HP Prime Graphing NW280AAABA manual Signature Returns the signature of a permutation

select Given a Boolean expression in a single variable and a list or vector, tests each element in the list or vector and returns a list or vector containing the elements that satisfy the Boolean.

select(Expr, List) or select(Expr, Vector)

Example:

select(x→x>=5,[1,2,6,7]) gives [6,7]

seq Given an expression, a variable defined over an interval, and a step value, returns a vector containing the sequence obtained when the expression is evaluated within the given interval using the given step. If no step is provided, the step used is 1.

seq(Expr, Var=Interval, [Step])

Example:

seq(2k,k=0..8) gives [1,2,4,8,16,32,64,128,256]

seqsolve Similar to rsolve. Given an expression defining a recurrence relation in terms of n and/or the previous term (x), followed by a vector of variables and an initial condition for x (the 0th term), returns the closed form solution (if possible) for the recurrent sequence. Given three lists, each containing multiple items of the above nature, solves the system of recurrent sequences.

seqsolve(Expr, Vector, Condition) or rsolve(List1, List2, List3)

Example:

seqsolve(2x+n,[x,n],1) gives -n-1+2*2n

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(Vector)

Example:

signature([2 1 4 5]) returns –1

Functions and commands 415