{
  "id": "1502.04377",
  "version": "v1",
  "published": "2015-02-15T22:45:59.000Z",
  "updated": "2015-02-15T22:45:59.000Z",
  "title": "The Method(!) of \"Guess and Check\"",
  "authors": [
    "Shalosh B. Ekhad",
    "Doron Zeilberger"
  ],
  "comment": "14 pages, accompanied by four Maple packages obtainable from http://www.math.rutgers.edu/~zeilberg/mamarim/mamarimhtml/gac.html",
  "categories": [
    "math.CO"
  ],
  "abstract": "The problems of enumerating lattice walks, with an arbitrary finite set of allowed steps, both in one and two dimensions, where one must always stay in the non-negative half-line and quarter-plane respectively, are used, as case studies, to illustrate the `naive' methodology of guess-and-check, where rigorous proofs are possible, but not worth the trouble. We argue that this is a metaphor for future math.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-02-15T22:45:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "arbitrary finite set",
      "enumerating lattice walks",
      "case studies",
      "non-negative half-line",
      "quarter-plane"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}