"alternating knot" meaning in English

See alternating knot in All languages combined, or Wiktionary

Noun

Forms: alternating knots [plural]
Head templates: {{en-noun}} alternating knot (plural alternating knots)
  1. (topology) A knot that has a knot diagram in which, in traveling along the knot, one passes through intersections alternatingly: over, under, over, under, etc. Categories (topical): Topology
    Sense id: en-alternating_knot-en-noun-HHweGMXL Categories (other): English entries with incorrect language header Topics: mathematics, sciences, topology

Inflected forms

Download JSON data for alternating knot meaning in English (1.3kB)

{
  "forms": [
    {
      "form": "alternating knots",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
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      "args": {},
      "expansion": "alternating knot (plural alternating knots)",
      "name": "en-noun"
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
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            "Entry maintenance"
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          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Topology",
          "orig": "en:Topology",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A knot that has a knot diagram in which, in traveling along the knot, one passes through intersections alternatingly: over, under, over, under, etc."
      ],
      "id": "en-alternating_knot-en-noun-HHweGMXL",
      "links": [
        [
          "topology",
          "topology"
        ],
        [
          "knot",
          "knot"
        ],
        [
          "knot diagram",
          "knot diagram"
        ],
        [
          "pass",
          "pass"
        ],
        [
          "through",
          "through"
        ],
        [
          "intersection",
          "intersection"
        ],
        [
          "alternatingly",
          "alternatingly"
        ],
        [
          "over",
          "over"
        ],
        [
          "under",
          "under"
        ]
      ],
      "raw_glosses": [
        "(topology) A knot that has a knot diagram in which, in traveling along the knot, one passes through intersections alternatingly: over, under, over, under, etc."
      ],
      "topics": [
        "mathematics",
        "sciences",
        "topology"
      ]
    }
  ],
  "word": "alternating knot"
}
{
  "forms": [
    {
      "form": "alternating knots",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "alternating knot (plural alternating knots)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "en:Topology"
      ],
      "glosses": [
        "A knot that has a knot diagram in which, in traveling along the knot, one passes through intersections alternatingly: over, under, over, under, etc."
      ],
      "links": [
        [
          "topology",
          "topology"
        ],
        [
          "knot",
          "knot"
        ],
        [
          "knot diagram",
          "knot diagram"
        ],
        [
          "pass",
          "pass"
        ],
        [
          "through",
          "through"
        ],
        [
          "intersection",
          "intersection"
        ],
        [
          "alternatingly",
          "alternatingly"
        ],
        [
          "over",
          "over"
        ],
        [
          "under",
          "under"
        ]
      ],
      "raw_glosses": [
        "(topology) A knot that has a knot diagram in which, in traveling along the knot, one passes through intersections alternatingly: over, under, over, under, etc."
      ],
      "topics": [
        "mathematics",
        "sciences",
        "topology"
      ]
    }
  ],
  "word": "alternating knot"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-01 from the enwiktionary dump dated 2024-04-21 using wiktextract (f4fd8c9 and c9440ce). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.