Arg (Built-in Mathematica Symbol)

Arg[z] gives the argument of the complex number z.

I (Built-in Mathematica Symbol)

I represents the imaginary unit Sqrt[-1].

ConjugateTranspose (Built-in Mathematica Symbol)

ConjugateTranspose[m] or m^\[ConjugateTranspose] gives the conjugate transpose of m.

FullSimplify (Built-in Mathematica Symbol)

FullSimplify[expr] tries a wide range of transformations on expr involving elementary and special functions, and returns the simplest form it finds. FullSimplify[expr, assum] ...

PowerExpand (Built-in Mathematica Symbol)

PowerExpand[expr] expands all powers of products and powers. PowerExpand[expr, {x_1, x_2, ...}] expands only with respect to the variables x_i.

Sign (Built-in Mathematica Symbol)

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

FunctionExpand (Built-in Mathematica Symbol)

FunctionExpand[expr] tries to expand out special and certain other functions in expr, when possible reducing compound arguments to simpler ones. FunctionExpand[expr, assum] ...

Simplify (Built-in Mathematica Symbol)

Simplify[expr] performs a sequence of algebraic and other transformations on expr, and returns the simplest form it finds. Simplify[expr, assum] does simplification using ...

Expand (Built-in Mathematica Symbol)

Expand[expr] expands out products and positive integer powers in expr. Expand[expr, patt] leaves unexpanded any parts of expr that are free of the pattern patt. >

Sqrt (Built-in Mathematica Symbol)

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