Hi William, In agreement with Nils, f.valuation() should agree with -f.degree(). This should be a valid sage session:
sage: f = x^3 + x^5 # = t^-3 + t^-5 = t^-5 (t^2 + 1) where t = 1/x sage: f.valuation() # should be the valuation at infinity with uniformizing parameter t -5 sage: f.factor() (x^2 + 1) * x^3 sage: (x^2+1).degree()*f.valuation(x^2+1) + x.degree()*f.valuation(x) + f.valuation() == 0 True The last line is the product formula (logarithmic version for valuations). In agreement with William, ord and valuation should be synonyms for both integers and polynomials. > Note that polynomial code got re-arranged some in sage-1.8.1.2, so upgrade > to that before working on this. Should read sage-1.8.2.1? But trying this on sage.math gives a TypeError rather than NotImplementedError for f.valuation(x). So maybe sage-1.8.2.2 when it is available? <type 'exceptions.TypeError'>: function takes exactly 0 arguments (1 given) --David --~--~---------~--~----~------------~-------~--~----~ To post to this group, send email to sage-devel@googlegroups.com To unsubscribe from this group, send email to [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/sage-devel URLs: http://sage.scipy.org/sage/ and http://modular.math.washington.edu/sage/ -~----------~----~----~----~------~----~------~--~---
