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A field is a function of the position in space. It can be a function of other variables as well: For example, the Electric field is a function of position and of time, since the charged particles which generate it can be in motion.

Depending on the value of the function it is called a Scalar field (if the function gives a number) or a Vectorial field (if it gives a vector). The aforesaid Electric field is an example of vetorial field, while the Temperature in every point of a room is a scalar field.