The golden section in the measurement theory

  • Authors:
  • A. P. Stakhov

  • Affiliations:
  • Vinnitsa Polytechnic Institute, Vinnitsa 286021, U.S.S.R.

  • Venue:
  • Computers & Mathematics with Applications
  • Year:
  • 1989

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Abstract

The main ideas and results of the algorithmic measurement theory, i.e. the constructive trend in the mathematic measurement theory are discussed. The theory in question dates back to the problem of choosing the best system of scale weights (Fibonacci, thirteenth century). The theory uses the asymmetry principle of measurement and is connected with the brilliant mathematical achievements, viz, the golden section, the Fibonacci numbers and Pascal's triangle. New methods of number representation, i.e. the Fibonacci and the golden ratio codes have been developed. They are used in computer engineering.