美国科研出版社期刊
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作者:Hongxi Tong , Xiaoqing Wang
来源:[J].Advances in Pure Mathematics, 2017, Vol.07 (05), pp.325-333Scientific Research Publishing
摘要:In this paper, we construct MDS Euclidean self-dual codes which are ex-tended cyclic duadic codes. And we obtain many new MDS Euclidean self-dual codes. We also construct MDS Hermitian self-dual codes from generalized Reed-Solomon codes and constacyclic codes.
作者:Sisu Li , Wanzhou Ye
来源:[J].Advances in Pure Mathematics, 2017, Vol.07 (01), pp.66-74Scientific Research Publishing
摘要:This paper presents an accurate and efficient algorithm for solving the generalized elastic net regularization problem with smoothed l 0 penalty for recovering sparse vector. Finding the optimal solution to the unconstrained l ...
作者:Thomas Beatty , Timothy Jones
来源:[J].Advances in Pure Mathematics, 2017, Vol.07 (04), pp.299-305Scientific Research Publishing
摘要:This paper summarizes research intended to develop a pedagogically friendlyargument that establishes the fact that (x,ex ) is never a rational point in theplane. A point (x, y)∈R2 is rational if both x and y are rational. Applying amethod based on Hurwi...
作者:Dorin Ghisa
来源:[J].Advances in Pure Mathematics, 2017, Vol.07 (01), pp.1-20Scientific Research Publishing
摘要:We dealt in a series of previous publications with some geometric aspects of the mappings by functions obtained as analytic continuations to the whole complex plane of general Dirichlet series. Pictures illustrating those aspects contain a lot of other information which has ...
作者:Haicheng Ma , Xiaohua Liu
来源:[J].Advances in Pure Mathematics, 2017, Vol.07 (06), pp.345-351Scientific Research Publishing
摘要:Let G be a finite and undirected simple graph on n vertices, A(G) is the adjacency matrix of G , λ12,...,λn are eigenvalues of A(G) , then the energy of G is . In this paper, we determine the energy of graphs obtained from a graph by other ...
作者:Toshiyuki Kohno
来源:[J].Advances in Pure Mathematics, 2017, Vol.07 (02), pp.180-187Scientific Research Publishing
摘要:Several preconditioners are proposed for improving the convergence rate of the iterative method derived from splitting. In this paper, the comparison theorem of preconditioned iterative method for regular splitting is proved. And the convergence and comparison theorem for any pre...
作者:Paul Bracken
来源:[J].Advances in Pure Mathematics, 2017, Vol.07 (01), pp.31-40Scientific Research Publishing
摘要:An important question that arises is which surfaces in three-space admit a mean curvature preserving isometry which is not an isometry of the whole space. This leads to a class of surface known as a Bonnet surface in which the number of noncongruent immersions is two or infinity....
作者:Lin Xia , Xudong Huang , Guanpeng Wang ...
来源:[J].Advances in Pure Mathematics, 2017, Vol.07 (01), pp.21-30Scientific Research Publishing
摘要:The positive-definiteness and sparsity are the most important property of high-dimensional precision matrices. To better achieve those property, this paper uses a sparse lasso penalized D-trace loss under the positive-definiteness constraint to estimate high-dimensional precision...
作者:Eugene Demidenko
来源:[J].Advances in Pure Mathematics, 2017, Vol.07 (02), pp.188-198Scientific Research Publishing
摘要:Symmetric circulant matrices (or shortly symmetric circulants) are a very special class of matrices sometimes arising in problems of discrete periodic convolutions with symmetric kernel. First, we collect major properties of symmetric circulants scattered through the literat...
作者:Paul Bracken
来源:[J].Advances in Pure Mathematics, 2017, Vol.07 (01), pp.41-50Scientific Research Publishing
摘要:Properties of eigenvalues of the p -Laplacian operator on a finite dimensional compact Riemannian manifold are studied for the case in which the metric of the manifold evolves under the Ricci-harmonic map flow. It will be shown that the first nonzero eigenvalue is monotonically n...

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