kcrisman wrote : >> 3/ Object in Sage are finest than Maple way as 0*aMatrix >> > > Can you expand on what you mean by "finest"? > This calculus is maple-right but is user-discourteous.
M = matrix ([[a,b],[c,d]]) 0*M = 0 with maple, and all other systems answer matrix([[0,0],[0,0]]) Even if you explain that for maple syntax, it's normal to get 0*A = 0 because the right way is "evalm(0*M)", I repeat : "everyone thinks that 0*M = matrix 0, not number 0". This 0*XYZ=0 rule isn't fine. Only(?) an object language (as python) can treat this "multi-sens" of zero. I have an other question : how can you easily verify this theorem in sage ? M = matrix([[a,b],[c,d]]) # or an nxn matrix with any parameters... P = det (M - x*matrix ONE) # Call Cayley-Hamilton therem in France eval (P with x=M) answers matrix([[0,0],[0,0]]). I can't evaluate matrix inside expressions. It was easy to do it with mupad, The choice of the right type gives the right result in Axiom/Fricas. >> 5/ Some "basis" mathematics are missing in sage. [I don't yet have the >> complete list] >> > > Please let us know what basic math is not in Sage - it would be very > important to rectify this as soon as possible. It *is* definitely > possible that some of what you are looking for is there, but not > optimally wrapped. > The two first methods I don't find in sage was : 1/ Sum as sum(q^k, k=0..N)=(1-q^(n+1))/(1-q) and sum(x^k/k!, k=0..+oo)=e^x 2/ kernel over matrix is right, but I don't find the maple intbasis and sumbasis which build a basis for F cap G and F+G where the F and G subspaces are described by a list of vectors. But I don't implore to have all (not so) simple(?) functions as soon as possible. It's also important to take time to choose the right way or the right syntax at the first time, because it's harder to change after ! F. --~--~---------~--~----~------------~-------~--~----~ You received this message because you are subscribed to the Google Groups "sage-edu" group. To post to this group, send email to sage-edu@googlegroups.com To unsubscribe from this group, send email to sage-edu+unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-edu?hl=en -~----------~----~----~----~------~----~------~--~---
