"joint entropy" meaning in All languages combined

{
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    {
      "form": "joint entropies",
      "tags": [
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
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          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
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          "langcode": "en",
          "name": "Information theory",
          "orig": "en:Information theory",
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      "examples": [
        {
          "text": "If random variables X and Y are mutually independent, then their joint entropy H(X,Y) is just the sum H(X)#x2B;H(Y) of its component entropies. If they are not mutually independent, then their joint entropy will be H(X)#x2B;H(Y)-I(X#x3B;Y) where I(X#x3B;Y) is the mutual information of X and Y.",
          "type": "example"
        }
      ],
      "glosses": [
        "The Shannon entropy of a \"script\" whose \"characters\" are elements of the Cartesian product of the sets of characters of the component scripts."
      ],
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          "Shannon entropy",
          "Shannon entropy"
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        [
          "character",
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        [
          "Cartesian product",
          "Cartesian product"
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      "raw_glosses": [
        "(information theory) The Shannon entropy of a \"script\" whose \"characters\" are elements of the Cartesian product of the sets of characters of the component scripts."
      ],
      "related": [
        {
          "word": "joint probability"
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        "uncountable"
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  "word": "joint entropy"
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{
  "forms": [
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      "form": "joint entropies",
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  "pos": "noun",
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    {
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  "senses": [
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      "examples": [
        {
          "text": "If random variables X and Y are mutually independent, then their joint entropy H(X,Y) is just the sum H(X)#x2B;H(Y) of its component entropies. If they are not mutually independent, then their joint entropy will be H(X)#x2B;H(Y)-I(X#x3B;Y) where I(X#x3B;Y) is the mutual information of X and Y.",
          "type": "example"
        }
      ],
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        "The Shannon entropy of a \"script\" whose \"characters\" are elements of the Cartesian product of the sets of characters of the component scripts."
      ],
      "links": [
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          "information theory",
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        ],
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          "script",
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          "character",
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        "(information theory) The Shannon entropy of a \"script\" whose \"characters\" are elements of the Cartesian product of the sets of characters of the component scripts."
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