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P-Set and Its $(f,\bar f)$ -Heredity
2010P-set (packet set) is a set pair, which consists of interior P-set (interior packet sets) and exterior P-set (exterior packet sets); by employing the concept of P-set and its structure, the f-heredity set of P-set is presented in this article firstly, then the measurement method and the f-heredity theorems of interior P-set are proposed; similarly the ...
Ling Zhang, Xue-fang Ren
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International Journal of Computational Methods, 2017
A new type of smoothed finite element method (S-FEM), F-barES-FEM-T4, is demonstrated in static large deformation elastoplastic cases. F-barES-FEM-T4 combines the edge-based S-FEM (ES-FEM) and the node-based S-FEM (NS-FEM) for 4-node tetrahedral (T4 ...
Y. Onishi
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A new type of smoothed finite element method (S-FEM), F-barES-FEM-T4, is demonstrated in static large deformation elastoplastic cases. F-barES-FEM-T4 combines the edge-based S-FEM (ES-FEM) and the node-based S-FEM (NS-FEM) for 4-node tetrahedral (T4 ...
Y. Onishi
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A Method to Solve Cyclotomic Norm Equations $f * \bar{f}$
2004We present a technique to recover f ∈ ℚ(ζ p ) where ζ p is a primitive p th root of unity for a prime p, given its norm \(g = f * \bar{f}\) in the totally real field \(\mathbb{Q}(\zeta_{p}+\zeta_{p}^{-1})\). The classical method of solving this problem involves finding generators of principal ideals by enumerating the whole class group associated with ...
Nick Howgrave-Graham, Mike Szydlo
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