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The method of moving planes and moving quadrics expresses the implicit equation of a rational parametric surface as a compact determinant. Efficient computation of the moving planes and moving quadric...
We consider a joint production-service planning problem with demand uncertainty, where the manufacturer aims to determine the portfolio of products with the associated service levels and the capacity ...
Provability in product logic     Provability  product logic       font style='font-size:12px;'> 2015/9/30
We sharpen H丩ajek乫s Completeness Theorem for theories extending predicate product logic, 儺佂. By relating provability in this system to embedding properties of ordered abelian groups we construct a ...
Scrambled geometric net integration over general product spaces     Discrepancy  Multiresolution  Rendering  Scrambled net       font style='font-size:12px;'> 2015/8/21
Quasi-Monte Carlo (QMC) sampling has been developed for integration over [0;1]s where it has superior accuracy to Monte Carlo (MC) for integrands of bounded variation.
An ellipsoidal approximation to the Hadamard product of ellipsoids     Computational efficiency  ellipsoid  signal       font style='font-size:12px;'> 2015/8/11
This paper introduces a computationally efficient outer approximation to the Hadamard, i.e., element-wise, product of two ellipsoids. This element-wise product corresponds to multiplicative uncertaint...
Orthogonal Arrays Obtained By Generalized Kronecker Product.
in this paper, we propose a new general approach to construct asymmetrical orthogonal arrays, namely generalized Kronecker product. The operation is not usual Kronecker product in the theory of matri...
Some invariant tensors in two Naveira classes of Riemannian product manifolds are considered. These tensors are related with natural connections, i.e. linear connections preserving the Riemannian metr...
Let G=SU(2) and let \Omega G denote the space of continuous based loops in G, equipped with the pointwise conjugation action of G. It is a classical fact in topology that the ordinary cohomology H^*(\...
We study Farber's topological complexity (TC) of Davis' projective product spaces (PPS's). We show that, in many non-trivial instances, the TC of PPS's coming from at least two sphere factors is (much...
The NLS ground states on product spaces     NLS  stability of solitons  rigidity       font style='font-size:12px;'> 2012/5/24
We study the nature of the Nonlinear Schr\"odinger equation ground states on the product spaces $\R^n\times M^k$, where $M^k$ is a compact Riemannian manifold. We prove that for small $L^2$ masses the...
Prime number with the product inequality     Number theory  prime number  inequality       font style='font-size:12px;'> 2015/6/3
Positive integer n is between two adjacent prime numbers square, the well-established number of product even distribution of the formula (S) andformula (L), According to the prime number theorem, Mert...
In this paper, we improve a recent result by Li and Peng on products of functions in $H_L^1(\bR^d)$ and $BMO_L(\bR^d)$, where $L=-\Delta+V$ is a Schr\"odinger operator with $V$ satisfying an appropria...
A set $S$ of vertices of a graph $G$ is a dominating set in $G$ if every vertex outside of $S$ is adjacent to at least one vertex belonging to $S$. A domination parameter of $G$ is related to those se...
We consider a natural extension of the Petersson scalar product to the entire space of modular forms of integral weight $k\ge 2$ for a finite index subgroup of the modular group. We show that Hecke op...

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