logarithm function
1Logarithm — The graph of the logarithm to base 2 crosses the x axis (horizontal axis) at 1 and passes through the points with coordinates (2, 1), (4, 2), and (8, 3) …
2Logarithm of a matrix — In mathematics, a logarithm of a matrix is another matrix such that the matrix exponential of the latter matrix equals the original matrix. It is thus a generalization of the scalar logarithm and in some sense an inverse function of the matrix… …
3Natural logarithm — Base e redirects here. For the numbering system which uses e as its base, see Non integer representation#Base e. Graph of the natural logarithm function. The function slowly grows to positive infinity as x increases and rapidly goes to negative… …
4Complex logarithm — A single branch of the complex logarithm. The hue of the color is used to show the arg (polar coordinate angle) of the complex logarithm. The saturation (intensity) of the color is used to show the modulus of the complex logarithm. The page with… …
5Indefinite logarithm — The indefinite logarithm of a positive number n (variously denoted [log n] , mathrm{Log}(n) or even sometimes just log n) is the logarithm without regard to any particular base: it is a function (of the base), not a number . This is as opposed to …
6Partial function — Not to be confused with partial function of a multilinear map. An example of a partial function that is not a total function …
7Iterated logarithm — In computer science, the iterated logarithm of n , written log* n (usually read log star ), is the number of times the logarithm function must be iteratively applied before the result is less than or equal to 1. The simplest formal definition is… …
8p-adic exponential function — In mathematics, particularly p adic analysis, the p adic exponential function is a p adic analogue of the usual exponential function on the complex numbers. As in the complex case, it has an inverse function named the p adic logarithm. Contents 1 …
9Binary logarithm — NOTOC In mathematics, the binary logarithm (log2 n ) is the logarithm for base 2. It is the inverse function of n mapsto 2^n. The binary logarithm is often used in computer science and information theory (where it is frequently written lg n , or… …
10Ultra exponential function — Articleissues OR=January 2008 other=This article uses nonstandard notations, which are confusing and superfluous.In mathematics the ultra exponential function is a special case of the iterated exponential function more commonly known as tetration …
