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Generalized word type pattern for nonregular factorial designs with multiple groups of factors
type pattern Generalized word
2015/3/18
Consideran(sr )sn factorialdesignD= [D0,DT]inst runs,involvingone
sr -levelfactor (r≥2),groupedbytheLrs-levelfactors,andns-level
factors.
Ramanujan type congruences for modular forms of several variables
Congruences for modular forms Cusp forms Number Theory
2012/4/17
We give congruences between the Eisenstein series and a cusp form in the cases of Siegel modular forms and Hermitian modular forms. We should emphasize that there is a relation between the existence o...
A homology plane of general type can have at most a cyclic quotient singularity
Homology plane of general type BMY inequality Zariski-Fujita decomposition
2011/2/22
We show that a homology plane of general type has at worst a single cyclic quotient singular point. An example of such a surface with a singular point does exist [MS, Theorem 3.1]. We
also show that ...
An inverse problem of Calderon type with partial data
inverse problem of Calderon type partial data
2011/2/24
A generalized variant of the Calder´on problem from electrical impedance tomography with partial data for anisotropic Lipschitz conductivities is considered in an arbitrary space dimension n 2...
Graded limits of minimal affinizations and Beyond: the multiplicty free case for type E6
Graded limits of minimal affinizations Beyond multiplicty free case for type E6
2011/1/21
We obtain a graded character formula for certain graded modules for the current algebra over a simple Lie algebra of type E6. For certain values of their highest weight, these modules were conjectured...
Elliptic systems with measurable coefficients of the type of Lamé system in three dimensions
Elliptic systems measurable coefficients
2010/11/22
We study the $3 \times 3$ elliptic systems $\nabla (a(x) \nabla\times u)-\nabla (b(x) \nabla \cdot u)=f$, where the coefficients $a(x)$ and $b(x)$ are positive scalar functions that are measurable an...
A probabilistic algorithm approximating solutions of a singular PDE of porous media type
A probabilistic algorithm approximating solutions singular PDE
2010/11/19
The object of this paper is a one-dimensional generalized porous media equation (PDE) with possibly discontinuous coefficient $\beta$, which is well-posed as an evolution problem in $L^1(\mathbb{R})$...
Gaussian concentration of the q-characters of the Hecke algebras of type A
Gaussian concentration q-characters of the Hecke algebras type A
2010/12/9
We show that with respect to the q-Plancherel measure on partitions of size n, the irreducible
characters of an Hecke algebra Hq(Sn) are concentrated around the normalized trace of Hq(Sn). More preci...
A Reverse Hardy-Hilbert-Type Integral Inequality
Hardy-Hilbert-type integral inequality weight function $beta$ function Holder's inequality
2010/1/25
By estimating a weight function, a reverse Hardy-Hilbert-type integral inequality with a best constant factor is obtained. As an application, some equivalent forms and some particular results have be...