A mathematical model using classical cake-filtration theory and the surface-renewal concept is formulated for describing cross-flow microfiltration under dynamic and steady-state conditions. The model can predict the permeate flux and cake buildup in the filter. The three basic parameters of the model are the membrane resistance, specific cake resistance and rate of surface renewal. The model i...

We consider quasi-stationary distributions for one-dimensional diffusions via the renewal dynamical approach. show that convergence of iterative transform to is equivalent a condition on moment growth rate lifetime, which at same time necessary existence Yaglom limits.

During a time of budget challenges, the Washington, D.C. government has needed to increase appropriations to the public safety and justice title while reducing appropriations to other municipal services. The need to increase policing costs by $1 million to $469.7 million in fiscal year 2012 diverges from the city’s efforts to improve underserved neighborhoods through urban renewal. Although the...

2. Government has undertaken its own urban renewal projects for many years. The Hong Kong Housing Society (HS) started its Urban Improvement Scheme in 1974. In 1988, the Land Development Corporation (LDC) was established to speed up the process of urban renewal. The Housing Authority (HA) has also played an important role in urban renewal, in particular by redevelopment of its own estates and a...

Normal albino rats were placed on a standardized vitamin A-deficient diet. The rate of rod outer segment renewal and removal was determined at varying levels of vitamin A deficiency by autoradiography. Increasing vitamin A deficiency causes a decreasing rate of photoreceptor outer segment renewal. The removal of rod outer segment material by the pigment epithelium normally takes ten days. The l...

Because they are long-lived and cycle continuously, adult stem cells (ASCs) are predicted as the most common precursor for cancers in adult mammalian tissues. Two unique attributes have been proposed to restrict the carcinogenic potential of ASCs. These are asymmetric self-renewal that limits their number and immortal DNA strand cosegregation that limits their accumulation of mutations due to D...

SIR,—Mr. Macfadyen, in his paper on the above subject, read before the Institute in May last, made special reference to a paper contributed by me to the Journal for October 1874, and did me the honour of coupling my name with that of Mr. Sprague, as an originator of a new way of looking at the expenses of life offices. Mr. Macfadyen takes the view that Mr. Sprague and I contend " that " a certa...

In this paper, we construct fuzzy renewal processes involving fuzzy random variables. We first extend the renewal processes to the fuzzy renewal processes where interarrival times, rewards, and stopping times are all fuzzy random variables. According to these fuzzy renewal processes, we then extend some theorems of renewal processes to those in fuzzy renewal processes. These are elementary rene...