Truncated subtraction is also used in the definition of the difference operator.
2.
Where \ Delta is the forward difference operator.
3.
Where is the forward difference operator.
4.
This is clear from the expression of Ax in terms of the finite difference operator \ Delta.
5.
See also Difference operator .-- Lambiam 18 : 47, 16 September 2007 ( UTC)
6.
Where \ delta _ p is the central difference operator for the " p "-coordinate.
7.
The Sobel Feldman operator, while reducing artifacts associated with a pure central differences operator, does not have perfect rotational symmetry.
8.
In can be shown that the following discrete approximation of the two-dimensional Laplacian operator as a convex combination of difference operators
9.
Regarding three-dimensional signals, it is shown that the Laplacian operator can be approximated by the two-parameter family of difference operators
10.
Prefix summation or partial summation form linear operators on the vector spaces of finite or infinite sequences; their inverses are finite difference operators.