Based on the Cayley, Grothendieck, Knudsen Mumford theory of determinants we extend the CM polarization to the Hilbert scheme. We identify the weight of this refined line bundle with the generalized Futaki invariant of Donaldson. We are able to conclude that CM stability implies K-Stability. An application of the Grothendieck Riemann Roch Theorem shows that this refined sheaf is isomorphic to t...

The objective of this work was to demonstrate the effect of fluoride and propolis extract on the corrosion behavior of commercially pur titanium (cp-Ti grade 2) in artificial saliva. The inhibition studies were approved out on cp-Ti as dental implant in Fusayama-Meyer with the propolis extract using potentiodynamic polarization and Electrochemical Impedance Spectroscopy (EIS). Parameters, such ...

We extend the recently developed formalism to extract light-front quark charge densities from nucleon form factor data to the deformations of these quark charge densities when applying an external electric field. We show that the resulting induced polarizations can be extracted from proton generalized polarizabilities. The available data for the generalized electric polarizability of the proton...

Broadband electromagnetic transparency phenomenon is realized with a well-designed gradedpermittivity sphere, which has an extremely low scattering cross section over a wide frequency range, based on the generalized Mie scattering theory and numerical simulation in full-wave condition. The dynamic polarization cancellation is revealed by studying the variation of the polarization with respect t...

A theory is presented combining effective-medium theory with that of magnetoinductive (MI) waves propagating by virtue of coupling between the resonant elements. The resulting circuit equations for the split-ring resonator (SRR) loaded transmission line are shown to be analogous to those describing a continuous anisotropic magnetic plasma exhibiting spatial dispersion due to interelement coupli...

The problem of the short-range correlations in nuclei is studied in the framework of the unitary-model-operator approach. A unitary-transformed Hamiltonian is introduced and given in a cluster expansion form. A general theory of treating the effects of the three-body cluster teim is proposed. It is emphasized that the one-body average field representing the dispersive effect of medium plays an ...