[sage-support] Linear Algebra Quickref updated

2011-12-13 Thread Rob Beezer
I have updated the Linear Algebra Quick Reference card to more closely match version 4.8 and to catch up on 2.5 years worth of changes. You can find it (and others) at: http://wiki.sagemath.org/quickref Rob -- To post to this group, send email to sage-support@googlegroups.com To unsubscribe

[sage-support] Re: Taking quotient of a free group

2011-12-13 Thread John Cremona
When you factor out relations you are factoring out the normal subgroup generated by the relations, which is (or may be) bigger than just the subgroup they generate. Does that make sense? John Cremona On Dec 13, 3:12 am, syd.lavas...@gmail.com syd.lavas...@gmail.com wrote: OK I found few

[sage-support] Trigonometric linearization

2011-12-13 Thread Christophe BAL
Hello, what is the easiest way to linearize cos(x)^3 ? -- 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, visit this group at http://groups.google.com/group/sage-support

[sage-support] Re: Trigonometric linearization

2011-12-13 Thread achrzesz
sage: (cos(x)^3).reduce_trig() 1/4*cos(3*x) + 3/4*cos(x) On Dec 13, 7:45 pm, Christophe BAL projet...@gmail.com wrote: Hello, what is the easiest way to linearize cos(x)^3 ? -- To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to

Re: [sage-support] Re: Trigonometric linearization

2011-12-13 Thread Christophe BAL
Thanks a lot. Christophe 2011/12/13 achrzesz achrz...@wp.pl sage: (cos(x)^3).reduce_trig() 1/4*cos(3*x) + 3/4*cos(x) On Dec 13, 7:45 pm, Christophe BAL projet...@gmail.com wrote: Hello, what is the easiest way to linearize cos(x)^3 ? -- To post to this group, send email to

[sage-support] Re: Taking quotient of a free group

2011-12-13 Thread syd.lavas...@gmail.com
It makes lots of sense. This happens because we identifies the words in the Relation set with identity, hence by definition for each word r \in R and element a \in G we have: a r a^-1 = a 1 a^-1 = 1 and hence a r a^-1 \in R too. Thank you very much for the clarification On 13 דצמבר, 11:21, John