I have just written about the freeware CAS Maxima; this time it’s about Axiom. Axiom differs from most CAS’s in being strongly typed, in that each expression belongs to a particular type, such as the integers, or polynomials, or finite fields. One of the difficulties for a beginner with Axiom is using types correctly.
As with Maxima, here is a very small example: Newton’s method interactively:
First define the function:
(1) -> f:=x^5+x^2-1 5 2 (1) x + x - 1 cheap nba jerseys Type: Polynomial wholesale jerseys Integer
and its derivative
(2) -> d:=D(f,x) 4 (2) 5x + 2x Type: Polynomial Integer
Now put them together as in a Newton’s method, where
turns an expression into a function (similar in some respects to Maple’s
(3) -> function(x-f/d,'nr,'x) (3) nr 2000’lerde cheap mlb jerseys Tapperis Type: Symbol
And now, starting with cheap nfl jerseys 0.8, we can obtain iterations:
(4) -> nr(0.8) Compiling function nr with type Float -> Float (4) 0.8088596491 2280701754 Type: Float (5) -> nr(%) (5) 0.8087306283 5888432463 cheap nba jerseys Type: Float (6) -> nr(%) (6) 0.8087306004 7939331516 14 Type: Infinitesimals Float (7) -> nr(%) (7) 0.8087306004 7939201374 Type: Float (8) -> nr(%) (8) 0.8087306004 7939201374 method Type: Float
And there we are!