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Functions and commands 393
fsolve Returns the numerical solution of an equation or a system of
equations. With the optional third argument you can specify
a guess for the solution or an interval within which it is
expected that the solution will occur. With the optional fourth
argument you can name the iterative algorithm to be used by
the solver.
fsolve(Expr,Var,[Guess or Interval],[Method])
Example:
fsolve(cos(x)=x,x,-1..1,bisection_solver)
gives [0.739085133215]
function_diff Returns the derivative function of a function (as a mapping).
function_diff(Fnc)
Example:
function_diff(sin) gives (_x)→cos(_x)
gauss Given an expression followed by a vector of variables, uses
the Gauss algorithm to return the quadratic form of the
expression written as a sum or difference of squares of the
variables given in the vector.
gauss(Expr,VectVar)
Example:
gauss(x^2+2*a*x*y,[x,y]) gives (a*y+x)^2+(-
y^2)*a^2
GF Creates a Galois Field of characteristic p with p^n elements.
GF(Integerp, Integern)
Example:
GF(5,9) gives GF(5,k^9-k^8+2*k^7+2*k^5-k^2+2*k-
2,[k,K,g],undef)