[sage-support] Right inverse of a matrix

2010-12-01 Thread Santanu Sarkar
Let A be a matrix of order (24,6). How one can find a matrix B in Sage of order (6,24) such that AB=Identity matrix? -- To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support+unsubscr...@googlegroups.com For more options, vis

Re: [sage-support] Re: Groebner basis Question

2010-12-01 Thread Santanu Sarkar
Thank you very much. On 2 December 2010 07:34, Marshall Hampton wrote: > R. = PolynomialRing(QQ,9) > ideal = R.ideal([u-d_p*d_q,v-d_p-d_q,w-d_q*k-d_p*l,x-k-l,y-k*l]) > list(ideal.elimination_ideal([d_p,d_q,k,l]).gens()) > > [x^2*u + y*v^2 - x*v*w - 4*y*u + w^2] > > -M. Hampton > > On Dec 1, 8:04

[sage-support] Re: simplify_full() bug?

2010-12-01 Thread kcrisman
On Dec 1, 5:31 pm, Alex Raichev wrote: > Hi all: > > I think i found a bug with simplify_full(). > > Alex Thanks, that's definitely a problem. This is already http://trac.sagemath.org/sage_trac/ticket/9240, in fact, where the problem is nicely diagnosed and a patch is provided! #9248 is relat

[sage-support] Re: Plotting trigonometric functions

2010-12-01 Thread kcrisman
On Dec 1, 8:35 pm, BFJ wrote: > The part of the reference manual under Pi Axis is relevant: > > Pi Axis: > > sage: g1 = plot(sin(x), 0, 2*pi) > sage: g2 = plot(cos(x), 0, 2*pi, linestyle = "--") > sage: (g1+g2).show(ticks=pi/6, tick_formatter=pi)  # show their sum, > nicely formatted Yes, this

[sage-support] Re: Groebner basis Question

2010-12-01 Thread Marshall Hampton
R. = PolynomialRing(QQ,9) ideal = R.ideal([u-d_p*d_q,v-d_p-d_q,w-d_q*k-d_p*l,x-k-l,y-k*l]) list(ideal.elimination_ideal([d_p,d_q,k,l]).gens()) [x^2*u + y*v^2 - x*v*w - 4*y*u + w^2] -M. Hampton On Dec 1, 8:04 am, Santanu Sarkar wrote: > Suppose, > u=d_p*d_q > v=d_p+d_q > w=d_q*k+d_p*l > x=k+l >

[sage-support] Re: Plotting trigonometric functions

2010-12-01 Thread BFJ
The part of the reference manual under Pi Axis is relevant: Pi Axis: sage: g1 = plot(sin(x), 0, 2*pi) sage: g2 = plot(cos(x), 0, 2*pi, linestyle = "--") sage: (g1+g2).show(ticks=pi/6, tick_formatter=pi) # show their sum, nicely formatted On Nov 30, 3:36 pm, David Joyner wrote: > Does the pag

[sage-support] simplify_full() bug?

2010-12-01 Thread Alex Raichev
Hi all: I think i found a bug with simplify_full(). Alex -- | Sage Version 4.6, Release Date: 2010-10-30 | | Type notebook() for the GUI, and license() for information.| --

[sage-support] Groebner basis Question

2010-12-01 Thread Santanu Sarkar
Suppose, u=d_p*d_q v=d_p+d_q w=d_q*k+d_p*l x=k+l y=k*l where dp,dq,k,l are variables. Then, how one can find the relation v*w*x= (v^2 - 2*u)*y + w^2 - 2*u*y + u*x^2 using Groebner Basis in sage? -- To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group,

[sage-support] Re: mpmath's incomplete gamma function evaluates much faster for small arguments

2010-12-01 Thread Fredrik Johansson
On Nov 27, 2:15 pm, KvS wrote: > Dear all, > > just a quick question/remark, today I was working (plotting etc.) with > some quantities that involve (upper) incomplete gamma functions. Some > operations took very long, as it turned out due to the incomplete > gamma function evaluating very slowly