[sage-support] Re: Getting Sage to give symbolic output with Variables

2016-06-02 Thread saad khalid
Thanks for the quick reply! Could you explain, or tell me what to search, what exactly "SR("y%s"%i)" does? Is SR Symbolic Ring? Also, the output for the sum is close to perfect, though it gives me: y1 + y10 + y11 + y12 + y13 + y14 + y15 + y16 + y17 + y18 + y19 + y2 + y20 + y3 + y4 + y5 + y6 + y

[sage-support] Re: Possible bug in numerical integration

2016-06-02 Thread Robert Dodier
On 2016-05-31, Peter Luschny wrote: > def T(v): > def f(t): return (tanh(exp(i*t))/exp(i*t*v)).real() > c = integral_numerical(f(t), 0, 2*pi)[0] > return (c*gamma(v+1)/(2*pi)).n() > > print [round(T(n)) for n in range(10)] > > Sage returned: [0, 1, 0, -1, 0, 8, 0, -136, 0, 3968] > I

[sage-support] Re: Getting Sage to give symbolic output with Variables

2016-06-02 Thread Nils Bruin
On Thursday, June 2, 2016 at 11:29:34 AM UTC-7, saad khalid wrote: > > Hey everyone: > > So, there are some infinite sums that I would like to see computed out to > around 20 terms, just so I can kind of see what form its taking. The > problem is that it's a bit difficult to do by hand, and I'll

[sage-support] Re: Getting Sage to give symbolic output with Variables

2016-06-02 Thread saad khalid
As another example, here is something I found in Mathematica: In: Sum[f[i], {i, 1, 5, 2}] Out: f[1] + f[3] + f[5] In this case, I believe it is treating f as a function, which is fine as I will eventually be writing y as a function. I just didn't know how I should define y in Sage so that it w

Re: [sage-support] Re: How to run Macaulay2 code through Sage interface

2016-06-02 Thread William Stein
On Thu, Jun 2, 2016 at 11:37 AM, saad khalid wrote: > Not sure if this is helpful: > http://doc.sagemath.org/html/en/reference/interfaces/sage/interfaces/macaulay2.html > > Sage also has some functions that do the same thing as M2 (I believe they > run on Singular). For eg, Groebner basis: > http:

[sage-support] Re: How to run Macaulay2 code through Sage interface

2016-06-02 Thread saad khalid
Not sure if this is helpful: http://doc.sagemath.org/html/en/reference/interfaces/sage/interfaces/macaulay2.html Sage also has some functions that do the same thing as M2 (I believe they run on Singular). For eg, Groebner basis: http://combinat.sagemath.org/doc/reference/polynomial_rings/sage/rin

[sage-support] Getting Sage to give symbolic output with Variables

2016-06-02 Thread saad khalid
Hey everyone: So, there are some infinite sums that I would like to see computed out to around 20 terms, just so I can kind of see what form its taking. The problem is that it's a bit difficult to do by hand, and I'll be changing the parameters several times which means I would have to do it se