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In the last decade, there has been a growing interest in the study of rational points on homogeneous spaces of linear algebraic groups defined over fields having good arithmetical properties other tha...
Utilizing approximation algorithm, there has been a large quantity of work on optimization for submodular functions since the 1970s. As a variant, $k$-submodular function appears in many fields to mat...
The phase function and polarized phase function are important optical parameters, which describe scattering properties of atmospheric aerosol particles. Polarization of skylight induced by the scatter...
Resolution and sidelobe are mutual restrict for SAR image. Usually sidelobe suppression is based on resolution reduction. This paper provide a method for resolution enchancement using sidelobe opposit...
We prove that the zero locus of an admissible normal function over an algebraic parameter space S is algebraic in the case where S is a curve.
We show that the zero locus of an admissible normal function on a smooth complex algebraic variety is algebraic.
This is a brief expository article on the problem of determining the Dehn function of SLn(Z). It appeared in a volume that was presented to G.Mislin on his retirement from ETHZ and was then published ...
We exploit duality considerations in the study of singular combinatorial 2-discs ("diagrams") and are led to the following innovations concerning the geometry of the word problem for finite presentati...
Let F be a global function field and let F ab be its maximal abelian extension. Following an approach of D. Hayes, we shall construct a continuous homomorphism ρ: Gal(F ab/F) → CF , where CF is the id...
This paper introduces some notions of e ective dimension for weighted function spaces. A space has low e ective dimension if the smallest ball in it that contains a function of variance 1, has no fu...
Non-parametric function estimation aims to estimate or recover or denoise a function of interest, perhaps a signal, spectrum or image, that is observed in noise and possibly indirectly after some tr...
We consider an optimizing process (or parametric optimization problem), i.e., an optimization problem that depends on some parameters. We present a method for imputing or estimating the objective func...
In light of such an inherent difficulty, any meaningful notion of function privacy must be based on the minimal assumption that, from the adversary's point of view, identities that correspond to...
Two approaches for the efficient rational approximation of the Fermi-Dirac function are discussed: one uses the contour integral representation and conformal mapping, and the other is based on a versi...
This paper presents some new statistical tests and new conjectures regarding the correspondence between the eigenvalues of random unitary matrices and the zeros of Riemann’s zeta function. Global fe...

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