{
  "id": "1911.05576",
  "version": "v1",
  "published": "2019-11-13T16:17:16.000Z",
  "updated": "2019-11-13T16:17:16.000Z",
  "title": "Angle distribution of two random chords in the disc: A sine law",
  "authors": [
    "Jesus Igor Heberto Barahona Torres",
    "Paulo Cesar Manrique-Mirón",
    "Erick Treviño-Aguilar"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "Motivated by models in engineering and also biology we determine in closed form the probability density function of the angle shaped by two random chords in a fixed disc. Our main result focus on the event in which the intersection locates inside the fixed disc and establishes a sine law.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-11-13T16:17:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "random chords",
      "sine law",
      "angle distribution",
      "probability density function",
      "intersection locates inside"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}