There is a class of quadratic number fields for which it is possible to find an explicit continued fraction expansion of a generator and hence an explicit formula for the fundamental unit. One therewith displays a family of quadratic fields with relatively large regulator. The formula for the ...
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be a quadratic function field defined via an equation C : Y 2 = F(X) (1) where F(X) = X 5 + f 4 X 4 + f 3 X 3 + f 2 X 2 + f 1 X + f 0 ∈ F q [X] is a monic and square-free polynomial of degree 5. The curve C/F ...
ELEMENTS All of the element formulations in Autodesk Explicit are lower order, reduced integration elements (i.e. there are no quadratic isoparametric elements). All of the elements use the Uniform Gradient formulation developed by Flanagan and Belytschko [1], [2]. 7.1 Plane Stress/Strain ...
1)explicit recursion formula显式递推公式 2)Recurrence formula递推公式 1.The recurrence formula for beam transform in bending was deduced.推导了求梁的变形的递推公式并对其应用方法做了说明。 2.This paper put forward a recurrence formula through calculation and synthesis,based an harmonic series theory...
An explicit formula for the Siegel series of a quadratic form over a non-archimedean local fielddoi:10.1515/crelle-2021-0061LetFbe a non-archimedean local field of characteristic 0, and{{\\mathfrak{o}}}the ring of integers inF. We give an explicit formula for the Siegel series of a half...
T. H. Yang, An explicit formula for local densities of quadratic forms, J. Number Theory 72 (1998), 309 356.T. H. Yang.An explicit formula for local densities of quadratic forms. Journal of Number Theory . 1998Tonghai Yang. An Explicit Formula For Local Densities of Quadratic Forms. J...
Muroran Institute of Technology, 27-1 Mizumoto, Muroran, 050-8585, JapanDe GruyterJournal für die reine und angewandte Mathematik (Crelles Journal)T. Ikeda and H. Katsurada, An explicit formula for the Siegel series of a quadratic form over a non-archimedean local field, preprint...
In [ 4 ], Haran, using Riesz potentials, presents a version of the classical explicit formula for the Riemann zeta function that treats all places equally. In this article, we extend Haran's results to the case of an imaginary quadratic extension of \\mathbb{Q} \\mathbb{Q} . To this ...
We propose an explicit and effective method for G1-constrained degree reduction and C1G2-constrained degree reduction. Our main idea is to express the distance function defined in the L2-norm as a strictly convex quadratic function of two variables, which becomes a quadratic optimization problem....