"smoothness" meaning in All languages combined

See smoothness on Wiktionary

Noun [English]

Audio: LL-Q1860 (eng)-Vealhurl-smoothness.wav Forms: smoothnesses [plural]
Etymology: From Middle English smothenesse; equivalent to smooth + -ness. Compare Old English smēþnes (“smoothness, a smooth place, a level surface”). Etymology templates: {{inh|en|enm|smothenesse}} Middle English smothenesse, {{suffix|en|smooth|ness}} smooth + -ness, {{cog|ang|smēþnes|t=smoothness, a smooth place, a level surface}} Old English smēþnes (“smoothness, a smooth place, a level surface”) Head templates: {{en-noun|~}} smoothness (countable and uncountable, plural smoothnesses)
  1. The condition of being smooth; the degree or measure of said condition. Tags: countable, uncountable Translations (condition of being smooth): ողորկություն (oġorkutʻyun) (Armenian), гла́дкасць (hládkascʹ) [feminine] (Belarusian), yumok (Bikol Central), гладкост (gladkost) [feminine] (Bulgarian), gladheid (Dutch), pehmeys (Finnish), tasaisuus (Finnish), sileys (Finnish), Glätte [feminine] (German), simaság (Hungarian), glateso (Ido), levigatezza [feminine] (Italian), lēvitās [feminine] (Latin), gludums [masculine] (Latvian), smethenesse (Middle English), smothenesse (Middle English), دوزلك (düzlük) (Ottoman Turkish), gładkość [feminine] (Polish), suavidade [feminine] (Portuguese), гла́дкость (gládkostʹ) [feminine] (Russian), гла́дкість (hládkistʹ) [feminine] (Ukrainian)
    Sense id: en-smoothness-en-noun-x0NiyZ8f Disambiguation of 'condition of being smooth': 97 2 1
  2. (mathematical analysis, of a function) The highest order of derivative (the differentiability class) over a given domain. Tags: countable, uncountable Categories (topical): Mathematical analysis
    Sense id: en-smoothness-en-noun-uHaaRpkF Categories (other): English entries with incorrect language header, English terms suffixed with -ness, Entries with translation boxes, Pages with 1 entry, Pages with entries, Terms with Armenian translations, Terms with Belarusian translations, Terms with Bikol Central translations, Terms with Bulgarian translations, Terms with Dutch translations, Terms with Finnish translations, Terms with German translations, Terms with Hungarian translations, Terms with Ido translations, Terms with Italian translations, Terms with Latin translations, Terms with Latvian translations, Terms with Middle English translations, Terms with Ottoman Turkish translations, Terms with Polish translations, Terms with Portuguese translations, Terms with Russian translations, Terms with Ukrainian translations Disambiguation of English entries with incorrect language header: 13 69 18 Disambiguation of English terms suffixed with -ness: 17 68 15 Disambiguation of Entries with translation boxes: 9 82 9 Disambiguation of Pages with 1 entry: 13 74 13 Disambiguation of Pages with entries: 7 87 7 Disambiguation of Terms with Armenian translations: 13 75 12 Disambiguation of Terms with Belarusian translations: 11 76 13 Disambiguation of Terms with Bikol Central translations: 2 96 2 Disambiguation of Terms with Bulgarian translations: 13 75 12 Disambiguation of Terms with Dutch translations: 11 77 11 Disambiguation of Terms with Finnish translations: 13 75 12 Disambiguation of Terms with German translations: 11 78 11 Disambiguation of Terms with Hungarian translations: 10 67 23 Disambiguation of Terms with Ido translations: 8 85 7 Disambiguation of Terms with Italian translations: 9 83 9 Disambiguation of Terms with Latin translations: 9 83 9 Disambiguation of Terms with Latvian translations: 14 73 13 Disambiguation of Terms with Middle English translations: 20 70 10 Disambiguation of Terms with Ottoman Turkish translations: 15 70 15 Disambiguation of Terms with Polish translations: 25 65 10 Disambiguation of Terms with Portuguese translations: 14 74 12 Disambiguation of Terms with Russian translations: 8 84 8 Disambiguation of Terms with Ukrainian translations: 14 73 13 Topics: mathematical-analysis, mathematics, sciences
  3. (approximation theory, numerical analysis, of a function) The quantity measured by the modulus of smoothness. Tags: countable, uncountable
    Sense id: en-smoothness-en-noun-Kn3yc0qK
The following are not (yet) sense-disambiguated
Derived forms: modulus of smoothness Related terms: differentiability class, modulus of continuity, modulus of smoothness, uniform continuity Translations (quantitative measure of how smooth a function is): sileys (Finnish)
Disambiguation of 'quantitative measure of how smooth a function is': 47 14 39

