{
  "id": "1808.09482",
  "version": "v1",
  "published": "2018-08-28T18:32:05.000Z",
  "updated": "2018-08-28T18:32:05.000Z",
  "title": "Expected Number of Vertices of a Hypercube Slice",
  "authors": [
    "Hunter Swan"
  ],
  "comment": "5 pages, 2 figures",
  "journal": "Swan, H. (2016). Expected Number of Vertices of a Hypercube Slice. The American Mathematical Monthly, 123(6), 600-604",
  "doi": "10.4169/amer.math.monthly.123.6.600",
  "categories": [
    "math.PR",
    "math.MG"
  ],
  "abstract": "Given a random k-dimensional cross-section of a hypercube, what is its expected number of vertices? We show that, for a suitable distribution of random slices, the answer is $2^k$, independent of the dimension of the hypercube.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-08-28T18:32:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52C99",
      "60D05"
    ],
    "keywords": [
      "expected number",
      "hypercube slice",
      "random k-dimensional cross-section",
      "random slices"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}