"multihomogenous" meaning in English

See multihomogenous in All languages combined, or Wiktionary

Adjective

Etymology: multi- + homogenous Etymology templates: {{prefix|en|multi|homogenous}} multi- + homogenous Head templates: {{en-adj|-}} multihomogenous (not comparable)
  1. (mathematics) Pertaining to a sum of terms whose monomials all have the same multidegree Tags: not-comparable Categories (topical): Mathematics
    Sense id: en-multihomogenous-en-adj-BEGqgoS5 Categories (other): English entries with incorrect language header, English terms prefixed with multi- Topics: mathematics, sciences

Download JSON data for multihomogenous meaning in English (1.4kB)

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "multi",
        "3": "homogenous"
      },
      "expansion": "multi- + homogenous",
      "name": "prefix"
    }
  ],
  "etymology_text": "multi- + homogenous",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "multihomogenous (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 multi-",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "2016, Alperen Ergur, “Multihomogenous Nonnegative Polynomials and Sums of Squares”, in arXiv",
          "text": "We refine and extend quantitative bounds, on the fraction of nonnegative polynomials that are sums of squares, to the multihomogenous case.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "Pertaining to a sum of terms whose monomials all have the same multidegree"
      ],
      "id": "en-multihomogenous-en-adj-BEGqgoS5",
      "links": [
        [
          "mathematics",
          "mathematics"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Pertaining to a sum of terms whose monomials all have the same multidegree"
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "multihomogenous"
}
{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "multi",
        "3": "homogenous"
      },
      "expansion": "multi- + homogenous",
      "name": "prefix"
    }
  ],
  "etymology_text": "multi- + homogenous",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "multihomogenous (not comparable)",
      "name": "en-adj"
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  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        "English adjectives",
        "English entries with incorrect language header",
        "English lemmas",
        "English terms prefixed with multi-",
        "English terms with quotations",
        "English uncomparable adjectives",
        "en:Mathematics"
      ],
      "examples": [
        {
          "ref": "2016, Alperen Ergur, “Multihomogenous Nonnegative Polynomials and Sums of Squares”, in arXiv",
          "text": "We refine and extend quantitative bounds, on the fraction of nonnegative polynomials that are sums of squares, to the multihomogenous case.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "Pertaining to a sum of terms whose monomials all have the same multidegree"
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Pertaining to a sum of terms whose monomials all have the same multidegree"
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "multihomogenous"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-06-01 from the enwiktionary dump dated 2024-05-02 using wiktextract (384852d and db5a844). 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.