We compute the number of summands in q-averages of norms needed to approximate an Euclidean norm. It turns out that these numbers depend on the norm involved essentially only through the maximal ratio of the norm and the Euclidean norm. Particular attention is given to the case q = ∞ (in which the average is replaced with the maxima). This is closely connected with the behavior of certain famil...

Regulations are often applied to social members in a society in order to minimize conflicting behaviors [9]. Such regulations, also known as social norms, define expected behaviors for society members [7] and help ensure that individuals act in socially acceptable behavior. Besides regulating entire societies, social norms are also used to regulate interactions in smaller groups, and are often ...

BACKGROUND Obesity and depression are comorbid more often than chance predicts. However, depression among the obese is more common in settings where obesity is less common. This suggests that body habitus norms and social stigmatization may play a role in the etiology of depression among the obese. METHODS We developed an agent-based social network model to explore mechanisms by which devianc...