{
  "id": "1705.05575",
  "version": "v1",
  "published": "2017-05-16T08:12:53.000Z",
  "updated": "2017-05-16T08:12:53.000Z",
  "title": "Non-differentiable functions defined in terms of classical representations of real numbers",
  "authors": [
    "Symon Serbenyuk"
  ],
  "comment": "16 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "The present article is devoted to functions from a certain subclass of non-differentiable functions. The arguments and values of considered functions represented by the s-adic representation or the nega-s-adic representation of real numbers. The technique of modeling such functions is the simplest as compared with well-known techniques of modeling non-differentiable functions. In other words, values of these functions are obtained from the s-adic or nega-s-adic representation of the argument by a certain change of digits or combinations of digits.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-05-16T08:12:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "real numbers",
      "classical representations",
      "nega-s-adic representation",
      "well-known techniques",
      "modeling non-differentiable functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}