RiceDistribution[\[Alpha], \[Beta]] represents a Rice distribution with shape parameters \[Alpha] and \[Beta].RiceDistribution[m, \[Alpha], \[Beta]] represents a ...

SquareFreeQ[expr] gives True if expr is a square-free polynomial or number, and False otherwise.SquareFreeQ[expr, vars] gives True if expr is square free with respect to the ...

StringReplaceList["string", s -> sp] or StringReplaceList["string", {s_1 -> sp_1, s_2 -> sp_2, ...}] gives a list of the strings obtained by replacing each individual ...

Together[expr] puts terms in a sum over a common denominator, and cancels factors in the result.

TransferFunctionModel[m, var] represents the model of the transfer-function matrix m with complex variable var.TransferFunctionModel[{num, den}, var] specifies the numerator ...

lhs ^:= rhs assigns rhs to be the delayed value of lhs, and associates the assignment with symbols that occur at level one in lhs.

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.

Xor[e_1, e_2, ...] is the logical XOR (exclusive OR) function. It gives True if an odd number of the e_i are True, and the rest are False. It gives False if an even number of ...

Now that we have introduced the basic features of patterns in Mathematica, we can use them to give a more or less complete example. We will show how you could define your own ...

Functions like Factor usually assume that all coefficients in the polynomials they produce must involve only rational numbers. But by setting the option Extension you can ...