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...
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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 )...
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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 (2,557 words) - 14:15, 17 January 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)...
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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...
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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 (4,611 words) - 03:00, 12 April 2024
Laguerre polynomials on ( 0 , ∞ ) {\displaystyle (0,\infty )} the weight function is w ( x ) = e − x {\displaystyle w(x)=e^{-x}} . Both physicists and...
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numbers) labeling different solutions, the strictly positive function w is called a weight function, and δmn is the Kronecker delta. The integration is taken...
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Human body weight is a person's mass or weight. Strictly speaking, body weight is the measurement of weight without items located on the person. Practically...
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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...
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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...
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and their weights. Nontrivial problems can be solved using only a few nodes if the activation function is nonlinear. Modern activation functions include...
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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...
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processing and statistics, a window function (also known as an apodization function or tapering function) is a mathematical function that is zero-valued outside...
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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) - 21:00, 11 July 2023
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...
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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:...
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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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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...
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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...
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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]....
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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 (3,030 words) - 17:34, 2 June 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}}...
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Diving weighting system (redirect from Weight belt)
have two functions; ballast, and trim adjustment. The primary function of diving weights is as ballast, to prevent the diver from floating at times when...
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Average Central tendency Mean Standard deviation Summary statistics Weight function Weighted average cost of capital Weighted geometric mean Weighted harmonic...
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Tare weight /ˈtɛər/, sometimes called unladen weight, is the weight of an empty vehicle or container. By subtracting tare weight from gross weight (laden...
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Legendre polynomials (category Special hypergeometric functions)
polynomials are defined as an orthogonal system with respect to the weight function w ( x ) = 1 {\displaystyle w(x)=1} over the interval [ − 1 , 1 ] {\displaystyle...
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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 (8,354 words) - 00:32, 4 June 2024
In mathematics, a Gaussian function, often simply referred to as a Gaussian, is a function of the base form f ( x ) = exp ( − x 2 ) {\displaystyle f(x)=\exp(-x^{2})}...
30 KB (4,946 words) - 14:08, 5 June 2024
purchase price by type is a close linear function of EW. Maximum takeoff weight Aircraft gross weight Zero-fuel weight R. K. Nangia (November 2006). "Operations...
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