RECURSE

Provides a method of defining a sequence without using

 

the Symbolic view of the Sequence aplet. If used with

 

(“where”), RECURSE will step through the evaluation.

 

RECURSE(sequencename, termn, term1, term2)

 

Example

 

 

RECURSE(U,U(N-1)*N,1,2)

U1(N)

 

Stores a factorial-calculating function named U1.

 

When you enter U1(5), for example, the function

 

calculates 5! (120).

 

Σ

Summation. Finds the sum of expression with respect to

variable from initialvalue to finalvalue. Σ(variable=initialvalue, finalvalue, expression)

Example

Σ(C=1,5,C2) returns 55.

Matrix functions

 

These functions are for matrix data stored in matrix

 

variables. See “Matrix functions and commands” on

 

page 13-9.

Polynomial functions

 

Polynomials are products of constants (coefficients) and

 

variables raised to powers (terms).

POLYCOEF

Polynomial coefficients. Returns the coefficients of the

polynomial with the specified roots. POLYCOEF ([roots])

Example

To find the polynomial with roots 2, –3, 4, –5:

POLYCOEF([2,-3,4,-5]) returns[1,2,-25,

-26,120], representing x4+2x3–25x2–26x+120.

11-10

Using mathematical functions