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Because log(x) is the sum of the terms of the form log(1 + 2 −k) corresponding to those k for which the factor 1 + 2 −k was included in the product P, log(x) may be computed by simple addition, using a table of log(1 + 2 −k) for all k. Any base may be used for the logarithm table. Applications A nautilus shell displaying a logarithmic spiral
Logarithmic form. In algebraic geometry and the theory of complex manifolds, a logarithmic differential form is a differential form with poles of a certain kind. The concept was introduced by Pierre Deligne. [1] In short, logarithmic differentials have the mildest possible singularities needed in order to give information about an open ...
In science and engineering, a log–log graph or log–log plot is a two-dimensional graph of numerical data that uses logarithmic scales on both the horizontal and vertical axes. Power functions – relationships of the form – appear as straight lines in a log–log graph, with the exponent corresponding to the slope, and the coefficient ...
Google Forms is a survey administration software included as part of the free, web-based Google Docs Editors suite offered by Google. The service also includes Google Docs, Google Sheets, Google Slides, Google Drawings, Google Sites, and Google Keep. Google Forms is only available as a web application. The app allows users to create and edit ...
Modular form. In mathematics, a modular form is a (complex) analytic function on the upper half-plane, , that satisfies: a kind of functional equation with respect to the group action of the modular group, and a growth condition. The theory of modular forms therefore belongs to complex analysis. The main importance of the theory is its ...
Logit. Plot of logit ( x) in the domain of 0 to 1, where the base of the logarithm is e. In statistics, the logit ( / ˈloʊdʒɪt / LOH-jit) function is the quantile function associated with the standard logistic distribution. It has many uses in data analysis and machine learning, especially in data transformations .
Art Fund sponsors the Museum of the Year award (known as the Gulbenkian Prize from 2003 to 2007 and the Art Fund Prize from 2008 to 2012). This is a £100,000 prize awarded annually to the museum or gallery that had the most imaginative, innovative or popular project during the previous year.
A log-linear model is a mathematical model that takes the form of a function whose logarithm equals a linear combination of the parameters of the model, which makes it possible to apply (possibly multivariate) linear regression. That is, it has the general form. in which the fi(X) are quantities that are functions of the variable X, in general ...