The images reconstructed using the anisotropic diffusion prior with anatomical prior show superior quality than those reconstructed by solving a simpler linear problem using Tikhonov regularisation.
By using the theory of anisotropic elasticity and the Maxwell electromagnetism, the torsion stress and the distribution of surface charge densities of a rectangular quartz disc are calculated.
We also establish the global well-posedness of strong solutions for this system, with any initial data (v0,T0)∈H1∩L∞, such that ∂zv0∈Lm, for some m∈(2,∞), by using the logarithmic type anisotropic Sobolev inequality and a logarithmic type Gronwall inequality.
This work is aimed to solve the governing differential equations of a laminated anisotropic plate by using the Chebyshev collocation method.
The equations of motion are derived and analytical solution for the vibration of anisotropic SWCNTs is presented by using the Flügge shell theory and complex method.
The structure solution and parameter refinement (full-matrix least-squares against F) were performed by using the SHELX-97 software suite 38, 39 with anisotropic atomic displacement parameters for the atoms of the main split position.
Then by using the inverse Hölder inequalities, we obtain the regularity of the weak solution in the anisotropic Sobolev space.
The 'autocorrections' option in HKL2000 was selected to truncate and scale the anisotropic data, which was then converted to the mtz format by using the Ctruncate program in CCP4 (Padilla and Yeates, 2003; Winn et al., 2011).
We discuss the existence and uniqueness of weak solution by using the acute angle principle, then study the regularity of solution by using inverse Hölder inequalities in the anisotropic Sobolev Space.
However, we note that, as before, the pressure volume curve is not affected by the residual stress if we use the anisotropic model (data not shown).
