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The log sum inequality can be used to prove inequalities in information theory. Gibbs' inequality states that the Kullback-Leibler divergence is non-negative, and equal to zero precisely if its arguments are equal. [3]
Impeller log:A variation of this approach is known as a patent log, which is towed from the stern of a ship. The patent log includes a mechanical register that counts the log's rotations as it is being towed. The patent log was invented in 1688 by the English instrument maker Humphry Cole. The patent log is also known as a screw log or taffrail ...
Similarly, likelihoods are often transformed to the log scale, and the corresponding log-likelihood can be interpreted as the degree to which an event supports a statistical model. The log probability is widely used in implementations of computations with probability, and is studied as a concept in its own right in some applications of ...
In probability theory, a log-Cauchy distribution is a probability distribution of a random variable whose logarithm is distributed in accordance with a Cauchy distribution.If X is a random variable with a Cauchy distribution, then Y = exp() has a log-Cauchy distribution; likewise, if Y has a log-Cauchy distribution, then X = log(Y) has a Cauchy distribution.
As a consequence, log b (x) diverges to infinity (gets bigger than any given number) if x grows to infinity, provided that b is greater than one. In that case, log b (x) is an increasing function. For b < 1, log b (x) tends to minus infinity instead. When x approaches zero, log b x goes to minus infinity for b > 1 (plus infinity for b < 1 ...
Conversely, single sign-off or single log-out (SLO) is the property whereby a single action of signing out terminates access to multiple software systems. As different applications and resources support different authentication mechanisms, single sign-on must internally store the credentials used for initial authentication and translate them to ...
The United States of America is a federal republic of 50 states, a federal district and 14 territories.It is located mostly in central North America.The U.S. has three land borders, two with Canada and one with Mexico, and has sea borders with Cuba, the Bahamas, the Dominican Republic, Bermuda and Russia, and is otherwise bounded by the Pacific Ocean, the Bering Sea, the Arctic Ocean and the ...
Sonic the Hedgehog 3 [b] is an upcoming action-adventure comedy film based on the video game series published by Sega.It is directed by Jeff Fowler and written by Pat Casey, Josh Miller, and John Whittington, based on a story by Casey and Miller.