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.
5. According to the Substance Abuse and Mental Health Services Administration (SAMHSA), heroin addiction treatment success rates for outpatient medication therapy is known to have a 35 percent completion rate. The completion of residential programs is as high as 65 percent.6.AMHSA found that only 2.6 million people out of 23.5 million people actually received treatment for drug addiction (including heroin addiction) at a specialty facility. That accounted for as much as 11.2 percent of the same group.