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2015 | 11(18) | 77-88

Article title

Vortices and complex numbers

Content

Title variants

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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