Re: [Axiom-mail] Defining piece-wise functions and drawing, integrating, ...

2007-05-27 Thread Martin Rubey
Dear Sumant, You have sent an excellent example! Sumant S.R. Oemrawsingh [EMAIL PROTECTED] writes: Say, I wish to define a piece-wise function, (1) - f(x|x0)==-x**2 Type: Void (2) - f(x)==x**2

[Axiom-mail] Inverting a matrix over a modular integer ring

2007-05-27 Thread Alasdair McAndrew
Suppose I create the matrix M:=matrix([[random()$PF(19) for i in 1..3] for j in 1..3]) Assuming the determinant is non-zero, then I can invert the matrix in the finite field PF(19). But suppose I enter N:=matrix([[random()$ZMOD(20) for i in 1..3] for j in 1..3]) If the determinant is

Re: [Axiom-mail] Defining piece-wise functions and drawing, integrating, ...

2007-05-27 Thread Raymond E. Rogers
Sumant S.R. Oemrawsingh wrote: Say, I wish to define a piece-wise function, (1) - f(x|x0)==-x**2 Type: Void (2) - f(x)==x**2 Type: Void (3) -

Re: [Axiom-mail] Dirac Delta

2007-05-27 Thread Ondrej Certik
Oddly enough, I was just looking at Dirac Deltas (from a physics standpoint, a CAS with a good handle on the Dirac Delta is a Good Thing). It looks like a mathematically rigorous definition of the Dirac Delta would require generalized functions (a.k.a distributions). I don't know much about

Re: [Axiom-mail] Dirac Delta

2007-05-27 Thread C Y
--- Ondrej Certik [EMAIL PROTECTED] wrote: It looks like the place to start would be the work of Laurent Schwartz. Incidentally it looks like the key papers are in French - does anyone know if there are authoritative translations anywhere? If not it looks like some quality time with