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日前,根据IOP官方网站发布消息,东南大学数学系刘继军教授课题组2013年发表的两篇学术论文入选Inverse Problems 杂志2013年亮点论文。两篇论文中,课题组成员王丽艳的论文研究了图像处理中基于分数阶导数的新模型和算法,王海兵的论文研究了基于热传导模型的一类介质内部空腔的成像方法,皆具有重要的数学意义和广阔的工程应用前景。
In this work we introduce and study a set of new interleavers based on permutation polynomials and functions with known inverses over a finite field $\mathbb{F}_q$ for using in turbo code structures. ...
It is proved that if the scattering amplitudes at a fixed wavenumber for two obstacles from a certain large class of obstacles differ a little, than the obstacles differ a little. Error estimate is g...
We introduce the concept of inverse power set by adding two axioms to the Zermelo-Fraenkel set theory. This extends the Zermelo-Fraenkel set theory with a new type of set. We present different ways to...
We introduce an iterative method for computing the first eigenpair $\left( \lambda_{p},e_{p}\right) $ for the $p$-Laplacian operator with homogeneous Dirichlet data as the limit of $\left( \mu_{q,}u_...
A result of the author shows that the behavior of Gowers norms on bounded exponent abelian groups is connected to finite nilspaces. Motivated by this, we investigate the structure of finite nilspaces...
In this paper we obtain a Douglas type factor decomposition theorem about certain important bounded module maps. Thus, we come to the discussion of the topological continuity of $bounded \;generalized...
An inverse problem of finding an obstacle and the boundary condition on its surface from the fixed-energy scattering data is studied. A new method is developed for a proof of the uniqueness results. T...
The inverse problem of finding the refraction coefficient of a shallow ocean from the observation of the extra Cauchy data for the acoustic field at the surface of the ocean is studied. Uniqueness the...

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