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342 Functions and commands
Legendre Returns the Legendre polynomial of degree n.
legendre(Intg(n))
Example:
legendre(4) gives 35*x^4/8+-15*x^2/4+3/8
Chebyshev Tn Returns the Tchebyshev polynomial of first kind of degree n.
tchebyshev1(Intg(n))
Example:
tchebyshev1(3) gives 4*x^3-3*x
Chebyshev Un Returns the Tchebyshev polynomial of second kind of degree
n.
tchebyshev2(Intg(n))
Example:
tchebyshev2(3) gives 8*x^3-4*x
Plot
Function Plots the graph of an expression of one or two variables with
superposition.
plotfunc(Expr,[Var(x)],[Intg(color)])
or
plotfunc(Expr,[VectVar],[Intg(color)])
Example:
plotfunc(3*sin(x)) draws the graph of y=3*sin(x)
Density Plots the graph of the function z=f(x,y) in the plane where the
values of z are represented by different colors.
plotdensity(Expr,[x=xrange,y=yrange],[z],[x
step],[ystep])
Slopefield Draws the tangent of the differential equation y'=f(t,y), where
the first argument is the expression f(t,y) (y is the real variable
and t is the abscissa), the second argument is the vector of
variables (abscissa must be listed first), and the third argument
is the optional range.
plotfield(Expr,VectVar,[Opt])