDACHE TYPE MULTIPLICATIVE FUNCTIONS AND THE MANGOLDT FUNCTION. In Scientia Magna, Vol. 1, No. 1, pp. 149-151.

*      Baohuai Shi: THE HYBRID MEAN VALUE OF THE SMARANDACHE FUNCTION AND THE MANGOLDT FUNCTION. In Scientia Magna, Vol. 2 (2006), No. 4, pp. 98-100.

*      Le Huan: ON THE HYBRID MEAN VALUE OF THE SMARANDACHE kn DIGITAL SEQUENCE WITH SL(n) FUNCTION AND DIVISOR FUNCTION d(n). In Scientia Magna, Vol. 8 (2012), No. 1, pp. 31-36.

*      R. Manoharan, R. Vasuki, R. Manisekaran: IDEAL GRAPH OF A GRAPH. In International Journal of Mathematical Combinatorics, Vol. 3 (2011), pp. 11-16.

*      W. B. Vasantha and Moon K. Chetry: SMARANDACHE IDEM POTENTS. In Scientia Magna, Vol. 1 (2005), No. 2, pp. 179-187.

*      W. B. Vasantha and Moon K. Chetry: SMARANDACHE IDEMPOTENTS IN LOOP RINGS. In Scientia Magna, Vol. 1 (2005), No. 2, pp. 188-195.

*      Yu Wang: SOME IDENTITIES INVOLVING THE NEAR PSEUDO SMARANDACHE FUNCTION. In Scientia Magna, Vol. 3 (2007), No. 2, pp. 44-49.

*      Xiaowei Pan and Pei Zhang: AN IDENTITY INVOLVING THE FUNCTION ep(n). In Scientia Magna, Vol. 3 (2007), No. 3, pp. 26-29.

*      Jon Perry: AN IMPROVED ALGORITHM FOR CALCULATING THE SUM OF FACTORIALS FUNCTION. In Scientia Magna,  Vol. 1, No. 1, pp. 75-77.

*      Germina K. A. and Beena Koshy: INDEPENDENT COMPLEMENTARY DISTANCE PATTERN UNIFORM GRAPHS. In International Journal of Mathematical Combinatorics, Vol. 4 (2009), pp. 63-74.

*      Chaoping Chen: INEQUALITIES FOR THE POLYGAMMA FUNCTIONS WITH APPLICATION. In Scientia Magna, Vol. 1 (2005), No. 2, pp. 91-95.

*      Weiyi Zhu: AN INEQUALITY OF THE SMARANDACHE FUNCTION. In Scientia Magna, Vol. 4 (2008), No. 1, pp. 130-133.

*      K. S. Chandra Sekhar Rao: INFINITE SMARANDACHE GROUPOIDS. In Scientia Magna, Vol. 6 (2010), No. 1, pp. 121-124.

*      Jing Li: AN INFINITY SERIES INVOLVING THE SMARANDACHE-TYPE FUNCTION. In Scientia Magna, Vol. 3 (2007), No. 3, pp. 52-55.

*      Zhang Tianping, Ma Yuankui: ON THE INTEGER PART OF THE K-TH ROOT OF A POSITIVE INTEGER. In Scientia Magna, Vol. 1, No. 1, pp. 5-8.

*      Xiaoying Du: ON THE INTEGER PART OF THE M-TH ROOT AND THE LARGEST M-TH POWER NOT EXCEEDING N. In Scientia Magna, Vol. 2 (2006), No. 4, pp. 91-94.

*      Yang Hai, Fu Ruiqin: ON THE INTEGER PART OF A POSITIVE INTEGER’S K-TH ROOT. In Scientia Magna, Vol. 1, No. 1, pp. 61- 66.

*      Kang Xiaoyu: SOME INTERESTING PROPERTIES OF THE SMARANDACHE FUNCTION. In Scientia Magna, Vol. 1 (2005), No. 2, pp. 52-54.

*      THE FIRST INTERNATIONAL CONFERENCE ON SMARANDACHE MULTISPACE AND MULTISTRUCTURE. In International Journal of Mathematical Combinatorics, Vol. 2 (2013), pp. 116-117.

*      Linfan Mao: AN INTRODUCTION TO SMARANDACHE MULTI-SPACES AND MATHEMATICAL COMBINATORICS. In Scientia Magna, Vol. 3 (2007), No. 1, pp. 54-80.

*      A. A. K. Majumdar: A NOTE ON THE SMARANDACHE INVERSION SEQUENCE. In Scientia Magna, Vol. 3 (2007), No. 3, pp. 30-35.

*      Jianbin Chen: AN EQUATION INVOLVING THE F. SMARANDACHE MULTIPLICATIVE FUNCTION. In Scientia Magna, Vol. 3 (2007), No. 2, pp. 60-65.

*      Temitope Gbolahan Jaiyeoda: A PAIR OF SMARANDACHELY ISOTOPIC QUASIGROUPS AND LOOPS OF THE SAME VARIETY. In International Journal of Mathematical Combinatorics, Vol. 1 (2008), pp. 36-44.

*      Temitope Gbolahan Jaiyeoda: SMARANDACHE ISOTOPY OF SECOND SMARANDACHE BOL LOOPS. In Scientia Magna, Vol. 7 (2011), No. 1, pp. 82-93.

*      Guanghua Dong, Ning Wang, Yuanqiu Huang and Yanpei Liu: JOINT-TREE MODEL AND THE MAXIMUM GENUS OF GRAPHS. In International Journal of Mathematical Combinatorics, Vol. 4 (2012), pp. 80-91.

*      H. A. Malathi and H. C. Savithri: A NOTE ON JUMP SYMMETRIC n-SIGRAPH. In International Journal of Mathematical Combinatorics, Vol. 2 (2010), pp. 65-67.

*      Qing Tian: ON THE K-POWER FREE NUMBER SEQUENCE. In Scientia Magna, Vol. 2 (2006), No. 2, pp. 77-81.

*      Yang Hai: ON THE K-POWER PART RESIDUE FUNCTION. In Scientia Magna, Vol. 1, No. 1, pp. 141-144.

*      Linfan Mao: LABELING, COVERING AND DECOMPOSING OF GRAPHS -SMARANDACHE’S NOTION IN GRAPH THEORY. In International Journal of Mathematical Combinatorics, Vol. 3 (2010), pp. 108-124.

*      Chengliang Tian and Na Yuan: ON THE SMARANDACHE LCM DUAL FUNCTION. In Scientia Magna, Vol. 3 (2007), No. 2, pp. 25-28.

*      Yanyan Liu and Jianghua Li: ON THE F. SMARANDACHE LCM FUNCTION AND ITS MEAN VALUE. In Scientia Magna, Vol. 3 (2007), No. 4, pp. 52-55.

*      Zhongtian Lv: ON THE F. SMARANDACHE LCM FUNCTION AND ITS MEAN VALUE. In Scientia Magna, Vol. 3 (2007), No. 1, pp. 22-25.

*      Qiuhong Zhao  and Yang Wang:  A LIMIT PROBLEM OF THE SMARANDACHE DUAL FUNCTION S**(n). In Scientia Magna,  Vol. 5 (2009), No. 3, pp. 87-90.

*      Linfan Mao: LINEAR ISOMETRIES ON PSEUDO-EUCLIDEAN SPACE. In International Journal of Mathematical Combinatorics, Vol. 1 (2012), pp. 1-12.

*      P. Siva Kota Reddy, Kavita. S. Permi and B. Prashanth: A Note On Line Graphs. In International J.Math. Combin. Vol.1 (2011), pp.119-122.

*      P. Siva Kota Reddy, K. M. Nagaraja  and M. C. Geetha: THE LINE n-SIGRAPH OF A SYMMETRIC n-SIGRAPH-IV. In International Journal of Mathematical Combinatorics, Vol. 1 (2012), pp. 106-112.

*      Yongga A., Zhiren Sun: LONG DOMINATING CYCLES IN GRAPHS. In International Journal of Mathematical Combinatorics, Vol. 1 (2007), No. 1, pp. 94-109.

*      Xiang Ren, Wei Li He and Lin Zhao: A NOTE ON THE MAXIMUM GENUS OF GRAPHS WITH DIAMETER 4. In International Journal of Mathematical Combinatorics, Vol. 1 (2007), No. 1, pp. 87-93.

*      R. Vasuki, S. Arockiaraj: ON MEAN GRAPHS. In International Journal of Mathematical Combinatorics, Vol. 3 (2013), pp. 22-34.

*      Zhu Minhui: MEAN VALUE OF THE ADDITIVE ANALOGUE OF SMARANDACHE FUNCTION. In Scientia Magna, Vol. 1, No. 1, pp. 179-182.

*      Liu Yanni, Gao Peng: MEAN VALUE OF A NEW ARITHMETIC FUNCTION. In Scientia Magna, Vol. 1, No. 1, pp. 187-189.

*      Zhu Minhui: ON THE MEAN VALUE OF THE SMARANDACHE DOUBLE FACTORIAL FUNCTION. In Scientia Magna, Vol. 1, No. 1, pp. 197-201.

*      Xiaoying Du: ON THE MEAN VALUE OF THE SMARANDACHE LCM FUNCTION SL(n). In Scientia Magna, Vol. 2 (2006), No. 2, pp. 85-90.

*      Hai Yang and Ruiqin Fu: ON THE MEAN VALUE OF THE NEAR PSEUDO SMARANDACHE FUNCTION. In Scientia Magna, Vol. 2 (2006), No. 2, pp. 35-39.

