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...
7 KB (1,154 words) - 12:51, 24 October 2024
Local regression (section Weight function)
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...
18 KB (2,525 words) - 11:34, 27 September 2024
Dot product (section Weight function)
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 )...
29 KB (4,476 words) - 10:29, 18 November 2024
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)...
3 KB (353 words) - 03:20, 3 September 2023
Laguerre polynomials on ( 0 , ∞ ) {\displaystyle (0,\infty )} the weight function is w ( x ) = e − x {\displaystyle w(x)=e^{-x}} . Both physicists and...
6 KB (771 words) - 22:44, 1 January 2024
Modular form (redirect from Weight of a modular form)
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...
31 KB (4,547 words) - 07:14, 22 October 2024
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...
24 KB (4,352 words) - 09:29, 18 February 2024
numbers) labeling different solutions, the strictly positive function w is called a weight function, and δmn is the Kronecker delta. The integration is taken...
100 KB (13,587 words) - 08:57, 25 November 2024
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...
49 KB (5,047 words) - 15:35, 28 October 2024
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...
46 KB (2,519 words) - 08:02, 1 November 2024
Weighing scale (redirect from Auncel weight)
device used to measure weight or mass. These are also known as mass scales, weight scales, mass balances, massometers, and weight balances. The traditional...
42 KB (5,291 words) - 18:42, 29 October 2024
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...
4 KB (435 words) - 14:50, 29 May 2024
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...
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Gegenbauer polynomials (redirect from Gegenbauer function)
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...
7 KB (1,339 words) - 14:56, 7 September 2024
dx=K_{n}\delta _{m,n},} where w ( x ) {\displaystyle w(x)} is a suitable weight function, K n {\displaystyle K_{n}} is a constant depending on n {\displaystyle...
5 KB (799 words) - 15:04, 6 April 2024
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...
46 KB (6,483 words) - 22:02, 2 October 2024
processing and statistics, a window function (also known as an apodization function or tapering function) is a mathematical function that is zero-valued outside...
73 KB (8,656 words) - 05:49, 23 November 2024
Hierarchical clustering of networks (section Weights)
arranges the network into a hierarchy of groups according to a specified weight function. The data can then be represented in a tree structure known as a dendrogram...
4 KB (541 words) - 19:56, 12 October 2024
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...
16 KB (2,534 words) - 11:41, 29 July 2024
Hermite polynomials (redirect from Hermite function)
_{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:...
57 KB (10,041 words) - 22:19, 25 November 2024
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...
31 KB (3,033 words) - 10:30, 16 October 2024
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]....
42 KB (6,792 words) - 18:26, 15 October 2024
DALYs. Perinatal conditions, which affect infants with a very low age-weight function, are the leading cause of lost DALYs at 90.48 million. Measles is fifteenth...
25 KB (2,843 words) - 06:12, 2 November 2024
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...
14 KB (2,060 words) - 20:40, 25 October 2024
J-invariant (redirect from Elliptic modular function)
Felix Klein's j-invariant or j function, regarded as a function of a complex variable τ, is a modular function of weight zero for special linear group...
27 KB (4,703 words) - 11:45, 7 August 2024
and their weights. Nontrivial problems can be solved using only a few nodes if the activation function is nonlinear. Modern activation functions include...
24 KB (1,924 words) - 07:28, 22 November 2024
Molar mass distribution (redirect from Weight average molecular weight)
representing the weighted mean taken with the mole fraction, the weight fraction, and two other functions which can be related to measured quantities: Number average...
10 KB (1,391 words) - 12:22, 13 September 2024
Importance sampling (section Variance cost function)
does not include the extra computing time required to compute the weight function. Hence, some people evaluate the net run-time improvement by various...
25 KB (3,810 words) - 13:19, 29 October 2024
Bounded variation (redirect from Function variation)
the weight function is the identity function: therefore an integrable function f {\displaystyle f} is said to be a weighted BV function (of weight φ {\displaystyle...
61 KB (8,429 words) - 15:42, 17 October 2024
cumulative distribution function of the discrete measure on the rational numbers, where a i {\displaystyle a_{i}} is the weight of q i {\displaystyle q_{i}}...
19 KB (2,467 words) - 04:06, 27 August 2024