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Functions and commands 389
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.
function_diff(Fnc)
Example:
function_diff(sin) gives (`x`)->cos(`x`)
gauss Using the Gauss algorithm, returns the quadratic form of an
expression written as a sum or difference of squares of the
variables given in VectVar.
gauss(Expr,VectVar)
Example:
gauss(x^2+2*a*x*y,[x,y]) gives (a*y+x)^2+(-
y^2)*a^2
GETPIX_C Returns the color of the pixel G with coordinates x,y.
GETPIX_P([G], xposition, yposition)
G can be any of the graphics variables and is optional. The
default is G0, the current graphic.
GF Creates a Galois Field of characteristic p with p^n elements.
GF(Intg(p),Intg(n))
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)