1. One Way Permutations with Trapdoor We recall the definition of a one-way functions with trapdoor as introduced in lecture 3. We consider a set of one-way permutations {fi:Di→Di} , i∈I⊆{0,1}* where the Di are finite domains, and I is some index set. example: in RSA scheme the functions are { f (N,e):ZN * →ZN }, where N =p .q for primes p,q and e is relatively prime with φ(N). The functions fi...

This paper deals with the problem of blind separation of sources (BSS). In the literature, one can find many Independent Component Algorithms (ICA) to solve the BSS. To demonstrate the performances of their algorithms, researchers often use different methods or performance indexes depending on their source signals and their applications. Many methods and performance indexes can not be used to c...

This paper seeks to provide an input towards developing the proposal for the research project, “Pathways of Women’s Empowerment” to investigate the determinants of women’s empowerment where and when it occurs. It primarily attempts to give an overview of the trends in research, thinking and programmes in Pakistan from 1975 onwards in the area of women’s empowerment and bodily integrity in order...

Greater fruit and vegetable intake is recommended to prevent cancer generally, but it is unknown if it protects against prostate cancer specifically. A comprehensive review on nutrition, food, and prostate cancer was published in 1997 by the World Cancer Research Fund and the American Institute for Cancer Research titled Food, Nutrition, and the Prevention of Cancer: a Global Perspective (1) (h...

In this article, the meaning of Eight Beatitudes (Mt 5:3–12) has been discussed in context spirituality Congregation Sisters Resurrection. It demonstrated how Resurrection understand evangelical and they carry them out every day. This analysis based on documents (the Rule Constitutions), writings Foundresses, Blessed Mother Celina Borzęcka, Venerable Servant God Jadwiga as well those general su...

First- and third-person experiences of bodily sensations, like pain and touch, recruit overlapping neural networks including sensorimotor, insular, and anterior cingulate cortices. Here we illustrate the peculiar role of these structures in coding the sensory and affective qualities of the observed bodily sensations. Subsequently we show that such neural activity is critically influenced by a r...