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The Quantum Hydrodynamics system in two space dimensions
The Quantum Hydrodynamics system dimensions
2010/11/23
In this paper we study global existence of weak solutions for the Quantum Hydrodynamics System in 2-D in the space of energy. We do not require any additional regularity and/or smallness assumptions ...
Faithful actions of automorphisms on the space of orderings of a group
the space of orderings of a group math
2010/11/18
We study the space of left-- and bi--invariant orderings on a torsion--free nilpotent group $G$. We will show that generally the set of such orderings is equipped with a faithful action of the automo...
Group-Decodable Space-Time Block Codes with Code Rate > 1
Group-Decodable Space-Time Block Codes math
2010/11/19
High-rate space-time block codes (STBC with code rate > 1) in multi-input multi-output (MIMO) systems are able to provide both spatial multiplexing gain and diversity gain, but have high maximum like...
Average Sum-Rate of Distributed Alamouti Space--Time Scheme in Two-Way Amplify-and-Forward Relay Networks
Average Sum-Rate Distributed Alamouti Space--Time Scheme Amplify-and-Forward Relay Networks
2010/11/11
In this paper, we propose a distributed Alamouti space-time code (DASTC) for two-way relay networks employing a single amplify-and-forward (AF) relay. We first derive closed-form expressions for the ...
For a Heegaard surface F in a closed orientable 3-manifold M, H(M,F) = Diff(M)/Diff(M,F) is the space of Heegaard surfaces equivalent to the Heegaard splitting (M,F). Its path components are the isot...
Deciding the dimension of effective dimension reduction space for functional and high-dimensional data
effective dimension reduction space high-dimensional data
2010/11/18
In this paper, we consider regression models with a Hilbert-space-valued predictor and a scalar response, where the response depends on the predictor only through a finite number of projections. The ...
Orbit types of the compact Lie group E_7 in the complex Freudenthal vector space P^C
Lie group E_7 Freudenthal vector space P^C
2010/11/9
Let J be the exceptional Jordan algebra over R and J^C its complexification. Then the simply connected compact exceptional Lie group F_4 acts on J and F_4 has three orbit types which are F_4/F_4, F_4...
Adaptive Algorithms for Coverage Control and Space Partitioning in Mobile Robotic Networks
Adaptive Algorithms Coverage Control and Space Partitioning
2010/11/9
We consider deployment problems where a mobile robotic network must optimize its configuration in a distributed way in order to minimize a steady-state cost function that depends on the spatial distr...
Construction of New Delay-Tolerant Space-Time Codes
Construction New Delay-Tolerant Space-Time Codes
2010/11/9
Perfect Space-Time Codes (STC) are optimal codes in their original construction for Multiple Input Multiple Output (MIMO) systems. Based on Cyclic Division Algebras (CDA), they are full-rate, full-di...
Balanced Reduction of Nonlinear Control Systems in Reproducing Kernel Hilbert Space
Nonlinear Control Systems Kernel Hilbert Space
2010/11/19
We introduce a novel data-driven order reduction method for nonlinear control systems, drawing on recent progress in machine learning and statistical dimensionality reduction. The method rests on the ...
On Fixed-point theorems in Intuitionistic Fuzzy metric Space
Fixed-point theorems metric Space
2010/11/12
In this paper, first we have established two sets of sufficient conditions for a mapping to have unique fixed point in a intuitionistic fuzzy metric space and then we have redefined the contraction ma...
Lattice parameters from direct-space images at two tilts
Lattice parameters direct-space images
2010/11/2
Lattices in three dimensions are oft studied from the ``reciprocal space'' perspective of diffraction. Today, the full lattice of a crystal can often be inferred from direct-space information about t...