*      Jia Wang: MEAN VALUE OF A SMARANDACHE-TYPE FUNCTION. In Scientia Magna,  Vol. 2 (2006), No. 2, pp. 31-34.

*      Yi Yuan and Zhang Wenpeng: MEAN VALUE OF THE ADDITIVE ANALOGUE OF SMARANDACHE FUNCTION. In Scientia Magna, Vol. 1, No. 1, pp. 145-147.

*      Jian Ge: MEAN VALUE OF F. SMARANDACHE LCM FUNCTION. In Scientia Magna, Vol. 3 (2007), No. 2, pp. 109-112.

*      Xiaoyan Li: ON THE MEAN VALUE OF THE SMARANDACHE LCM FUNCTION. In Scientia Magna, Vol. 3 (2007), No. 3, pp. 58-62.

*      Wang Xiaoying: ON THE MEAN VALUE OF THE SMARANDACHE CEIL FUNCTION. In Scientia Magna, Vol. 2 (2006), No. 1, pp. 42-44.

*      B. Basavanagoud and Sunilkumar M. Hosamani: MEDIATE DOMINATING GRAPH OF A GRAPH. In International Journal of Mathematical Combinatorics, Vol. 3 (2011), pp. 68-75.

*      Cătălin Barbu: MENELAUS'S THEOREM FOR HYPERBOLIC QUADRILATERALS IN THE EINSTEIN RELATIVISTIC VELOCITY MODEL OF HYPERBOLIC GEOMETRY. In Scientia Magna, Vol. 6 (2010), No. 1, pp. 19-24.

*      E. El-Ahmady and H. Rafat: MINIMAL RETRACTION OF SPACE-TIME AND THEIR FOLDINGS. In International Journal of Mathematical Combinatorics, Vol. 4 (2009), pp. 49-55.

*      Dengju Ma: MINIMUM CYCLE BASE OF GRAPHS IDENTIFIED BY TWO PLANAR GRAPHS. In International Journal of Mathematical Combinatorics, Vol. 1 (2007), No. 1, pp. 59-66.

*      Jozsef Sandor: THE SMARANDACHE MINIMUM AND MAXIMUM FUNCTIONS. In Scientia Magna, Vol. 1 (2005), No. 2, pp. 162-166.

*      S. Arumugam  and S. Sudha: MIN-MAX DOM-SATURATION NUMBER OF A TREE. In International Journal of Mathematical Combinatorics, Vol. 2 (2010), pp. 45-52.

*      M. E. Basher: σ-COLORING OF THE MONOHEDRAL TILING. In International Journal of Mathematical Combinatorics, Vol. 2 (2009), pp. 46-52.

*      Zhang Xiaobeng: ON THE M-POWER COMPLEMENT NUMBERS. In Scientia Magna, Vol. 1, No. 1, pp. 171-174.

*      Arun S. Muktibodh: SMARANDACHE MUKTI-SQUARES. In Scientia Magna, Vol. 3 (2007), No. 1, pp. 102-107.

*      Linfan Mao: ON MULTI-METRIC SPACES. In Scientia Magna, Vol. 2 (2006), No. 1, pp. 87-94.

*      Liu Yanni, Gao Peng: SMARANDACHE MULTIPLICATIVE FUNCTION. In Scientia Magna, Vol. 1, No. 1, pp. 13-107.

*      Linfan Mao: ON ALGEBRAIC MULTI-RING SPACES. In Scientia Magna, Vol. 2 (2006), No. 2, pp. 48-54.

*      Jin Zhang and Pei Zhang: THE MEAN VALUE OF A NEW ARITHMETICAL FUNCTION. In Scientia Magna, Vol. 4 (2008), No. 1, pp. 79-82.

*      Lin Cheng: ON THE MEAN VALUE OF THE PSEUDO-SMARANDACHE FUNCTION. In Scientia Magna, Vol. 3 (2007), No. 3, pp. 97-100.

*      Xuhui Fan and Chengliang Tian: ON THE MEAN VALUE OF THE PSEUDO-SMARANDACHE-SQUAREFREE FUNCTION. In Scientia Magna, Vol. 4 (2008), No. 1, pp. 86-89.

*      Constantin Dumitrescu: A BRIEF HISTORY OF THE "SMARANDACHE FUNCTION". In Smarandache Function Journal, Vol. 2-3, 1993, pp. 3-10.

*      John C. McCarthy: EXAMPLE IMPLEMENTATION OF A SIMPLE ALGORITHM TO CALCULATE S(n). In Smarandache Function Journal, Vol. 2-3, 1993, pp. 21-22.

*      John C. McCarthy: EXAMPLE IMPLEMENTATION OF A SIMPLE ALGORITHM TO CALCULATE S(n). In Smarandache Function Journal, Vol. 2-3, 1993, pp. 23-31.

*      Pal Gronas: A PROOF OF THE NON-EXISTENCE OF  “SAMMA”. In Smarandache Function Journal, Vol. 2-3, 1993, pp.33-34.

*      Henry Ibstedt: THE FLORENTIN SMARANDACHE FUNCTION S(n). In Smarandache Function Journal, Vol. 2-3, 1993, pp. 38-41.

*      H. Ibstedt: The SMARANDACHE FUNCTION S(n) DISTR. In Smarandache Function Journal, Vol. 2-3, 1993, pp. 55-56.

*      M. Andrei, C. Dumitrescu, V. Seleacu, L. Tutescu, St. Zanfir: SOME REMARKS ON THE SMARANDACHE FUNCTION. In Smarandache Function Journal, Vol. 4-5, No. 1-2-3, 1994, pp. 3-7.

*      Ion Balacenoiu: SMARANDACHE NUMERICAL FUNCTIONS. In Smarandache Function Journal, Vol. 4-5, No. 1-2-3, 1994, pp. 8-15.

*      Pal Gronas: THE SOLUTION OF THE DIOPHANTINE EQUATION. In Smarandache Function Journal, Vol. 4-5, No. 1-2-3, 1994, pp. 16-18.

*      E. Rădescu, N. Rădescu, C. Dumitrescu: ON THE SUMATORY FUNCTION ASSOCIATED TO THE SMARANDACHE FUNCTION. In Smarandache Function Journal, Vol. 4-5, No. 1-2-3, 1994, pp. 19-23.

*      J. R. Sutton: CALCULATING THE SMARANDACHE FUNCTION FOR POWERS OF A PRIME. In Smarandache Function Journal, Vol. 4-5, No. 1-2-3, 1994, pp. 26-28.

*      J. R. Sutton: CALCULATING THE SMARANOACHE FUNCTION WITHOUT FACTORISING. In Smarandache Function Journal, Vol. 4-5, No. 1-2-3, 1994, pp. 29-33.

*      Henry Ibstedt: AN ILLUSTRATION OF THE DISTRIBUTION OF THE SMARANDACHE FUNCTION. In Smarandache Function Journal, Vol. 4-5, No. 1-2-3, pp. 36-37.

*      Marcela Popescu, Paul Popescu and Vasile Seleacu: ON SOME NUMERICAL FUNCTIONS. In Smarandache Function Journal, Vol. 6, No. 1-2-3, 1995, pp. 3-5.

*      I. Bălăcenoiu, V. Seleacu, N. Vârlan: PROPERTIES OF THE NUMERICAL FUNCTION Fs. In Smarandache Function Journal, Vol. 6, No. 1-2-3, 1995, p. 6-10.

*      Vasile Seleacu, Narcisa VarIan: ON A LIMIT OF A SEQUENCE OF THE NUMERICAL FUNCTION. In Smarandache Function Journal, Vol. 6, No. 1-2-3, 1995, pp. 11-12.

*      Emil Burton: ON SOME SERIES INVOLVING SMARANDACHE FUNCTION. In Smarandache Function Journal, Vol. 6, No. 1-2-3, 1995, pp. 13-15.

*      I. Bălăcenoiu, Vasile Seleacu: SOME PROPERTIES OF SMARANDACHE FUNCTIONS OF THE TYPE I. In Smarandache Function Journal, Vol. 6, No. 1-2-3, 1995, pp. 16-20.

*      Ion Bălăcenoiu, Marcela Popescu and Vasile Seleacu: ABOUT THE SMARANDACHE SQUARE’S COMPLEMENTARY FUNCTION. In Smarandache Function Journal, Vol. 6, No. 1-2-3, 1995, pp. 37-43.

*      Tomită Tiberiu Florin: SOME REMARKS CONCERNING THE DISTRIBUTION OF THE SMARANDACHE FUNCTION. In Smarandache Function Journal, Vol. 6, No. 1-2-3, 1995, pp. 44-49.

*      E. Radescu, N. Radescu, C. Dumitrescu: SOME ELEMENTARY ALGEBRAIC CONSIDERATIONS INSPIRED BY THE SMARANDACHE FUNCTION. In Smarandache Function Journal, Vol. 6, No. 1-2-3, 1995, pp. 50-54.

*      Ion Bălăcenoiu and Constantin Dumitrescu: SMARANDACHE FUNCTIONS OF THE SECOND KIND. In Smarandache Function Journal, Vol. 6, No. 1-2-3, 1995, pp. 55-58.

*      Marcela Popescu and Paul Popescu: THE PROBLEM OF LIPSCHITZ CONDITION. In Smarandache Function Journal, Vol. 6, 1995, No. 1-2-3, pp. 59-63.

*      Constantin Dumitrescu: A BRIEF HISTORY OF SMARANDACHE FUNCTION (III). In Smarandache Function Journal, Vol. 6, No. 1-2-3, 1995, pp. 64-67.

