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2015 | 11(18) | 77-88
Article title

Vortices and complex numbers

Content
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Languages of publication
EN
Abstracts
EN
The paper emphasizes that complex numbers are objects with their equivalents commonly occurring in nature. Just like real numbers measure lengths in a physical world, complex numbers measure vortices observed in nature. The spiral orbits in this paper are exponential spirals (also called logarithmic spirals). A vortex is identified by determining a complex number that generates it. To determine this number, we need two snap-reading observations that provide the argument of a complex number, while the ratio of radiuses – the modulus of a complex number. Therefore, we also deal with the area of a complex number. Complex numbers involve a meaningful description of the laws of nature, i.e. of vortices and of equilibrium.
Keywords
Contributors
References
  • Dechert W.D. (ed.). (1996). Chaos Theory in Economics: Methods, Models and Evidence. Edward Elgar Publishing. Cheltenham.
  • Jakimowicz A., Juzwiszyn J. (2012). Vortex stabilization of market equilibrium in theory and in practice of economics. Acta Physica Polonica A 121(2B). Pp. 54-60.
  • Juzwiszyn J. (2010). Verified assumptions of the economic theory of whirlpools. Mathematical Economics 6 (13). Pp. 49-64.
  • Mc Nutt P.A. (2002). The Economics of Public Choice. Edward Elgar Publishing Limited. Cheltenham (UK).
  • Smoluk A. (2002). Co jest przedmiotem rachunku prawdopodobieństwa [What is the object of probability theory]. Ekonomia Matematyczna 6. Pp. 27-48.
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.desklight-37781017-7b58-4698-b1ef-0fb60a2c5953
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