Diffusion on a low-dimensional free-energy surface is a remarkably successful model for the folding dynamics of small single-domain proteins. Complicating the interpretation of both simulations and experiments is the expectation that the effective diffusion coefficient D will in general depend on the position along the folding coordinate, and this dependence may vary for different coordinates. ...

An optimal Y-U-V transformation based on Karhunen-Loeve transformation for image compression proposed in this paper is considered as a spectral redundancy reduction. The PSNR is gained for optimal Y-U-V in comparison with traditional fixed Y-U-V transformation, because the variances are most separately after K-L transformation and the down sampling is taken on the coordinates with smallest vari...

Using the quadratic transformation and the generating function method we 3 4 R R → perform the Fourier transformation of the wave function of coordinates of hydrogen atom and we find the analytic expression of the wave function in momentum space. We derive the matrix elements between the basis to 4-dimensions and integral representation of the generating functions of Gegenbauer polynomials. We ...

This perspective article elucidates both the importance and implications of relativistic spacetime crystals as well renormalized blended coordinates transformation. It alludes to possible applications in materials science, condensed matter physics quantum gravity.

We pursue the problem of step size determination for tessellating arbitrary degree polynomial and rational Bézier patches, under highly varying modeling and viewing transformations, to within post-viewing size and/or deviation thresholds specified in display coordinates. The technique involves the computation of derivative bounds of surfaces in modeling coordinates, and the mapping of these bou...

The carbon dioxide Raman spectrum is simulated within an algebraic approach based on curvilinear coordinates in a local representation. The two main advantages of the present algebraic approach are a possible connection with configuration space and the correct description of systems with either local or normal mode character. The system Hamiltonian and polarizability tensor are expanded in term...

it has been postulated that the building of the manjil and tarik dams on sefidroud river has led to the body shape variation of capoeta gracilis in up- and downstream populations due to the isolation. in this study, geometric morphometric approach was used to explore body shape variations of capoeta gracilis populations in up- and downstream manjil and tarik dams in sefidroud river from south o...

We find the superisometry of the near-horizon superspace, forming the superconformal algebra. We present here the explicit form of the transformation of the bosonic and fermionic coordinates (as well as the compensating Lorentztype transformation) which keeps the geometry invariant. We comment on i) the BPS condition of the branes in adS background and ii) significant simplification of superiso...

There has been recent interest in using video cameras along with computer vision and photogrammetric techniques to aid in the daily positioning of patients for radiation therapy. We describe here a method to calibrate video cameras to the beam coordinate system of a radiation therapy treatment machine. Standard camera calibration relates the threedimensional coordinate system of a calibration p...