*      L. Seagull: A GENERALIZATION OF A PROBLEM OF STUPARU. In Smarandache Function Journal, Vol. 6, 1995, No. 1-2-3, p. 71.

*      Sandor Jozsef: ON CERTAIN INEQUALITIES INVOLVING THE SMARANDACHE FUNCTION. In Smarandache Notions Journal, Vol. 7, No. 1-2-3, 1996, pp. 3-6.

*      EmiL Burton: ON SOME  CONV'ERGENT SERIES. In Smarandache Notions Journal, Vol. 7, No. 1-2-3, 1996, pp. 7-9.

*      Lucian Tulescu and Emil Burton: ON SOME DIOPHANTINE EQUATIONS. In Smarandache Notions Journal, Vol. 7, No. 1-2-3, 1996, pp. 10-11.

*      Marcela POPESCU and Vasile SELEACU: ABOUT THE SMARANDACHE COMPLEMENTARY PRIME FUNCTION. In Smarandache Notions Journal, Vol. 7, No. 1-2-3, 1996, pp. 12-22.

*      Ion Balacenoiu and V. Seleacu: ON THREE NUMERICAL FUNCTIONS. In Smarandache Notions Journal, Vol. 7, No. 1-2-3, 1996, pp. 34-38.

*      Ion BăIăcenoiu: THE MONOTONY OF SMARANDACHE FUNCTIONS OF FIRST KIND. In Smarandache Notions Journal, Vol. 7, No. 1-2-3, 1996, pp. 39-45.

*      M. R. Mudge: THE SMARANDACHE NEAR-TO-PRIMORIAL (S.N.T.P.) FUNCTION. In Smarandache Notions Journal, Vol. 7, No. 1-2-3, 1996, p. 46.

*      Charles Ashbacher: A NOTE ON THE SMARANDACHE NEAR-TO-PRIMORIAL FUNCTION. In Smarandache Notions Journal, Vol. 7, No. 1-2-3, 1996, pp. 47-50.

*      M. R. Mudge: INTRODUCING THE SMARANDACHE-KUREPA AND SMARANDACHE-WAGSTAFF FUNCTIONS. In Smarandache Notions Journal, Vol. 7, No. 1-2-3, 1996, pp. 53-54.

*      Marcela Popescu and Mariana Nicolescu: ABOUT THE SMARANDACHE COMPLEMENTARY CUBIC FUNCTION. In Smarandache Notions Journal, Vol. 7, No. 1-2-3, 1996, pp. 55-63.

*      M. Andrei, C. Dumitrescu, E. Rădescu, N. Rădescu: SOME CONSIDERATIONS CONCERNING THE SUMATORY FUNCTION ASSOCIATED TO SMARANDACHE FUNCTION. In Smarandache Notions Journal, Vol. 7, No. 1-2-3, 1996, pp. 64-70.

*      E. Radescu, N. Radescu and C. Dumitrescu: SOME ELEMENTARY ALGEBRAIC CONSIDERATIONS INSPIRED BY SMARANDACHE'S FUNCTION (II). In Smarandache Notions Journal, Vol. 7, No. 1-2-3, 1996, pp. 71-78.

*      M. Andrei, I. Balacenoiu, C. Dumitrescu, E. RiIdescu, N. RiIdescu, V. Seleacu: A LINEAR COMBINATION WITH SMARANDACHE FUNCTION TO OBTAIN THE IDENTITY. In Smarandache Notions Journal, Vol. 7, No. 1-2-3, 1996, pp. 79-83.

*      M. R. Mudge: EXAMPLES OF SMARANDACHE MAGIC SQUARES. In Smarandache Notions Journal, Vol. 7, No. 1-2-3, 1996, pp. 84-86.

*      Henry Ibstedt: BASE SOLUTIONS (THE SMARANDACHE FUNCTION). In Smarandache Notions Journal, Vol. 7, No. 1-2-3, 1996, pp. 87-90.

*      Henry: ON RADU'S PROBLEM. In Smarandache Notions Journal, Vol. 7, No. 1-2-3, 1996, pp. 97-99.

*      E. Burton, I. Cojocaru, S. Cojocaru, C. Dunitrescu: SOME CONVERGENCE PROBLEMS INVOLVING THE SMARANDACHE FUNCTION. In Smarandache Notions Journal, Vol. 7, No. 1-2-3, 1996, pp. 100-107.

*      Albert A. Mullin: ON THE SMARANDACHE FUNCTION AND THE FIXED - POINT THEORY OF NUMBERS. In Smarandache Notions Journal, Vol. 7, No. 1-2-3, 1996, p. 18.

*      C. Dumitrescu,  C. Rocsoreanu: ON THE CALCULUS OF SMARANDACHE FUNCTION. In Smarandache Notions Journal, Vol. 7, No. 1-2-3, 1996, pp. 110-117.

*      Ion Cojocaru and Sorin Cojocaru: THE FIRST CONSTANT OF SMARANDACHE. In Smarandache Notions Journal, Vol. 7, No. 1-2-3, 1996, pp. 118-12.

*      Ion Cojocaru and Sorin Cojocaru: THE SECOND CONSTANT OF SMARANDACHE. In Smarandache Notions Journal, Vol. 7, No. 1-2-3, 1996, pp. 121-122.

*      Ion Cojocaru and Sorin Cojocaru: THE THIRD AND FOURTH CONSTANTS OF SMARANDACHE. In Smarandache Notions Journal, Vol. 7, No. 1-2-3, 1996, pp. 123-128.

*      Michael R. Mudge: A PARADOXICAL MATHEMATICIAN: HIS FUNCTION, PARADOXIST GEOMETRY AND CLASS OF PARADOXES. In Smarandache Notions Journal, Vol. 7, No. 1-2-3, 1996, pp. 129-131.

*      H. Ibstedt:  SMARANDACHE - FIBONACCI TRIPLETS. In Smarandache Notions Journal, Vol. 7, No. 1-2-3, 1996, pp. 132-135.

*      Ion Cojocaru and Sorin Cojocaru: THE SOLUTION OF SOME DIOPHANTINE EQUATIONS RELATED TO SMARANDACHE FUNCTION. In Smarandache Notions Journal, Vol. 7, No. 1-2-3, 1996, p. 136.

*      Charles Ashbacher: PROBLEMS. In Smarandache Notions Journal, Vol. 7, No. 1-2-3, 1996, pp. 138-140.

*      M. Bencze: PROPOSED PROBLEMS. In Smarandache Notions Journal, Vol. 7, No. 1-2-3, 1996, pp. 141-143.

*      Charles Ashbacher: UNSOLVED PROBLEMS. In Smarandache Notions Journal, Vol. 7, No. 1-2-3, 1996, pp. 146-150.

*      Henry Ibstedt: ON SMARANDACHE'S PERIODIC SEQUENCES. In Smarandache Notions Journal, Vol. 8, No. 1-2-3, 1997, pp. 6-15.

*      Florian Luca: PRODUCTS OF FACTORIALS IN SMARANDACHE TYPE EXPRESSIONS. In Smarandache Notions Journal, Vol. 8, No. 1-2-3, 1997, pp.16-28.

*      Y. V. Chebrakov: ANALYTICAL FORLMULAE AND ALGORITHMS FOR CONSTRUCTING MAGIC SQUARES FROM AN ARBITRARY SET OF 16 NUMBERS. In Smarandache Notions Journal, Vol. 8, No. 1-2-3, 1997, pp. 29-46.

*      Charles Ashbacher: PALINDROMIC NUMBERS AND ITERATIONS OF THE PSEUDO-SMARANDACHE FUNCTION. In Smarandache Notions Journal, Vol. 8, No. 1-2-3, 1997, pp. 47-48.

*      Sabin Tabirca, Tatiana Tabirca: COMPUTATIONAL ASPECT OF SMARANDACHE'S FUNCTION. In Smarandache Notions Journal, Vol. 8, No. 1-2-3, 1997, pp. 49-53.

*      Y. V. Chebrakov, V. V. Shmagin: THE ANALYTICAL FORMULAE YIELDING SOME SMARANDACHE NUMBERS AND APPLICATIONS IN MAGIC SQUARES THEORY. In Smarandache Notions Journal, Vol. 8, No. 1-2-3, 1997, pp. 54-63.

*      Florian Luca: PERFECT POWERS IN SMARANDACHE TYPE EXPRESSIONS. In Smarandache Notions Journal, Vol. 8, No. 1-2-3, 1997, pp. 64-81.

*      Vera W. de Spinade: NEW SMARANDACHE SEQUENCES: THE FAMILY OF METALLIC MEANS. In Smarandache Notions Journal, Vol. 8, No. 1-2-3, 1997, pp. 82-117.

*      Vasile Seleacu, Constantin A. Dumitrescu: THE EQUATIONS m·S(m) = n·S(n) AND m·S(n) = n·S(m) HAVE INFINITILY MANY SOLUTIONS. In Smarandache Notions Journal, Vol. 8, No. 1-2-3, 1997, pp. 118-124.

*      Sandor Jozsef: ON THE IRRATIONALITY OF CERTAIN ALTERNATIVE SMARANDACHE SERIES. In Smarandache Notions Journal, Vol. 8, No. 1-2-3, 1997, pp. 125-126.

*      E. Radescu and N. Radescu: SOME ELEMENTARY ALGEBRAIC CONSIDERATIONS INSPIRED BY SMARANDACHE TYPE FUNCTIONS. In Smarandache Notions Journal, Vol. 8, No. 1-2-3, 1997, pp. 127-131.

