Exponential may refer to any of several mathematical topics related to
exponentiation
Exponentiation is a mathematical operation, written as , involving two numbers, the '' base'' and the ''exponent'' or ''power'' , and pronounced as " (raised) to the (power of) ". When is a positive integer, exponentiation corresponds to re ...
, including:
*
Exponential function
The exponential function is a mathematical function denoted by f(x)=\exp(x) or e^x (where the argument is written as an exponent). Unless otherwise specified, the term generally refers to the positive-valued function of a real variable, a ...
, also:
**
Matrix exponential
In mathematics, the matrix exponential is a matrix function on 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 exponential give ...
, the matrix analogue to the above
*
Exponential decay, 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(\_^)=\sum_^\del ...
, a specific form of the discount function, used in the analysis of choice over time
*
Exponential growth
Exponential growth is a process that increases quantity over time. It occurs when the instantaneous rate of change (that is, the derivative) of a quantity with respect to time is proportional to the quantity itself. Described as a function, a q ...
, 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 connect ...
, in Riemannian geometry
*
Exponential map (Lie theory), 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 categorical generalization of a function space in set theory. Categories with all finite products and exponential objects are called cartesian closed c ...
, in category theory
*
Exponential time
In 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 performed by t ...
, in complexity theory
*in probability and statistics:
**
Exponential distribution, 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 and exponential random variables. An exGaussian random variable ''Z'' may be expressed ...
, describes the sum of independent
normal Normal(s) or The Normal(s) may refer to:
Film and television
* ''Normal'' (2003 film), starring Jessica Lange and Tom Wilkinson
* ''Normal'' (2007 film), starring Carrie-Anne Moss, Kevin Zegers, Callum Keith Rennie, and Andrew Airlie
* ''Norma ...
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
*Exp ...
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 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, exponential functions are used to assign expo ...
, 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'C'', ''z'', for some real-valued constant ''C'' as , ''z'', → ∞ ...
or function type, in type theory
**
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'C'', ''z'', for some real-valued constant ''C'' as , ''z'', → ∞ ...
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
* Approximating natural exponents (log base e)
* Artin–Hasse exponential
* Bacterial growth
* Bak ...
Exponential may also refer to:
*
Exponential Technology
Exponential Technology 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 for the Apple Computer market. Logic ...
, a vendor of PowerPC microprocessors
See also
*
*
Exponent (disambiguation)
{{disambiguation
Mathematics disambiguation pages