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Functions and commands 411
randperm Given a positive integer, returns a random permutation of
[0,1,2,...,n–1].
randperm(Intg(n))
Example:
randperm(4) returns a random permutation of the elements of
the vector [0 1 2 3]
ratnormal Rewrites an expression as an irreducible rational fraction.
ratnormal(Expr)
Example:
ratnormal returns
reciprocation Given a circle and a vector containing points and lines,
returns a vector containing the polar line of each point and
the pole of each line, with respect to the circle.
reciprocation(Crcle,Lst(Pnt,Line))
Example:
reciprocation(circle(0,1), [line(1+i, 2),
point(1+i*2)]) returns
rectangular_
coordinate
Given a vector containing the polar coordinates of a point,
returns a vector containing the rectangular coordinates of the
point.
rectangular_coordinates(Vector)
Example:
rectangular_coordinates([1, π/4]) returns
red Used in the Symbolic view of the Geometry app. In the
definition of a geometric object, including the statement
“display=red” specifies that the object defined will be
drawn in red.
x
2
1–
x
3
1–
----------------
x 1+
x
2
x 1++
-------------------------
point
1
2
---
1
2
---
line y
1
2
---
x
1
2
---
+–=
2
2
-------
2
2
-------