mathematics, an exponential sum may be a finite Fourier series (i.e. a trigonometric polynomial), or other finite sum formed using the exponential function,...

In probability theory and statistics, the exponential distribution or negative exponential distribution is the probability distribution of the distance...

the multiplicative identity 1, and the exponential of a sum is equal to the product of separate exponentials, ⁠ exp ⁡ ( x + y ) = exp ⁡ x ⋅ exp ⁡ y {\displaystyle...

In probability and statistics, an exponential family is a parametric set of probability distributions of a certain form, specified below. This special...

In mathematics, the exponential integral Ei is a special function on the complex plane. It is defined as one particular definite integral of the ratio...

Exponential smoothing or exponential moving average (EMA) is a rule of thumb technique for smoothing time series data using the exponential window function...

In mathematics, a Kloosterman sum is a particular kind of exponential sum. They are named for the Dutch mathematician Hendrik Kloosterman, who introduced...

classical theory called cyclotomy. Closely related is the Gauss sum, a type of exponential sum which is a linear combination of periods. As the name suggests...

sequence Exponential smoothing Exponential stability Exponential sum Exponential time Sub-exponential time Exponential tree Exponential type Exponentially equivalent...

distributions Exponentially modified Gaussian distribution, describes the sum of independent normal and exponential random variables Exponential family, a...

Look up backoff in Wiktionary, the free dictionary. Exponential backoff is an algorithm that uses feedback to multiplicatively decrease the rate of some...

The exponential of X, denoted by eX or exp(X), is the n × n matrix given by the power series e X = ∑ k = 0 ∞ 1 k ! X k {\displaystyle e^{X}=\sum _{k=0}^{\infty...

the weights in the exponential moving average which follows. An exponential moving average (EMA), also known as an exponentially weighted moving average...

estimates for exponential sums. The method applies two processes, the van der Corput processes A and B which relate the sums into simpler sums which are easier...

exponential, also called the path-ordered exponential, is a mathematical operation defined in non-commutative algebras, equivalent to the exponential...

{\displaystyle C^{\sum \limits _{n=s}^{t}f(n)}=\prod _{n=s}^{t}C^{f(n)}\quad } (the exponential of a sum is the product of the exponential of the summands)...

an exponentially modified Gaussian distribution (EMG, also known as exGaussian distribution) describes the sum of independent normal and exponential random...

The term q-exponential occurs in two contexts. The q-exponential distribution, based on the Tsallis q-exponential is discussed in elsewhere. In combinatorial...

logarithm. The usual exponential function on C is defined by the infinite series exp ⁡ ( z ) = ∑ n = 0 ∞ z n n ! . {\displaystyle \exp(z)=\sum _{n=0}^{\infty...

is exponential in the smaller of the two parameters n and L. The problem is NP-hard even when all input integers are positive (and the target-sum T is...

combinatorial mathematics, the exponential formula (called the polymer expansion in physics) states that the exponential generating function for structures...

quadratic non-residue modulo N. Character sums are often closely linked to exponential sums by the Gauss sums (this is like a finite Mellin transform)...

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...

f (x) is equal to the sum of its Taylor series for all x in the complex plane, it is called entire. The polynomials, exponential function ex, and the trigonometric...

modified the formulation slightly (moving from complex analysis to exponential sums), without changing the broad lines. Hundreds of papers followed, and...

approximately equal to 2.71828 that is the base of the natural logarithm and exponential function. It is sometimes called Euler's number, after the Swiss mathematician...

versatile two-parameter family of continuous probability distributions. The exponential distribution, Erlang distribution, and chi-squared distribution are special...

sum _{i}x_{i}&&=\sum _{i}\tan \theta _{i}\\[6pt]e_{2}&=\sum _{i<j}x_{i}x_{j}&&=\sum _{i<j}\tan \theta _{i}\tan \theta _{j}\\[6pt]e_{3}&=\sum...

complex exponential function with coefficients given by a quadratic character; for a general character, one obtains a more general Gauss sum. These objects...

decay faster than exponential (e.g. sub-Gaussian). It is especially useful for sums of independent random variables, such as sums of Bernoulli random...