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# Stereotype

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Originally a stereotype was an impression taken from a form of movable lead type and used for printing instead of the original type. This was generalized into a metaphor for repeating a set of ideas identically with no changes (as would have been possible in a form of movable type).

In modern usage, the metaphorical meaning predominates. The term is generally used to describe an oversimplified mental picture of some group of pepole who are sharing a certain characteristic (or stereotypical) qualities. The term is thus often used in a negative sense, with stereotypes being seen by many as illogical yet deeply held-beliefs that can only be changed through education.

Common stereotypes of the past included a variety of allegations about various racial groups (see: racial stereotype[?] and racial profiling) and predictions of behavior based on social status and wealth (See social stereotype).

In literature and art, stereotypes are clichéd or predictable characters or situations. For example, the stereotypical devil is a red, impish character with horns and a pitchfork.

 Contraction mapping ... M to itself, with the property that there is some real number k < 1 such that, for all x and y in M, $d(f(x),f(y))\leq k\,d(x,y).$ Every ...