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.
Some facilities, for example, tout success rates in the 90th percentile, but this can be misleading; there are often very flexible criteria for what defines that kind of success. How such facilities deal with the ever-present topic of relapse, and further rounds of treatment, is left unsaid or not comprehensively addressed. That ambiguity goes a long way, with the Washington Post claiming that despite Americaâs addiction to rehab, it doesnât work for many people.