Mathematica's highly optimized filtering capabilities provide a wide range of linear and modern nonlinear local filters, as well as a variety of nonlocal filters, which can ...

Do Basic Calculations Do Constrained Nonlinear Optimization Control the Precision and Accuracy of Numerical Results

Constant is an attribute that indicates zero derivative of a symbol with respect to all parameters.

NDSolve returns solutions as InterpolatingFunction objects. Most of the time, simply using these as functions does what is needed, but occasionally it is useful to access the ...

Hypergeometric2F1Regularized[a, b, c, z] is the regularized hypergeometric function \[Null]_2 F_1 (a, b; c; z)/\[CapitalGamma](c).

CrossingDetect[image] gives a binary image in which white pixels correspond to the zero crossings in image.CrossingDetect[image, delta] treats values in image that are ...

"Gauss–Newton" and "conjugate gradient" methods use derivatives. When Mathematica cannot compute symbolic derivatives, finite differences will be used. Computing derivatives ...

GradientFilter[image, r] gives an image corresponding to the magnitude of the gradient of image, computed using discrete derivatives of a Gaussian of pixel radius ...

The essence of most methods is in the local quadratic model that is used to determine the next step. The FindMinimum function in Mathematica has five essentially different ...

Identity[expr] gives expr (the identity operation).