The Green's function of the Poisson equation, and its spatial derivatives, lead to a family of wavelets specifically tailored to potential fields. Upward continuation of the field is seen to be identical to these wavelets' scale change operation. The maxima at all heights of the field's horizontal gradients are termed the field's multiscale edges. A multiscale edge's field strength variation an...

The non-linear inverse problem is formulated in a Bayesian framework. The multivariate normal distribution is assumed in both the noise and prior distributions. However, only the structures of the covariance matrices have to be specified, estimation of the variance levels is included in the inversion procedure. The maximum a posteriori approximation is derived, and the final result is a weighte...

We investigate the use of non-linear constraints for geophysical inverse problems, with specific examples applied to source inversion of self-potential data. Typical regularization methods often produce smooth solutions by introducing a quadratic term in the objective function that minimizes the L2 norm of a low-order differential operator applied to the model. In some cases, however, the prope...

Two-dimensional quantum gravity coupled to conformally invariant matter with central charge c > 25 has been proposed as a toy model for quantum gravity in higher dimensions. The associated “Wheeler-Dewitt equation” is non-linear and unstable to forming a condensate of baby universes. This will occur even in the classical c + co limit. Small fluctuations about this background describe the propag...

Background: Nonpuerperal uterine inversion is a rare medical condition that many gynecologists might not be encountered even with one case during their entire medical practice. It refers to the expulsion of uterine corpus from the dilated cervix resulting in uterus being turned inside out. There are two kinds of uterine inversion, puerperal and non-puerperal, which the second condition is less ...

Summary Moho determination is an important issue in studying the Earth’s interior structure. In accordance with isostasy-compensation hypothesis geodesy, it possible to recover regional or global by employing gravimetric data. The non-linear property one of main difficulties solving inverse problem isostasy. To effectively address this issue, we propose improved iterative inversion method that ...

Polyethersulfone (PES)-based anion exchange blend membranes were prepared from quaternized-PES (Q-PES) and N-Methyl-2-pyrrolidone (NMP) casting solutions with water as coagulant via non-solvent induced phase inversion. The compatibility of the blend system was investigated through thermodynamic studies while membrane formation was determined using the cloud point techni...

We present a model that resolves the gravity field of Mars down to km-scales: Mars Gravity Model 2011 (MGM2011). MGM2011 uses Newtonian forward-modelling and the MOLA (Mars Orbiter Laser Altimeter) topography model to estimate the short-scale gravity field (scales of ~3 km to ~125 km). Combined with a reference gravity field and the satellitetracking model MRO110B2, MGM2011 provides surface gra...