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.
Too often, those living with a Dual Diagnosis receive treatment for only one of their ailments. It is estimated that of the adults living with co-occurring disorders, 34 percent receive mental health treatment, 2 percent enroll in drug rehab, and 12 percent get the help they need for both disorders.