RandomImage (Built-in Mathematica Symbol)

RandomImage[max, {w, h}] gives an image of dimensions {w, h} with pseudorandom pixel values generated from a uniform distribution in the range 0 to max.RandomImage[{min, ...

MangoldtLambda (Built-in Mathematica Symbol)

MangoldtLambda[n] gives the von Mangoldt function \[CapitalLambda](n).

Setting Up Functions with Optional ... (Mathematica Tutorial)

When you define a complicated function, you will often want to let some of the arguments of the function be "optional". If you do not give those arguments explicitly, you ...

DirichletConvolve (Built-in Mathematica Symbol)

DirichletConvolve[f, g, n, m] gives the Dirichlet convolution of the expressions f and g.

EdgeCount (Built-in Mathematica Symbol)

EdgeCount[g] gives a count of the number of edges in the graph g.EdgeCount[g, patt] gives a count of the number of edges that match the pattern patt.

VertexCount (Built-in Mathematica Symbol)

VertexCount[g] gives a count of the number of vertices in the graph g.VertexCount[g, patt] gives a count of the number of vertices that match the pattern patt.

Im (Built-in Mathematica Symbol)

Im[z] gives the imaginary part of the complex number z.

Re (Built-in Mathematica Symbol)

Re[z] gives the real part of the complex number z.

Complexes (Built-in Mathematica Symbol)

Complexes represents the domain of complex numbers, as in x \[Element] Complexes.

LiouvilleLambda (Built-in Mathematica Symbol)

LiouvilleLambda[n] gives the Liouville function \[Lambda](n).