GradientFilter (Built-in Mathematica Symbol)

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 ...

Introduction to Local Minimization (Mathematica Tutorial)

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 (Built-in Mathematica Symbol)

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

Linear First-Order Equations (Mathematica Tutorial)

The following is a linear first-order ODE because both y[x] and y^ ′[x] occur in it with power 1 and y^′[x] is the highest derivative. Note that the solution contains the ...

CandlestickChart (Built-in Mathematica Symbol)

CandlestickChart[{{date_1, {open_1, high_1, low_1, close_1}}, ...}] makes a chart with candles representing open, high, low, and close prices for each date. ...

Integrals That Can and Cannot Be Done (Mathematica Tutorial)

Evaluating integrals is much more difficult than evaluating derivatives. For derivatives, there is a systematic procedure based on the chain rule that effectively allows any ...

Solve Delay Differential Equations (Mathematica How To)

You can use the standard differential equation solving function, NDSolve , to numerically solve delay differential equations with constant delays. It returns an interpolation ...

Zeta (Built-in Mathematica Symbol)

Zeta[s] gives the Riemann zeta function \[Zeta](s). Zeta[s, a] gives the generalized Riemann zeta function \[Zeta](s, a).

Calculus`VariationalMethods` (Mathematica Compatibility Information)

All the functionality in Calculus`VariationalMethods` is now available through the newly created Variational Methods Package.

EdgeDetect (Built-in Mathematica Symbol)

EdgeDetect[image] finds edges in image and returns the result as a binary image.EdgeDetect[image, r] finds edges at the scale of the specified pixel range r.EdgeDetect[image, ...