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三亚国际数学论坛：From Approximation Theory to Real World Applications
三亚国际数学论坛 Approximation Theory Real World Applications
2017/7/3
Classical approximation theory, including polynomial approximation and splines etc., is a fundamental research area in applied mathematics. Development in approximation theory plays an important role ...
REAL-TIME TIME-FREQUENCY BASED BLIND SOURCE SEPARATION
REAL-TIME TIME-FREQUENCY BLIND SOURCE SEPARATION
2015/9/29
We present a real-time version of the DUET algorithm forthe blind separation of any number of sources using only two mixtures. The method applies when sources are Wdisjoint orthogonal, that is, when t...
REAL-TIME AUDIO SOURCE SEPARATION BY DELAY AND ATTENUATION COMPENSATION IN THE TIME DOMAIN
REAL-TIME AUDIO SOURCE SEPARATION ATTENUATION COMPENSATION TIME DOMAIN
2015/9/29
There is increased interest in using microphone arrays in a variety of audio source separation and consequently speech processing applications. In particular, small arrays of two to four microphones a...
UNITARY SHIMURA CORRESPONDENCES FOR SPLIT REAL GROUPS
UNITARY SHIMURA CORRESPONDENCES SPLIT REAL GROUPS
2015/9/28
UNITARY SHIMURA CORRESPONDENCES FOR SPLIT REAL GROUPS.
A Chevalley involution C of a connected reductive group G satisfies C(h) = h−1 for all h in some Cartan subgroup of G. Furthermore, C takes any semisimple1 element to a conjugate of its inverse....
Algorithms for Representation Theory of Real Reductive Groups
Representation Theory Real Reductive Groups
2015/9/28
The irreducible admissible representations of a real reductive group such as GL(n, R) have been classified by work of Langlands, Knapp, Zuckerman and Vogan. This classification is somewhat involved an...
FORCING AXIOMS AND THE CONTINUUM HYPOTHESIS,PART II:TRANSCENDING ω1-SEQUENCES OF REAL NUMBERS
FORCING AXIOMS CONTINUUM HYPOTHESIS TRANSCENDING ω1-SEQUENCES OF REAL NUMBERS
2015/8/17
The purpose of this article is to prove that the forcing axiom for completely proper forcings is inconsistent with the Continuum Hypothesis. This answers a longstanding problem of Shelah.
Liu et al. have forged new links between control theory and network dynamics by focusing on the structural controllability of networks (Lui et al., Nature:473(7346), 167-173, 2011). Two main results i...
Local and nonlocal pressure Hessian effects in real and synthetic fluid turbulence
pressure Hessian effects real synthetic fluid turbulence
2011/7/7
The Lagrangian dynamics of the velocity gradient tensor A in isotropic and homogeneous turbulence depend on the joint action of the self-streching term and the pressure Hessian. Existing closures for ...
Real harmonizable multifractional stable process and its local properties
Stable process harmonizable process multifractionality
2011/1/17
A real harmonizable multifractional stable process is defined, its H¨older continuity and localizability are proved. The existence of local time is shown and its regularity is established.
The real estate credit risk based on the value model with jump and stochastic interests
Asset model with jump Volatility Default probability
2010/9/21
This paper is to assess the real estate credit risk with the help of the value model with jump and stochastic interests. Using the value obeying a stochastic jump-diffusion process, applying the Ito t...
Grauert's theorem for subanalytic open sets in real analytic manifolds
Grauert's theorem analytic manifolds
2010/11/23
By open neighbourhood of an open subset $\Omega$ of $\mathbb{R}^n$ we mean an open subset $\Omega'$ of $\mathbb{C}^n$ such that $\mathbb{R}^n\cap\Omega'=\Omega.$ A well known result of H. Grauert impl...
Rational cohomology of the real Coxeter toric variety of type A
Rational cohomology the real Coxeter toric
2010/11/22
The toric variety corresponding to the Coxeter fan of type A can also be described as a De Concini-Procesi wonderful model. Using a general result of Rains which relates cohomology of real De Concini-...
Singular open book structures from real mappings
Singular open book structures real mappings
2010/11/12
We prove extensions of Milnor's theorem for germs with nonisolated singularity and use them to find new classes of genuine real analytic mappings $\psi$ with positive dimensional singular locus $\Sin...
An order theoretic and algebraic framework for the extended real numbers is established which includes extensions of the usual difference to expressions involving $-\infty$ and/or $+\infty$, so-calle...