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norm
This word carries a sense of invisible pressure, describing the unspoken expectations that govern how people behave to fit into a collective. It is often used in sociological or psychological contexts to describe the baseline of "normalcy" against which deviations are measured. In technical or mathematical settings, it shifts from a social expectation to a precise measurement of length or magnitude. In these cases, it loses its judgmental or social connotation and becomes a tool for calculating distance in a vector space.
Countable when referring to a specific rule of behavior, such as a cultural norm. Uncountable when referring to the general state of being standard or the average level of something.