Cycle[n] constructs the cycle on n vertices, the 2-regular connected graph. An option Type that takes on values Directed or Undirected is allowed. The default setting is Type ...

Normal[expr] converts expr to a normal expression, from a variety of special forms.

ShearingMatrix[\[Theta], v, n] gives the matrix corresponding to shearing by \[Theta] radians along the direction of the vector v, and normal to the vector n.

Ordered is an option to the functions KSubsetGroup and KSubsetGroupIndex that tells the functions whether they should treat the input as sets or tuples.

DialogSymbols is an option for Dialog which gives a list of symbols whose values should be localized in the dialog.

UsingFrontEnd[expr] evaluates expr, making use of a front end if necessary.

CoefficientList[poly, var] gives a list of coefficients of powers of var in poly, starting with power 0. CoefficientList[poly, {var_1, var_2, ...}] gives an array of ...

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.

The functions accessible with Wolfram LibraryLink make it possible to optimize numerical computations while still keeping the flexibility and generality of Mathematica. If ...

ButtonFunction is an option for the low-level function ButtonBox that specifies the function to execute when the button is active and is clicked.