搜索结果: 1-5 共查到“数理逻辑与数学基础 uniqueness”相关记录5条 . 查询时间(0.013 秒)
Uniqueness of models in persistent homology: the case of curves
Persistent Betti numbers reflections matching distance
2011/2/28
We consider generic curves in R2, i.e. generic C1 functions f : S1 → R2.We analyze these curves through the persistent homology groups of a filtration induced on S1 by f. In particular, we consider th...
On uniqueness of semi-wavefronts (Diekmann-Kaper theory of a nonlinear convolution equation re-visited)
semi-wavefronts Diekmann-Kaper theory
2010/11/22
Motivated by the uniqueness problem for monostable semi-wavefronts, we propose a revised version of the Diekmann and Kaper theory of a nonlinear convolution equation. Our version of the Diekmann-Kape...
A Uniqueness Theorem for Meromorphic Mappings with Two Families of Hyperplanes
Uniqueness Theorem Meromorphic Mappings Families of Hyperplanes
2010/11/9
In this paper, we extend the uniqueness theorem for meromorphic mappings to the case where the family of hyperplanes depends on the meromorphic mapping and where the meromorphic mappings may be degen...
Uniqueness theorems for inverse obstacle scattering in Lipschitz domains
Uniqueness theorems inverse obstacle scattering in Lipschitz domains
2010/11/1
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...
Local uniqueness for the Dirichlet-to-Neumann map via the two-plane transform
Dirichlet-to-Neumann map via two-plane transform
2010/10/29
We consider the Dirichlet-to-Neumann map associated to the Schr\"odinger equation with a potential in a bounded Lipschitz domain in three or more dimensions. We show that the integral of the potentia...