Skip to main content
SpringerLink
Log in

Towardsψ-extension of rota calculus in mizar language

  • Published:
Czechoslovak Journal of Physics Aims and scope

Abstract

Some cases of extended Umbral calculus provide an underpining for deformed quantum oscillator models.

The Umbral calculus has been already formulated in Maple package. We shall present the first stages of the Mizar System usage in formulating and checking the first principal statements of extended Umbral calculus.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. S.M. Roman and G.-C. Rota: Adv. Math.27 (1978) 95.

    Article  MATH  MathSciNet  Google Scholar 

  2. G.-C. Rota and R. Mullin:On the foundations of combinatorial theory, III. Theory of Binomial Enumeration in “Graph Theory and Its Applications”, Academic Press, New York, 1970, p. 167.

    Google Scholar 

  3. A.K. Kwaśniewski: Rep. Math. Phys.48 (2001) 304.

    Google Scholar 

  4. S.G. Kurbanov and V.M. Maximov: Dokl. Akad. Nauk Uz. SSR4 (1986) 8.

    Google Scholar 

  5. G. Markowsky: J. Math. Anal. Appl.63 (1978) 145.

    Article  MATH  MathSciNet  Google Scholar 

  6. P. Rudnicki and A. Trybulec: J. Automated Reasoning23 (1999) 197.

    Article  MATH  MathSciNet  Google Scholar 

  7. S. Jaśkowski:On the rules of supposition in formal logic, Studia Logica, Warsaw University, 1934.

  8. A. Trybulec: Formalized Math.1 (1990) 9.

    Google Scholar 

  9. E. Gr⇂dzka: The Algebra of Polynomials (in press); http://mizar.org/JFM/Vo113/polyalg1.html.

  10. A. Trybulec: Formalized Math.1 (1990) 291.

    Google Scholar 

  11. E. Kusak, W. Leończuk, and M. Muzalewski: Formalized Math.1 (1990) 335.

    Google Scholar 

  12. M. Muzalewski: Formalized Math.2 (1991) 3.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Computer Science, Białystok University, ul. Sosnowa 64, PL-15-887, Białystok, Poland

    Ewa Grądzka

Authors
  1. Ewa Grądzka
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Grądzka, E. Towardsψ-extension of rota calculus in mizar language. Czech J Phys 51, 1336–1341 (2001). https://doi.org/10.1023/A:1013374120709

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1013374120709

Keywords

Search

Navigation