3,206 Works

On The Pseudo Smarandache Function And Its Two Conjectures

Zheng Yani
The main purpose of this paper is using the elementary method to study the properties of the Pseudo-Smarandache function Z(n), and solve two conjectures posed by Kenichiro Kashihara in reference.

A New Smarandache Function And Its Elementary Properties

Fu Jing & Wang Yu
The main purpose of this paper is using the elementary methods to study the
elementary properties of G(n), and give three interesting formulas for it.

On Functions Preserving Convergence Of Series In Fuzzy N-Normed Spaces

Sayed Elagan & Mohamad Rafi Segi Rahmat
The purpose of this paper is to introduce finite convergence sequences and
functions preserving convergence of series in fuzzy n-normed spaces.

A Functional Recurrence To Obtain The Prime Numbers Using The Smarandache Prime Function

M.S. Ruiz
A functional recurrence to obtain the prime numbers using the Smarandache prime function.

Some Remarks On Fuzzy N-Normed Spaces

S. Elagan
It is shown that every fuzzy n-normed space naturally induces a locally convex
topology, and that every finite dimensional fuzzy n-normed space is complete.

Generalization Of The Divisor Products And Proper Divisor Products Sequences

Liang Fangchi
Let n be a positive integer, pd(n) denotes the product of all positive divisors
of n, qd(n) denotes the product of all proper divisors of n.

International Journal Of Mathematical Combinatorics, Volume 3, 2010

Linfan (Editor-in-Chief) Mao
The International J.Mathematical Combinatorics (ISSN 1937-1055) is a fully refereed international journal, sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly comprising 460 pages approx. per volume, which publishes original research papers and survey articles in all aspects of Smarandache multi-spaces, Smarandache geometries, mathematical combinatorics, non-euclidean geometry and topology and their applications to other sciences.

International Journal Of Mathematical Combinatorics, Volume 3, 2011

Linfan (Editor-in-Chief) Mao
The International J.Mathematical Combinatorics (ISSN 1937-1055) is a fully refereed international journal, sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly comprising 460 pages approx. per volume, which publishes original research papers and survey articles in all aspects of Smarandache multi-spaces, Smarandache geometries, mathematical combinatorics, non-euclidean geometry and topology and their applications to other sciences.

On A Generalized Equation Of Smarandache And Its Integer Solutions

Lv Chuan
Let Q denotes the set of all rational numbers.

Smarandache Sequence Of Happy Cube Numbers

Jebreel Muneer
I have studied the Smarandache Happy Cube Numbers and I have got some interesting results and facts . I have discovered some open problems a bout the
Happy Cube and Smarandache Happy Cube Numbers.

On Smarandachely Harmonic Graphs

D.D. Somashekara & C.R. Veena
A graph labeling is an assignment of integers to the vertices or edges or both subject to certain conditions. After it was introduced in late 1960’s thousands of research articles on graph labelings and their applications have been published.

Smarandachely T-Path Step Signed Graphs

Siva Kota Reddy, V. Lokesha & B. Prashanth
Characterizing signed graphs which are switching equivalent to their Smarandachely 3-path step signed graphs.

History Of The Smarandache Functi0N

I. Balacenoiu & V. Seleacu
This function is originated from the Romanian professor Florentin Smarandache.

An Holomorphic Study Of The Smarandache Concept In Loops

Temitope Gbolahan
If two loops are isomorphic, then it is shown that their holomorphs are also
isomorphic. Conversely, it is shown that if their holomorphs are isomorphic, then the loops are isotopic.

Partially Paradoxist Smarandache Geometries

Howard Iseri
A paradoxist Smarandache geometry combines Euclidean, hyperbolic, and elliptic geometry into one space along with other non-Euclidean behaviors of lines that would seem to require a discrete space. A class of continuous spaces is presented here together with specific examples that exhibit almost all of these phenomena and suggest the prospect of a continuous paradoxist geometry.

Hybrid Mean Value On Some Smarandache Type Multiplicative Functions And The Mangoldt Function

Huaning Liu & Jing Gao
In this paper, we study the hybrid mean value of some Smarandache-type multiplicative functions and the Mangoldt function, and give two asymptotic formulae.

On The Hybrid Mean Value Of The Smarandache Kn Digital Sequence With Sl(N) Function And Divisor Function D(N)1

Huan Le
The main purpose of this paper is using the elementary method to study the
hybrid mean value properties of the Smarandache kn digital sequence with SL(n) function and divisor function d(n), then give two interesting asymptotic formulae for it.

Smarandache Idempotents Infinite Ring Zn And In Group Ring Zng

Moon K. Chetry & W.B Vasantha
This paper has 4 sections. In section 1, we just give the basic definition of S-idempotents in rings. In section 2, we prove the existence of S-idempotents in the ring Zn where n = 2mp;m 2 N and p is an odd prime.

An Illustration Of The Distribution Of The Smarandache Function

Henry Ibstedt
The cover illustration is a representation of the values of the Smarandache function.

An Improved Algorithm For Calculating The Sum-Of-Factorials Function

Jon Perry
This paper presents an effective method for calculating !n, and implements the
Smarandache-Kurepa function by using one new method.

On An Inequality Concerning The Smarandche Funcfion

le Maohua
Let a,n be positive integers.

An Infinity Series Involving The Smarandache-Type Function

Jing Li
In this paper, we using the elementary method to study the convergent property of
one class Dirichlet series involving a special sequences, and give several interesting identities for it.

On The Integer Part Of A Positive Integer’S K-Th Root

Hai Yang & Fu Ruiqin
The main purpose of this paper is using the elementary method and analytic
method to study the asymptotic properties of the integer part of the k-th root
positive integer, and give two interesting asymptotic formulae.

Survey On The Research Of Smarandache Notions

M. L. Perez
The American CRC Press, Boca Raton, Florida, published, in December 1998, a 2000 pages "CRC Concise Encyclopedia of Mathematics" , by Eric W. Weisstein, ISBN 0-8493-9640-9, internationally distributed. Among the entries included in this prestigious encyclopedia there also are a couple regarding F. Smarandache works.

Investigating Connections Between Some Smarandache Sequences, Prime Numbers And Magic Squares

Y.V. CHEBRAKOV & V. V. SHMAGIN
In this paper we investigate some properties of Smarandache sequences of the
2nd kind and demonstrate that these numbers are near prime numbers. In
particular, we establish that prime numbers and Smarandache numbers of the
2nd kind (a) may be computed from the similar analytical expressions, (b) may
be used for constructing Magic squares 3x3 or Magic squares 9x9, consisted of
9 Magic squares 3x3.

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