On Sat, Mar 31, 2012 at 2:01 PM, William Stein <wst...@gmail.com> wrote: > On Sat, Mar 31, 2012 at 9:35 PM, leif <not.rea...@online.de> wrote: >> On 31 Mrz., 22:13, Volker Braun <vbraun.n...@gmail.com> wrote: >>> On Saturday, March 31, 2012 7:11:23 PM UTC+1, kcrisman wrote: >>> >>> > therefore lack the “structural beauty” of the Mathematica® language. >>> >>> Well-placed irony quotation marks! >> >> :-) >> >> "The core of Mathics is and shall remain independent of Sage, as it >> adds a huge footprint to the installation and Mathics should remain >> rather lightweight. In addition, it should be easier to install >> Mathics on Windows and mobile platforms where Sage is not available. >> That's why the light-weight SymPy Python package is prefered for >> advanced calculations, like integration, that will not be implemented >> in Mathics itself." >> >> Subject to change [Windows and mobile platforms]... (?) > > This is pretty nice. > > I used it for some basic mathematica-like stuff, and it seemed to work > fine. I did try an integral though: > > Integrate[Sin[x]*Cos[x+1],x] > > and I seem to be able to count to 10 before getting the answer, even > if I retry it several times in the session. That > seems surprisingly slow, given: > > sage: time integrate(sin(x)*cos(x+1), x) > -1/2*x*sin(1) - 1/4*cos(2*x + 1) > Time: CPU 0.01 s, Wall: 0.01 s > sage: time integrate(sin(x)*cos(x+1), x, algorithm='sympy') > -1/2*x*sin(x + 1)*cos(x) + 1/2*x*sin(x)*cos(x + 1) + 1/2*sin(x + 1)*sin(x) > Time: CPU 0.53 s, Wall: 0.53 s
Indeed, Maxima seems to be really fast on these integrals. Does anyone know how Maxima does it? Does it use some special integration algorithm for trigonometric integrals? Ondrej -- To post to this group, send an email to sage-devel@googlegroups.com To unsubscribe from this group, send an email to sage-devel+unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-devel URL: http://www.sagemath.org
