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Scalar Field

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scalar field [′skā·lər ′fēld]
(mathematics)
The field consisting of the scalars of a vector space.
A function on a vector space into the scalars of the vector space.
(physics)
A field which is characterized by a function of position and time whose value at each point is a scalar.

Scalar Field 

a region with each of whose points P there is associated a number a(P) called a scalar. Mathematically, a scalar field can be defined in a given region G by specifying a scalar function a(P) of each point P of the region. Examples of scalar fields are the temperature field in a body and a density field. The methods of vector analysis are used to study scalar fields.



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Therefore the readership ranges from graduate students to professionals and the scope is necessarily fairly wide, covering such topics as Lagrangian formalism and the momentum picture, free scalar fields (including neutral scalar fields), arbitrary scalar fields, free spinor fields, free vector fields, and connotation relations for free fields.
The material form of the scalar field f (r, t) [member of] E is [f.
These space penetrating design patterns, in turn, create two scalar fields that collapse into themselves.
 
 
 
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