If two symmetric convex bodies K and L both have nicely bounded sections, then the intersection of random rotations of K and L is also nicely bounded. For L being a subspace, this main result immediately yields the unexpected “existence vs. prevalence” phenomenon: If K has one nicely bounded section, then most sections of K are nicely bounded. The main result represents a new connection between...

Viscous closings have been presented at ISMM'02 as an e cient tool for regularizing the watershed lines in gray-scale images. We consider now the problem of reconnecting several edge portions of a same object. In the binary case, this is very nicely solved via the computation of the distance function to the grains: the downstream of the saddle points reconnects the grains, and is known as the p...

Canberra, ACT, 0200, Australia http://www.hutter1.net/ Summary • If prediction is the goal, but full Bayes not feasible, one should Identify (estimate/test/select) the Hypothesis (parameter/model/ interval) that Predicts best (PHI). •What best is can depend on benchmark (Loss, Lõss), distance function (d), how long we use the model (m), compared to how much data we have at hand (n). •The new pr...

On a W∗-algebra M , for given two positive linear forms ν, % ∈ M∗ + and algebra elements a, b ∈ M , a variational expression for the Bures distance dB(ν, %b) between the inner derived positive linear forms νa = ν(a∗ · a) and %b = %(b∗ · b) is obtained. Along with the proof of the formula, also an earlier result of S. Gudder on noncommutative probability will be slighly extended. Also, the given...

A bstract It has been argued that orientifold vacua with fluxes in type IIA string theory can achieve moduli stabilisation and arbitrary decoupling between the AdS KK scales upon sending certain unconstrained RR-flux quanta to infinity. In this paper, we find a novel scalar field open-string sector allows us interpolate such differ flux limit of large is nicely consistent distance conjecture. T...

ÐIn this paper, a line-feature-based approach for model based recognition using a four-dimensional Hausdorff distance is proposed. This new approach reduces the problem of finding the rotation, scaling, and translation transformations between a model and an image to the problem of finding a single translation minimizing the Hausdorff distance between two sets of points in a fourdimensional spac...

the fivefold elements of elegy which has come from classical arabic criticism has special place in hoboubi,s poem.hoboubi, like his other contemporaries, insisted on using these elements and applied their rules and regulations on the basis of the former critics,s ideas in his poem well and nicely. he believed that the elements of the ancient poem are valuable heritage in literature which is rem...

In this paper, the scattering of a plane monochromatic electromagnetic wave from a nanowire with circular cross-section in the transverse electric (TE) mode is simulated using the well-known Stratton-Chu surface integral equations. For an ordinary dielectric nanowire the refraction phenomenon is nicely simulated. In the case of a plasmonic nanowire no sign of surface plasmon excitation and prop...