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A scalar-valued function of the points of a domain in some space, such as the temperature or the density field inside a body.

====Comments====
The scalar fields are the scalars in the algebra of tensor fields, cf. [[Scalar|Scalar]].

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How to Cite This Entry:
Scalar field. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Scalar_field&oldid=12207

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