*      Lamarr Widmer: CONSTRUCTION OF ELEMENTS OF THE SMARANDACHE SQUARE-PARTIAL-DIGITAL SUBSEQUENCE. In Smarandache Notions Journal, Vol. 8, No. 1-2-3, 1997, pp. 132-133.

*      E. Radescu and N. Radescu: SOME CONSIDERATIONS CONCERNING THE SUMATORY FUNCTION ASSOCIATED TO GENERALISED SMARANDACHE FUNCTION. In Smarandache Notions Journal, Vol. 8, No. 1-2-3, 1997, pp. 139-141.

*      Ion Bălăcenoiu: THE SEMILATTICE WITH CONSISTENT RETURN. In SMARANDACHE NOTIONS JOURNAL, Vol. 8, No. 1-2-3, 1997, pp. 152-159.

*      Ion Cojocaru and Sorin Cojocaru: ON A FUNCTION IN THE NUMBERS THEORY. In Smarandache Notions Journal, Vol. 8, No. 1-2-3, 1997, pp. 160-165.

*      Stefan Porubsky: ON SMARANDACHE'S FORM OF THE INDIVIDUAL FERMAT-EULER THEOREM. In Smarandache Notions Journal, Vol. 8, No. 1-2-3, 1997, pp. 166-181.

*      Henry Ibstedt: A FEW SMARANDACHE INTEGER SEQUENCES. In Smarandache Notions Journal, Vol. 8, No. 1-2-3, 1997, pp. 182-195.

*      S. A. Yasinskiy, V. V. Shmagin, Y. V. Chebrakov: THE SYSTEM-GRAPHICAL ANALYSIS OF SOME NUMERICAL SMARANDACHE SEQUENCES. In Smarandache Notions Journal, Vol. 8, No. 1-2-3, 1997, pp. 196-208.

*      Dumitrescu and R. Muller: TO ENJOY IS A PERMANENT COMPONENT OF MATHEMATICS. In Smarandache Notions Journal, Vol. 9,No. 1-2-3, 1998, pp. 11-26.

*      Sabin Tabirca, Tatiana Tabirca: THE CONVERGENCE OF SMARANDACHE HARMONIC SERIES. In Smarandache Notions Journal, Vol. 9, No. 1-2-3, 1998, pp. 27-35.

*      Raul Padilla: SMARANDACHE ALGEBRAIC STRUCTURES. In Smarandache Notions Journal, Vol. 9, No. 1-2-3, 1998, pp. 36-38.

*      Jose Castillo: SMARANDACHE CONTINUED FRACTIONS. In Smarandache Notions Journal, Vol. 9, No. 1-2-3, 1998, pp. 39-41.

*      Sandy P. Chimienti, Mihaly Bencze: SMARANDACHE PARADOXIST GEOMETRY. In Smarandache Notions Journal, Vol.9, No. 1-2-3, 1998, pp. 42-43.

*      Sandy P. Chimienti, Mihaly Bencze: SMARANDACHE NON-GEOMETRY. In Smarandache Notions Journal, Vol.9, No. 1-2-3, 1998, pp. 44-45.

*      Sandy P. Chimienti, Mihaly Bencze: SMARANDACHE COUNTER-PROJECTIVE GEOMETRY. In Smarandache Notions Journal, Vol.9,No.1-2-3,1998, pp. 46-47.

*      Sandy P. Chimienti, Mihaly Bencze: SMARANDACHE ANTI-GEOMETRY. In Smarandache Notions Journal, Vol. 9, No. 1-2-3, 1998, pp. 48-62.

*      Jozsef Sandor: ON CERTAIN NEW INEQUALITIES AND LIMITS FOR THE SMARANDACHE FUNCTION. In Smarandache Notions Journal, Vol. 9, No.1-2-3, 1998, pp. 62-69.

*      Charles Ashbacher: THE PSEUDO-SMARANDACHE FUNCTION AND THE CLASSICAL FUNCTIONS OF NUMBER THEORY. In Smarandache Notions Journal, Vol. 9, No. 1-2-3, 1998, pp. 78-81.

*      Sabin Tabirca, Tatiana Tabirca: TWO FUNCTIONS IN NUMBER THEORY AND SOME UPPER BOUNDS FOR THE SMARANDACHE'S FUNCTION. In Smarandache Notions Journal, Vol. 9, No. 1-2-3, 1998, pp. 82-91.

*      M.R. Popov: THE SMARANDACHE PERIODICAL SEQUENCES. In Smarandache Notions Journal, Vol. 9, No. 1-2-3, 1998, pp. 92-94.

*      Maohua Le and Kejian Wu: THE PRIMES IN SMARANDACHE POWER PRODUCT SEQUENCES. In Smarandache Notions Journal, Vol. 9, No. 1-2-3, 1998, pp. 95-96.

*      Yongdong Guo and Maohua Le: SMARANDACHE CONCATENATED POWER DECIMALS AND THEIR IRRATIONALITY. In Smarandache Notions Journal, Vol. 9, No. 1-2-3, 1998, p. 99.

*      Kejian Wu and Maohua Le: ON THE PERFECT SQUARES IN SMARANDACHE CONCATENATED SQUARE SEQUENCE. In Smarandache Notions Journal, Vol. 9, No. 1-2-3, 1998, pp. 100-101.

*      Xigeng Chen: THE MODULE PERIODICITY OF SMARANDACHE CONCATENATED ODD SEQUENCE. In Smarandache Notions Journal, Vol. 9, No. 1-2-3, 1998, pp. 102-103.

*      Ion Prodanescu, L.Tutescu: ON A CONJECTURE CONCERNING THE SMARANDACHE. In Smarandache Notions Journal, Vol. 9, No. 1-2-3, 1998, pp. 104-105.

*      F. Saidak: ERDOS CONJECTURE I. In Smarandache Notions Journal, Vol. 9, No. 1-2-3, 1998, pp. 106-112.

*      Charles Ashbacher: ALL SOLUTIONS OF THE EQUATION S(n) + d(n) = n. In Smarandache Notions Journal, Vol. 9, No. 1-2-3, 1998, pp. 113-118.

*      Florian Luca: AN INEQUALITY BETWEEN PRIME POWERS DIVIDING n!. In Smarandache Notions Journal, Vol. 9, No. 1-2-3, 1998, pp. 119-123.

*      Maohua Le: AN INEQUALITY CONCERNING THE SMARANDACHE FUNCTION. In Smarandache Notions Journal, Vol. 9, No.1-2-3, 1998, pp. 124-125.

*      Maohua Le: ON SMARANDACHE CONCATENATED SEQUENCES I: PRIME POWER SEQUENCES. In Smarandache Notions Journal, Vol. 9, No.1-2-3, 1998, pp. 128-129.

*      Maohua Le: ON SMARANDACHE CONCANATED SEQUENCES I. FACTORIAL SEQUENCES. In Smarandache Notions Journal, Vol. 9, No. 1-2-3, 1998, pp. 130-131.

*      A. A. K. Majumdar: A NOTE ON THE SMARANDACHE PRIME PRODUCT SEQUENCE. In Smarandache Notions Journal, Vol. 9, No. 1-2-3, 1998, pp. 119-123.

*      C. Ashbacher: SMARANDACHE LUCKY MATH. In Smarandache Notions Journal, Vol. 9, No. 1-2-3, 1998, p. 143.

*      Micha Fleuren: SMARANDACHE FACTORS AND REVERSE FACTORS. In Smarandache Notions Journal, Vol. 10, No. 1-2-3, Spring 1999, pp. 5-39.

*      Henry Ibstedt: SMARANDACHE CONTINUED FRACTIONS. In Smarandache Notions Journal, Vol. 10, No. 1-2-3, Spring 1999, pp. 40-50.

*      Constantin Dumitrescu and Carmen Rocsoreanu: SOME CONNECTIONS BETWEEN THE SMARANDACHE FUNCTION AND THE FIBONACCI SEQUENCE. In Smarandache Notions Journal, Vol. 10, No. 1-2-3, Spring 1999, pp. 51-61.

*      Y. V. Chebrakov and V. V. Shmagin: COMPUTATIVE PARADOXES IN MODERN DATA ANALYSIS. In Smarandache Notions Journal, Vol. 10, No. 1-2-3, Spring 1999, pp. 62-81.

*      Kevin Ford: THE NORMAL BEHAVIOR OF THE SMARANDACHE FUNCTION. In Smarandache Notions Journal, Vol. 10, No. 1-2-3, Spring 1999, pp. 82-87.

*      J. Sandor: ON VALUES OF ARITHMETICAL FUNCTIONS AT FACTORIALS I. In Smarandache Notions Journal, Vol. 10, No. 1-2-3, Spring 1999, pp. 88-95.

*      Steven R. Finch: THE AVERAGE VALUE OF THE SMARANDACHE FUNCTION. In Smarandache Notions Journal, Vol. 10, No. 1-2-3, Spring 1999, pp. 96-97.

*      J. Sandor: ON THE IRRATIONALITY OF CERTAIN CONSTANTS RELATED TO THE SMARANDACHE FUNCTION. In Smarandache Notions Journal, Vol. 10, No. 1-2-3, Spring 1999, pp. 98-100.

*      Sabin Tabirca: SMARANDACHE MAGIC SQUARES. In Smarandache Notions Journal, Vol. 10, No. 1-2-3, Spring 1999, pp. 101-108.

*      Sabin Tabirca, Tatiana Tabirca: SOME INEQUALITIES CONCERNING SMARANDACHE'S FUNCTION. In Smarandache Notions Journal, Vol. 10, No. 1-2-3, Spring 1999, pp. 106-114.

