"hopfion" meaning in All languages combined

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "Hopfian",
        "3": "soliton"
      },
      "expansion": "Blend of Hopfian + soliton",
      "name": "blend"
    }
  ],
  "etymology_text": "Blend of Hopfian + soliton",
  "forms": [
    {
      "form": "hopfions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "hopfion (plural hopfions)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English blends",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "2015, R.N. Bisset, Wenlong Wang, C. Ticknor, R. Carretero-Gonzalez, D.J. Frantzeskakis, L.A. Collins, P.G. Kevrekidis, “Robust Vortex Lines, Vortex Rings and Hopfions in 3D Bose-Einstein Condensates”, in arXiv:",
          "text": "Importantly, we find that the hopfion can be stabilized in a simple parabolic trap, without the need for trap rotation or inhomogeneous interactions.",
          "type": "quote"
        }
      ],
      "glosses": [
        "A knot in a three-dimensional continuous unit vector field that cannot be unknotted without cutting"
      ],
      "id": "en-hopfion-en-noun-XWm4OPsF",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "knot",
          "knot"
        ],
        [
          "three-dimensional",
          "three-dimensional"
        ],
        [
          "continuous",
          "continuous"
        ],
        [
          "unit vector",
          "unit vector"
        ],
        [
          "field",
          "field"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A knot in a three-dimensional continuous unit vector field that cannot be unknotted without cutting"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "hopfion"
}

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "Hopfian",
        "3": "soliton"
      },
      "expansion": "Blend of Hopfian + soliton",
      "name": "blend"
    }
  ],
  "etymology_text": "Blend of Hopfian + soliton",
  "forms": [
    {
      "form": "hopfions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "hopfion (plural hopfions)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English blends",
        "English countable nouns",
        "English entries with incorrect language header",
        "English eponyms",
        "English lemmas",
        "English nouns",
        "English terms with quotations",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Mathematics"
      ],
      "examples": [
        {
          "ref": "2015, R.N. Bisset, Wenlong Wang, C. Ticknor, R. Carretero-Gonzalez, D.J. Frantzeskakis, L.A. Collins, P.G. Kevrekidis, “Robust Vortex Lines, Vortex Rings and Hopfions in 3D Bose-Einstein Condensates”, in arXiv:",
          "text": "Importantly, we find that the hopfion can be stabilized in a simple parabolic trap, without the need for trap rotation or inhomogeneous interactions.",
          "type": "quote"
        }
      ],
      "glosses": [
        "A knot in a three-dimensional continuous unit vector field that cannot be unknotted without cutting"
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "knot",
          "knot"
        ],
        [
          "three-dimensional",
          "three-dimensional"
        ],
        [
          "continuous",
          "continuous"
        ],
        [
          "unit vector",
          "unit vector"
        ],
        [
          "field",
          "field"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A knot in a three-dimensional continuous unit vector field that cannot be unknotted without cutting"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "hopfion"
}