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Approximation of the Cut Function by Some Generic Logistic Functions and Applications

Received: 17 August 2016     Accepted: 27 August 2016     Published: 12 September 2016
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Abstract

In this paper we study the uniform approximation of the cut function by smooth sigmoid functions such as Nelder and Turner–Blumenstein–Sebaugh growth functions. To illustrate the use of one of the models we have fitted the model to the “classical Verhulst data”. Several numerical examples are presented throughout the paper using the contemporary computer algebra system MATHEMATICA.

Published in Advances in Applied Sciences (Volume 1, Issue 2)
DOI 10.11648/j.aas.20160102.11
Page(s) 24-29
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2016. Published by Science Publishing Group

Keywords

Sigmoid Functions, Cut Function, Step Function, Nelder Growth Function,Turner–Blumenstein–Sebaugh Generic Function, Uniform Approximation

References
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  • APA Style

    Nikolay Kyurkchiev, Svetoslav Markov. (2016). Approximation of the Cut Function by Some Generic Logistic Functions and Applications. Advances in Applied Sciences, 1(2), 24-29. https://doi.org/10.11648/j.aas.20160102.11

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    ACS Style

    Nikolay Kyurkchiev; Svetoslav Markov. Approximation of the Cut Function by Some Generic Logistic Functions and Applications. Adv. Appl. Sci. 2016, 1(2), 24-29. doi: 10.11648/j.aas.20160102.11

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    AMA Style

    Nikolay Kyurkchiev, Svetoslav Markov. Approximation of the Cut Function by Some Generic Logistic Functions and Applications. Adv Appl Sci. 2016;1(2):24-29. doi: 10.11648/j.aas.20160102.11

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  • @article{10.11648/j.aas.20160102.11,
      author = {Nikolay Kyurkchiev and Svetoslav Markov},
      title = {Approximation of the Cut Function by Some Generic Logistic Functions and Applications},
      journal = {Advances in Applied Sciences},
      volume = {1},
      number = {2},
      pages = {24-29},
      doi = {10.11648/j.aas.20160102.11},
      url = {https://doi.org/10.11648/j.aas.20160102.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.aas.20160102.11},
      abstract = {In this paper we study the uniform approximation of the cut function by smooth sigmoid functions such as Nelder and Turner–Blumenstein–Sebaugh growth functions. To illustrate the use of one of the models we have fitted the model to the “classical Verhulst data”. Several numerical examples are presented throughout the paper using the contemporary computer algebra system MATHEMATICA.},
     year = {2016}
    }
    

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    T1  - Approximation of the Cut Function by Some Generic Logistic Functions and Applications
    AU  - Nikolay Kyurkchiev
    AU  - Svetoslav Markov
    Y1  - 2016/09/12
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    DO  - 10.11648/j.aas.20160102.11
    T2  - Advances in Applied Sciences
    JF  - Advances in Applied Sciences
    JO  - Advances in Applied Sciences
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    EP  - 29
    PB  - Science Publishing Group
    SN  - 2575-1514
    UR  - https://doi.org/10.11648/j.aas.20160102.11
    AB  - In this paper we study the uniform approximation of the cut function by smooth sigmoid functions such as Nelder and Turner–Blumenstein–Sebaugh growth functions. To illustrate the use of one of the models we have fitted the model to the “classical Verhulst data”. Several numerical examples are presented throughout the paper using the contemporary computer algebra system MATHEMATICA.
    VL  - 1
    IS  - 2
    ER  - 

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Author Information
  • Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Sofia, Bulgaria

  • Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Sofia, Bulgaria

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