"protoadditive" meaning in English

See protoadditive in All languages combined, or Wiktionary

Adjective

Etymology: proto- + additive Etymology templates: {{prefix|en|proto|additive}} proto- + additive Head templates: {{en-adj|-}} protoadditive (not comparable)
  1. (mathematics, of a function) Having the property that the result when applied to x + y is less than or equal to the sum of the result when applied to x plus the result when applied to y, for all values x and y in the domain. Tags: not-comparable Categories (topical): Mathematics
    Sense id: en-protoadditive-en-adj-tyGLsi1p Categories (other): English entries with incorrect language header, English terms prefixed with proto- Topics: mathematics, sciences

Download JSON data for protoadditive meaning in English (1.9kB)

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "proto",
        "3": "additive"
      },
      "expansion": "proto- + additive",
      "name": "prefix"
    }
  ],
  "etymology_text": "proto- + additive",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "protoadditive (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 proto-",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "2015, Tomas Everaert, Marino Gran, “Some aspects of semi-abelian homology and protoadditive functors”, in arXiv",
          "text": "In particular the role of protoadditive functors in the study of Hopf formulae for homology is explained..",
          "type": "quotation"
        }
      ],
      "glosses": [
        "Having the property that the result when applied to x + y is less than or equal to the sum of the result when applied to x plus the result when applied to y, for all values x and y in the domain."
      ],
      "id": "en-protoadditive-en-adj-tyGLsi1p",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "Having",
          "have"
        ],
        [
          "property",
          "property"
        ],
        [
          "result",
          "result"
        ],
        [
          "applied",
          "applied"
        ],
        [
          "equal",
          "equal"
        ],
        [
          "sum",
          "sum"
        ],
        [
          "value",
          "value"
        ],
        [
          "domain",
          "domain"
        ]
      ],
      "raw_glosses": [
        "(mathematics, of a function) Having the property that the result when applied to x + y is less than or equal to the sum of the result when applied to x plus the result when applied to y, for all values x and y in the domain."
      ],
      "raw_tags": [
        "of a function"
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "protoadditive"
}
{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "proto",
        "3": "additive"
      },
      "expansion": "proto- + additive",
      "name": "prefix"
    }
  ],
  "etymology_text": "proto- + additive",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "protoadditive (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 proto-",
        "English terms with quotations",
        "English uncomparable adjectives",
        "en:Mathematics"
      ],
      "examples": [
        {
          "ref": "2015, Tomas Everaert, Marino Gran, “Some aspects of semi-abelian homology and protoadditive functors”, in arXiv",
          "text": "In particular the role of protoadditive functors in the study of Hopf formulae for homology is explained..",
          "type": "quotation"
        }
      ],
      "glosses": [
        "Having the property that the result when applied to x + y is less than or equal to the sum of the result when applied to x plus the result when applied to y, for all values x and y in the domain."
      ],
      "links": [
        [
          "mathematics",
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        ],
        [
          "Having",
          "have"
        ],
        [
          "property",
          "property"
        ],
        [
          "result",
          "result"
        ],
        [
          "applied",
          "applied"
        ],
        [
          "equal",
          "equal"
        ],
        [
          "sum",
          "sum"
        ],
        [
          "value",
          "value"
        ],
        [
          "domain",
          "domain"
        ]
      ],
      "raw_glosses": [
        "(mathematics, of a function) Having the property that the result when applied to x + y is less than or equal to the sum of the result when applied to x plus the result when applied to y, for all values x and y in the domain."
      ],
      "raw_tags": [
        "of a function"
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "protoadditive"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-06-23 from the enwiktionary dump dated 2024-06-20 using wiktextract (1b9bfc5 and 0136956). 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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