In Part II of the Concluding Unscientific Postscript to the Philosophical Fragments, Johannes Climacus writes “Something about Lessing”, an almost obstinately vague and self-contradictory tribute to a thinker whom he greatly admires. In a subsection entitled, “An Expression of Gratitude”, Climacus finds numerous ways not to express his gratitude. Then, in a subsection entitled, “Possible/Actual...

Standard economic models cannot capture the fact that information is often ambiguous, and is interpreted in multiple ways. Using a framework that distinguishes between the language in which statements are made and the interpretation of statements, we show that ambiguity can have important consequences. We show that players can agree to disagree in the presence of ambiguity, even if there is a c...

We develop a new passive image formation method capable of exploiting information about multiple scattering in the environment, as well as statistics of the objects to be imaged, additive noise and clutter, using measurements from a sparse array of receivers that rely on illumination sources of opportunity. The array of receivers can be distributed spatially in an arbitrary fashion with several...

This paper considers synthetic aperture radar and other synthetic aperture imaging systems in which a backscattered wave is measured from a variety of locations. The paper begins with a (linearized) mathematical model, based on the wave equation, that includes the effects of limited bandwidth and the antenna beam pattern. The model includes antennas with poor directionality, such as are needed ...

We present an efficient Bayesian algorithm for identifying the shape of object from noisy far field data. The data is obtained by illuminating with one or more incident waves. Bayes' theorem provides a framework to find posterior distribution parameters that determine scatterer. compute using Markov Chain Monte Carlo (MCMC) method Gibbs sampler. principal novelty this work replace forward far-f...

Objectives The objective of this study was to update an in-depth analysis of the time trend for prostate cancer (PCA) mortality in the population of Tyrol by 5 years, namely to 2008. In Tyrol, prostate-specific antigen (PSA) tests were introduced in 1988/89; more than three-quarters of all men in the age group 45–74 had at least one PSA test in the past decade. Methods We applied the same model...

Based on Stanek’s results [1] we know that in model with integer rate PGV like compression functions no high speed collision resistant compression functions exist. Thus we try to study more general multiple block ciphers based model of compression functions with rational rate, like 6/5. We show a new upper bound of the rate of collision resistant compression functions in this model. 1 Motivatio...

The paper extends our earlier results on spectral theory of the 2-sphere Schrodinger operators H = A + Vwith even zonal potentials to a more difficult odd-potential case. We establish local spectral rigidity for odd zonal potentials and give the explicit solution of the inverse spectral problem. We are interested in the spectral theory of Schrodinger operators H = A + V on the 2-sphere S2 with ...

Robust methods for estimating rates of population change ( k ) are necessary for applied and theoretical goals in conservation and evolutionary biology. Traditionally, k has been calculated from either ratios of population counts (obser ved k or k obs), or population models based on projection matrices (asymptotic k or k asy ,). New markrecapture methods permit calculation of k from markresight...