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.
Of these, about 4 million people also struggled with a co-occurring drug or alcohol dependency. In the span of six years, the percentage of patients in drug rehab seeking help for addiction issues who were also diagnosed with a co-occurring mental health disorder increased from 12 percent to 16 percent. Dual Diagnosis patients are very often functional in the workforce.