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1. Six exponentials theorem: In mathematics, specifically transcendental number theory, the six exponentials theorem is a result that, given the right conditions on the exponents, guarantees the transcendence of at least one of a set of exponentials. If x1, x2, ..., xd are d complex ... (Conditions guaranteeing the transcendence of at least one of a set of exponentials) [100%] 2023-02-07 [Transcendental numbers] [Exponentials]...
2. Four exponentials conjecture: In mathematics, specifically the field of transcendental number theory, the four exponentials conjecture is a conjecture which, given the right conditions on the exponents, would guarantee the transcendence of at least one of four exponentials. The conjecture, along with two ... [100%] 2025-01-03 [Conjectures] [Transcendental numbers]...

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1. Exponential polynomial: In mathematics, exponential polynomials are functions on fields, rings, or abelian groups that take the form of polynomials in a variable and an exponential function. An exponential polynomial generally has both a variable x and some kind of exponential function ... [100%] 2023-02-14 [Polynomials]
2. 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 categories. (Categorical generalization of a function space in set theory) [100%] 2023-12-11 [Objects (category theory)]
3. Exponential growth: Exponential growth (or geometric growth) occurs when the growth rate of a mathematical function is proportional to the function's current value. Such growth is said to follow an exponential law; the simple-exponential growth model is known as the ... [100%] 2023-05-01 [Ordinary differential equations] [Exponentials]...
4. Exponential hierarchy: In computational complexity theory, the exponential hierarchy is a hierarchy of complexity classes that is an exponential time analogue of the polynomial hierarchy. As elsewhere in complexity theory, “exponential” is used in two different meanings (linear exponential bounds 2 c ... [100%] 2023-07-20 [Complexity classes]
5. Exponential hierarchy: In computational complexity theory, the exponential hierarchy is a hierarchy of complexity classes, which is an exponential time analogue of the polynomial hierarchy. As elsewhere in complexity theory, “exponential” is used in two different meanings (linear exponential bounds \displaystyle{ 2 ... [100%] 2022-11-29 [Complexity classes]
6. 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 expectations, covariances using differentiation ... (Family of probability distributions related to the normal distribution) [100%] 2023-12-18 [Exponentials] [Continuous distributions]...
7. Exponential law: A term with a variety of meanings. A process which changes by a fixed factor over a fixed time period: exponential growth or decay. (Mathematics) [100%] 2023-09-09
8. Exponential function: exponent The function $$ y = e ^ {z} \equiv \mathop{\rm exp} z , $$ where $ e $ is the base of the natural logarithm, which is also known as the Napier number. This function is defined for any value of $ z $ (real or complex ... (Mathematics) [100%] 2023-10-17
9. 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, based on some useful algebraic properties, as well as for generality, as ... (Family of probability distributions related to the normal distribution) [100%] 2021-12-22 [Exponentials] [Continuous distributions]...
10. Exponential utility: In economics and finance, exponential utility is a specific form of the utility function, used in some contexts because of its convenience when risk (sometimes referred to as uncertainty) is present, in which case expected utility is maximized. Formally, exponential ... (Finance) [100%] 2023-12-29 [Financial risk modeling] [Utility function types]...
11. Exponential function: Exponential functions are functions of the form , where a is a constant and s is a complex number. They are based on the mathematical operation of exponentiation. [100%] 2023-02-09 [Mathematics]
12. Exponential growth: In mathematics, exponential growth (or geometric growth) occurs when the growth rate of a function is always proportional to the function's current size. Such growth is said to follow an exponential law (but see also Malthusian growth model). [100%] 2023-06-24
13. Exponential law (in topology): The idea for a topology on spaces of functions goes back to the metric $d ( f , g ) = \operatorname { sup } \{ d ( f c , g c ) : c \in C \}$ on functions from a compact space $C$ to a metric space $X$. It ... (Mathematics) [100%] 2023-10-17
14. Exponential distribution: A continuous distribution of a random variable $ X $ defined by the density $$ \tag{1 } p( x) = \left \{ \begin{array}{ll} \lambda e ^ {- \lambda x } , & x \geq 0 , \\ 0 , & x < 0. \\ \end{array} \right. (Mathematics) [100%] 2023-09-16 [Distribution theory]
15. 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 where ct is consumption at time ... (Finance) [100%] 2023-12-19 [Intertemporal economics]
16. Exponential function: The exponential function is one of the most important functions in mathematics. For a variable x, this function is written as exp(x) or e, where e is a mathematical constant, the base of the natural logarithm, which equals approximately ... [100%] 2023-02-04
17. Exponential distribution: The exponential distribution is any member of a class of continuous probability distributions assigning probability to the interval [x, ∞), for x ≥ 0. It is well suited to model lifetimes of things that don't "wear out", among other things. [100%] 2023-06-24
18. Exponential map (Riemannian geometry): In Riemannian geometry, an exponential map is a map from a subset of a tangent space TpM of a Riemannian manifold (or pseudo-Riemannian manifold) M to M itself. The (pseudo) Riemannian metric determines a canonical affine connection, and the ... (Riemannian geometry) [100%] 2023-01-29 [Differential geometry] [Riemannian geometry]...
19. Exponential mechanism (differential privacy): The exponential mechanism is a technique for designing differentially private algorithms. It was developed by Frank McSherry and Kunal Talwar in 2007. (Differential privacy) [100%] 2022-09-10 [Theory of cryptography] [Applied probability]...
20. Exponential backoff: Exponential backoff is an algorithm that uses feedback to multiplicatively decrease the rate of some process, in order to gradually find an acceptable rate. These algorithms find usage in a wide range of systems and processes, with radio networks and ... (Rate-seeking algorithm) [100%] 2023-06-02 [Ethernet] [Network scheduling algorithms]...