*      Sebastian Martin Ruiz: SMARANDACHE'S FUNCTION APPLIED TO PERFECT NUMBERS. In Smarandache Notions Journal, Vol. 10, No. 1-2-3, Spring 1999, pp. 115-116.

*      Florian Luca: ON THE DIVERGENCE OF THE SMARANDACHE HARMONIC SERIES. In Smarandache Notions Journal, Vol. 10, No. 1-2-3, Spring 1999, pp. 117-119.

*      Tatiana Tabirca, Sabin Tabirca: A GENERALISATION OF EULER'S FUNCTION. In Smarandache Notions Journal, Vol. 10, No. 1-2-3, Spring 1999, pp. 117-123.

*      Sebastian Martin Ruiz: A RESULT OBTAINED USING SMARANDACHE FUNCTION. In Smarandache Notions Journal, Vol. 10, No. 1-2-3, Spring 1999, pp. 124-125.

*      J. Sandor: ON AN INEQUALITY FOR THE SMARANDACHE FUNCTION. In Smarandache Notions Journal, Vol. 10, No. 1-2-3, Spring 1999, pp. 126-128.

*      Florian Luca: ON A SERIES INVOLVING 5(1) ·5(2) ... ·5(n).  In Smarandache Notions Journal, Vol. 10, No. 1-2-3, Spring 1999, pp. 129-130.

*      Sebastian Martin Ruiz: A CONGRUENCE WITH SMARANDACHE'S FUNCTION. In Smarandache Notions Journal, Vol. 10, No. 1-2-3, Spring 1999, pp. 131-133.

*      Henry Ibstedt: AN INTEGER AS A SUM OF CONSECUTIVE INTEGERS. In Smarandache Notions Journal, Vol. 10, No. 1-2-3, Spring 1999,  pp. 134-139.

*      Mihaly Bencze: A NEW INEQUALITY FOR THE SMARANDACHE FUNCTION. In Smarandache Notions Journal, Vol. 10, No. 1-2-3, Spring 1999, pp. 140.

*      Maohua Le: A FORMULA OF THE SMARANDACHE FUNCTION. In Smarandache Notions Journal, Vol. 10, No. 1-2-3, Spring 1999,  pp. 141-142.

*      Maohua Le: ON THE DIOPHANTINE EQUATION S(n) = n. In Smarandache Notions Journal, Vol. 10, No. 1-2-3, Spring 1999, pp. 143-144.

*      Maohua Le : ON SMARANDACHE DMSOR PRODUCTS. In Smarandache Notions Journal, Vol. 10, No. 1-2-3, Spring 1999, pp. 145-146.

*      Maohua Le: ON THE SMARANDACHE N-ARY SIEVE. In Smarandache Notions Journal, Vol. 10, No. 1-2-3, Spring 1999, pp. 147-148.

*      Maohua Le: PERFECT POWERS IN THE SMARANDACHE PERMUTATION SEQUENCE. In Smarandache Notions Journal, Vol. 10, No. 1-2-3, Spring 1999, pp. 149-150.

*      Maohua Le: ON SMARANDACHE PSEUDO - POWERS OF THIRD KIND. In Smarandache Notions Journal, Vol. 10, No. 1-2-3, Spring 1999, pp. 151-152.

*      Maohua Le: AN IMPROVEMENT ON THE SMARANDACHE DIVISIBILITY THEOREM. In Smarandache Notions Journal, Vol. 10, No. 1-2-3, Spring 1999, pp. 153-154.

*      Maohua Le: ON PRIMES IN THE SMARANDACHE PIERCED CHAIN. In Smarandache Notions Journal, Vol. 10, No. 1-2-3, Spring 1999, pp. 155-156.

*      Maohua Le: ON THE SMARANDACHE PRIME ADDITIVE COMPLEMENT SEQUENCE. In Smarandache Notions Journal, Vol. 10, No. 1-2-3, Spring 1999, pp. 159-160.

*      Maohua Le: ON SMARANDACHE SIMPLE FUNCTIONS. In Smarandache Notions Journal, Vol. 10, No. 1-2-3, Spring 1999, pp. 162-163.

*      Charles Ashbacher, Maohua Le: ON SMARANDACHE SIMPLE CONTINUED FRACTIONS. In Smarandache Notions Journal, Vol. 10, No. 1-2-3, Spring 1999, pp. 164-165.

*      Maohua Le: NOTES ON PRIMES SMARANDACHE PROGRESSIONS. In Smarandache Notions Journal, Vol. 10, No. 1-2-3, Spring 1999, pp. 166-167.

*      Maohua Le: THE PRIMES p WITH lg(p) = l. In Smarandache Notions Journal, Vol. 10, No. 1-2-3, Spring 1999, pp. 168-169.

*      Maohua Le: THE PRIMES IN THE SMARANDACHE SYMMETRIC SEQUENCE. In Smarandache Notions Journal, Vol. 10, No. 1-2-3, Spring 1999, pp. 175-176.

*      Maohua Le: ON SMARANDACHE GENERAL CONTINUED FRACTIONS. In Smarandache Notions Journal, Vol. 10, No. 1-2-3, Spring 1999, pp. 177-178.

*      Henry Ibstedt: THE SMARANDACHE SEQUENCE INVENTORY. In Smarandache Notions Journal, Vol. 10, No. 1-2-3, Spring 1999, pp. 184-191.

*      Ion Balacenoiu and Vasile Seleacu: HISTORY OF THE SMARANDACHE FUNCTION. In Smarandache Notions Journal, Vol. 10, No. 1-2-3, Spring 1999, pp. 193-202.

*      J. Castillo: OTHER SMARANDACHE TYPE FUNCTIONS. In Smarandache Notions Journal, Vol. 10, No. 1-2-3, Spring 1999, pp. 203-205.

*      M. L. Perez: SURVEY ON THE RESEARCH OF SMARANDACHE NOTIONS. In Smarandache Notions Journal, Vol. 10, No. 1-2-3, Spring 1999, pp. 206-207.

*      Dwiraj Talukdar: D - FORM OF SMARANDACHE GROUPOID. In Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, pp. 5-15.

*      Dwiraj Talukdar: THE NOTIONS OF THE SMARANDACHE GROUP AND THE SMARANDACHE BOOLEAN RING. In Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, pp. 16-23.

*      Angela Vasiu and Nicolae Oprea: FROM BOLYAI'S GEOMETRY TO SMARANDACHE ANTI-GEOMETRY. In Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, pp. 24-28.

*      Angela Vasiu: SMARANDACHE’S NEW GEOMETRIES A PROVOCATION FOR AN AMMELIORATION OF HUMAN CONDITION. In Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000,  pp. 29-30.

*      Sabin Tabirca, Tatiana Tabirca: THE AVERAGE OF THE ERDOS FUNCTION. In Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, pp. 31-33.

*      Tatiana Tabirca, Sabin Tabirca: ON THE CONVERGENCE OF THE ERDOS HARMONIC SERIES. In Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, pp. 34-37.

*      Felice Russo: AN EXPERIMENTAL EVIDENCE ON THE VALIDITY OF THIRD SMARANDACHE CONJECTURE ON PRIMES. In Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, pp. 38-41.

*      Felice Russo: SOME RESULTS ABOUT FOUR SMARANDACHE U-PRODUCT SEQUENCES. In Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, pp. 42-49.

*      Felice Russo: ON AN UNSOLVED QUESTION ABOUT THE SMARANDACHE SQUARE-PARTIAL-DIGITAL SUBSEQUENCE. In Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, pp. 50-52.

*      Charles Ashbacher: ON A CONJECTURE BY RUSSO. In Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, pp. 53-55.

*      Sebastian Martin Ruiz: A FUNCTIONAL RECURRENCE TO OBTAIN THE PRIME NUMBERS USING THE SMARANDACHE PRIME FUNCTION. In Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, pp. 56-58.

*      Sebastian Martin Ruiz: THE GENERAL TERM OF THE PRIME NUMBER SEQUENCE AND THE SMARANDACHE PRIME FUNCTION. In Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, pp. 59-61.

*      Sebastian Martin Ruiz: EXPRESSIONS OF THE SMARANDACHE COPRIME FUNCTION. In Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, pp. 62-63.

*      Mladen V. Vassilev, Missana and Krassimir T. Atanassov: NOTE ON THE DIOPHANTINE EQUATION 2x2 - 3y2 = P. In Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, pp. 64-68.

*      Maohua Le: THE INTEGRAL VALUES… In Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, pp. 71-72.

*      M. Bencze: SMARANDACHE RELATIONSHIPS AND SUBSEQUENCES. In Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, pp. 79-85.

*      Sylvester Smith: A SET OF CONJECTURES ON SMARANDACHE SEQlJENCES. In Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, pp. 86-92.

*      Fanel IACOBESCU: SMARANDACHE PARTITION TYPE AND OTHER SEQUENCES. In Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, pp. 93-96.

*      Helen Marirnutha: SMARANDACHE CONCATENATE TYPE SEQUENCES. In Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, pp. 99-100.

*      Mihaly Bencze: SMARANDACHE RECURRENCE TYPE SEQUENCES. In Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, pp. 101-104.

*      Sabin Tabirca: ABOUT SMARANDACHE-MULTIPLICATIVE FUNCTIONS. In Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, pp. 105-106.

*      Anghel N. Rugina: ON SMARANDACHE MTXT NON-EUCLIDEAN GEOMETRIES. In  Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, pp. 107-108.

