Considerations associated with inversion of hi-static reverberation and scattering data from a three dimensional space are discussed. The Scattering and Reverberation from the Bottom (SCARAB) acoustic propagation and scattering model has been the kernel for the study. This model considers three dimensional, non-plme wave, range independent acoustic signals in botb mono and hi-static source rece...

In this paper it is found that the spin four-tensor S can be decomposed into two 4-vectors, the usual “space-space” intrinsic angular momentum S and a new one, the “time-space” intrinsic angular momentum Z, which are both equally well physical quantities. It is shown that an electric dipole moment (EDM) of a fundamental particle, as a four-dimensional geometric quantity, is determined by Z and ...

We give an O∗(2k)-time algorithm for STEINER TREE using polynomial space, where k is the number of terminals. To obtain this result, we apply Möbius inversion, also known as Inclusion-Exclusion, to the famous Dreyfus-Wagner recurrence. Among our results are also polynomial-space O∗(2n) algorithms for several NP-complete spanning tree and partition problems. With these results, we solve open pro...

It is important to precisely know the whole time history of various types of fault slip events to understand the physics of earthquake generation. We develop a new time dependent inversion method for imaging transient fault slips from geodetic data. Past studies employed a linear Gaussian state space model and applied Kalman filter. The Kalman filter based methods, however, do not allow any var...

A solution of the sourceless Einstein's equation with infinite values for the cosmological constant Λ and for the speed of light c is discussed by using Inönü–Wigner contractions of the de Sitter groups and spaces. When Λ → ∞, spacetime becomes a four–dimensional cone, dual to Minkowski space by a spacetime inversion. This inversion relates the four–cone vertex to the infinity of Minkowski spac...

[1] The Global Positioning System (GPS) system now makes it possible to monitor deformation of the Earth’s surface along plate boundaries with unprecedented accuracy. In theory, the spatiotemporal evolution of slip on the plate boundary at depth, associated with either seismic or aseismic slip, can be inferred from these measurements through some inversion procedure based on the theory of dislo...

In this paper we describe a new approach to shar p boundary geophy sical inversion. We demon strate that regularized inversion with a minimum support stabilizer can be implemented by using a specially designed nonl inear parametrization of the mode l parameters . Thi s parametrization plays the same role as transformation into the space of the weighted model parameters, introd uced in the origi...

We revise the widely accepted belief that linear optical interactions obey time reversality. We have come to the conclusion that the analysis of light– matter interaction should be based on the validity of relativistic reversality, i.e., PT invariance (where T and P are time and space inversion operators), rather than on simple T invariance. Examples of the violation of microscopic reversality ...

Here in, an application of a new seismic inversion algorithm in one of Iran’s oilfields is described. Stochastic (geostatistical) seismic inversion, as a complementary method to deterministic inversion, is perceived as contribution combination of geostatistics and seismic inversion algorithm. This method integrates information from different data sources with different scales, as prior informat...