The interior structure of the Moon is constrained by its mass, moment of inertia, and k2 and h2 tidal Love numbers. We infer the likely radius, density, and (elastic limit) rigidity of all interior layers by solving the inverse problem using these observational constraints assuming spherical symmetry. Our results do not favor the presence of a low rigidity transition layer between a liquid oute...

Let y ≡ y(2d) = {yi}i∈Zn+ ,|i|62d denote a real n-dimensional multisequence of degree 2d, y0 > 0. Let Ly : R2d[x1, . . . , xn] 7→ R denote the Riesz functional, defined by Ly(∑|i|62d aix i) = ∑ aiyi, and let Md(y) denote the corresponding moment matrix. Positivity of Ly plays a significant role in the Truncated Moment Problem and in the Polynomial Optimization Problem, but concrete conditions f...

The universal method for testing linearity against smooth transition autoregressive (STAR) alternatives is the linearization of the STAR model around the null nuisance parameter value, and performing F-tests on polynomial regressions in the spirit of the RESET test. Polynomial regressors, however, are poor proxies for the nonlinearity associated with STAR processes, and are not consistent (asym...

The (SrTiO3)m/(SrVO3)n d 0 − d multilayer system is studied with first principles methods through the observed insulator-to-metal transition with increasing thickness of the SrVO3 layer. When correlation effects with reasonable magnitude are included, crystal field splittings from the structural relaxations together with spin-orbit coupling (SOC) determines the behavior of the electronic and ma...

Using recoilless Mossbauer spectroscopy methods, we investigate the atomic absorption spectra of the 14.4keV transition in Fe compounds. The natural linewidth of this transition is determined to the correct order of magnitude with χν = .75. Hyperfine energy shifts in iron oxide and iron sulfate are investigated and measured. The ratio of ground and excited state magnetic moment in Fe is found t...

The direct interaction of nuclei with superintense laser fields is studied. We show that present and upcoming high-frequency laser facilities, especially together with a moderate acceleration of the target nuclei to match photon and transition frequency, do allow for resonant laser-nucleus interaction. These direct interactions may be utilized for the model-independent optical measurement of nu...

Scale Effects on Oscillatory Control-Surfeoe Derivatives-By-A. Y/. Moore Aerod.ynsmlcs Division NPL The limited evidence availahle concerning scale effects on Control-surface derivatives suggests a general tendency for in-phase hinge-moment derivatives to increase when Reynolds number increases but to decrease sharply when boundary-layer transition is artificially fixed. Damping (in-quadrature)...

Multivariate data sources with components of different information value seem to appear frequently in practice. Models in which the components change their homogeneity at different times are of significant importance. The fact whether any changes are influential for the whole process is determined not only by the moments of the change, but also depends on which coordinates. This is particularly...

Donor-acceptor interactions such as the one between the Cl(-) base and the N-H sigma* acceptor orbitals encountered in the complexation of Cl(-) counterions to the [Co(en)(3)](3+) transition metal complex, have been shown to cause huge enhancement (between 1 and 2 orders of magnitude) of the VCD intensities of N-H stretching modes. This effect has been fully analyzed, and could be attributed to...

We propose a new concept of abrupt climate change transition and create a novel detection method to identify the transition process. With this method, how the climate system transits from one stable state to another could be verified clearly. By applying this method to the global sea surface temperature data over the past century, several climate change processes are detected, including their s...