*      K. R. S. Sastry: SMARANDACHE NUMBER RELATED TRIANGLES. In Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, pp. 109-111.

*      Charles Ashbacher: SOLUTIONS TO SOME SASTRY PROBLEMS ON SMARANDACHE NUMBER RELATED TRIANGLES. In Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, pp. 110-115.

*      Maohua Le: ON THE DIFFERENCE S(Z(n)) - Z(S(n). In Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, pp. 116.

*      Anthony Begay: SMARANDACHE CEIL FUNCTIONS. In Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, pp. 117-119.

*      Charles Ashbacher: SOME PROBLEMS CONCERNING THE SMARANDACHE DECONSTRUCTIVE SEQUENCE. In Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, pp. 120-122.

*      EmiI Burton: S-PRIMALITY DEGREE OF A NUMBER AND S-PRIME NUMBERS. In Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, p. 123.

*      E. Radescu: SOME ELEMENTARY ALGEBRAIC CONSIDERATIONS INSPIRED BY SMARANDACHE TYPE FUNCTIONS (II). In Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, pp. 124-127.

*      Zhong Li: SOLUTION OF TWO QUESTIONS CONCERNING THE DIVISOR FUNCTION AND THE PSEUDO-SMARANDACHE FUNCTION. In Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, pp. 132-135.

*      Florian Luca: ON THE SMARANDACHE IRRATIONALITY CONJECTURE. In Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, pp. 137-138.

*      Steven R. Finch: MOMENTS OF THE SMARANDACHE FUNCTION. In Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, pp. 140-141.

*      Gheorghe Dinulescu-Campina: THE INTANGIBLE ABSOLUTE TRUTH. In Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, pp.142-143.

*      Y. Y. Chebrakoy: ADVANCE OF SMARANDACHE APPROACH TO SOLVING SYSTEMS OF DIOPHANTlNE EQUATIONS. In Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, pp. 144-155.

*      Y. V. Chebrakov and V. V. Shmagin: ANALYTICAL APPROACH TO DESCRIPTION OF SOME COMBINATORIAL AND NUMBER-THEORETIC COMPUTATIVE ALGORITHMS. In Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, pp. 156-164.

*      I. Bălăcenoiu, D. Bordea, V. Seleacu:  NUMERICAL FUNCTIONS AND TRIPLETS. In Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, pp. 165-170.

*      Amarnath Murthy:  EXPLORING SOME NEW IDEAS ON SMARANDACHE TYPE SETS, FUNCTIONS AND SEQUENCES. In Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, pp. 177-189.

*      Amarnath Murthy: ON THE DIVISORS OF SMARANDACHE UNARY SEQUENCE. In Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, pp. 190-191.

*      Charles Ashbacher: ON ITERATIONS THAT ALTERNATE THE PSEUDO-SMARANDACHE AND CLASSIC FUNCTIONS OF NUMBER THEORY. In Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, pp. 192-197.

*      Florian Munteanu,  Octavian Mustafa: THE ALMOST PRESUMABLE MAXIMALITY OF SOME TOPOLOGICAL LEMMA. In Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, pp. 192-195.

*      Sabin Tabirca,  Tatiana Tabirca:  ON THE CONVERGENCE OF THE EULER HARMONIC SERIES. In Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, pp. 196-200.

*      J. Sandor:  ON CERTAIN GENERALIZATIONS OF THE SMARANDACHE FUNCTION. In Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, pp. 202-212.

*      Charles Ashbacher: ON NUMBERS WHERE THE VALUES OF THE PSEUDO-SMARANDACHE FUNCTION OF IT AND THE REVERSAL ARE IDENTICAL. In  Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, pp. 215-217.

*      Amarnath Murthy: SMARANDACHE RECIPROCAL PARTITION OF UNITY SETS AND SEQUENCES. In Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, pp. 218-226.

*      Amarnath Murthy: GENERALIZATION OF PARTITION FUNCTION, INTRODUCING SMARANDACHE FACTOR PARTITION. In Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, pp. 227-239.

*      Amarnath Murthy: A GENERAL RESULT ON THE SMARANDACHE STAR FUNCTION. In Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, pp. 240-252.

*      Amarnath Murthy:  MORE RESULTS AND APPLICATIONS OF THE GENERALIZED SMARANDACHE STAR FUNCTION. In Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, pp. 253-262.

*      Amarnath Murthy: PROPERTIES OF SMARANDACHE STAR TRIANGLE. In Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, pp.263-269.

*      Amarnath Murthy : SMARANDACHE FACTOR PARTITIONS OF A TYPICAL CANONICAL FORM. In Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, pp. 270-274.

*      Amarnath Murthy: LENGTH I EXTENT OF SMARANDACHE FACTOR PARTITIONS. In Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, pp.275-279.

*      Amarnath Murthy: SOME MORE IDEAS ON SMARANDACHE FACTOR PARTITIONS. In Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, pp.280-283.

*      Amarnath Murthy: A NOTE ON THE SMARANDACHE DIVISOR SEQUENCES. In Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, pp. 284-285.

*      Amarnath Murthy: ALGORITHM FOR LISTING OF SMARANDACHE FACTOR PARTITIONS. In Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, pp. 286-289.

*      Amarnath Murthy: EXPANSION OF xn IN SMARANDACHE TERMS OF PERMUTATIONS. In Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, pp. 290-296.

*      Amarnath Murthy: MISCELLANEOUS RESULTS AND THEOREMS ON SMARANDACHE TERMS AND FACTOR PARTITIONS. In Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, pp.297-34.

*      Amarnath Murthy: SMARANDACHE MAXIMUM RECIPROCAL REPRESENTATION FUNCTION. In Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, pp. 305-307.

*      Amarnath Murthy: OPEN PROBLEMS AND CONJECTURES ON THE FACTOR IRECIPROCAL PARTITION THEORY. In Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, pp. 308-311.

*      Amarnath Murthy: SMARANDACHE RECIPROCAL FUNCTION AND AN ELEMENTARY INEQUALITY. In Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, pp. 312-315.

*      Amamath Murthy: SOME FUNNY EXAMPLES OF SMARANDACHE LUCKY METHODS INALGEBRA, TRIGONOMETRY, AND CALCULUS. In Smarandache Notions Journal, Vol. 11, No. 1-2-3, Spring 2000, pp. 316-319.

*      ROBERTO TORRETTI: A MODEL FOR SMARANDACHE'S ANTI-GEOMETRY. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 5-18.

*      Florian Luca : THE AVERAGE SMARANDACHE FUNCTION. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 19-27.

*      Tatiana Tabirca,  Sabin Tabirca: A PARALLEL LOOP SCHEDULING ALGORITHM BASED ON THE SMARANDACHEf-INFERIOR PART FUNCTION. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 28-35.

*      Henry Ibstedt: ON THE PSEUDO-SMARANDACHE FUNCTION AND ITERATION PROBLEMS PART I. THE EULER FUNCTION. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 36-43.

*      Henry Ibstedt: ON THE PSEUDO-SMARANDACHE FUNCTION AND ITERATION PROBLEMS PART LL: THE SUM OF DIVISORS FUNCTION. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 44-48.

*      Sabin Tabirca: ERDOS-SMARANDACHE MOMENTS NUMBERS. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 49-53.

*      Sabin Tabirca,  Tatiana Tabirca: ERDOS-SMARANDACHE NUMBERS. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 54-58.

*      J. Sandor: ON THE PSEUDO-SMARANDACHE FUNCTION. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 59-61.

*      Henry Ibstedt: SMARANDACHE k-k ADDITIVE RELATIONSHIPS. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 62-72.

*      Krassimir T. Atanassov: REMARKS ON SOME OF THE SMARANDACHE'S PROBLEMS. Part 1. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 82-98.

*      Henry Ibstedt: A BRIEF ACCOUNT ON SMARANDACHE 2-2 SUBTRACTIVE RELATIONSHIPS. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 99-102.

*      Beary Ibstedt: ON A SMARANDACHE PARTIAL PERFECT ADDITIVE SEQUENCE. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 103-107.

*      Sabin Tabirca, Tatiana Tabirca: ON PRIMALITY OF THE SMARANDACHE SYMMETRIC SEQUENCES. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 114-121.

*      Krassimir T. Atanassov: ON FOUR PRIME AND COPRIME FUNCTIONS. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 122-125.

*      Y.V. Chebrakov, V.V. Shmagin: INVESTIGATING CONNECTIONS BETWEEN SOME SMARANDACHE SEQUENCES, PRIME NUMBERS AND MAGIC SQUARES. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 126-145.

*      Tiang Zhengping, Xu Kanghua: ON SMARANDACHE SEQUENCES AND SUBSEQUENCES. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 146-152.

*      Felice Russo: ON THREE PROBLEMS CONCERNING THE SMARANDACHE LCM SEQUENCE. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 155-157.

*      Felice Russo: ON A PROBLEM CONCERNING THE SMARANDACHE UNARY SEQUENCE. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 159-160.

*      Felice Russo: AN INTRODUCTION TO THE SMARANDACHE DOUBLE FACTORIAL FUNCTION. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 161-170.

*      Adrian Vasiu, Angela Vasiu: GEOMETRIA INTERIOARA. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp.171-174.

*      Felice Russo: ON SOME SMARANDACHE CONJECTURES AND UNSOLVED PROBLEMS. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 175-196.

*      Felice Russo: A RECURRENCE FORMULA FOR PRIME NUMBERS USING THE SMARANDACHE OR TOTIENT FUNCTIONS. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 197-201.

*      Felice Russo: ON TWO PROBLEMS CONCERNING TWO SMARANDACHE P-PARTIAL DIGITAL SUBSEQUENCES. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 202-204.

