Chen utilized a cross-regional perspective to view the spatial-temporal diffusion, flow and change of ethnic culture and, on that basis, constructed a larger community.
This new formulation employs a hierarchical/modal basis constructed from a new apex co-ordinate system which retains a generalised tensor product.
The new model is derived using a Galerkin projection of the fully conservative, nonlinear discretized 2-D Euler equations onto the POD basis constructed for each conservative variable.
In [12], under the assumption that the chrominance image is given as a sparse linear combination of the basis constructed from the luminance image, the algorithm achieves a high compression performance using the theory of compressed sensing [13, 14].
High degrees of efficiency are achieved when the representation is projected into a low-dimensional space using a basis constructed by proper orthogonal decomposition of snapshots generated in a training run.
Where s ¯ denotes the mean vector of S i, y re, y im denote the low-dimensional measurements, P re, P im represent the orthonormal transformation basis constructed based on Equation (7), θ i re and θ i im are the sparse coefficients.
The main tools used in this paper are atomic decomposition, the orthonormal wavelet basis constructed recently by Auscher and Hytönen, the discrete Calderón-type reproducing formula, the almost orthogonal estimates, implement various stopping time arguments and the duality of the Hardy spaces with the Carleson measure spaces.
The interests of a metaphysician, according to this view, are predominantly speculative; he wants to reveal hitherto unknown facts about the world and on that basis to construct a theory about the world as a whole.
On this basis, we construct our results.
In this process qualitative research is the necessary basis to construct quantitative indicators.
