"asymptotic" meaning in All languages combined

{
  "derived": [
    {
      "_dis1": "0 0",
      "word": "asymptotic analysis"
    },
    {
      "_dis1": "0 0",
      "word": "asymptotic curve"
    },
    {
      "_dis1": "0 0",
      "word": "asymptotic giant branch"
    },
    {
      "_dis1": "0 0",
      "word": "asymptotic stability"
    }
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "asymptote",
        "3": "ic"
      },
      "expansion": "asymptote + -ic",
      "name": "suffix"
    }
  ],
  "etymology_text": "From asymptote + -ic.",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "asymptotic (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "2011, Soon-Mo Jung, Hyers–Ulam–Rassias Stability of Functional Equations in Nonlinear Analysis, Springer, page 130",
          "text": "F. Skof investigated an interesting asymptotic property of the additive functions (see Theorem 2.34). In fact, she proved that a function f : E₁ → E₂ is additive if and only if ‖f(x + y) − f(x) − f(y)‖ → 0 as ‖x‖ + ‖y‖ → ∞, where E₁ is a normed space and E₂ is a Banach space.",
          "type": "quotation"
        },
        {
          "ref": "2011, Vera Koponen, \"Some connections between finite, infinite model theory\", Finite and Algorithmic Model Theory, Cambridge University Press, page 110",
          "text": "More recently, a direction of research initiated by Macpherson and Steinhorn [28] and continued by Elwes [13, 14] and Ryten studies classes of finite structures in which definable sets have a uniform asymptotic behaviour, as the cardinalities of the universes increase.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "Pertaining to values or properties approached at infinity."
      ],
      "id": "en-asymptotic-en-adj-lXXxSPDR",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "value",
          "value"
        ],
        [
          "properties",
          "property"
        ],
        [
          "approach",
          "approach"
        ],
        [
          "infinity",
          "infinity"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Pertaining to values or properties approached at infinity."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "_dis1": "89 11",
          "code": "ar",
          "lang": "Arabic",
          "roman": "muqārib",
          "sense": "pertaining to values or properties approached at infinity",
          "tags": [
            "masculine"
          ],
          "word": "مُقَارِب"
        },
        {
          "_dis1": "89 11",
          "code": "ca",
          "lang": "Catalan",
          "sense": "pertaining to values or properties approached at infinity",
          "word": "asimptòtic"
        },
        {
          "_dis1": "89 11",
          "code": "cs",
          "lang": "Czech",
          "sense": "pertaining to values or properties approached at infinity",
          "word": "asymptotický"
        },
        {
          "_dis1": "89 11",
          "code": "fi",
          "lang": "Finnish",
          "sense": "pertaining to values or properties approached at infinity",
          "word": "asymptoottinen"
        },
        {
          "_dis1": "89 11",
          "code": "fr",
          "lang": "French",
          "sense": "pertaining to values or properties approached at infinity",
          "word": "asymptotique"
        },
        {
          "_dis1": "89 11",
          "code": "de",
          "lang": "German",
          "sense": "pertaining to values or properties approached at infinity",
          "word": "asymptotisch"
        },
        {
          "_dis1": "89 11",
          "code": "hu",
          "lang": "Hungarian",
          "sense": "pertaining to values or properties approached at infinity",
          "word": "aszimptotikus"
        },
        {
          "_dis1": "89 11",
          "code": "it",
          "lang": "Italian",
          "sense": "pertaining to values or properties approached at infinity",
          "word": "asintotico"
        },
        {
          "_dis1": "89 11",
          "alt": "ぜんきん",
          "code": "ja",
          "lang": "Japanese",
          "roman": "zenkin",
          "sense": "pertaining to values or properties approached at infinity",
          "word": "漸近"
        },
        {
          "_dis1": "89 11",
          "code": "kk",
          "lang": "Kazakh",
          "roman": "asimptotikalyq",
          "sense": "pertaining to values or properties approached at infinity",
          "word": "асимптотикалық"
        },
        {
          "_dis1": "89 11",
          "code": "pl",
          "lang": "Polish",
          "sense": "pertaining to values or properties approached at infinity",
          "word": "asymptotyczny"
        },
        {
          "_dis1": "89 11",
          "code": "pt",
          "lang": "Portuguese",
          "sense": "pertaining to values or properties approached at infinity",
          "word": "assintótico"
        },
        {
          "_dis1": "89 11",
          "code": "ro",
          "lang": "Romanian",
          "sense": "pertaining to values or properties approached at infinity",
          "tags": [
