World Library  

QR link for Scientia Magna : An International Journal : Volume 2, No. 2, 2006
Add to Book Shelf
Flag as Inappropriate
Email this Book

Scientia Magna : An International Journal : Volume 2, No. 2, 2006

By Xi'an, Shaanxi

Click here to view

Book Id: WPLBN0002828566
Format Type: PDF (eBook)
File Size: 3.69 mb
Reproduction Date: 8/7/2013

Title: Scientia Magna : An International Journal : Volume 2, No. 2, 2006  
Author: Xi'an, Shaanxi
Volume: Volume 2, No. 2, 2006
Language: English
Subject: Non Fiction, Science, Algebra
Collections: Mathematics, Mathematical Analysis, Algebra, Science Fiction Collection, Arithmetic, Classical Mechanics, Physics, Psychology, Sociology, Philosophy, Authors Community, Math, Periodicals: Journal and Magazine Collection (Historic and Rare), Social Psychology, Sociolinguistics, Technology, Cultural Studies, Anthropology, Education, Literature, Social Sciences
Publication Date:
Publisher: World Public Library


APA MLA Chicago

Xi'anitor, S. (Ed.). (2013). Scientia Magna : An International Journal : Volume 2, No. 2, 2006. Retrieved from

In the volume we assemble not only those papers which were presented at the conference but also those papers which were submitted later and are concerned with the Smarandache type problems. There are a few papers which are not directly related to but should fall within the scope of Smarandache type problems. They are 1. L. Liu and W. Zhou, On conjectures about the class number of binary quadratic forms; 2. W. Liang, An identity for Stirling numbers of the second kind; 3. Y. Wang and Z. Sheng, Two formulas for x^n in terms of Chebyshev polynomials. Other papers are concerned with the number-theoretic Smarandache problems and will enrich the already rich stock of results on them. Readers can learn various techniques used in number theory and will get familiar with the beautiful identities and sharp asymptotic formulas obtained in the volume.

Scientia Magna is published annually in 400-500 pages per volume and 1,000 copies on topics such as mathematics, physics, philosophy, psychology, sociology, and linguistics.

On Algebraic Multi-Vector Spaces Abstract A Smarandache multi-space is a union of n spaces A1;A2;An with some additional conditions hold. Combining these Smarandache multi-spaces with linear vector spaces in classical linear algebra, the conception of multi-vector spaces is introduced. Some characteristics of multi-vector spaces are obtained in this paper. Keywords Vector, multi-space, multi-vector space, dimension of a space. x1. Introduction These multi-spaces was introduced by Smarandache in under his idea of hybrid mathematics: combining different fields into a unifying field, which can be formally defined with mathematical words by the next definition.

Table of Contents
L. Mao : On Algebraic Multi-Vector Spaces 1 L. Liu and W. Zhou : On conjectures concerning class number of binary quadratic forms 7 W. Zhai and H. Liu : On square-free primitive roots mod p 15 X. Pan : A new limit theorem involving the Smarandache LCM sequence 20 M. Le : The Smarandache Perfect Numbers 24 N. Yuan : On the solutions of an equation involving the Smarandache dual function 27 J. Wang : Mean value of a Smarandache-Type Function 31 H. Yang and R. Fu : On the mean value of the Near Pseudo Smarandache Function 35 W. Liang : An Identity of Stirling Numbers of the Second Kind 40 R. Ma : On the F.Smarandache LCM Ratio Sequence 44 L. Mao : On Algebraic Multi-Ring Spaces 48 Y. Han : On the Product of the Square-free Divisor of a Natural Number 55 P. Zhang : Some identities on k-power complement 60 Y. Wang and Z. Sheng : Two Formulas for xn being Represented by Chebyshev Polynomials 64 X. Chen : Two Problems About 2-Power Free Numbers 70 X. Ma : The Asymptotic Formula of P n·x log Pad(n) 72 Q. Tian : On the K-power free number sequence 77 C. Lv : On a generalized equation of Smarandache and its integer solutions 82 X. Du : On the mean value of the Smarandache LCM function SL(n) 85 Q. Yang : On the generalized constructive set 91 G. Chen : Some exact calculating formulas for the Smarandache function 95 H. Liu : On the F.Smarandache simple function 98 Y. Liu and J. Ma : Some identities involving the k-th power complements 101 Y. Zhao : An equation involving the function Sp(n) 105


Click To View

Additional Books

  • Small Lie, Big Trouble (by )
  • Partners in Crime (by )
  • The Middle Grounds (by )
  • The Demon from Under the Deep (by )
  • Survival (by )
  • Jessica Marks (by )
  • Lead US to the Light (by )
  • Lost Souls (by )
  • Power Watcher (by )
  • Running from Home (by )
  • The Time Keeper (by )
Scroll Left
Scroll Right


Copyright © World Library Foundation. All rights reserved. eBooks from Project Gutenberg are sponsored by the World Library Foundation,
a 501c(4) Member's Support Non-Profit Organization, and is NOT affiliated with any governmental agency or department.