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.
Anywhere from forty to sixty percent of people learning to manage addiction will relapse at some point, according to the National Institute on Drug Abuse. Learning what steps to take to help your loved one is the first thing that you can do to promote a healthy recovery after relapse.