ToBoxes (Built-in Mathematica Symbol)

ToBoxes[expr] generates boxes corresponding to the printed form of expr in StandardForm. ToBoxes[expr, form] gives the boxes corresponding to output in the specified form.

Second-Order PDEs (Mathematica Tutorial)

The general form of a linear second-order PDE is Here uu(x,y), and a, b, c, d, e, f, and g are functions of x and y only—they do not depend on u. If g0, the equation is ...

Matrix Inversion (Mathematica Tutorial)

Matrix inversion. Here is a simple 2×2 matrix. This gives the inverse of m. In producing this formula, Mathematica implicitly assumes that the determinant ad-bc is nonzero.

Array (Built-in Mathematica Symbol)

Array[f, n] generates a list of length n, with elements f[i]. Array[f, {n_1, n_2, ...}] generates an n_1*n_2*... array of nested lists, with elements f[i_1, i_2, ...]. ...

ComplexInfinity (Built-in Mathematica Symbol)

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

Erfc (Built-in Mathematica Symbol)

Erfc[z] gives the complementary error function erfc(z).

JacobiCD (Built-in Mathematica Symbol)

JacobiCD[u, m] gives the Jacobi elliptic function cd(u | m).

JacobiDC (Built-in Mathematica Symbol)

JacobiDC[u, m] gives the Jacobi elliptic function dc(u | m).

JacobiNC (Built-in Mathematica Symbol)

JacobiNC[u, m] gives the Jacobi elliptic function nc(u | m).

Nearest (Built-in Mathematica Symbol)

Nearest[{elem_1, elem_2, ...}, x] gives the list of elem_i to which x is nearest. Nearest[{elem_1 -> v_1, elem_2 -> v_2, ...}, x] gives the v_i corresponding to the elem_i to ...