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IEVref:102-05-19ID:
Language:enStatus: backup
Term: gradient
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Definition: vector grad f associated at each point of a given space region with a scalar f, having a direction normal to the surface on which the scalar field has a constant value, in the sense of increasing value of f, and a magnitude equal to the absolute value of the derivative of f with respect to distance in this normal direction

NOTE 1 The gradient expresses the variation of the scalar field quantity from the given point to a point at an infinitesimal distance ds in the direction of a given unit vector e by the scalar product df = grad fe ds.

NOTE 2 In orthonormal Cartesian coordinates, the three coordinates of the gradient are:

fx,fy,fz.

NOTE 3 The gradient of the scalar field f is denoted grad f or f.


Publication date:2007-08
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