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Deterministic Models and Optimization

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Fractional and Multivariable Calculus

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 122))

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Abstract

There are various types of models that one can construct for a given set of data. The types of model that is chosen depends upon the type of data for which the model is to be constructed. If the data are coming from a deterministic situation, then there may be already an underlying mathematical formula such as a physical law.

This chapter is based on the lectures of Professor A.M. Mathai of CMS.

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References

  1. Haubold, H. J., & Mathai, A. M. (1994). Solar nuclear energy generation and the chlorine solar neutrino experiment. American Institute of Physics, Conference Proceedings, 320, 102–116.

    MATH  Google Scholar 

  2. Haubold, H. J., & Mathai, A. M. (1995). A heuristic remark on the periodic variation in the number of solar neutrinos detected on Earth. Astrophysics and Space Science, 228, 113–134.

    Article  Google Scholar 

  3. Mathai, A. M. (1993). The residual effect of growth-decay mechanism and the distributions of covariance structures. The Canadian Journal of Statistics, 21(3), 277–283.

    Article  MathSciNet  MATH  Google Scholar 

  4. Mathai, A. M. (2005). A pathway to matrix-variate gamma and normal densities. Linear Algebra and Its Applications, 396, 317–328.

    Article  MathSciNet  MATH  Google Scholar 

  5. Mathai, A. M., & Davis, T. A. (1974). Constructing the sunflower head. Journal of Mathematical Biosciences, 20, 117–133.

    Article  MATH  Google Scholar 

  6. Mathai, A. M., & Haubold, H. J. (1988). Modern problems in nuclear and neutrino astrophysics. Berlin: Akademie-Verlag.

    Google Scholar 

  7. Mathai, A. M., & Haubold, H. J. (2007). Pathway model, superstatistics, Tsallis statistics and a generalized measure of entropy. Physica A, 375, 110–122.

    Article  MathSciNet  Google Scholar 

  8. Mathai, A. M., & Haubold, H. J. (2007). On generalized entropy measures and pathways. Physica A, 385, 493–500.

    Google Scholar 

  9. Mathai, A. M., & Haubold, H. J. (2007). On entropic, distributional, and differential pathways. Bulletin of the Astronomical Society of India, 35, 669–680.

    Google Scholar 

  10. Mathai, A. M., & Haubold, H. J. (2008). Special functions for applied scientists. New York: Springer.

    Book  MATH  Google Scholar 

  11. Mathai, A. M., Saxena, R. K., & Haubold, H. J. (2010). The H-function: Theory and applications. New York: Springer.

    Book  MATH  Google Scholar 

  12. Tsallis, C. (1988). Possible generalizations of Boltzmann-Gibbs statistics. Journal of Statistical Physics, 52, 479–487.

    Article  MathSciNet  MATH  Google Scholar 

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Correspondence to A. M. Mathai .

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Mathai, A.M., Haubold, H.J. (2017). Deterministic Models and Optimization. In: Fractional and Multivariable Calculus . Springer Optimization and Its Applications, vol 122. Springer, Cham. https://doi.org/10.1007/978-3-319-59993-9_3

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