Buradasınız

Anasayfa » Content

Theorems of Forming and Summing of Natural Numbers and Their Application

Journal Name:

  • International Journal of Innovation and Applied Studies

Publication Year:

  • 2013

Key Words:

Author NameUniversity of Author
Abstract (2. Language): 
This paper presents the way to form other set of natural numbers from a given set of natural numbers and formulae to determine the sum of resulting numbers. The other set of natural numbers can be formed either by arranging a given natural numbers in specific order that is by using the principles of permutation rule or by using the principle of product rule provided that a given set of natural numbers should contain equal number of digits. The major areas of study to carry out this particular research work are probability rule, counting principles like permutation rule and product rule, and geometric series. Paper contains some essential theorems that help to arrive at main findings. The objective of this paper is to contribute additional knowledge to the Mathematical and Statistical science. The research results are two fundamental theorems and their applications in Mathematics, Statistics and other expected field of study. They are used to analyze complex numerical data computation and to create a password for a given numerical data with its importance to protect information flow management within a socio economic organization. The findings are foot step for the other related findings and applications that will be presented in the future. The future expected formulas or equations help to solve some difficult scientific and socio economic problems and also to derive approximation formula.
Bookmark/Search this post with
FULL TEXT (PDF): 
PDF icon ijias-13-148-13.pdf
  • 4
1015-1024
  • English

REFERENCES

References: 

[1] Triola, M.F., Elementary Statistics, Pearson Education, Boston, USA, 2012.
[2] Walpole, R.E., Myers, R.H., Myers, S.L., and Keying Ye, Probability and Statistics for Engineers and Scientists, Pearson
education, Boston, USA, 2012.
[3] Weiss, N., Introductory Statistics, Pearson education, Boston, USA, 2008.
[4] Koshy, T., Discrete Mathematics with Applications, Academic Press/Elsevier, 2005.
[5] Rosen, K.H, Discrete Mathematics and its Applications, Mc Graw-Hill companies, Inc., China, 1998.
[6] Allan G. Bluman, Elementary Statistics, McGraw-Hill Education, ISBN 0071154310, 1997.
[7] Riley, K.F, Hobsonand, M.P., and Bence, S.J, ‘’Mathematical Methods for Physics and Engineering,’’ Press syndicate of
the University of Combridge, 975 p., 2005.
Theorems of Forming and Summing of Natural Numbers and Their Application
ISSN : 2028-9324 Vol. 3 No. 4, Aug. 2013 1024
[8] Solomon, R.C., Advanced level Mathematics, London: DP publications, 1992.
[9] Larson, R., and Hosteller, R.P., Algebra and Trigonometry, Houghton Mifflin Company, 2001.
[10] Stewart, J., Calculus Concepts and Contexts, Gary W. Ostedt publisher, 2001.
[11] Pal, N., and Sarkar, S., Statistics Concepts and applications, Prentice-Hall of India private limited, New Delhi, India, 2005.
[12] Gupta, C.B., and Gupta, V., An introduction to Statistical Methods, VIkas publishing enterprise PVT LTD, 2004.
[13] Harrison, M., and Wadsworth, Jr., Hand book of Statistical Methods for Engineers and Scientists, Mc Graw-Hill, 1990.
[14] Kreyszig, E., Advanced Engineering Mathematics, John Wiley and Sons, Inc., USA, 2006.

Thank you for copying data from http://www.arastirmax.com