Other functions

• HORN executes an Horner scheme. The syntax is:

    stk2: P
    stk1: r
    -> 3: P div (X-r), 2: r, 1: P(r)
    Ex: 'X^2+2*X+3'  5 -> 'X+7'  5  38
  

  This means that X²+2*X+3=(X+7)(X-5)+38.
• PTAYL: fast Taylor development for polynomials:
  2: P(X), 1: r -> P(X-r)
  Example:
  'X^3+2*X' 2 PTAYL -> 'X^3+6*X^2+14*X+12'
  means that X³+2X=(X-2)³+6(X-2)²+14(X-2)+12
• LEGENDRE [resp. HERMITE and TCHEB]: given an integer n, returns the n-th degree Legendre [resp. Hermite and Tchebycheff] polynomial.
• PFEXEC: execute the program at level 1 in subexpressions between all + and - of the symbolic expression at level 2. For example, try:
  '1/2/(X^2-1)+1/4/(X^2-4)' << COLC >> PFEXEC

• XPRG: explodes a program on the stack or creates a program with stack level 1 components.
• tEVAL (other directory): evaluate object 1 and returns the time it tooks to evaluate it. Not as accurate as TIM of the hacker library.
• LATEX: converts a symbolic to a string, the L^ATEX traduction of the symbolic. To tex it on a computer, you must include the string in a math. environment (in $ $ or in \[ \] or in an equation environment, and you must include the file hp48.tex).