In this paper, we analyze the behavior of stochastic approximation schemes with set-valued maps in the absence of a stability guarantee. We prove that after a large number of iterations if the stochastic approximation process enters the domain of attraction of an attracting set it gets locked into the attracting set with high probability. We demonstrate that the above result is an effective ins...

PRESIDENT OBAMA’S INAUGURATION SPEECH DELIGHTED SCIENTISTS WHEN HE STATED, “WE WILL restore science to its rightful place.” But he went on: “What is required of us now is a new era of responsibility.... This is the price and the promise of citizenship.” For scientists, one oftenoverlooked responsibility is explaining their work to people. This is not an unreasonable price for receiving public f...

Cerebral Palsy, T.B., Epilepsy, deafness, and the physical handicaps of school children, are amongst the subjects dealt with; the present position in regard to them is reviewed and the "gaps' pointed out. Prevention rather than treatment is stressed, and how far we have to travel to attain the objective of a really adequate and comprehensive service which makes provision for both these things, ...

one of the thinkers¨ demands for governments is to take due care of the social rights of citizens thus far. no doubt, imam `ali (a.s.), as a muslim ruler, concentrated on maintaining man¨s rights both in theory and in practice. this article refers to the relationship between the right and the duty from imam ali¨s viewpoint, studies the foundations of man¨s rights and duties and discusses imam a...