A weight function is a mathematical device used when performing a sum, integral, or average to give some elements more "weight" or influence on the result...

have a weight function (i.e., a function which weights each term of the inner product with a value). Explicitly, the inner product of functions u ( x )...

modular form of level Γ {\displaystyle \Gamma } and weight k {\displaystyle k} is a holomorphic function f : H → C {\displaystyle f:{\mathcal {H}}\to \mathbb...

Laguerre polynomials on ( 0 , ∞ ) {\displaystyle (0,\infty )} the weight function is w ( x ) = e − x {\displaystyle w(x)=e^{-x}} . Both physicists and...

refer to: Weight (graph theory) a number associated to an edge or to a vertex of a graph Weight (representation theory), a type of function Weight (strings)...

mentioned above, the weight function gives the most weight to the data points nearest the point of estimation and the least weight to the data points that...

approximation for the function. This polynomial is then integrated exactly. In practice, the integration weights for the value of the function at each node are...

differential equation. The dependent unknown u in the same form as the weight function w appearing in the boundary expression is termed a primary variable...

Human body weight is a person's mass or weight. Strictly speaking, body weight is the measurement of mass without items located on the person. Practically...

processing and statistics, a window function (also known as an apodization function or tapering function) is a mathematical function that is zero-valued outside...

The Hamming weight of a string is the number of symbols that are different from the zero-symbol of the alphabet used. It is thus equivalent to the Hamming...

non-negative function with support on some interval [x1, x2] in the real line (where x1 = −∞ and x2 = ∞ are allowed). Such a W is called a weight function. Then...

numbers) labeling different solutions, the strictly positive function w is called a weight function, and δmn is the Kronecker delta. The integration is taken...

body fat. Using free weights, compared to machines, improves not only strength but muscle function as well, in high-functioning older adults. Competitive...

Weight loss, in the context of medicine, health, or physical fitness, refers to a reduction of the total body mass, by a mean loss of fluid, body fat (adipose...

_{n+1}(x)=\left(x-{d \over dx}\right)\psi _{n}(x).} Since these functions contain the square root of the weight function and have been scaled appropriately, they are orthonormal:...

sets, A and T, together with a weight function C : A × T → R. Find a bijection f : A → T such that the cost function: ∑ a ∈ A C ( a , f ( a ) ) {\displaystyle...

polynomials (for which the interval of orthogonality is [−1, 1] and the weight function is simply 1): P 0 ( x ) = 1 , P 1 ( x ) = x , P 2 ( x ) = 3 x 2 − 1...

device used to measure weight or mass. These are also known as mass scales, weight scales, mass balances, massometers, and weight balances. The traditional...

gradients and activation function saturation. Note that even though this article is titled "weight initialization", both weights and biases are used in...

orthogonal polynomials on the interval [−1,1] with respect to the weight function (1 − x2)α–1/2. They generalize Legendre polynomials and Chebyshev polynomials...

x' by looking at the "neighborhood" of the point, formalized by a weight function W: y ^ = ∑ i = 1 n W ( x i , x ′ ) y i . {\displaystyle {\hat {y}}=\sum...

expressed in a slightly more general way by introducing a positive weight function ω into the integrand, and allowing an interval other than [−1, 1]....

is a discrete calculus for functions whose domain is the vertex set of a graph with a finite number of vertices and weights associated to the edges. This...

does not include the extra computing time required to compute the weight function. Hence, some people evaluate the net run-time improvement by various...

weight function L: W → ⁠1/2⁠Z may be permitted as well. For technical reasons it is also often convenient only to consider positive weight functions....

the weighted Hilbert space of functions f square-integrable with respect to the normal distribution as the weight function on R3: 1 ( 2 π ) 3 / 2 ∫ R 3...

weight function w : S → ℜ . {\displaystyle w:S\to \Re .} Proposition. A greedy algorithm is optimal for every R-compatible linear objective function over...

with a weight function w : P × P → R and a distance function d : L × L → R. Find the bijection f : P → L ("assignment") such that the cost function: ∑ a...

Vehicle weight is a measurement of wheeled motor vehicles; either an actual measured weight of the vehicle under defined conditions or a gross weight rating...