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Shifted Riccati Procedure: Application to Conformal Barotropic FRW Cosmologies
factorization shifted Riccati procedure barotropic FRW cosmologies
2011/3/2
In the case of barotropic FRW cosmologies, the Hubble parameter in conformal time is the solution of a simple Riccati equation of constant coefficients. We consider these cosmologies in the framework ...
Geometry of Darboux-Manakov-Zakharov systems and its application
Darboux-Manakov-Zakharov systems Geometry
2010/4/2
The intrinsic geometric properties of generalized Darboux-Manakov-Zakharov systems of semilinear partial differential equations \label{GDMZabstract} \frac{\partial^2 u}{\partial x_i\partial x_j}=f_{ij...
Application of Hilbert's Projective metric on Symmetric Cones
Hilbert's projective metric Symmetric cone
2007/12/11
Let $\Omega$ be a symmetric cone. In this note, we introduce Hilbert's projective metric on $\Omega$ in terms of Jordan algebras and we apply it to prove that, given a linear invertible transformation...
Test of the Possible Application of the Half-Way Bounce-Back Boundary
Condition for Lattice Boltzmann Methods in Complex Geometry
lattice Boltzmann method
2007/8/15
2001Vol.35No.5pp.593-596DOI:
Test of the Possible Application of the Half-Way Bounce-Back Boundary
Condition for Lattice Boltzmann Methods in Complex Geometry
WAN Rong-Zheng and F...
On an Application of the Hardy Classes to the Riemann Zeta-Function
Riemann zeta-function Hardy class Poisson representation
2010/3/1
We show that the function f(z) : = \frac{z}{1-z} z (\frac{1}{1-z}), |z| < 1, belongs to the Hardy class Hp if and only if 0 < p < 1.
Application of Tree-like Structure of Graph to Matrix Analysis
Application Tree-like Structure Matrix Analysis
2010/11/1
Formulas for matrix determinants, algebraic adjunctions, characteristic polynomial coefficients, components of eigenvectors are obtained in the form of signless sums of matrix elements products taking...