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In this paper we develop a bubble tree structure for a degenerating class of Riemannian metrics satisfying some global conformal bounds on compact manifolds of dimension 4. Applying the bubble tree st...
Density functional theory (DFT) has become a basic tool for the study of electronic structure of matter, in which the Hohenberg-Kohn theorem plays a fundamental role in the development of DFT. Unfor...
Let I be an ideal sheaf on Pn. In the first part of this paper, we bound the asymptotic regularity of powers of I as ps − 3  regIp  ps + e,where e is a constant and s is the s-invariant of I. ...
Methods of approximation,which interpolate to given values on the boundary of a trian-gle,are presented.These methods have linear weights and are characterized on the basis ofminimizing pseudonorm.Som...

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