Re: [sage-support] Growth potential for open source math tools: 10 questions

2010-04-25 Thread David Joyner
On Sun, Apr 25, 2010 at 5:53 PM, William Stein wrote: > Spammer?  Should we block this guy? I banned him. He did mention R and octave in his link but not Sage. Legit surveys usually give a lengthy explanation about how the info will be used etc. This one did not. > > > On Sunday, April 25, 201

Re: [sage-support] Growth potential for open source math tools: 10 questions

2010-04-25 Thread William Stein
Spammer? Should we block this guy? On Sunday, April 25, 2010, wrote: > > > > Is there an need for more open source math tools in > for-profit companies? If so, would targeted training and support help meet > this need while benefiting the open source community? Please sha

[sage-support] Growth potential for open source math tools: 10 questions

2010-04-25 Thread martin934
Is there an need for more open source math tools in for-profit companies? If so, would targeted training and support help meet this need while benefiting the open source community? Please share your opinions and reasoning by answering the survey questions below. I've i

[sage-support] Table of operator precedence incomplete

2010-04-25 Thread bb
operator precedence sage: 3==3+1 False Correct, because concerning to the perecedence list on http://www.sagemath.org/doc/tutorial/appendix.html + has a higher precedence than ==. The text says, that the table is based on the table in § 5.14 of the /Python Language Reference Manual/, but that

Re: [sage-support] Re: Polynomial Independence

2010-04-25 Thread Santanu Sarkar
Thank you very much for your kind help. On 25 April 2010 17:00, Simon King wrote: > On 25 Apr., 12:50, Santanu Sarkar > wrote: > > Sorry again. Dependency needs over integer. > > Probably there is a better way of doing it, but the following works: > > Transform the problem into a matrix: One ro

[sage-support] Re: Polynomial Independence

2010-04-25 Thread Simon King
On 25 Apr., 12:50, Santanu Sarkar wrote: > Sorry again. Dependency needs over integer. Probably there is a better way of doing it, but the following works: Transform the problem into a matrix: One row for each polynomial, one column for each monomial that occurs in one of the polynomials, and th

Re: [sage-support] Re: Polynomial Independence

2010-04-25 Thread Santanu Sarkar
Sorry again. Dependency needs over integer. On 25 April 2010 16:06, Simon King wrote: > Hi! > > On 25 Apr., 12:26, Santanu Sarkar > wrote: > > I want to find linear dependence of the set polynomials {f1,f2,f1*f2, > > x1*f2,x2*f2} > > 'Linear over ZZ' or 'linear over R'? > > If it is the latter,

[sage-support] Re: Polynomial Independence

2010-04-25 Thread Simon King
Hi! On 25 Apr., 12:26, Santanu Sarkar wrote: > I want to find linear dependence of the set polynomials {f1,f2,f1*f2, > x1*f2,x2*f2} 'Linear over ZZ' or 'linear over R'? If it is the latter, the following might help (but is only implemented if you have polynomials over a field, not over ZZ): sa

Re: [sage-support] Re: Polynomial Independence

2010-04-25 Thread Santanu Sarkar
Hi, No, my polynomials are not homogeneous and are of different degree. Suppose: R.=ZZ[] f1=1+x1+x2+x1*x2 f2=1+x1+x3+x1*x3 I want to find linear dependence of the set polynomials {f1,f2,f1*f2, x1*f2,x2*f2} With regards, Santanu On 25 April 2010 15:33, Simon King wrote: > Hi! > > On 25 Apr.,

[sage-support] Re: Polynomial Independence

2010-04-25 Thread Simon King
Hi! On 25 Apr., 11:41, Santanu Sarkar wrote: >  Suppose f1, f2,,f10 are polynomials over 20 variables over integers. > How one can check weather they are linearly independent or not in Sage? When you talk about linear indepence of polynomials, you probably assume that they are all homogeneou

[sage-support] Polynomial Independence

2010-04-25 Thread Santanu Sarkar
Hi, Suppose f1, f2,,f10 are polynomials over 20 variables over integers. How one can check weather they are linearly independent or not in Sage? -- To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support+unsubscr...@googl

Re: [sage-support] Large monomial exponents

2010-04-25 Thread William Stein
On Sat, Apr 24, 2010 at 10:22 PM, Robert Bradshaw wrote: > On Apr 24, 2010, at 5:36 PM, Michael Rybalkin wrote: > >> How to get monomial with large exponent in the polynomial rings? >> >> For example I hsave polynomial ring over large finite field: >> p = next_prime(10^20) >> R. = PolynomialRing(G