RandomComplex[] gives a pseudorandom complex number with real and imaginary parts in the range 0 to 1.RandomComplex[{z_min, z_max}] gives a pseudorandom complex number in the ...

Polynomial algorithms are at the core of classical "computer algebra". Incorporating methods that span from antiquity to the latest cutting-edge research at Wolfram Research, ...

Reduce[expr, vars] reduces the statement expr by solving equations or inequalities for vars and eliminating quantifiers. Reduce[expr, vars, dom] does the reduction over the ...

Mathematica includes all the common special functions of mathematical physics found in standard handbooks. Each of the various classes of functions is discussed in turn. One ...

An expression like x^2+2x-7==0 represents an equation in Mathematica. You will often need to solve equations like this, to find out for what values of x they are true. This ...

NonPositive[x] gives True if x is a non-positive number.

Multinomial[n_1, n_2, ...] gives the multinomial coefficient (n_1 + n_2 + ...)!/(n_1! n_2! ...).

Unless f is a flat function, a pattern like f[x_,y_] stands only for instances of the function with exactly two arguments. Sometimes you need to set up patterns that can ...

SingularValueList[m] gives a list of the nonzero singular values of a matrix m. SingularValueList[{m, a}] gives the generalized singular values of m with respect to a. ...

SignPadding is an option for NumberForm and related functions that specifies whether padding should be inserted after signs.