{
  "id": "1012.4228",
  "version": "v4",
  "published": "2010-12-20T02:06:34.000Z",
  "updated": "2016-02-03T14:58:32.000Z",
  "title": "Further Notes on a Family of Continuous, Non-differentiable Functions",
  "authors": [
    "Joey McCollum"
  ],
  "comment": "8 pages, 0 figures",
  "journal": "New York J. Math. 17 (2011) 569-577",
  "categories": [
    "math.DS",
    "math.FA"
  ],
  "abstract": "We examine a parameterized family of functions F_a, all of which are continuous and some of which are nowhere or almost nowhere differentiable, we explore the behavior of F'_a and F\"_a almost everywhere for different values of a, focusing on specific questions regarding F_a's differentiability for certain a, and we calculate the Hausdorff dimension of the graphs of all F_a.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-09-07T02:20:31.000Z",
      "abstract": "We examine a parametrized family of functions F_a, all of which are continuous and some of which are nowhere or almost nowhere differentiable, we explore the behavior of F'_a and F\"_a almost everywhere for different values of a, focusing on specific questions regarding F_a's differentiability for certain a, and we calculate the Hausdorff dimension of the graphs of all F_a.",
      "doi": null,
      "authors": [
        "James McCollum"
      ]
    },
    {
      "version": "v4",
      "updated": "2016-02-03T14:58:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26A30",
      "37C45"
    ],
    "keywords": [
      "non-differentiable functions",
      "continuous",
      "hausdorff dimension",
      "specific questions regarding"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1012.4228M"
    }
  }
}