            "masculine",
            "neuter"
          ],
          "word": "asimptotic"
        },
        {
          "_dis1": "89 11",
          "code": "ru",
          "lang": "Russian",
          "roman": "asimptotíčeskij",
          "sense": "pertaining to values or properties approached at infinity",
          "word": "асимптоти́ческий"
        },
        {
          "_dis1": "89 11",
          "code": "es",
          "lang": "Spanish",
          "sense": "pertaining to values or properties approached at infinity",
          "word": "asintótico"
        },
        {
          "_dis1": "89 11",
          "code": "sv",
          "lang": "Swedish",
          "sense": "pertaining to values or properties approached at infinity",
          "word": "asymptotisk"
        }
      ]
    },
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematical analysis",
          "orig": "en:Mathematical analysis",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "_dis": "32 68",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w+disamb"
        },
        {
          "_dis": "31 69",
          "kind": "other",
          "name": "English terms suffixed with -ic",
          "parents": [],
          "source": "w+disamb"
        }
      ],
      "examples": [
        {
          "text": "The asymptotic behavior of a function"
        }
      ],
      "glosses": [
        "Coming into consideration as a variable tends to a limit, usually infinity."
      ],
      "id": "en-asymptotic-en-adj-1KfIaamq",
      "links": [
        [
          "mathematical analysis",
          "mathematical analysis"
        ],
        [
          "infinity",
          "infinity"
        ]
      ],
      "raw_glosses": [
        "(mathematical analysis) Coming into consideration as a variable tends to a limit, usually infinity."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematical-analysis",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "sounds": [
    {
      "ipa": "/ˌæsɪm(p)ˈtɒtɪk/",
      "tags": [
        "UK"
      ]
    },
    {
      "ipa": "/ˌæsəm(p)ˈtɑtɪk/",
      "tags": [
        "US"
      ]
    },
    {
      "ipa": "/ˌæsəm(p)ˈtɔtɪk/",
      "tags": [
        "US"
      ]
    },
    {
      "rhymes": "-ɒtɪk"
    }
  ],
  "synonyms": [
    {
      "_dis1": "0 0",
      "word": "asymptotical"
    }
  ],
  "word": "asymptotic"
}

{
  "categories": [
    "English 4-syllable words",
    "English adjectives",
    "English entries with incorrect language header",
    "English lemmas",
    "English terms suffixed with -ic",
    "English terms with IPA pronunciation",
    "English uncomparable adjectives",
    "Rhymes:English/ɒtɪk",
    "Rhymes:English/ɒtɪk/4 syllables"
  ],
  "derived": [
    {
      "word": "asymptotic analysis"
    },
    {
      "word": "asymptotic curve"
    },
    {
      "word": "asymptotic giant branch"
    },
    {
      "word": "asymptotic stability"
    }
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "asymptote",
        "3": "ic"
      },
      "expansion": "asymptote + -ic",
      "name": "suffix"
    }
  ],
  "etymology_text": "From asymptote + -ic.",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "asymptotic (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        "English terms with quotations",
        "en:Mathematics"
      ],
      "examples": [
        {
          "ref": "2011, Soon-Mo Jung, Hyers–Ulam–Rassias Stability of Functional Equations in Nonlinear Analysis, Springer, page 130",
          "text": "F. Skof investigated an interesting asymptotic property of the additive functions (see Theorem 2.34). In fact, she proved that a function f : E₁ → E₂ is additive if and only if ‖f(x + y) − f(x) − f(y)‖ → 0 as ‖x‖ + ‖y‖ → ∞, where E₁ is a normed space and E₂ is a Banach space.",
          "type": "quotation"
        },
        {
          "ref": "2011, Vera Koponen, \"Some connections between finite, infinite model theory\", Finite and Algorithmic Model Theory, Cambridge University Press, page 110",
          "text": "More recently, a direction of research initiated by Macpherson and Steinhorn [28] and continued by Elwes [13, 14] and Ryten studies classes of finite structures in which definable sets have a uniform asymptotic behaviour, as the cardinalities of the universes increase.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "Pertaining to values or properties approached at infinity."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "value",
          "value"
        ],
        [
          "properties",
          "property"
        ],
        [
          "approach",
          "approach"
        ],
        [
          "infinity",
          "infinity"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Pertaining to values or properties approached at infinity."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        "en:Mathematical analysis"
      ],
      "examples": [
        {
          "text": "The asymptotic behavior of a function"
        }
      ],
      "glosses": [
        "Coming into consideration as a variable tends to a limit, usually infinity."
