1. An unsurprising emergence of discrete logarithmic sensing technologies
- Author
-
Bingham, Stuart
- Subjects
FOS: Computer and information sciences ,ratio ,discrete logarithmic sensing ,Bioinformatics ,Text Mining ,multiset similarity ,Jaccard similarity ,citation network ,termspace analysis ,variance stabilization ,Information Networks ,location quotient ,design evolution ,network analysis ,Stern-Brocot tree ,compandor ,dynamic range ,graphical display ,technological emergence ,gene expression analysis ,visual salience ,scholarly influence ,oblique exponential function ,Scientometrics ,quasi-logarithmic function ,Quantitative Biology ,technological convergence ,comparison ,time series analysis ,compandifor ,information delivery network ,Technological Innovation ,Constructal Law ,logarithmic transformation ,cumulative sum control chart ,Synthetic Biology ,Statistical Quality Control ,cluster analysis - Abstract
This note traces a thread of logarithmic transformation woven through a bricolage of interests in scientometrics, bioinformatics, radio telephony, and mathematics, to reveal a quasi-logarithmic function enlisted in construction of graphical displays, and to expose an oblique exponential function hidden within the inverse hyperbolic sine. Five applications, in bioinformatics and scientometrics, illustrate utility of discrete logarithmic sensors constructed from quasi-logarithmic and oblique exponential functions. Evolutions in design of such sensors forecast an unsurprising emergence of discrete logarithmic sensing technologies in data-driven disciplines beyond bioinformatics and scientometrics., Eight pages, no figures., {"references":["Jose Lage, Ren Anderson, et al. Professor Adrian Bejan on his 60th birthday. International Journal of Heat and Mass Transfer 51 (2008) 5759-5761.","Adrian Bejan and J. Peder Zane. Design in Nature: how the constructal law governs evolution in biology, physics, technology, and social organization. Doubleday, New York, 2012.","Jose Lage et al. Celebration of Professor Adrian Bejan on his 70th birthday. International Journal of Heat and Mass Transfer 126 (2018) 1377-1378).","Anthony F.J. \"Ton\" van Raan. Sleeping beauties in science. Scientometrics 2004.","Russell J. Funk and Jason Owen-Smith. A dynamic network measure of technological change. Management Science Vol. 63, No. 3, March 2017, pp. 791-817.","D. David Bourland, Jr. To Be or Not To Be: E-Prime as a tool for critical thinking. Et cetera, Volume 46, No. 3, Fall 1989.","R.C. Mathes and S.B. Wright. The Compandor -- An Aid Against Static in Radio Telephony. The Bell System Technical Journal, July 1934.","Blythe Durbin-Johnson, Johanna S. Hardin, Douglas M. Hawkins, and David M. Rocke. A variance-stabilizing transformation for gene-expression microarray data. Bioinformatics Volume 18, Issue supplement 1, July 2002, pages S105-S110.","Herbert Bristol Dwight. Tables of Integrals and Other Mathematical Data, 4/e. New York, The Macmillan Company, 1961.","Lingfei Wu, Dashun Wang, and James A. Evans. Large teams develop and small teams disrupt science and technology. Nature, 21 February 2019.","Ronald L. Graham, Donald Ervin Knuth, and Oren Patashnik. Concrete Mathematics: A Foundation for Computer Science, 2/e. Addison-Wesley Professional, 1994.","Donald E. Knuth. The Art of Computer Programming, 2/e, Volume 2: Seminumerical Algorithms. Addison-Wesley Publishing Company, 1981."]}
- Published
- 2023
- Full Text
- View/download PDF