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 In economics, exponential discounting is a specific form of the discount function, used in the analysis of choice over time (with or without uncertainty). Formally, exponential discounting occurs when total utility is given by U \Bigl(\_^ \Bigr ...

, 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, an exponential map is a map from a subset of a tangent space T''p'M'' of a Riemannian manifold (or pseudo-Riemannian manifold) ''M'' to ''M'' itself. The (pseudo) Riemannian metric determines a canonical affine connec ...

, 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 theoretical computer science, the time complexity is the computational complexity that describes the amount of computer time it takes to run an algorithm. Time complexity is commonly estimated by counting the number of elementary operations p ...

, 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 In probability theory, an exponentially modified Gaussian distribution (EMG, also known as exGaussian distribution) describes the sum of independent Normal distribution, normal and Exponential distribution, exponential random variables. An exGau ...

, describes the sum of independent normal and

exponential Exponential may refer to any of several mathematical topics related to exponentiation, including: * Exponential function, also: **Matrix exponential, the matrix analogue to the above *Exponential decay, decrease at a rate proportional to value * Ex ...

random variables **

Exponential family In probability and statistics, an exponential family is a parametric set of probability distributions of a certain form, specified below. This special form is chosen for mathematical convenience, including the enabling of the user to calculate ...

, a parametric set of probability distributions of a certain form **

Exponential smoothing Exponential smoothing or exponential moving average (EMA) is a rule of thumb technique for smoothing time series data using the exponential window function. Whereas in the simple moving average the past observations are weighted equally, exponen ...

, a technique that can be applied to time series data *Exponential type **

Exponential type In complex analysis, a branch of mathematics, a holomorphic function is said to be of exponential type C if its growth is bounded by the exponential function e^ for some real-valued constant C as , z, \to\infty. When a function is bounded in ...

or function type, in type theory **

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 Exponential Technology (originally Renaissance Microsystems) was a vendor of PowerPC microprocessors. The company was founded by George Taylor and Jim Blomgren in 1993. The company's plan was to use BiCMOS technology to produce very fast processors ...

, a vendor of PowerPC microprocessors