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On Quadrature Formulae Near Gaussian Quadrature
1992In this paper, for product integration on the finite interval [a, b], we consider the class of n-point quadrature formulae Q n of at least algebraic degree 2n – 3. We study a new approach for their characterization using the simple fact that such a quadrature formula is uniquely determined by one node y and its associated weight b. For a given node y ∈
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Minimal Quadrature Formulae as Dual Gauss-Type-Quadratures
1985Minimal quadrature formulae are considered for the Hilbert space \(H_ 2^ R\) consisting of functions which are analytical on the open disc with radius R and centre at the origin; the inner product is the area integral over the disc. In this paper, such formulae are characterized as dual quadrature formulae of Gaussian type by generalizing Markoff's ...
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BUDDY: molecular formula discovery via bottom-up MS/MS interrogation
Nature Methods, 2023Tao Huan
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Pseudo-halide anion engineering for α-FAPbI3 perovskite solar cells
Nature, 2021Jaeki Jeong, Jongdeuk Seo, Haizhou Lu
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On Tchebycheff Quadrature Formulas
1988Let ψ be a bounded nondecreasing function on [a,b] normed by \(\int\limits_a^b {d\psi (x) = 1}\). We say that the distribution dψ admits extended (m, n, dψ) Tchebycheff-quadrature (abbreviated T-q) on [a,b] if there are n nodes zj,n ∈ ℂ, zj,n. real or complex conjugate, such that $$ \int\limits_a^b {f(x)d\psi (x) = \frac{1}{n}\sum\limits_{j = 1}^n {
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Marketing of commercial milk formula: a system to capture parents, communities, science, and policy
Lancet, The, 2023exaly