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.
Patients enrolled in hospice programs are also less likely to die in the hospital. Utilization of hospice programs has increased over time, and as of 2011, the latest year for which statistics are available, 45 percent of American deaths were under the care of a hospice program [ 19 ].