The classical condition number is a very rough measure of the effect of perturbations on the inverse of a square matrix. First, it assumes that the perturbation is infinitesimally small. Second, it does not take into account the perturbation structure (e.g., Vandermonde). Similarly, the classical notion of the inverse of a matrix neglects the possibility of large, structured perturbations. We d...

The problem of determining a current density confined to a volume from measurements of the magnetic and electric fields it produces exterior to that volume is known to have nonunique solutions. Despite the nonuniqueness of the inversion we show that one may nevertheless uniquely determine certain moments of the vector spherical harmonic expansion of the current. It is demonstrated that the dete...

We have considerable experience in carrying out refractivity estimation from ocean clutter data [Gerstoft et al., 2003a, 2003b, Gerstoft et al., 2004; Rogers et al., 2004]. Little has been done to indicate the quality of the solution for each parameter, either with the variance of the parameter estimate or preferably the complete a posteriori distribution. We have already done much work on this...

Non-puerperal uterine inversion is a rare condition that occurs as a complication of intrauterine tumors, especially giant submucosal leiomyomas. This condition can cause severe pain and hemorrhage. Management can consist of manual repositioning through the cervical ring, or surgical corrective measures. We report here a case of uterine inversion following the prolapse of a submucosal leiomyoma...

Initial condition inverse problems are ill-posed and computationally expensive to solve. We present a computational approach for solving inverse problems in the realm of onedimensional contaminant transport. The approach employs finite differencing as a forward solver and probabilistic methods for inversion. Markov Chain Monte Carlo sampling is used to efficiently recover posterior probabilitie...

The authors examined whether the visual field-specific endpoint bias of mirror-symmetrical reaching movements (i.e., antipointing) is related to top-down decoupling of the normal spatial relations between target and response (i.e., visuomotor inhibition) or the inversion of target coordinates to a mirror-symmetrical location (i.e., vector inversion). Participants completed pro- and antipointing...

Uterine inversion is a state wherein the endometrial surface is inverted. Although this condition may be observed in nonpregnant women, it most commonly develops at the time of delivery. In the present case, a 37-year-old woman without any remarkable history developed acute puerperal uterine inversion after the successful induction of labor. Following the delivery, she complained twice of sever...