Inflected forms

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          "_dis1": "97 2 1",
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          "word": "tasaisuus"
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          "sense": "condition of being smooth",
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          "sense": "condition of being smooth",
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          "code": "it",
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          "sense": "condition of being smooth",
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        {
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        {
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          "code": "enm",
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          "_dis1": "97 2 1",
          "code": "ota",
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          "roman": "düzlük",
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          "word": "دوزلك"
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          "_dis1": "97 2 1",
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          "roman": "hládkistʹ",
          "sense": "condition of being smooth",
          "tags": [
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        }
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          "text": "A central problem in approximation theory is to characterize the best approximation of a function by polynomials, or other classes of simple functions, in terms of the smoothness of the function. In this chapter, we study the characterization of the best approximation by polynomials on the sphere. In the classical setting of one variable, the smoothness of a function on #92;mathbbS¹ is described by the modulus of smoothness, defined by the forward difference.",
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        "(approximation theory, numerical analysis, of a function) The quantity measured by the modulus of smoothness."
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      "_dis1": "47 14 39",
      "code": "fi",
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      "categories": [
        "English terms with usage examples",
        "en:Mathematical analysis"
      ],
      "examples": [
        {
          "text": "Smoothness can vary from 0 (for a nondifferentiable function) to infinity (for a smooth function).",
          "type": "example"
        }
      ],
      "glosses": [
        "The highest order of derivative (the differentiability class) over a given domain."
      ],
      "links": [
        [
          "mathematical analysis",
          "mathematical analysis"
        ],
        [
          "derivative",
          "derivative"
        ],
        [
          "differentiability class",
          "differentiability class"
        ],
        [
          "domain",
          "domain"
        ]
      ],
      "raw_glosses": [
        "(mathematical analysis, of a function) The highest order of derivative (the differentiability class) over a given domain."
      ],
      "raw_tags": [
        "of a function"
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "mathematical-analysis",
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        "English terms with quotations"
      ],
      "examples": [
        {
          "ref": "2013, Feng Dai, Yuan Xu, Approximation Theory and Harmonic Analysis on Spheres and Balls, Springer, page 79:",
          "text": "A central problem in approximation theory is to characterize the best approximation of a function by polynomials, or other classes of simple functions, in terms of the smoothness of the function. In this chapter, we study the characterization of the best approximation by polynomials on the sphere. In the classical setting of one variable, the smoothness of a function on #92;mathbbS¹ is described by the modulus of smoothness, defined by the forward difference.",
          "type": "quote"
        }
      ],
      "glosses": [
        "The quantity measured by the modulus of smoothness."
      ],
      "links": [
        [
          "modulus of smoothness",
          "modulus of smoothness"
        ]
      ],
      "qualifier": "approximation theory; numerical analysis; approximation theory; numerical analysis",
      "raw_glosses": [
        "(approximation theory, numerical analysis, of a function) The quantity measured by the modulus of smoothness."
      ],
      "raw_tags": [
        "of a function"
      ],
      "tags": [
        "countable",
        "uncountable"
      ]
    }
  ],
  "sounds": [
    {
      "audio": "LL-Q1860 (eng)-Vealhurl-smoothness.wav",
      "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/7/74/LL-Q1860_%28eng%29-Vealhurl-smoothness.wav/LL-Q1860_%28eng%29-Vealhurl-smoothness.wav.mp3",
      "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/7/74/LL-Q1860_%28eng%29-Vealhurl-smoothness.wav/LL-Q1860_%28eng%29-Vealhurl-smoothness.wav.ogg"
    }
  ],
  "translations": [
    {
      "code": "hy",
      "lang": "Armenian",
      "roman": "oġorkutʻyun",
      "sense": "condition of being smooth",
      "word": "ողորկություն"
    },
    {
      "code": "be",
      "lang": "Belarusian",
      "roman": "hládkascʹ",
      "sense": "condition of being smooth",
      "tags": [
        "feminine"
      ],
      "word": "гла́дкасць"
    },
    {
      "code": "bcl",
      "lang": "Bikol Central",
      "sense": "condition of being smooth",
      "word": "yumok"
    },
    {
      "code": "bg",
      "lang": "Bulgarian",
      "roman": "gladkost",
      "sense": "condition of being smooth",
      "tags": [
        "feminine"
      ],
      "word": "гладкост"
    },
    {
      "code": "nl",
      "lang": "Dutch",
      "sense": "condition of being smooth",
      "word": "gladheid"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "condition of being smooth",
      "word": "pehmeys"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "condition of being smooth",
      "word": "tasaisuus"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "condition of being smooth",
      "word": "sileys"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "condition of being smooth",
      "tags": [
        "feminine"
      ],
      "word": "Glätte"
    },
    {
      "code": "hu",
      "lang": "Hungarian",
      "sense": "condition of being smooth",
      "word": "simaság"
    },
    {
      "code": "io",
      "lang": "Ido",
      "sense": "condition of being smooth",
      "word": "glateso"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "condition of being smooth",
      "tags": [
        "feminine"
      ],
      "word": "levigatezza"
    },
    {
      "code": "la",
      "lang": "Latin",
      "sense": "condition of being smooth",
      "tags": [
        "feminine"
      ],
      "word": "lēvitās"
    },
    {
      "code": "lv",
      "lang": "Latvian",
      "sense": "condition of being smooth",
      "tags": [
        "masculine"
      ],
      "word": "gludums"
    },
    {
      "code": "enm",
      "lang": "Middle English",
      "sense": "condition of being smooth",
      "word": "smethenesse"
    },
    {
      "code": "enm",
      "lang": "Middle English",
      "sense": "condition of being smooth",
      "word": "smothenesse"
    },
    {
      "code": "ota",
      "lang": "Ottoman Turkish",
      "roman": "düzlük",
      "sense": "condition of being smooth",
      "word": "دوزلك"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "condition of being smooth",
      "tags": [
        "feminine"
      ],
      "word": "gładkość"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "condition of being smooth",
      "tags": [
        "feminine"
      ],
      "word": "suavidade"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "gládkostʹ",
      "sense": "condition of being smooth",
      "tags": [
        "feminine"
      ],
      "word": "гла́дкость"
    },
    {
      "code": "uk",
      "lang": "Ukrainian",
      "roman": "hládkistʹ",
      "sense": "condition of being smooth",
      "tags": [
        "feminine"
      ],
      "word": "гла́дкість"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "quantitative measure of how smooth a function is",
      "word": "sileys"
    }
  ],
  "wikipedia": [
    "smoothness"
  ],
  "word": "smoothness"
}

Download raw JSONL data for smoothness meaning in All languages combined (8.5kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-01-10 from the enwiktionary dump dated 2025-01-01 using wiktextract (df33d17 and 4ed51a5). 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.