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.
But we also know from data from the CMS that the average stay for a Medicare rehabilitation patient is about 23 days. 1  Number of nursing homes: 16,100. 2  Number of beds: 1.7 million. 3  Occupancy rate: 86.3 percent. 4  Number of current residents: 1.5 million (88.3% were aged 65 years and older and 45.2% were aged 85 years and older)