Reals (Built-in Mathematica Symbol)

Reals represents the domain of real numbers, as in x \[Element] Reals.

Rescale (Built-in Mathematica Symbol)

Rescale[x, {min, max}] gives x rescaled to run from 0 to 1 over the range min to max. Rescale[x, {min, max}, {x_min, x_max}] gives x rescaled to run from x_min to x_max over ...

SphericalHarmonicY (Built-in Mathematica Symbol)

SphericalHarmonicY[l, m, \[Theta], \[Phi]] gives the spherical harmonic Y_l^m(\[Theta], \[Phi]).

RevolutionPlot3D (Built-in Mathematica Symbol)

RevolutionPlot3D[f_z, {t, t_min, t_max}] generates a plot of the surface of revolution with height f_z at radius t.RevolutionPlot3D[f_z, {t, t_min, t_max}, {\[Theta], ...

Sign (Built-in Mathematica Symbol)

Sign[x] gives -1, 0, or 1 depending on whether x is negative, zero, or positive.

JacobiDS (Built-in Mathematica Symbol)

JacobiDS[u, m] gives the Jacobi elliptic function ds(u | m).

JacobiSD (Built-in Mathematica Symbol)

JacobiSD[u, m] gives the Jacobi elliptic function sd(u | m).

Refine (Built-in Mathematica Symbol)

Refine[expr, assum] gives the form of expr that would be obtained if symbols in it were replaced by explicit numerical expressions satisfying the assumptions assum. ...

Definite Integrals (Mathematica Tutorial)

Integration functions. Here is the integral ∫_a^bx^2 dx. This gives the multiple integral ∫_0^adx ∫_0^bd y(x^2+y^2).

InverseErf (Built-in Mathematica Symbol)

InverseErf[s] gives the inverse error function obtained as the solution for z in s = erf(z).