Manual

394 Functions and commands
gramschmidt Given a basis of a vector subspace, and a function that
defines a scalar product on this vector subspace, returns an
orthonormal basis for that function.
gramschmidt(Vector, Function)
Example:
gramschmidt returns
green Used in the Symbolic view of the Geometry app. In the
definition of a geometric object, including the statement
“display=green” specifies that the object defined will be
drawn in green.
halftan2hypexp Returns an expression with sine, cosine, and tangent rewritten
in terms of half-tangent, and sinh, cosh, and tanh rewritten in
terms of the natural exponential.
halftan_hyp2exp(ExprTrig)
Example:
halftan_hyp2exp(sin(x)+sinh(x)) returns
halt Used in programming to go into step-by-step debugging
mode.
hamdist Returns the Hamming distance between two integers.
hamdist(Integer1, Integer2)
Example:
hamdist(0x12,0x38) gives 3
has Returns 1 if a variable is in an expression, and returns 0
otherwise.
has(Expr,Var)
Example:
has(x+y,x) gives 1
11 x+
pq pq xd
1–
1







1
2
-------
1 x 1–+
6
3
-------
----------------------
2
x
2
---


tan
x
2
---


2
tan 1+
--------------------------------
exp x
1
exp x
-----------------
–
2
------------------------------------------
+