We present three attacks on the Prime Power RSA with modulus N = pq. In the first attack, we consider a public exponent e satisfying an equation ex − φ(N)y = z where φ(N) = pr−1(p − 1)(q − 1). We show that one can factor N if the parameters |x| and |z| satisfy |xz| < N r(r−1) (r+1)2 thereby extending the recent results of Sakar [16]. In the second attack, we consider two public exponents e1 and...

OBJECTIVE To determine the effect of inequalities in income within a state on self rated health status while controlling for individual characteristics such as socioeconomic status. DESIGN Cross sectional multilevel study. Data were collected on income distribution in each of the 50 states in the United States. The Gini coefficient was used to measure statewide inequalities in income. Random ...

conclusions according to our multimodality imaging approach, hypertrophic cardiomyopathy was the most probable diagnosis. case presentation we describe a 73-year-old woman referred to us for consultation because of a giant negative t wave on her electrocardiography. echocardiography revealed diffuse severe hypertrophy associated with hypertrophied anterolateral papillary muscles with a bifid he...

The subject of this thesis is the derivation and study of Bayesian mean eld learning algorithms for feed-forward neural networks and Gaussian processes. In Bayes learning our posterior beliefs { based upon our a priori knowledge and past observations { are expressed as probabilities. Making predictions on new observations requires averaging over this posterior probability distribution. Mean eld...

A new combinatorial characterization of a gray-tone image called Euler Vector is proposed. Euler number of a binary image is a well-known topological feature, which remains invariant under translation, rotation, scaling, and rubber-sheet transformation of the image. Euler vector comprises of a 4-tuple, where each element is an integer representing the Euler number of the partial binary image fo...

Median filters and rank-order filters are generally considered to be more time consuming than, e.g., averaging filters. With the new algorithm presented in this report the opposite turns out to be true. The median (or any other rank-order value) is obtained by examining the bits of the arguments columnwise starting with the most significant bits. Hardware implementations suitable for parallel p...