      ],
      "links": [
        [
          "mathematical analysis",
          "mathematical analysis"
        ],
        [
          "infinity",
          "infinity"
        ]
      ],
      "raw_glosses": [
        "(mathematical analysis) Coming into consideration as a variable tends to a limit, usually infinity."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematical-analysis",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "sounds": [
    {
      "ipa": "/ˌæsɪm(p)ˈtɒtɪk/",
      "tags": [
        "UK"
      ]
    },
    {
      "ipa": "/ˌæsəm(p)ˈtɑtɪk/",
      "tags": [
        "US"
      ]
    },
    {
      "ipa": "/ˌæsəm(p)ˈtɔtɪk/",
      "tags": [
        "US"
      ]
    },
    {
      "rhymes": "-ɒtɪk"
    }
  ],
  "synonyms": [
    {
      "word": "asymptotical"
    }
  ],
  "translations": [
    {
      "code": "ar",
      "lang": "Arabic",
      "roman": "muqārib",
      "sense": "pertaining to values or properties approached at infinity",
      "tags": [
        "masculine"
      ],
      "word": "مُقَارِب"
    },
    {
      "code": "ca",
      "lang": "Catalan",
      "sense": "pertaining to values or properties approached at infinity",
      "word": "asimptòtic"
    },
    {
      "code": "cs",
      "lang": "Czech",
      "sense": "pertaining to values or properties approached at infinity",
      "word": "asymptotický"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "pertaining to values or properties approached at infinity",
      "word": "asymptoottinen"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "pertaining to values or properties approached at infinity",
      "word": "asymptotique"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "pertaining to values or properties approached at infinity",
      "word": "asymptotisch"
    },
    {
      "code": "hu",
      "lang": "Hungarian",
      "sense": "pertaining to values or properties approached at infinity",
      "word": "aszimptotikus"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "pertaining to values or properties approached at infinity",
      "word": "asintotico"
    },
    {
      "alt": "ぜんきん",
      "code": "ja",
      "lang": "Japanese",
      "roman": "zenkin",
      "sense": "pertaining to values or properties approached at infinity",
      "word": "漸近"
    },
    {
      "code": "kk",
      "lang": "Kazakh",
      "roman": "asimptotikalyq",
      "sense": "pertaining to values or properties approached at infinity",
      "word": "асимптотикалық"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "pertaining to values or properties approached at infinity",
      "word": "asymptotyczny"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "pertaining to values or properties approached at infinity",
      "word": "assintótico"
    },
    {
      "code": "ro",
      "lang": "Romanian",
      "sense": "pertaining to values or properties approached at infinity",
      "tags": [
        "masculine",
        "neuter"
      ],
      "word": "asimptotic"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "asimptotíčeskij",
      "sense": "pertaining to values or properties approached at infinity",
      "word": "асимптоти́ческий"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "sense": "pertaining to values or properties approached at infinity",
      "word": "asintótico"
    },
    {
      "code": "sv",
      "lang": "Swedish",
      "sense": "pertaining to values or properties approached at infinity",
      "word": "asymptotisk"
    }
  ],
  "word": "asymptotic"
}