Numerical Integration (Mathematica Tutorial)

Numerical integration functions. This finds a numerical approximation to the integral ∫_(0)^∞ e^-x^3 x. Here is the numerical value of the double integral ∫_(-1)^1 dx ...

Variables in Pure Functions and Rules (Mathematica Tutorial)

Module and With allow you to give a specific list of symbols whose names you want to treat as local. In some situations, however, you want to automatically treat certain ...

Log (Built-in Mathematica Symbol)

Log[z] gives the natural logarithm of z (logarithm to base e). Log[b, z] gives the logarithm to base b.

ProductLog (Built-in Mathematica Symbol)

ProductLog[z] gives the principal solution for w in z == w e^w. ProductLog[k, z] gives the k\[Null]^th solution.

Algebraic Operations on Polynomials (Mathematica Tutorial)

For many kinds of practical calculations, the only operations you will need to perform on polynomials are essentially structural ones. If you do more advanced algebra with ...

Creating Dialog Boxes (Mathematica Tutorial)

In Mathematica, dialog boxes are customized notebooks used to provide users with information and/or request user input. There are two properties associated with dialogs. ...

Plot3D (Built-in Mathematica Symbol)

Plot3D[f, {x, x_min, x_max}, {y, y_min, y_max}] generates a three-dimensional plot of f as a function of x and y. Plot3D[{f_1, f_2, ...}, {x, x_min, x_max}, {y, y_min, ...

ArcSin (Built-in Mathematica Symbol)

ArcSin[z] gives the arc sine sin -1 (z) of the complex number z.

CurrentValue (Built-in Mathematica Symbol)

CurrentValue[item] gives the current value of item at a location in the Mathematica system and interface. CurrentValue[{item, spec}] gives the current value for the feature ...

EllipticPi (Built-in Mathematica Symbol)

EllipticPi[n, m] gives the complete elliptic integral of the third kind \[CapitalPi] (n \[VerticalSeparator] m). EllipticPi[n, \[Phi], m] gives the incomplete elliptic ...