*      Mihaly Bencze: OPEN QUESTIONS FOR THE SMARANDACHE FUNCTION. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 205-207.

*      Maohua Le: ON SMARANDACHE ALGEBRAIC STRUCTURES.I :THE COMMUTATIVE MULTIPLICATIVE SEMIGROUP A(a,n). In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 208-210.

*      Maohua Le: ON SMARANDACHE ALGEBRAIC STRUCURES. II: THE SMARANDACHE SEMIGROUP. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 211-212.

*      Maohua Le: ON SMARANDACHE ALGEBRAIC STRUCTURES. Ill: THE COMMUTATIVE RING B(a,n). In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 213-214.

*      Maohua Le : THE SQUARES IN THE SMARANDACHE HIGHER POWER PRODUCT SEQUENCES. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 223-224.

*      Maohua Le: THE POWERS IN THE SMARANDACHE CUBIC PRODUCT SEQUENCES. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 227-229.

*      Maohua Le: ON THE SMARANDACHE UNIFORM SEQUENCES. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 230-231.

*      Maohua Le: THE PRIMES IN THE SMARANDACHE POWER PRODUCT SEQUENCES OF THE SECOND KIND. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 232-233.

*      Maohua Le: THE PRIMES IN THE SMARANDACHE POWER PRODUCT SEQUENCES OF THE FIRST KIND. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 234-235.

*      Maohua Le: ON AN INEQUALITY CONCERNING THE SMARANDCHE FUNCTION. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp.238-239.

*      Maohua Le: THE SQUARES IN THE SMARANDACHE FACTORIAL PRODUCT SEQUENCE OF THE SECOND KIND. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 242-243.

*      Maohua Le: ON THE THlRD SMARANDACHE CONJECTURE ABOUT PRIMES. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 244-245.

*      Maohua Le: ON RUSSO'S CONJECTURE ABOUT PRIMES. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 246-247.

*      Maohua Le: A CONJECTURE CONCERNING THE RECIPROCAL PARTITION THEORY. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 248-250.

*      Maohua Le: A SUM CONCERNING SEQUENCES. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 252-253.

*      J. Sandor: ON A NEW SMARANDACHE TYPE FUNCTION. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 255-256.

*      Mihaly Bencze: ABOUT THE S(n) = S(n - S(n)) EQUATION. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, p. 257.

*      Amarnath Murthy: SMARANDACHE PASCAL DERIVED SEQUENCES. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 259-262.

*      Amarnath Murthy: DEPASCALISATION OF SMARANDACHE PASCAL DERIVED SEQUENCES AND BACKWARD EXTENDED FIBONACCI SEQUENCE. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 264-165.

*      Amarnath Murthy: PROOF OF THE DEPASCALISATION THEOREM. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 266-267.

*      Jozsef Sandor: ON CERTAIN ARITHMETIC FUNCTIONS. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 268-269.

*      Amarnath Murthy: SMARANDACHE STAR (STIRLING) DERIVED SEQUENCES. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 269-271.

*      Amamath Murthy: SMARANDACHE FRIENDLY NUMBERS AND A FEW MORE SEQUENCES. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 272-275.

*      Amarnath Murthy: SMARANDACHE GEOMETRICAL PARTITIONS AND SEQUENCES. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 276-179.

*      Amarnath Murthy: SMARANDACHE ROUTE SEQUENCES. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 280-282.

*      Amarnath Murthy: SMARANDACHE DETERMINANT SEQUENCES. In  Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 283-286.

*      Amamath Murthy: SMARANDACHE REVERSE AUTO CORRELATED SEQUENCES AND SOME FIBONACCI DERIVED SMARANDACHE SEQUENCES. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 288-289.

*      Csaba Biro: ABOUT A NEW SMARANDACHE-TYPE SEQUENCE. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 294-296.

*      Leonardo Motta: ON THE SMARANDACHE PARADOX. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 297-298.

*      Adrian Vasiu,  Angela Vasiu: ON SOME IMPLICATIONS OF FORMALIZED THEORIES IN OUR LIFE. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp.307-312.

*      Amamath Murthy:  SOME NOTIONS ON LEAST COMMON MULTIPLES. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 317-318.

*      Amarnath Murthy: SMARANDACHE DUAL SYMMETRIC FUNCTIONS AND CORRESPONDING NUMBERS OF THE TYPE OF STIRLING NUMBERS OF THE FIRST KIND. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 319-320.

*      Amarnath Murthy: SOME MORE CONJECTURES ON PRIMES AND DIVISORS. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 321-322.

*      Maohua Le: THE REDUCED SMARANDACHE SQUARE-DIGITAL SUBSEQUENCE IS INFINITE. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 321-322.

*      Maohua Le: THE REDUCED SMARANDACHE SQUARE-DIGITAL SUBSEQUENCE IS INFINITE. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 325-326.

*      Maohua Le: THE REDUCED SMARANDACHE CUBE-PARTIALDIGITAL SUBSEQUENCE IS INFINITE. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 327-328.

*      Maohua Le: THE CONVERGENCE VALUE AND THE SIMPLE CONTINUED FRACTIONS OF SOME SMARANDACHE SEQUENCES. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 329-330.

*      Maohua Le: THE FIRST DIGIT AND THE TRAILING DIGIT OF ELEMENTS OF THE SMARANDACHE DECONSTRUCTIVE SEQUENCE. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 331-332.

*      Maohua Le: TWO SMARANDACHE SERIES. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 335-336.

*      Maohua Le: TWO CONJECTURES CONCERNING EXTENTS OF SMARANDACHE FACfOR PARTITIONS. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 340-342.

*      Maohua Le: ON THE BALU NUMBERS. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 346-349.

*      Maohua Le: THE LIMIT OF THE SMARANDACHE DIVISOR SEQUENCES. In  Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 351-353.

*      Krassimir Atanassov and Hristo Aladjov: A GENERALIZED NET FOR MACHINE LEARNING OF THE PROCESS OF MATHEMATICAL PROBLEMS SOLVING. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 354-359.

*      G.L Waghmare, S.V. More: NEW SMARANDACHE ALGEBRAIC STRUCTURES. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 360-362.

*      Dwiraj Talukdar: LATTICES OF SMARANDACHE GROUPOID. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 363-369.

*      Leonardo da Motta: SMARANDACHE HYPOTHESIS: EVIDENCES, IMPLICATIONS AND APPLICATIONS. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 370-374.

*      Leonardo F. D. da Motta: SMARANDACHE-RODRIGUES-MAIORINO (SRM) THEORY. In  Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 375-376.

*      Gheorghe Niculescu: QUANTUM SMARANDACHE PARADOXES. In Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001, pp. 377-378.

*      Howard Isen: PARTIALLY PARADOXIST SMARANDACHE GEOMETRIES. In Smarandache Notions Journal, Vol. 13, No. 1-2-3, Spring 2002, pp. 5-12.

*      Clifford Singer: ENGINEERING A VISUAL FIELD. In Smarandache Notions Journal, Vol. 13, No. 1-2-3, Spring 2002, pp. 13-15.

*      J. Sandor: ON SMARANDACHE'S PODAIRE THEOREM. In Smarandache Notions Journal, Vol. 13, No. 1-2-3, Spring 2002, pp. 16-17.

*      Jozsef Sandor: ON A DUAL OF THE PSEUDO-SMARANDACHE FUNCTION. In Smarandache Notions Journal, Vol. 13, No. 1-2-3, Spring 2002, pp. 18-23.

*      Tatiana Tabirca, Sabin Tabirca: A NEW EQUATION FOR THE LOAD BALANCE SCHEDULING BASED ON THE SMARANDACHE F-INFERIOR PART FUNCTION. In Smarandache Notions Journal, Vol. 13, No. 1-2-3, Spring 2002, pp. 24-29.

*      Sabin Tabirca, Tatiana Tabirca: SOME NEW RESULTS CONCERNING THE SMARANDACHE CEIL FUNCTION. In Smarandache Notions Journal, Vol. 13, No. 1-2-3, Spring 2002, pp. 30-36.

*      Mark Farris and Patrick Mitchell: BOUNDING THE SMARANDACHE FUNCTION. In Smarandache Notions Journal, Vol. 13, No. 1-2-3, Spring 2002, pp. 37-42.

*      Pantelimon Stanica and Gabriela Stanica: THERE ARE INFINITELY MANY SMARANDACHE DERIVATIONS, INTEGRATIONS AND LUCKY NUMBERS. In Smarandache Notions Journal, Vol. 13, No. 1-2-3, Spring 2002, pp. 48-52.

*      Amamath Murthy: PROGRAM FOR FINDING OUT NUMBER OF SMARANDACHE DISTINCT RECIPROCAL PARTITION OF UNITY OF A GIVEN LENGTH. In Smarandache Notions Journal, Vol. 13, No. 1-2-3, Spring 2002, pp. 53-55.

*      Felice Russo: ON A PROBLEM CONCERNING THE SMARANDACHE FRIENDLY PRIME PAIRS. In Smarandache Notions Journal, Vol. 13, No. 1-2-3, Spring 2002, pp. 56-58.

*      Shyam Sunder Gupta: SMARANDACHE SEQUENCE OF HAPPY NUMBERS. In Smarandache Notions Journal, Vol. 13, No. 1-2-3, Spring 2002, pp. 59-63.

*      Felice Russo: ON A SMARANDACHE PROBLEM CONCERNING THE PRIME GAPS. In Smarandache Notions Journal, Vol. 13, No. 1-2-3, Spring 2002, pp. 64-71.

