SmoothKernelDistribution (Built-in Mathematica Symbol)

SmoothKernelDistribution[{x_1, x_2, ...}] represents a smooth kernel distribution based on the data values x_i.SmoothKernelDistribution[{{x_1, y_1, ...}, {x_2, y_2, ...}, ...

Dispatch (Built-in Mathematica Symbol)

Dispatch[{lhs_1 -> rhs_1, lhs_2 -> rhs_2, ...}] generates an optimized dispatch table representation of a list of rules. The object produced by Dispatch can be used to give ...

NProduct (Built-in Mathematica Symbol)

NProduct[f, {i, i_min, i_max}] gives a numerical approximation to the product \[Product]i = i_min i_max f.NProduct[f, {i, i_min, i_max, di}] uses a step di in the product.

SetDelayed (Built-in Mathematica Symbol)

lhs := rhs assigns rhs to be the delayed value of lhs. rhs is maintained in an unevaluated form. When lhs appears, it is replaced by rhs, evaluated afresh each time.

Unconstrained Optimization (Mathematica Overview)

Introduction Methods for Local Minimization Methods for Solving Nonlinear Equations

Polynomial Equations (Mathematica Guide)

Packed into functions like Solve and Reduce are a wealth of sophisticated algorithms, many created specifically for Mathematica. Routinely handling both dense and sparse ...

Values for Symbols (Mathematica Tutorial)

When Mathematica transforms an expression such as x+x into 2x, it is treating the variable x in a purely symbolic or formal fashion. In such cases, x is a symbol which can ...

CDFWavelet (Built-in Mathematica Symbol)

CDFWavelet[] represents a Cohen\[Dash]Daubechies\[Dash]Feauveau wavelet of type "9/7". CDFWavelet["type"] represents a Cohen\[Dash]Daubechies\[Dash]Feauveau wavelet of type " ...

Vector Analysis Package (Vector Analysis Package Guide)

Frequently, physical systems exhibit special symmetries or structures that make a particular coordinate system especially useful. In a mathematically elegant solution to ...

Advanced Numerical Differential ... (Mathematica Tutorial)

[AP91] Ascher, U. and L. Petzold. "Projected Implicit Runge–Kutta Methods for Differential Algebraic Equations." SIAM J. Numer. Anal. 28 (1991): 1097–1120. [AP98] Ascher, U. ...