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Functions and commands 417
select Returns a list with only the elements that satisfy the Boolean
function remaining.
select(FncBool(f),Lst(l))
Example:
select(x->x>=5,[1,2,6,7]) gives [6,7]
seq With an expression and two integers (a and b) as arguments,
returns the sequence obtained when the expression is
evaluated within the interval given by a and b. With an
expression and three integers (a, b and p) as arguments,
returns the sequence obtained when the expression is
evaluated with step of p within the interval given by a and b.
With an expression and three integers (n, a and b) as
arguments, returns the sequence obtained when the
expression is evaluated n times of equal spacing within the
interval given by a and b.
seq(Expr,Intg(n)||Var(var),[Intg(a)],[Intg(b)
],[Intg(p)])
Example:
seq(2^k,k=0..8) gives 1,2,4,8,16,32,64,128,256
seqsolve Returns the value of a recurrent sequence or a system of
recurrent sequences (u_{n+1}=f(u_n) or
u_{n+2}=f(u_{n+1},u_n)...).
seqsolve((Expr or LstExpr),(Var or
LstVar),(InitVal or LstInitVal))
Example:
seqsolve(2x+n,[x,n],1) gives -n-1+2*2^n
shift_phase Returns the result of applying a phase shift of pi/2 to a
trigonometric expression.
shift_phase(Expr)
Example:
shift_phase(sin(x)) gives -cos((pi+2*x)/2)
signature Returns the signature of a permutation.
signature(Permut)
Example:
signature([1,0,3,4,2]) gives
[100.0,100.0,0.0,87,14,""]