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Exponential may refer to any of several mathematical topics related to
exponentiation In mathematics, exponentiation, denoted , is an operation (mathematics), operation involving two numbers: the ''base'', , and the ''exponent'' or ''power'', . When is a positive integer, exponentiation corresponds to repeated multiplication ...
, including: * Exponential function, also: **
Matrix exponential In mathematics, the matrix exponential is a matrix function on square matrix, square matrices analogous to the ordinary exponential function. It is used to solve systems of linear differential equations. In the theory of Lie groups, the matrix exp ...
, the matrix analogue to the above *
Exponential decay A quantity is subject to exponential decay if it decreases at a rate proportional to its current value. Symbolically, this process can be expressed by the following differential equation, where is the quantity and (lambda Lambda (; uppe ...
, decrease at a rate proportional to value * Exponential discounting, a specific form of the discount function, used in the analysis of choice over time *
Exponential growth Exponential growth occurs when a quantity grows as an exponential function of time. The quantity grows at a rate directly proportional to its present size. For example, when it is 3 times as big as it is now, it will be growing 3 times as fast ...
, where the growth rate of a mathematical function is proportional to the function's current value * Exponential map (Riemannian geometry), in Riemannian geometry *
Exponential map (Lie theory) In the theory of Lie groups, the exponential map is a map from the Lie algebra \mathfrak g of a Lie group G to the group, which allows one to recapture the local group structure from the Lie algebra. The existence of the exponential map is one o ...
, in Lie theory * Exponential notation, also known as scientific notation, or standard form *
Exponential object In mathematics, specifically in category theory, an exponential object or map object is the category theory, categorical generalization of a function space in set theory. Category (mathematics), Categories with all Product (category theory), fini ...
, in category theory * Exponential time, in complexity theory *in probability and statistics: **
Exponential distribution In probability theory and statistics, the exponential distribution or negative exponential distribution is the probability distribution of the distance between events in a Poisson point process, i.e., a process in which events occur continuousl ...
, a family of continuous probability distributions ** Exponentially modified Gaussian distribution, describes the sum of independent normal and exponential random variables ** Exponential family, a parametric set of probability distributions of a certain form ** Exponential smoothing, a technique that can be applied to time series data *Exponential type ** Exponential type or function type, in type theory ** Exponential type in complex analysis *Topics listed at
list of exponential topics {{Short description, none This is a list of exponential topics, by Wikipedia page. See also list of logarithm topics. * Accelerating change * Mental calculation, Approximating natural exponents (log base e) * Artin–Hasse exponential Talk:Artin–H ...
Exponential may also refer to: * Exponential Technology, a vendor of PowerPC microprocessors


See also

* * Exponent (disambiguation) {{disambiguation Mathematics disambiguation pages