Vortices and Complex Numbers

• Autorzy: Arkadiusz Maciuk , Antoni Smoluk
• Języki publikacji: EN

Abstrakty

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.(original abstract)

Słowa kluczowe

EN

Mathematics

PL

Matematyka

• Czasopismo: Mathematical Economics
• Rocznik: 2015
• Numer: nr 11 (18)
• Strony: 77--88

Twórcy

autor

Arkadiusz Maciuk

• Wrocław University of Economics, Poland

autor

Antoni Smoluk

• Wrocław University of Economics, Poland

Bibliografia

• 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.

Identyfikatory

DOI

10.15611/me.2015.11.07