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Electrical Circuit as Constrain in the Multidimensional Space of the Voltages or Currents

  • Germano Resconi
Part of the Studies in Computational Intelligence book series (SCI, volume 407)

Abstract

In this chapter we will show that electrical circuit can be represented as a projection of a vector in the voltage space into a subspace where defined constrain is satisfy. Let us consider the electrical circuit shown in figure 6.1 where ek are the edges of the circuit, V are the electrical potentials in the nodes, Zk are the impedances and ik are the currents.

Keywords

Electrical Circuit Multidimensional Space Oblique Projection Voltage Vector Morphogenetic System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Zupanovic, P., Juretic, D.: The chemical Cycle Kinetics close to the Equilibrium State and Elecrrical Circuit Analogy. Croatia Chemical Acta CCACAA 77(4), 561–571 (2004)Google Scholar
  2. 2.
    Perus, M., Bischof, H., John Caulfield, H., Loo, C.K.: Quantum – implementable selective reconstruction of high-resolution images. Applied Optics 43(33) (November 20, 2004)Google Scholar
  3. 3.
    Chaczko, Z.: Autopoietics of Biomimetic Middleware System. Private Correspondence (November 2007)Google Scholar
  4. 4.
    Bruers, S.: Classification and discussion of macroscopic entropy production principles, arXiv: cond-mat0604482v3 [cond-mat.stat-mech] (May 2, 2007)Google Scholar
  5. 5.
    Bejan, A.: Shape and Structure, from Engineering to Nature. Cambridge University Press, Cambridge (2000)zbMATHGoogle Scholar
  6. 6.
    Newman, M.E.J.: The Structure and Function of Complex Networks. Santa Fe Institute Publication (2004)Google Scholar
  7. 7.
    Tarakanov, A.O., Skormin, V.A., Sokolova, S.S.: Immunocomputing: Principles and Applications. Springer, Heidelberg (2003)zbMATHGoogle Scholar
  8. 8.
    Resconi, G., Nikravesh, M.: Morphic Computing: Concepts and Foundation. In: Nikravesh, M., Zadeh, L.A., Kacprzyk, J. (eds.) Forging the New Frontieres: Fuzzy Pioneers I. Studies in Fuzziness and Soft Computing. Springer, Heidelberg (2007)Google Scholar
  9. 9.
    Resconi, G., Nikravesh, M.: Morphic Computing: Quantum and Field. In: Nikravesh, M., Zadeh, L.A., Kacprzyk, J. (eds.) Forging the New Frontieres: Fuzzy Pioneers II. Studies in Fuzziness and Soft Computing. Springer, Heidelberg (2007)Google Scholar
  10. 10.
    Resconi, G., Nikravesh, M.: Morphic Computing Applied Soft Computing Journal (July 2007)Google Scholar
  11. 11.
    Resconi, G., Nikravesh, M.: Morphic Computing part 1 Foundation. In: IFSA 2007 World Congress Cancun, Mexico, June 18-21 (2007)Google Scholar
  12. 12.
    Resconi, G.: Modelling Fuzzy Cognitive Map By Electrical and Chemical Equivalent Circuits. In: Joint Conference on Information Science, Salt lake City Center USA, July 8-24 (2007)Google Scholar
  13. 13.
    Resconi, G.: The Morphogenetic Systems in Risk Analysis. In: Proceeding of the 1st International Conference on Risk Analysis and Crisis Response, Shangai China, September 25-26, pp. 161–165 (2007)Google Scholar
  14. 14.
    Jaeger, R.C.: Microelectronic Circuit Deign. The McGraw-Hill Companies Inc., New York (1997)Google Scholar
  15. 15.
    Johnson, D.E., Johnson, J.R., Hilburn, J.L.: Electric Circuit Analyais. Prentice Hall, Englewood Cliffs (1989)Google Scholar
  16. 16.
    Resconi, G., Srini, V.P.: Electrical Circuit as a Morphogenetic System. GESTS International Journal Trans. Computer Science and Engineering 53(1), 47–92Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Dept. Mathematics and PhysicsCatholic UniversityBresciaItaly

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