I don't think "monicize" is a word. For polynomials, the function in Sage is called .monic():
sage: x=polygen(QQ) sage: p=3*x+1 sage: p.monic() x + 1/3 but I have also never heard of the use of monic for vectors. In any case, there are (at least) two possible normalizations, depending on whether you divide by the first or the last nonzero entry. The convention in Sage for homogeneous coordinates is the latter: sage: P2=ProjectiveSpace(QQ,2) sage: P2([3,4,5]) (3/5 : 4/5 : 1) so there's nothing "normal" in Sage about dividing by the first nonzero coordinate. This suggests the possibility of having both .divide_by_leading() and .divide_by_trailing(). Here one should note the existing functions for vectors which are perhaps counter-intuitive: sage: v=vector((3,4,5)) sage: v.leading_coefficient() 5 sage: v.trailing_coefficient() 3 All of this makes me thing that (especially in view of the ease of manually using the preceding two existing functions) it is not worth adding any new ones. John On 1 December 2012 02:33, Keshav Kini <keshav.k...@gmail.com> wrote: > Kannappan Sampath <kntri...@gmail.com> writes: >> Perhaps, I should explain my rationale for the terms I chose, my >> first preference is `echelonize(v)` (although I wrote it second) >> because, what the function returns amounts to its reduced row echelon >> form, if you think of it as 1 x n matrix. > > My rationale for "monicize" is the standard term from algebra, "monic > polynomial" [1], but maybe it's not so relevant here... > > [1] http://en.wikipedia.org/wiki/Monic_polynomial > > -Keshav > > -- > You received this message because you are subscribed to the Google Groups > "sage-devel" group. > To post to this group, send email to sage-devel@googlegroups.com. > To unsubscribe from this group, send email to > sage-devel+unsubscr...@googlegroups.com. > Visit this group at http://groups.google.com/group/sage-devel?hl=en. > > -- You received this message because you are subscribed to the Google Groups "sage-devel" group. To post to this group, send email to sage-devel@googlegroups.com. To unsubscribe from this group, send email to sage-devel+unsubscr...@googlegroups.com. Visit this group at http://groups.google.com/group/sage-devel?hl=en.