*      David Power, Sabin Tabirca, Tatiana Tabirca: JAVA CONCURENT PROGRAM FOR THE SAMARANDACHE FUNCTION. In Smarandache Notions Journal, Vol. 13, No. 1-2-3, Spring 2002, pp. 72-84.

*      L. Kuciuk and M. Anthol: AN INTRODUCTION TO THE SMARANDACHE GEOMETRIES. In Smarandache Notions Journal, Vol. 13, No. 1-2-3, Spring 2002, pp. 85-87.

*      W. B. Vasantha Kandasamy: SMARANDACHE SEMIRINGS AND SEMIFIELDS. In Smarandache Notions Journal, Vol. 13, No. 1-2-3, Spring 2002, pp. 88-91.

*      Sebastian Martin Ruiz: THE SEQUENCE OF PRIME NUMBERS. In Smarandache Notions Journal, Vol. 13, No. 1-2-3, Spring 2002, pp. 92-95.

*      Henry Ibstedt: ON A CONCATENATION PROBLEM. In Smarandache Notions Journal, Vol. 13, No. 1-2-3, Spring 2002, pp. 96-106.

*      Henry Ibstedt: ON A DECONCATENATION PROBLEM. In Smarandache Notions Journal, Vol. 13, No. 1-2-3, Spring 2002, pp. 117-114.

*      Maohua Le: THE SMARANDACHE FRIENDLY NATURAL NUMBER PAIRS. In Smarandache Notions Journal, Vol. 13, No. 1-2-3, Spring 2002, pp. 120-123.

*      Liu Hongyan and Zhang Wenpeng: ON THE DIVISOR PRODUCTS AND PROPER DIVISOR PRODUCTS SEQUENCES. In Smarandache Notions Journal, Vol. 13, No. 1-2-3, Spring 2002, pp. 128-133.

*      Henry Bottomley:  SOME SMARANDACHE-TYPE MULTIPLICATIVE FUNCTIONS. In Smarandache Notions Journal, Vol. 13, No. 1-2-3, Spring 2002, pp. 134-139.

*      David Gorski: THE PSEUDO-SMARANDACHE FUNCTION. In Smarandache Notions Journal, Vol. 13, No. 1-2-3, Spring 2002, pp. 140-149.

*      Zhang Wenpeng: ON THE SYMMETRIC SEQUENCE AND ITS SOME PROPERTIES. In Smarandache Notions Journal, Vol. 13, No. 1-2-3, Spring 2002, pp. 150-152.

*      Zhang Wenpeng: ON THE PERMUTATION SEQUENCE AND ITS SOME PROPERTIES. In Smarandache Notions Journal, Vol. 13, No. 1-2-3, Spring 2002, pp. 153-154.

*      Liu Hongyan,  Zhang Wenpeng: A NUMBER THEORETIC FUNCTION AND ITS MEAN VALUE PROPERTY. In Smarandache Notions Journal, Vol. 13, No. 1-2-3, Spring 2002, pp. 155-159.

*      Felice Russo: AN INTRODUCTION TO THE SMARANDACHE SQUARE COMPLEMENTARY FUNCTION. In Smarandache Notions Journal, Vol. 13, No. 1-2-3, Spring 2002, pp. 160-172.

*      Zhang Wenpeng: ON A EQUATION OF SMARANDACHE AND ITS INTEGER SOLUTIONS. In Smarandache Notions Journal, Vol. 13, No. 1-2-3, Spring 2002, pp. 176-178.

*      Zhang Wenpeng: A NEW SEQUENCE RELATED SMARANDACHE SEQUENCES AND ITS MEAN VALUE FORMULA. In Smarandache Notions Journal, Vol. 13, No. 1-2-3, Spring 2002, pp. 179-182.

*      Felice Russo: FIVE PROPERTIES OF THE SMARANDACHE DOUBLE FACTORIAL FUNCTION. In Smarandache Notions Journal, Vol. 13, No. 1-2-3, Spring 2002, pp. 183-185.

*      Zhang Wenpeng and Yi Yuan: ON A PROBLEM OF F. SMARANDACHE. In Smarandache Notions Journal, Vol. 13, No. 1-2-3, Spring 2002, pp. 186-190.

*      Wenpeng Zhang: ON THE SMARANDACHE LUCAS BASE AND RELATED COUNTING FUNCTIONAL. In Smarandache Notions Journal, Vol. 13, No. 1-2-3, Spring 2002, pp. 191-196.

*      J. Sandor: ON A GENERALIZED BISECTOR THEOREM. In Smarandache Notions Journal, Vol. 13, No. 1-2-3, Spring 2002, pp. 197-198.

*      Wang Yang,  Zhang Hong Li: ON A CONJECTURE OF F. SMARANDACHE. In Smarandache Notions Journal, Vol. 13, No. 1-2-3, Spring 2002, pp. 199.

*      Feng Liu: PARADOXES REVIEW. In Smarandache Notions Journal, Vol. 13, No. 1-2-3, Spring 2002, pp. 200-203.

*      Maohua Le: ON THE SMARANDACHE DOUBLE FACTORIAL FUNCTION. In Smarandache Notions Journal, Vol. 13, No. 1-2-3, Spring 2002, pp. 209-228.

*      Maohua Le: ON THE PSEUDO-SMARANDACHE SQUAREFREE FUNCTION. In Smarandache Notions Journal, Vol. 13, No. 1-2-3, Spring 2002, pp. 229-236.

*      Maohua Le: THE EQUATION S(1.2)+S(2.3)+···+S(n(n+1))=S(n(n+1)(n+2)/3. In Smarandache Notions Journal, Vol. 13, No. 1-2-3, Spring 2002, pp. 237-238.

*      W. B. Vasantha Kandasamy: SMARANDACHE COSETS. In Smarandache Notions Journal, Vol. 13, No. 1-2-3, Spring 2002, pp. 245-251.

*      W. B. Vasantha Kandasamy: SMARANDACHE LOOPS. In Smarandache Notions Journal, Vol. 13, No. 1-2-3, Spring 2002, pp. 252-258.

*      S. M.Tabirca, I. Pitt, D. Murphy: A DISCRETE MODEL FOR HISTOGRAM SHAPING. In Smarandache Notions Journal, Vol. 13, No. 1-2-3, Spring 2002, pp. 259-265.

*      Jozsef Sandor: ON AN ADDITIVE ANALOGUE OF THE FUNCTION S. In Smarandache Notions Journal, Vol. 13, No. 1-2-3, Spring 2002, pp. 266-270.

*      Leonardo F. D. da Motta: HIPOTESE DE SMARANDACHE: EVIDENCIAS, IMPLICACOES E APLICACOES. In Smarandache Notions Journal, Vol. 13, No. 1-2-3, Spring 2002, pp. 271-274.

*      Jason WRIGHT: SUPERLUMINALS AND THE SPEED OF LIGHT. In Smarandache Notions Journal, Vol. 13, No. 1-2-3, Spring 2002, pp. 276-280.

*      Felice Russo: FASTER THAN IIGHT? In Smarandache Notions Journal, Vol. 13, No. 1-2-3, Spring 2002, pp. 281-283.

*      Paulo D. F. Gouveia, Delfim F. M. Torres: SMARANDACHE SEQUENCES: EXPLORATIONS AND DISCOVERIES WITH A COMPUTER ALGEBRA SYSTEM. In Smarandache Notions Journal, Vol. 14, 2004, pp. 5-22.

*      Henry Ibstedt: PALINDROME STUDIES (PART 1). THE PALINDROME CONCEPT AND ITS APPLICATIONS TO PRIME NUMBERS. In Smarandache Notions Journal, Vol. 14, 2004, pp. 23-35.

*      A. S. Muktibodh, Y. M. Wagh: CHAINS OF SMARANDACHE SEMIFIELDS. In Smarandache Notions Journal, Vol. 14, 2004, pp. 36-39.

*      Charles Ashbacher: ON NUMBERS THAT ARE PSEUDO-SMARANDACHE AND SMARANDACHE PERFECT. In Smarandache Notions Journal, Vol. 14, 2004, pp. 40-41.

*      W. Vyawahare, K. M. Purohit: NEAR PSEUDO SMARANDACHE FUNCTION. In Smarandache Notions Journal, Vol. 14, 2004, pp. 42-61.

*      ZHANG TIANPING: ON THE k-POWER FREE NUMBER SEQUENCE. In Smarandache Notions Journal, Vol. 14, 2004, pp. 62-65.

*      Zhu Weiyi: ON THE k-POWER COMPLEMENT AND k-POWER FREE NUMBER SEQUENCE. In Smarandache Notions Journal, Vol. 14, 2004, pp. 66-69.

*      Muneer Jebreel Karama: SMARANDACHE CONCATENATED MAGIC SQUARES. In Smarandache Notions Journal, Vol. 14, 2004, pp. 80-83.

*      Zheng Jianfeng: PROOF OF FUNCTIONAL SMARANDACHE ITERATIONS. In Smarandache Notions Journal, Vol. 14, 2004, pp. 84-87.

*      Zheng Jianfeng: ON THE INFERIOR AND SUPERIOR k-TH POWER PART OF A POSITIVE INTEGER AND DIVISOR FUNCTION. In Smarandache Notions Journal, Vol. 14, 2004, pp. 88-91.

*      A. A. K. Majumdar and H. Gunarto: ON SOME RECURRENCE TYPE SMARANDACHE SEQUENCES. In Smarandache Notions Journal, Vol. 14, 2004, pp. 92-112.

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