"meromorphic" meaning in All languages combined

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  "etymology_text": "From mero- + -morphic.",
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      "expansion": "meromorphic (not comparable)",
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  "lang_code": "en",
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        },
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      "derived": [
        {
          "word": "bimeromorphic"
        },
        {
          "word": "hypermeromorphic"
        },
        {
          "word": "meromorphically"
        },
        {
          "word": "quasimeromorphic"
        }
      ],
      "examples": [
        {
          "ref": "1993, Joel L. Schiff, Normal Families, Springer, page 71:",
          "text": "Normal families of meromorphic functions are most naturally studied using the spherical metric (§1.2), an approach initiated by Ostrowski [1926]. Some results for meromorphic functions, such as the FNT, are immediate extensions from the analytic case, whereas others, such as Landau's or Julia's theorem are set in a much broader context than their analytic counterparts. Normality criteria pertinent to families of meromorphic functions, such as Marty's theorem, have not yet been encountered.",
          "type": "quote"
        },
        {
          "ref": "2000, Werner Balser, Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations, Springer, page 39:",
          "text": "Note that such a transformation is holomorphic at the origin, but is essentially singular at infinity. However, since T(z) commutes with A(z), the transformed system has coefficient matrix A(z)-zq'(z)I and hence is again meromorphic at infinity.",
          "type": "quote"
        },
        {
          "ref": "2012, Marius van der Put, Michael F. Singer, Galois Theory of Linear Differential Equations, Springer, page 147:",
          "text": "A point p#x5C;inP¹ is singular for #x5C;textstyle#x5C;frac#x7B;d#x7D;#x7B;dz#x7D;-A if the equation cannot be made regular at p with a local meromorphic transformation.",
          "type": "quote"
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      "glosses": [
        "That is the ratio of two holomorphic functions (and so possibly infinite at a discrete set of points)."
      ],
      "id": "en-meromorphic-en-adj-1gB56-GF",
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          "complex analysis",
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          "ratio",
          "ratio"
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          "holomorphic",
          "holomorphic"
        ],
        [
          "discrete",
          "discrete"
        ]
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      "raw_glosses": [
        "(complex analysis, of a function) That is the ratio of two holomorphic functions (and so possibly infinite at a discrete set of points)."
      ],
      "raw_tags": [
        "of a function"
      ],
      "related": [
        {
          "word": "holomorphic"
        },
        {
          "word": "meromorphism"
        }
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "complex-analysis",
        "mathematics",
        "sciences"
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      "translations": [
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "Translations",
          "word": "meromorfinen"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "Translations",
          "word": "meromorph"
        },
        {
          "code": "pl",
          "lang": "Polish",
          "sense": "Translations",
          "word": "meromorficzny"
        },
        {
          "code": "ru",
          "lang": "Russian",
          "roman": "meromorfnyj",
          "sense": "Translations",
          "word": "мероморфный"
        }
      ],
      "wikipedia": [
        "meromorphic"
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  "word": "meromorphic"
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{
  "derived": [
    {
      "word": "bimeromorphic"
    },
    {
      "word": "hypermeromorphic"
    },
    {
      "word": "meromorphically"
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    {
      "word": "quasimeromorphic"
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  "lang_code": "en",
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    {
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      "word": "meromorphism"
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          "type": "quote"
        },
        {
          "ref": "2000, Werner Balser, Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations, Springer, page 39:",
          "text": "Note that such a transformation is holomorphic at the origin, but is essentially singular at infinity. However, since T(z) commutes with A(z), the transformed system has coefficient matrix A(z)-zq'(z)I and hence is again meromorphic at infinity.",
          "type": "quote"
        },
        {
          "ref": "2012, Marius van der Put, Michael F. Singer, Galois Theory of Linear Differential Equations, Springer, page 147:",
          "text": "A point p#x5C;inP¹ is singular for #x5C;textstyle#x5C;frac#x7B;d#x7D;#x7B;dz#x7D;-A if the equation cannot be made regular at p with a local meromorphic transformation.",
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        "That is the ratio of two holomorphic functions (and so possibly infinite at a discrete set of points)."
      ],
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        "(complex analysis, of a function) That is the ratio of two holomorphic functions (and so possibly infinite at a discrete set of points)."
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        "not-comparable"
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  "translations": [
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "Translations",
      "word": "meromorfinen"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "Translations",
      "word": "meromorph"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "Translations",
      "word": "meromorficzny"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "meromorfnyj",
      "sense": "Translations",
      "word": "мероморфный"
    }
  ],
  "word": "meromorphic"
}