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- Binary_entropy_function abstract "In information theory, the binary entropy function, denoted or , is defined as the entropy of a Bernoulli process with probability of success p. Mathematically, the Bernoulli trial is modelled as a random variable X that can take on only two values: 0 and 1. The event is considered a success and the event is considered a failure. (These two events are mutually exclusive and exhaustive.)If then and the entropy of X is given bywhere is taken to be 0. The logarithms in this formula are usually taken (as shown in the graph) to the base 2. See binary logarithm.When the binary entropy function attains its maximum value. This is the case of the unbiased bit, the most common unit of information entropy.is distinguished from the entropy function in that the former takes a single real number as a parameter whereas the latter takes a distribution or random variables as a parameter.Sometimes the binary entropy function is also written as .However, it is different from and should not be confused with the Rényi entropy, which is denoted as .".
- Binary_entropy_function thumbnail Binary_entropy_plot.svg?width=300.
- Binary_entropy_function wikiPageExternalLink book.html.
- Binary_entropy_function wikiPageID "5275277".
- Binary_entropy_function wikiPageRevisionID "573192446".
- Binary_entropy_function hasPhotoCollection Binary_entropy_function.
- Binary_entropy_function subject Category:Entropy_and_information.
- Binary_entropy_function comment "In information theory, the binary entropy function, denoted or , is defined as the entropy of a Bernoulli process with probability of success p. Mathematically, the Bernoulli trial is modelled as a random variable X that can take on only two values: 0 and 1. The event is considered a success and the event is considered a failure. (These two events are mutually exclusive and exhaustive.)If then and the entropy of X is given bywhere is taken to be 0.".
- Binary_entropy_function label "Binary entropy function".
- Binary_entropy_function sameAs m.0dc1gm.
- Binary_entropy_function sameAs Q4913893.
- Binary_entropy_function sameAs Q4913893.
- Binary_entropy_function wasDerivedFrom Binary_entropy_function?oldid=573192446.
- Binary_entropy_function depiction Binary_entropy_plot.svg.
- Binary_entropy_function isPrimaryTopicOf Binary_entropy_function.
