An unsurprising emergence of discrete logarithmic sensing technologies
Creators: name: Bingham, Stuart
Publisher: name: Zenodo
Year: 2023
Subjects: subject: logarithmic transformation
subject: graphical display
subject: Stern-Brocot tree
subject: quasi-logarithmic function
subject: ratio
subject: comparison
subject: gene expression analysis
subject: technological convergence
subject: variance stabilization
subject: oblique exponential function
subject: dynamic range
subject: compandor
subject: time series analysis
subject: compandifor
subject: cumulative sum control chart
subject: cluster analysis
subject: location quotient
subject: visual salience
subject: termspace analysis
subject: Jaccard similarity
subject: multiset similarity
subject: network analysis
subject: citation network
subject: scholarly influence
subject: discrete logarithmic sensing
subject: technological emergence
subject: information delivery network
subject: Constructal Law
subject: design evolution
subject: Bioinformatics
subject: FOS: Computer and information sciences
subject: Information Networks
subject: Quantitative Biology
subject: Scientometrics
subject: Statistical Quality Control
subject: Synthetic Biology
subject: Technological Innovation
subject: Text Mining

description: 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.
description: Eight pages, no figures.
description: {"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."]}