In mathematics, an exponential field is a field with a further unary operation that is a homomorphism from the field's additive group to its multiplicative group. This generalizes the usual idea of exponentiation on the real numbers, where the base is a chosen positive real number.
In mathematics, an exponentialfield is a field with a further unary operation that is a homomorphism from the field's additive group to its multiplicative...
The exponential function is a mathematical function denoted by f ( x ) = exp ( x ) {\displaystyle f(x)=\exp(x)} or e x {\displaystyle e^{x}} (where...
In probability theory and statistics, the exponential distribution or negative exponential distribution is the probability distribution of the distance...
ordered exponentialfield is an ordered field together with a function which generalises the idea of exponential functions on the ordered field of real...
mathematics, the field T L E {\displaystyle \mathbb {T} ^{LE}} of logarithmic-exponential transseries is a non-Archimedean ordered differential field which extends...
Exponential growth is a process that increases quantity over time at an ever-increasing rate. It occurs when the instantaneous rate of change (that is...
equation Exponential dispersion model Exponential distribution Exponential error Exponential factorial Exponential family ExponentialfieldExponential formula...
mathematics, exponential polynomials are functions on fields, rings, or abelian groups that take the form of polynomials in a variable and an exponential function...
In mathematics, the matrix exponential is a matrix function on square matrices analogous to the ordinary exponential function. It is used to solve systems...
axioms for the real exponentialfield exp satisfies all the Ressayre axioms for the real exponentialfield The surreals with exponential is an elementary...
the worst case) Quantifier elimination on real closed fields takes at least double exponential time, and can be done in this time. L-notation Space complexity...
In probability and statistics, an exponential family is a parametric set of probability distributions of a certain form, specified below. This special...
mathematics, an exponential sum may be a finite Fourier series (i.e. a trigonometric polynomial), or other finite sum formed using the exponential function,...
Lie groups, the exponential map is a map from the Lie algebra g of a Lie group G into G. In case G is a matrix Lie group, the exponential map reduces to...
the weights in the exponential moving average which follows. An exponential moving average (EMA), also known as an exponentially weighted moving average...
combinatorial mathematics, the exponential formula (called the polymer expansion in physics) states that the exponential generating function for structures...
represented with the exponentialfield filled with ones (like infinity values), and some non-zero number in the significand field (to make them distinct...
nc for a constant c is exponential in log n. The running time of the number field sieve is super-polynomial but sub-exponential in the size of the input...
In mathematics, the Carlitz exponential is a characteristic p analogue to the usual exponential function studied in real and complex analysis. It is used...
In mathematics, specifically the field of transcendental number theory, the four exponentials conjecture is a conjecture which, given the right conditions...
control theory, a continuous linear time-invariant system (LTI) is exponentially stable if and only if the system has eigenvalues (i.e., the poles of...
ordered exponential is used in matrix and operator algebras. It is a kind of product integral, or Volterra integral. Let A be an algebra over a field K, and...
formula. Fields like R and C that have homomorphisms from their additive group to their multiplicative group are thus called exponentialfields. The function...
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