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Functions and commands 419
slopeat Displays the value at point z0 of the slope of the line or
segment d. A legend is provided.
slopeat(Line,Pnt||Cplx(z0))
slopeatraw Displays the value at point z0 of the slope of the line or
segment d.
slopeatraw(Line,Pnt||Cplx(z0))
sphere With two points as arguments, draws the sphere of diameter
made by the line from one point to another. With a point and
a real as arguments, draws the sphere with center at the point
and radius given by the real.
sphere((Pnt or Vect),(Pnt or Real))
spline Returns the natural spline through the points given by two lists.
The polynomials in the spline are in variable x and of degree d.
spline(Lst(lx),Lst(ly),Var(x),Intg(d))
Example:
spline([0,1,2],[1,3,0],x,3) gives [-5*x^3/
4+13*x/4+1,5*(x-1)^3/4+-15*(x-1)^2/4+(x-1)/-
2+3]
sqrt Returns the square root of an expression.
sqrt(Expr)
Example:
sqrt(50) gives 5*sqrt(2)
square Draws the square of side AB in the plane ABP.
square((Pnt(A) or Cplx),(Pnt(B) or
Cplx),[Pnt(P),Var(C),Var(D)])
Example:
square(0, 3+2i,p,q) draws a square with vertices at
(0,0), (3,2), (1,5), and (-2,3). The last two vertices are
computed automatically and are saved into the CAS
variables p and q.
stddev Returns the standard deviance of the elements in a list with the
or returns the list of standard deviances of the columns of a
matrix. The optional second list is a list of weights.
stddev(Lst||Mtrx,[Lst])
Example:
stddev([1,2,3]) gives (sqrt(6))/3