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Spatial Field

Spatial Field:

A spatial field is a function Math image of spatial variables Math image , or Math image in 3D cases.

A spatial field is named a “scalar field” if the function Math image takes on scalar values. For example, the concentration Math image of a toxic substance in the soil at points with coordinates Math image is a scalar field.

A spatial field is named a “vector field” if the function Math image takes on vector values. For example, the vector of the velocity of wind Math image at points with spatial 3D coordinates Math image is a vector field.

Real measurements are normally made in a discrete set of points. Therefore, interpolation and approximation is often used to obtain a spatial field Math image from a discrete set of measurements Math image performed at a finite set of Math image spatial points Math image .

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