Images are an important standard data structure, tightly integrated with the Mathematica front end and kernel. Image objects are created by default when you import any file ...

CountRoots[poly, x] gives the number of real roots of the polynomial poly in x.CountRoots[poly, {x, a, b}] gives the number of roots between a and b.

LinearRecurrence[ker, init, n] gives the sequence of length n obtained by iterating the linear recurrence with kernel ker starting with initial values ...

Opacity[a] is a graphics directive which specifies that graphical objects which follow are to be displayed, if possible, with opacity a. Opacity[a, color] uses the specified ...

Sqrt[z] or Sqrt[z] gives the square root of z.

TransferFunctionPoles[tf] gives a matrix of roots of the denominators in the TransferFunctionModel object tf.

NIntegrate[f, {x, x_min, x_max}] gives a numerical approximation to the integral \[Integral]_x_min^x_max\ f\ d \ x. NIntegrate[f, {x, x_min, x_max}, {y, y_min, y_max}, ...] ...

JacobiSN[u, m] gives the Jacobi elliptic function sn(u | m).

ParametricPlot3D[{f_x, f_y, f_z}, {u, u_min, u_max}] produces a three-dimensional space curve parametrized by a variable u which runs from u_min to u_max. ...

ComplexInfinity represents a quantity with infinite magnitude, but undetermined complex phase.