"joint entropy" meaning in English

{
  "forms": [
    {
      "form": "joint entropies",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "~"
      },
      "expansion": "joint entropy (countable and uncountable, plural joint entropies)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Information theory",
          "orig": "en:Information theory",
          "parents": [
            "Applied mathematics",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "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."
      ],
      "id": "en-joint_entropy-en-noun-kCXHYSjX",
      "links": [
        [
          "information theory",
          "information theory"
        ],
        [
          "Shannon entropy",
          "Shannon entropy"
        ],
        [
          "script",
          "script"
        ],
        [
          "character",
          "character"
        ],
        [
          "Cartesian product",
          "Cartesian product"
        ]
      ],
      "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"
        }
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "computing",
        "engineering",
        "information-theory",
        "mathematics",
        "natural-sciences",
        "physical-sciences",
        "sciences"
      ],
      "wikipedia": [
        "joint entropy"
      ]
    }
  ],
  "word": "joint entropy"
}

{
  "forms": [
    {
      "form": "joint entropies",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "~"
      },
      "expansion": "joint entropy (countable and uncountable, plural joint entropies)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "joint probability"
    }
  ],
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms with usage examples",
        "English uncountable nouns",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Information theory"
      ],
      "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."
      ],
      "links": [
        [
          "information theory",
          "information theory"
        ],
        [
          "Shannon entropy",
          "Shannon entropy"
        ],
        [
          "script",
          "script"
        ],
        [
          "character",
          "character"
        ],
        [
          "Cartesian product",
          "Cartesian product"
        ]
      ],
      "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."
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "computing",
        "engineering",
        "information-theory",
        "mathematics",
        "natural-sciences",
        "physical-sciences",
        "sciences"
      ],
      "wikipedia": [
        "joint entropy"
      ]
    }
  ],
  "word": "joint entropy"
}