Exponential
Encyclopedia
Exponential may refer to any of several mathematical topics related to exponentiation
, including:
Exponential may also refer to:
Exponentiation
Exponentiation is a mathematical operation, written as an, involving two numbers, the base a and the exponent n...
, including:
- Exponential functionExponential functionIn mathematics, the exponential function is the function ex, where e is the number such that the function ex is its own derivative. The exponential function is used to model a relationship in which a constant change in the independent variable gives the same proportional change In mathematics,...
, also:- Matrix exponentialMatrix exponentialIn mathematics, the matrix exponential is a matrix function on square matrices analogous to the ordinary exponential function. Abstractly, the matrix exponential gives the connection between a matrix Lie algebra and the corresponding Lie group....
, the matrix analogue to the above
- Matrix exponential
- Exponential decay, 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 growthExponential growthExponential growth occurs when the growth rate of a mathematical function is proportional to the function's current value...
, where the growth rate of a mathematical function is proportional to the function's current value - Exponential mapExponential mapIn differential geometry, the exponential map is a generalization of the ordinary exponential function of mathematical analysis to all differentiable manifolds with an affine connection....
, in differential geometry - Exponential notation, also known as scientific notation, or standard form
- Exponential objectExponential objectIn mathematics, specifically in category theory, an exponential object is the categorical equivalent of a function space in set theory. Categories with all finite products and exponential objects are called cartesian closed categories...
, in category theory - Exponential time, in complexity theory
- in probability and statistics:
- Exponential distributionExponential distributionIn probability theory and statistics, the exponential distribution is a family of continuous probability distributions. It describes the time between events in a Poisson process, i.e...
, a family of continuous probability distributions - Exponential familyExponential familyIn probability and statistics, an exponential family is an important class of probability distributions sharing a certain form, specified below. This special form is chosen for mathematical convenience, on account of some useful algebraic properties, as well as for generality, as exponential...
, sometimes used in place of "exponential family" - Exponential smoothingExponential smoothingExponential smoothing is a technique that can be applied to time series data, either to produce smoothed data for presentation, or to make forecasts. The time series data themselves are a sequence of observations. The observed phenomenon may be an essentially random process, or it may be an...
, a technique that can be applied to time series data
- Exponential distribution
- Exponential typeFunction typeIn computer science, a function type is the type of a variable or parameter to which a function has or can be assigned or the result type of a higher-order function returning a function....
or function type, in type theory - Topics listed at list of exponential topics
Exponential may also refer to:
- Exponential TechnologyExponential TechnologyExponential 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 used 3-level ECL circuits while RAM structures...
, a vendor of PowerPC microprocessors