"Σ" meaning in Translingual

See Σ in All languages combined, or Wiktionary

Symbol

Head templates: {{head|mul|symbol}} Σ
  1. (mathematics) Σ. Sum over a set of like terms: Categories (topical): Mathematics
    Sense id: en-Σ-mul-symbol-9cfVqA40 Topics: mathematics, sciences
  2. (topology) suspension or reduced suspension Categories (topical): Topology
    Sense id: en-Σ-mul-symbol-zg3jhkH4 Topics: mathematics, sciences, topology
  3. (mathematics) A class (in the arithmetical hierarchy) of formulae whose outermost unbounded quantifiers are existential quantifiers Categories (topical): Mathematics Coordinate_terms (classification of formulae): Π, Δ
    Sense id: en-Σ-mul-symbol-D8YPl3yp Categories (other): Translingual entries with incorrect language header Disambiguation of Translingual entries with incorrect language header: 28 18 54 Topics: mathematics, sciences Disambiguation of 'classification of formulae': 17 5 78

Download JSON data for Σ meaning in Translingual (2.3kB)

{
  "head_templates": [
    {
      "args": {
        "1": "mul",
        "2": "symbol"
      },
      "expansion": "Σ",
      "name": "head"
    }
  ],
  "lang": "Translingual",
  "lang_code": "mul",
  "pos": "symbol",
  "senses": [
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "mul",
          "name": "Mathematics",
          "orig": "mul:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "∑ₙ₌₁³n²=1²+2²+3²=14"
        }
      ],
      "glosses": [
        "Σ. Sum over a set of like terms:",
        "Σ. Sum over a set of like terms"
      ],
      "id": "en-Σ-mul-symbol-9cfVqA40",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "Sum",
          "sum"
        ],
        [
          "set",
          "set"
        ],
        [
          "terms",
          "terms"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Σ. Sum over a set of like terms:"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "mul",
          "name": "Topology",
          "orig": "mul:Topology",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "suspension or reduced suspension"
      ],
      "id": "en-Σ-mul-symbol-zg3jhkH4",
      "links": [
        [
          "topology",
          "topology"
        ],
        [
          "suspension",
          "suspension"
        ],
        [
          "reduced suspension",
          "reduced suspension"
        ]
      ],
      "raw_glosses": [
        "(topology) suspension or reduced suspension"
      ],
      "topics": [
        "mathematics",
        "sciences",
        "topology"
      ]
    },
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "mul",
          "name": "Mathematics",
          "orig": "mul:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "_dis": "28 18 54",
          "kind": "other",
          "name": "Translingual entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w+disamb"
        }
      ],
      "coordinate_terms": [
        {
          "_dis1": "17 5 78",
          "sense": "classification of formulae",
          "word": "Π"
        },
        {
          "_dis1": "17 5 78",
          "sense": "classification of formulae",
          "word": "Δ"
        }
      ],
      "glosses": [
        "A class (in the arithmetical hierarchy) of formulae whose outermost unbounded quantifiers are existential quantifiers"
      ],
      "id": "en-Σ-mul-symbol-D8YPl3yp",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "formula",
          "formula"
        ],
        [
          "quantifier",
          "quantifier"
        ],
        [
          "existential quantifier",
          "existential quantifier"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A class (in the arithmetical hierarchy) of formulae whose outermost unbounded quantifiers are existential quantifiers"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Σ"
}
{
  "categories": [
    "Translingual entries with incorrect language header",
    "Translingual lemmas",
    "Translingual symbols"
  ],
  "coordinate_terms": [
    {
      "sense": "classification of formulae",
      "word": "Π"
    },
    {
      "sense": "classification of formulae",
      "word": "Δ"
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "mul",
        "2": "symbol"
      },
      "expansion": "Σ",
      "name": "head"
    }
  ],
  "lang": "Translingual",
  "lang_code": "mul",
  "pos": "symbol",
  "senses": [
    {
      "categories": [
        "mul:Mathematics"
      ],
      "examples": [
        {
          "text": "∑ₙ₌₁³n²=1²+2²+3²=14"
        }
      ],
      "glosses": [
        "Σ. Sum over a set of like terms:",
        "Σ. Sum over a set of like terms"
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "Sum",
          "sum"
        ],
        [
          "set",
          "set"
        ],
        [
          "terms",
          "terms"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Σ. Sum over a set of like terms:"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        "mul:Topology"
      ],
      "glosses": [
        "suspension or reduced suspension"
      ],
      "links": [
        [
          "topology",
          "topology"
        ],
        [
          "suspension",
          "suspension"
        ],
        [
          "reduced suspension",
          "reduced suspension"
        ]
      ],
      "raw_glosses": [
        "(topology) suspension or reduced suspension"
      ],
      "topics": [
        "mathematics",
        "sciences",
        "topology"
      ]
    },
    {
      "categories": [
        "mul:Mathematics"
      ],
      "glosses": [
        "A class (in the arithmetical hierarchy) of formulae whose outermost unbounded quantifiers are existential quantifiers"
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "formula",
          "formula"
        ],
        [
          "quantifier",
          "quantifier"
        ],
        [
          "existential quantifier",
          "existential quantifier"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A class (in the arithmetical hierarchy) of formulae whose outermost unbounded quantifiers are existential quantifiers"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Σ"
}

This page is a part of the kaikki.org machine-readable Translingual dictionary. This dictionary is based on structured data extracted on 2024-05-09 from the enwiktionary dump dated 2024-05-02 using wiktextract (4d5d0bb and edd475d). 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.