Search

Showing total 13 results
Start Over Topic analysis Topic business, international Publisher neutrosophic sets and systems
13 results

1. On the generalized constructive set

Author

Yang, Qianli

Subjects
Fuzzy sets -- Analysis, Point mappings (Mathematics) -- Analysis, Set theory -- Analysis, High technology industry, Business, international, Law, Analysis
Abstract

Abstract In this paper, we use the elementary methods to study the properties of the constructive set S, and obtain some interesting properties for it. Keywords Generalized constructive set, summation, [...]

Published
2006

2. Some identities involving the k-th power complements

Author

Liu, Yanni and Ma, Jinping

Subjects
Riemann integral -- Analysis, Power functions (Mathematics) -- Analysis, High technology industry, Business, international, Law, Analysis
Abstract

Abstract The main purpose of this paper is using the elementary method to study the calculating problem of one kind infinite series involving the k-th power complements, and obtain several [...]

Published
2006

3. An equation involving the function [S.sub.p](n)

Author

Yuan-e, Zhao

Subjects
Perfect numbers -- Analysis, Equations -- Analysis, High technology industry, Business, international, Law, Analysis
Abstract

Abstract For any positive integer n, let [S.sub.p](n) denotes the smallest positive integer such that [S.sub.p](n)! is divisible by [p.sup.n]. The main purpose of this paper is using the elementary [...]

Published
2006

4. The asymptotic formula of [summation over n ≤ x] log [P.sub.ld](n)

Author

Ma, Xinwen

Subjects
Exponential sums -- Analysis, High technology industry, Business, international, Law, Analysis
Abstract

Abstract Let [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] Where l, q are fixed numbers. This paper uses the hyperbolic summation method and the exponential pair theory to obtain the asymptotic [...]

Published
2006

5. On the k-power free number sequence

Author

Tian, Qing

Subjects
Sequences (Mathematics) -- Analysis, Power functions (Mathematics) -- Analysis, High technology industry, Business, international, Law, Analysis
Abstract

Abstract The main purpose of this paper is to study the distribution properties of the κ-power free numbers, and give an interesting asymptotic formula for it. Keywords k-power free number, [...]

Published
2006

6. A new limit theorem involving the Smarandache LCM sequence

Author

Pan, Xiaowei

Subjects
Sequences (Mathematics) -- Analysis, High technology industry, Business, international, Law, Analysis
Abstract

Abstract The main purpose of this paper is using the elementary method to study the LCM Sequence, and give an asymptotic formula about this sequence. Keywords Smarandache LCM Sequence, limitation. [...]

Published
2006

7. Smarandache groupoids

Author

Kandasamy, W.B. Vasantha

Subjects
Group theory -- Analysis, High technology industry, Business, international, Law, Analysis
Abstract

Abstract In this paper, we study the concept of Smarandache groupoids, subgroupoids, ideal of groupoids, semi-normal subgroupoids, Smarandache-Bol groupoids and Strong Bol groupoids and obtain many interesting results about them. [...]

Published
2005

8. On the F. Smarandache simple function

Author

Liu, Hua

Subjects
Asymptotic expansions -- Analysis, Mean value theorems (Calculus) -- Analysis, High technology industry, Business, international, Law, Analysis
Abstract

Abstract The main purpose of this paper is using the analytic method to study the mean value properties of d(p(x)) , where d(n) is the Dirichlet divisor function, and give [...]

Published
2006

9. On the primitive numbers of power P and its mean value properties (1)

Author

Ding, Liping

Subjects
Number theory -- Analysis, Mean value theorems (Calculus) -- Analysis, High technology industry, Business, international, Law, Analysis
Abstract

Abstract Let p be a prime, n be any fixed positive integer. [S.sub.p](n) denotes the smallest positive integer such that [S.sub.p](n)! is divisible by [p.sup.n]. In this paper, we study [...]

Published
2005

10. Two formulas for [x.sup.n] being represented by Chebyshev polynomials (1)

Author

Wang, Yuanheng and Sheng, Zongsheng

Subjects
Polynomials -- Analysis -- Usage, Chebyshev approximation -- Usage -- Analysis, Functions, Orthogonal -- Usage -- Analysis, High technology industry, Business, international, Law, Usage, Analysis
Abstract

Abstract Some very simple formulas to show how [x.sup.n] (n = 1, 2, ...) is represented by Chebyshev polynomials [T.sub.k](x) and [U.sub.k](x)(k = 0; 1, ... and their an application [...]

Published
2006

11. On the mean value of the Smarandache LCM function SL(n)

Author

Du, Xiaoying

Subjects
Mean value theorems (Calculus) -- Analysis, High technology industry, Business, international, Law, Analysis
Abstract

Abstract For any positive integer n, let SL(n) denotes the least positive integer k such that L(k) ≍ 0 (mod n), where L(k) denotes the Least Common Multiple of all [...]

Published
2006

12. On square-free primitive roots mod [p.sup.1]

Author

Zhai, Wenguang and Liu, Huaning

Subjects
Roots, Numerical -- Analysis, High technology industry, Business, international, Law, Analysis
Abstract

Abstract Let [prim.sub.[??]](x) denote the number of square-free primitive roots not exceeding x modulo p and let [g.sub.[??]](p) denote the smallest square-free primitive root modulo p. For large real numbers [...]

Published
2006

13. On a generalized equation of Smarandache and its integer solutions

Author

Lv, Chuan

Subjects
High technology industry, Business, international, Law, Analysis
Abstract

Abstract Let a ≠ a 0 be any given real number. If the variables [x.sub.1], [x.sub.2], ..., [x.sub.n] satisfy [x.sub.1][x.sub.2] ... [x.sub.n] = 1, the equation [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE [...]

Published
2006