ExpIntegralE (Built-in Mathematica Symbol)

ExpIntegralE[n, z] gives the exponential integral function E_n (z).

Im (Built-in Mathematica Symbol)

Im[z] gives the imaginary part of the complex number z.

Re (Built-in Mathematica Symbol)

Re[z] gives the real part of the complex number z.

StepMonitor (Built-in Mathematica Symbol)

StepMonitor is an option for iterative numerical computation functions that gives an expression to evaluate whenever a step is taken by the numerical method used.

Linear IVPs and BVPs (Mathematica Tutorial)

To begin, consider an initial value problem for a linear first-order ODE. This is a linear first-order ODE. Notice that the general solution is a linear function of the ...

Rigid Body Solvers (Mathematica Tutorial)

The equations of motion for a free rigid body whose center of mass is at the origin are given by the following Euler equations (see [MR99]). Two quadratic first integrals of ...

Plot (Built-in Mathematica Symbol)

Plot[f, {x, x_min, x_max}] generates a plot of f as a function of x from x_min to x_max. Plot[{f_1, f_2, ...}, {x, x_min, x_max}] plots several functions f_i.

ArcCos (Built-in Mathematica Symbol)

ArcCos[z] gives the arc cosine cos -1 (z) of the complex number z.

ArcSin (Built-in Mathematica Symbol)

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

D (Built-in Mathematica Symbol)

D[f, x] gives the partial derivative \[PartialD]f/\[PartialD]x. D[f, {x, n}] gives the multiple derivative \[PartialD]^n f/\[PartialD]x^n. D[f, x, y, ...] differentiates f ...