[sage-support] Re: Taylor series of a matrix

2008-02-02 Thread Mike Hansen
> To easily see the coefficients of each > term in the taylor polynomial? Yes, that would be the reason why in this case. --Mike --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to

[sage-support] Re: Taylor series of a matrix

2008-02-02 Thread Ondrej Certik
On Feb 2, 2008 11:07 PM, Mike Hansen <[EMAIL PROTECTED]> wrote: > > Hello, > > Here is an example of the underlying problem > > sage: a = -x/(2*x-4) > sage: e = lambda e: taylor(e,x,3,4) > sage: e(a) > -3/2 + x - 3 - (x - 3)^2 + (x - 3)^3 - (x - 3)^4 > sage: type(_) > > sage: b = e(a)._maxima_();

[sage-support] Re: Taylor series of a matrix

2008-02-02 Thread Mike Hansen
Hello, Here is an example of the underlying problem sage: a = -x/(2*x-4) sage: e = lambda e: taylor(e,x,3,4) sage: e(a) -3/2 + x - 3 - (x - 3)^2 + (x - 3)^3 - (x - 3)^4 sage: type(_) sage: b = e(a)._maxima_(); b x-(x-3)^4+(x-3)^3-(x-3)^2-9/2 What happens is that is able to construct a Symbolic

[sage-support] Re: Taylor series of a matrix

2008-02-02 Thread pgdoyle
On Feb 1, 8:59 am, "William Stein" <[EMAIL PROTECTED]> wrote: > On Jan 31, 2008 7:59 AM, pgdoyle <[EMAIL PROTECTED]> wrote: > > > > > > > On Jan 31, 12:29 am, "William Stein" <[EMAIL PROTECTED]> wrote: > > > > On Jan 30, 2008 3:48 PM, pgdoyle <[EMAIL PROTECTED]> wrote: > > > > > I would like to

[sage-support] Re: Taylor series of a matrix

2008-02-01 Thread William Stein
On Jan 31, 2008 7:59 AM, pgdoyle <[EMAIL PROTECTED]> wrote: > > > > On Jan 31, 12:29 am, "William Stein" <[EMAIL PROTECTED]> wrote: > > > On Jan 30, 2008 3:48 PM, pgdoyle <[EMAIL PROTECTED]> wrote: > > > > > > > > > > > > > I would like to take the Taylor series of a matrix. But I find I > > > ca

[sage-support] Re: Taylor series of a matrix

2008-01-31 Thread pgdoyle
On Jan 31, 8:05 am, "John Cremona" <[EMAIL PROTECTED]> wrote: > You could try substituting x+1 for x first, then do what you want, and > substitute back at the end, > I would expect the auto-simplification to happen at that last step > too, but you would be able to (say) replace x by (x-1) in th

[sage-support] Re: Taylor series of a matrix

2008-01-31 Thread John Cremona
You could try substituting x+1 for x first, then do what you want, and substitute back at the end, I would expect the auto-simplification to happen at that last step too, but you would be able to (say) replace x by (x-1) in the textual output. I wonder if it is possible to have a variable whose n

[sage-support] Re: Taylor series of a matrix

2008-01-31 Thread pgdoyle
On Jan 31, 12:29 am, "William Stein" <[EMAIL PROTECTED]> wrote: > On Jan 30, 2008 3:48 PM, pgdoyle <[EMAIL PROTECTED]> wrote: > > > > > > > I would like to take the Taylor series of a matrix. But I find I > > can't even put a Taylor polynomial into a matrix without its being > > simplified. > >

[sage-support] Re: Taylor series of a matrix

2008-01-30 Thread William Stein
On Jan 30, 2008 3:48 PM, pgdoyle <[EMAIL PROTECTED]> wrote: > > I would like to take the Taylor series of a matrix. But I find I > can't even put a Taylor polynomial into a matrix without its being > simplified. > > sage: f=-x/(2*x-4); f > -x/(2*x - 4) > sage: g=taylor(f,x,1,1); g > 1/2 + x - 1 >