Truncated subtraction is also used in the definition of the difference operator.
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Where \ Delta is the forward difference operator.
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Where is the forward difference operator.
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This is clear from the expression of Ax in terms of the finite difference operator \ Delta.
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See also Difference operator .-- Lambiam 18 : 47, 16 September 2007 ( UTC)
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Where \ delta _ p is the central difference operator for the " p "-coordinate.
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The Sobel Feldman operator, while reducing artifacts associated with a pure central differences operator, does not have perfect rotational symmetry.
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In can be shown that the following discrete approximation of the two-dimensional Laplacian operator as a convex combination of difference operators
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Regarding three-dimensional signals, it is shown that the Laplacian operator can be approximated by the two-parameter family of difference operators
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Prefix summation or partial summation form linear operators on the vector spaces of finite or infinite sequences; their inverses are finite difference operators.
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