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In probability theory, particularly information theory, the conditional mutual information [1] [2] is, in its most basic form, the expected value of the mutual information of two random variables given the value of a third.
An example of a common discourse kritik is a gendered language kritik, which could be used if an opponent's case has been written exclusively containing the male pronoun. Another example is if the opponent uses a slur (such as a derogatory term for homosexuals) in or out of the round, which opens the way to a "bad discourse" kritik.
A more complicated example is given by recursive descent parsers, which can be naturally implemented by having one function for each production rule of a grammar, which then mutually recurse; this will in general be multiple recursion, as production rules generally combine multiple parts. This can also be done without mutual recursion, for ...
Venn diagram of (true part in red) In logic and mathematics, the logical biconditional, also known as material biconditional or equivalence or biimplication or bientailment, is the logical connective used to conjoin two statements and to form the statement "if and only if" (often abbreviated as "iff " [1]), where is known as the antecedent, and the consequent.
Syntactically, (1) and (2) are derivable from each other via the rules of contraposition and double negation. Semantically, (1) and (2) are true in exactly the same models (interpretations, valuations); namely, those in which either Lisa is in Denmark is false or Lisa is in Europe is true. (Note that in this example, classical logic is assumed
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Mutual funds vs. ETFs. ETFs often work much like mutual funds, but they have some key differences. ETFs usually track an index or other asset, and they can be bought and sold on exchanges like stocks.
The definition of quantum mutual entropy is motivated by the classical case. For a probability distribution of two variables p(x, y), the two marginal distributions are = (,), = (,). The classical mutual information I(X:Y) is defined by