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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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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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Database-independent molecular formula annotation using Gibbs sampling through ZODIAC
Nature Machine Intelligence, 2020Marcus Ludwig +2 more
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Spinels: Controlled Preparation, Oxygen Reduction/Evolution Reaction Application, and Beyond
Chemical Reviews, 2017Qing Zhao, Zhenhua Yan, Chengcheng Chen
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