"mollifier" meaning in All languages combined

See mollifier on Wiktionary

Noun [English]

Forms: mollifiers [plural]
Etymology: From mollify + -er. Etymology templates: {{suffix|en|mollify|er|id2=agent noun}} mollify + -er Head templates: {{en-noun}} mollifier (plural mollifiers)
  1. One who mollifies.
    Sense id: en-mollifier-en-noun-47wqzxeg
  2. (mathematics) An "approximation to the identity", a smooth function with special properties, used in distribution theory to create sequences of smooth functions approximating nonsmooth (generalized) functions, via convolution. Categories (topical): Mathematics
    Sense id: en-mollifier-en-noun-b6LIC1oe Categories (other): English entries with incorrect language header, English terms suffixed with -er (agent noun), Pages with 1 entry Disambiguation of English entries with incorrect language header: 44 56 Disambiguation of English terms suffixed with -er (agent noun): 39 61 Disambiguation of Pages with 1 entry: 43 57 Topics: mathematics, sciences

Inflected forms

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "mollify",
        "3": "er",
        "id2": "agent noun"
      },
      "expansion": "mollify + -er",
      "name": "suffix"
    }
  ],
  "etymology_text": "From mollify + -er.",
  "forms": [
    {
      "form": "mollifiers",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "mollifier (plural mollifiers)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [],
      "examples": [
        {
          "ref": "1705, Henry Sheeres, A Discourse concerning the Mediterranean Sea, and the Streights of Gibraltar",
          "text": "[…] the Lord Treasurer, who ever secretly feigned himself to be a Moderator and Mollifier of the Catholicks Afflictions […]",
          "type": "quotation"
        }
      ],
      "glosses": [
        "One who mollifies."
      ],
      "id": "en-mollifier-en-noun-47wqzxeg"
    },
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "_dis": "44 56",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w+disamb"
        },
        {
          "_dis": "39 61",
          "kind": "other",
          "name": "English terms suffixed with -er (agent noun)",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "43 57",
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w+disamb"
        }
      ],
      "examples": [
        {
          "ref": "2009, Notices of the American Mathematical Society, volume 56, number 6",
          "text": "I particularly remember how, at that time, I was using his mollifier method to study the zero density of L-functions and was stuck with something.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "An \"approximation to the identity\", a smooth function with special properties, used in distribution theory to create sequences of smooth functions approximating nonsmooth (generalized) functions, via convolution."
      ],
      "id": "en-mollifier-en-noun-b6LIC1oe",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "approximation",
          "approximation"
        ],
        [
          "identity",
          "identity"
        ],
        [
          "smooth",
          "smooth"
        ],
        [
          "function",
          "function"
        ],
        [
          "distribution theory",
          "distribution theory"
        ],
        [
          "sequence",
          "sequence"
        ],
        [
          "nonsmooth",
          "nonsmooth"
        ],
        [
          "convolution",
          "convolution"
        ]
      ],
      "raw_glosses": [
        "(mathematics) An \"approximation to the identity\", a smooth function with special properties, used in distribution theory to create sequences of smooth functions approximating nonsmooth (generalized) functions, via convolution."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "wikipedia": [
    "mollifier"
  ],
  "word": "mollifier"
}
{
  "categories": [
    "English countable nouns",
    "English entries with incorrect language header",
    "English lemmas",
    "English nouns",
    "English terms suffixed with -er (agent noun)",
    "Pages with 1 entry"
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "mollify",
        "3": "er",
        "id2": "agent noun"
      },
      "expansion": "mollify + -er",
      "name": "suffix"
    }
  ],
  "etymology_text": "From mollify + -er.",
  "forms": [
    {
      "form": "mollifiers",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "mollifier (plural mollifiers)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English terms with quotations",
        "Quotation templates to be cleaned"
      ],
      "examples": [
        {
          "ref": "1705, Henry Sheeres, A Discourse concerning the Mediterranean Sea, and the Streights of Gibraltar",
          "text": "[…] the Lord Treasurer, who ever secretly feigned himself to be a Moderator and Mollifier of the Catholicks Afflictions […]",
          "type": "quotation"
        }
      ],
      "glosses": [
        "One who mollifies."
      ]
    },
    {
      "categories": [
        "English terms with quotations",
        "en:Mathematics"
      ],
      "examples": [
        {
          "ref": "2009, Notices of the American Mathematical Society, volume 56, number 6",
          "text": "I particularly remember how, at that time, I was using his mollifier method to study the zero density of L-functions and was stuck with something.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "An \"approximation to the identity\", a smooth function with special properties, used in distribution theory to create sequences of smooth functions approximating nonsmooth (generalized) functions, via convolution."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "approximation",
          "approximation"
        ],
        [
          "identity",
          "identity"
        ],
        [
          "smooth",
          "smooth"
        ],
        [
          "function",
          "function"
        ],
        [
          "distribution theory",
          "distribution theory"
        ],
        [
          "sequence",
          "sequence"
        ],
        [
          "nonsmooth",
          "nonsmooth"
        ],
        [
          "convolution",
          "convolution"
        ]
      ],
      "raw_glosses": [
        "(mathematics) An \"approximation to the identity\", a smooth function with special properties, used in distribution theory to create sequences of smooth functions approximating nonsmooth (generalized) functions, via convolution."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "wikipedia": [
    "mollifier"
  ],
  "word": "mollifier"
}

Download raw JSONL data for mollifier meaning in All languages combined (2.2kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-09-01 from the enwiktionary dump dated 2024-08-20 using wiktextract (8e41825 and f99c758). 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.