{
  "id": "0901.4501",
  "version": "v1",
  "published": "2009-01-28T16:51:28.000Z",
  "updated": "2009-01-28T16:51:28.000Z",
  "title": "Some properties of deformed $q$-numbers",
  "authors": [
    "Thierry C. Petit Lobão",
    "Pedro G. S. Cardoso",
    "Suani T. R. Pinho",
    "Ernesto P. Borges"
  ],
  "comment": "8 pages, 1 eps figure",
  "journal": "Brazilian J. Physics, 39 (2A), 402-407 (2009)",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "Nonextensive statistical mechanics has been a source of investigation in mathematical structures such as deformed algebraic structures. In this work, we present some consequences of $q$-operations on the construction of $q$-numbers for all numerical sets. Based on such a construction, we present a new product that distributes over the $q$-sum. Finally, we present different patterns of $q$-Pascal's triangles, based on $q$-sum, whose elements are $q$-numbers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-01-28T16:51:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16Wxx",
      "08A05"
    ],
    "keywords": [
      "properties",
      "deformed algebraic structures",
      "construction",
      "pascals triangles",
      "nonextensive statistical mechanics"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Brazilian Journal of Physics",
      "year": 2009,
      "month": "Jun",
      "volume": 39,
      "pages": 402
    },
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009BrJPh..39..402P"
    }
  }
}