{
  "id": "2407.01827",
  "version": "v1",
  "published": "2024-07-01T21:58:31.000Z",
  "updated": "2024-07-01T21:58:31.000Z",
  "title": "Cubic equations with 2 Roots in the interval $[-1, 1]$",
  "authors": [
    "Helmut Ruhland"
  ],
  "comment": "9 pages",
  "categories": [
    "math.NA",
    "cs.NA"
  ],
  "abstract": "The conditions for cubic equations, to have 3 real roots and 2 of the roots lie in the closed interval $[-1, 1]$ are given. These conditions are visualized. This question arises in physics in e.g. the theory of tops.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-07-01T21:58:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "12D10",
      "26C10"
    ],
    "keywords": [
      "cubic equations",
      "conditions",
      "question arises",
      "real roots"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}