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      Introduction to Set Shaping Theory

      Preprint
      In review
      research-article
        1 ,
      ScienceOpen Preprints
      ScienceOpen
      Set Shaping Theory, Entropy, Compression data, Information theory
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            Abstract

            In this article, we define the Set Shaping Theory whose goal is the study of the bijection functions that transform a set of strings into a set of equal size made up of strings of greater length. The functions that meet this condition are many but since the goal of this theory is the transmission of data, we have analyzed the function that minimizes the average information content. The results obtained show how this type of function can be useful in data compression.

            Content

            Author and article information

            Journal
            ScienceOpen Preprints
            ScienceOpen
            29 October 2021
            Affiliations
            [1 ] not affiliate
            Author notes
            Article
            10.14293/S2199-1006.1.SOR-.PPPWXAY.v1
            6298f6cc-5b83-4efd-963c-963addbc1f32

            This work has been published open access under Creative Commons Attribution License CC BY 4.0 , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Conditions, terms of use and publishing policy can be found at www.scienceopen.com .


            All data generated or analysed during this study are included in this published article (and its supplementary information files).
            Applied mathematics,Data analysis,Mathematics
            Set Shaping Theory,Entropy,Compression data,Information theory

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