"biproportional" meaning in English

See biproportional in All languages combined, or Wiktionary

Adjective

Etymology: bi- + proportional Etymology templates: {{prefix|en|bi|proportional}} bi- + proportional Head templates: {{en-adj|-}} biproportional (not comparable)
  1. (mathematics) Providing two-way proportionality. Tags: not-comparable Categories (topical): Mathematics
    Sense id: en-biproportional-en-adj-3ScaC7HS Categories (other): English entries with incorrect language header, English terms prefixed with bi- Topics: mathematics, sciences

Download JSON data for biproportional meaning in English (1.8kB)

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "bi",
        "3": "proportional"
      },
      "expansion": "bi- + proportional",
      "name": "prefix"
    }
  ],
  "etymology_text": "bi- + proportional",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "biproportional (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 terms prefixed with bi-",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "2016, Jean Brossard, Christophe Leuridan, “Iterated proportional fitting procedure and infinite products of stochastic matrices”, in arXiv",
          "text": "Given a rectangular non-negative matrix X#x5F;0 and two positive marginals a and b, the algorithm generates a sequence of matrices (X#x5F;n) starting at X#x5F;0, supposed to converge to a biproportional fitting, that is, to a matrix Y whose marginals are a and b and of the form Y#x3D;D#x5F;1X#x5F;0D#x5F;2, for some diagonal matrices D#x5F;1 and D#x5F;2 with positive diagonal entries. When a biproportional fitting does exist, it is unique and the sequence (X#x5F;n) converges to it at an at least geometric rate.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "Providing two-way proportionality."
      ],
      "id": "en-biproportional-en-adj-3ScaC7HS",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "proportionality",
          "proportionality"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Providing two-way proportionality."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "biproportional"
}
{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "bi",
        "3": "proportional"
      },
      "expansion": "bi- + proportional",
      "name": "prefix"
    }
  ],
  "etymology_text": "bi- + proportional",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "biproportional (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        "English adjectives",
        "English entries with incorrect language header",
        "English lemmas",
        "English terms prefixed with bi-",
        "English terms with quotations",
        "English uncomparable adjectives",
        "en:Mathematics"
      ],
      "examples": [
        {
          "ref": "2016, Jean Brossard, Christophe Leuridan, “Iterated proportional fitting procedure and infinite products of stochastic matrices”, in arXiv",
          "text": "Given a rectangular non-negative matrix X#x5F;0 and two positive marginals a and b, the algorithm generates a sequence of matrices (X#x5F;n) starting at X#x5F;0, supposed to converge to a biproportional fitting, that is, to a matrix Y whose marginals are a and b and of the form Y#x3D;D#x5F;1X#x5F;0D#x5F;2, for some diagonal matrices D#x5F;1 and D#x5F;2 with positive diagonal entries. When a biproportional fitting does exist, it is unique and the sequence (X#x5F;n) converges to it at an at least geometric rate.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "Providing two-way proportionality."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "proportionality",
          "proportionality"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Providing two-way proportionality."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "biproportional"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-20 from the enwiktionary dump dated 2024-05-02 using wiktextract (1d5a7d1 and 304864d). 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.

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