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Some properties of binomial coefficients and their application to growth modelling
Author
Source
Arab Journal of Basic and Applied Sciences
Issue
Vol. 25, Issue 1 (30 Apr. 2018), pp.38-43, 6 p.
Publisher
University of Bahrain College of Science
Publication Date
2018-04-30
Country of Publication
Bahrain
No. of Pages
6
Main Subjects
Natural & Life Sciences (Multidisciplinary)
Abstract EN
Some properties of diagonal binomial coefficients were studied in respect to frequency of their units’ digits.
An approach was formulated that led to the use of difference tables to predict if certain units’ digits can appear in the values of binomial coefficients at quadratic terms of the binomial theorem.
Frequency distributions of units’ digits of binomial coefficients contain gaps (zero frequency) under most common numbering systems with supposed exclusion to systems with 2n bases.
In the work, an application of binomial coefficient arithmetic to model cell population dynamics was suggested.
For a multicellular organism, the growth of number of cells was presented as a succession of binomial coefficients.
It was inferred that the number of cells in a multicellular organism may obey power function laws.
American Psychological Association (APA)
Gavrikov, Vladimir L.. 2018. Some properties of binomial coefficients and their application to growth modelling. Arab Journal of Basic and Applied Sciences،Vol. 25, no. 1, pp.38-43.
https://search.emarefa.net/detail/BIM-861465
Modern Language Association (MLA)
Gavrikov, Vladimir L.. Some properties of binomial coefficients and their application to growth modelling. Arab Journal of Basic and Applied Sciences Vol. 25, no. 1 (2018), pp.38-43.
https://search.emarefa.net/detail/BIM-861465
American Medical Association (AMA)
Gavrikov, Vladimir L.. Some properties of binomial coefficients and their application to growth modelling. Arab Journal of Basic and Applied Sciences. 2018. Vol. 25, no. 1, pp.38-43.
https://search.emarefa.net/detail/BIM-861465
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 43
Record ID
BIM-861465