"partially ordered" meaning in All languages combined

{
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "partially ordered (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English entries with language name categories using raw markup",
          "parents": [
            "Entries with language name categories using raw markup",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms with non-redundant non-automated sortkeys",
          "parents": [
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          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Set theory",
          "orig": "en:Set theory",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "derived": [
        {
          "word": "partially ordered set"
        }
      ],
      "examples": [
        {
          "ref": "1963, L. V. Kantorovič, B. Z. Vulih, A. G. Pinsker, “Partially Ordered Groups and Partially Ordered Linear Spaces”, in A. L. Brudno, editor, American Mathematical Society Translations, Series 2, Volume 27: 18 papers on algebra, American Mathematical Society, page 51",
          "text": "This leads to the introduction of new kinds of abstract spaces—partially ordered linear spaces—and to their systematic use in functional analysis. The beginnings of a theory of partially ordered linear spaces are given in the works of L. V. Kantorovič in 1935-1937.",
          "type": "quotation"
        },
        {
          "ref": "1966, S. J. Taylor, Introduction to Measure and Integration, Cambridge University Press, page 22",
          "text": "The chains in #x5C;mathcal#x7B;V#x7D; form a class #x5C;mathcal#x7B;C#x7D; which is partially ordered by inclusion.",
          "type": "quotation"
        },
        {
          "text": "2008, Patrik Eklund, M. Ángeles Galán, Partially Ordered Monads and Rough Sets, James F. Peters, Andrzej Skowron (editors), Transactions on Rough Sets VIII, Volume 8, Springer, LNCS 5084, page 53,\nIn this paper we will show that partially ordered monads contain appropriate structure for modeling rough sets in a generalized relational setting."
        }
      ],
      "glosses": [
        "Equipped with a partial order; when the partial order is specified, often construed with by."
      ],
      "id": "en-partially_ordered-en-adj-wbTaEQlG",
      "links": [
        [
          "set theory",
          "set theory"
        ],
        [
          "partial order",
          "partial order"
        ],
        [
          "by",
          "by"
        ]
      ],
      "raw_glosses": [
        "(set theory, order theory, of a set) Equipped with a partial order; when the partial order is specified, often construed with by."
      ],
      "raw_tags": [
        "of a set"
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "order-theory",
        "sciences",
        "set-theory"
      ],
      "translations": [
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "Translations",
          "word": "osittain järjestetty"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "Translations",
          "word": "partiell geordnet"
        },
        {
          "code": "pl",
          "lang": "Polish",
          "sense": "Translations",
          "word": "uporządkowany"
        }
      ]
    }
  ],
  "word": "partially ordered"
}

{
  "derived": [
    {
      "word": "partially ordered set"
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "partially ordered (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        "English adjectives",
        "English adverb-adjective phrases",
        "English entries with incorrect language header",
        "English entries with language name categories using raw markup",
        "English lemmas",
        "English multiword terms",
        "English terms with non-redundant non-automated sortkeys",
        "English terms with quotations",
        "English uncomparable adjectives",
        "Translation table header lacks gloss",
        "en:Set theory"
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      "examples": [
        {
          "ref": "1963, L. V. Kantorovič, B. Z. Vulih, A. G. Pinsker, “Partially Ordered Groups and Partially Ordered Linear Spaces”, in A. L. Brudno, editor, American Mathematical Society Translations, Series 2, Volume 27: 18 papers on algebra, American Mathematical Society, page 51",
          "text": "This leads to the introduction of new kinds of abstract spaces—partially ordered linear spaces—and to their systematic use in functional analysis. The beginnings of a theory of partially ordered linear spaces are given in the works of L. V. Kantorovič in 1935-1937.",
          "type": "quotation"
        },
        {
          "ref": "1966, S. J. Taylor, Introduction to Measure and Integration, Cambridge University Press, page 22",
          "text": "The chains in #x5C;mathcal#x7B;V#x7D; form a class #x5C;mathcal#x7B;C#x7D; which is partially ordered by inclusion.",
          "type": "quotation"
        },
        {
          "text": "2008, Patrik Eklund, M. Ángeles Galán, Partially Ordered Monads and Rough Sets, James F. Peters, Andrzej Skowron (editors), Transactions on Rough Sets VIII, Volume 8, Springer, LNCS 5084, page 53,\nIn this paper we will show that partially ordered monads contain appropriate structure for modeling rough sets in a generalized relational setting."
        }
      ],
      "glosses": [
        "Equipped with a partial order; when the partial order is specified, often construed with by."
      ],
      "links": [
        [
          "set theory",
          "set theory"
        ],
        [
          "partial order",
          "partial order"
        ],
        [
          "by",
          "by"
        ]
      ],
      "raw_glosses": [
        "(set theory, order theory, of a set) Equipped with a partial order; when the partial order is specified, often construed with by."
      ],
      "raw_tags": [
        "of a set"
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "order-theory",
        "sciences",
        "set-theory"
      ]
    }
  ],
  "translations": [
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "Translations",
      "word": "osittain järjestetty"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "Translations",
      "word": "partiell geordnet"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "Translations",
      "word": "uporządkowany"
    }
  ],
  "word": "partially ordered"
}