That is, . The term ``logarithm'' can be abbreviated as ``log''. The base is chosen to be a positive real number, and we normally only take logs of positive real numbers (although it is ok to say that the log of 0 is ). The inverse of a logarithm is called an antilogarithm ...
The matrix logarithm To harness the full power of the matrix exponential we need its inverse function, the matrix logarithm function, log. Like the classical log, the matrix log is defined by a power series that converges only in a certain neighborhood of th... J Stillwell - Springer New ...
The Logarithm and Its InverselnExpLogarithm integralsExponential integralsIn this chapter, the logarithm function and its inverse, the exponential function, are defined and developed.doi:10.1007/978-981-287-874-8_9James K. PetersonSpringer Singapore...
log•a•rithm (ˈlɔ gəˌrɪð əm, -ˌrɪθ-, ˈlɒg ə-) n. the exponent of the power to which a base number must be raised to equal a given number; log:2 is the logarithm of 100 to the base 10 (2 = log10100). ...
inverse logarithm [′in‚vərs ′läg·ə‚rith·əm] (mathematics) antilogarithm McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc. Want to thank TFD for its existence?Tell a friend about us, add a link to this pa...
We give an explicit non-linear relationship between two of the most popular measures of node centrality: degree and closeness. Based on a shortest-path tree approximation, we give an analytic derivation that shows the inverse of closeness is linearly dependent on the logarithm of degree. We show...
To check if you're right, when you get to the equation [itex]x=-5^{-y}[/itex], just plug that value of x into your original equation [itex]y=-\log_5(-x)[/itex] and see if you get an equality.FAQ: What is the inverse of this logarithm equation? 1...
Graph the inverse function of an exponential function Determine the equation of the inverse function of an exponential functionIn chapter 3, we discussed that every function has an inverse, but only a one-to-one function has an inverse function. Since an exponential function is a one-to-one ...
where H = X T W ^ X , s ^ is an n-dimensional vector with the ith element s ^ i = log μ ^ i + ( y i − μ ^ i ) μ ^ i , and W ^ = diag [ μ ^ i ] . The MLE follows a normal distribution, with a covariance matrix that is equal to the inverse of the se...
In a recent work [31] it has been established that optimal non-singular coding predicts that the length of linguistic elements should grow approximately as the logarithm of its frequency rank, which is consistent with Zipf’s law of abbreviation and our approach [4], but more work is needed...