When we write vectors as matrices, we tend to write an $n$-dimensional vector vector as $n \times 1$ column matrix. We emphasize that the gradient vector is defined only for scalar-valued functions. For vector valued functions, we will stick with viewing the derivative as a matrix.
Gloomy Addiction Relapse Statistics. Drug and alcohol rehab statistics show that the percentage of people who will relapse after a period recovery ranges from 50% to 90%. This is a frightening statistic and it is often used as justification for those who wish to carry on with their addiction.
Many of the patients who are currently in care have probably been there at least a year or more and are most likely to be long-term care patients. According to the data the average length of stay for current residents is 835 days and for discharged residents is 270 days.But we also know from data from the CMS that the average stay for a Medicare rehabilitation patient is about 23 days.ut in any given year, a large number of acute-care Medicare patients as well as some private-pay and private insurance-pay will cycle through US nursing homes on their way to recovery. For every 100 elderly patients in a nursing home in a given year, 38 will recover or stabilize so they can be discharged.