Apparently, I'm not afraid to ask silly questions... First, if someone can tell how to find out the answers by myself to some of the kinds of questions I'm asking, please let me know.
1. Is there a way around Sage's dislike for things like sin^2(x)+cos^2(x)? This doesn't bother me at all, but my students were baffled when this issue arose. Related to this, is there an way to get the typeset output equivalent to sin^2(x)+cos^2(x) that a calculus student would expect? 2. Is there a way for Sage to simplify (respectively, expand) expressions like ln(x)+ln(y) (respectively, ln(x*y)? Sage does what you would expect with trig functions using trig_expand, but I figure out how to deal with logs. 3. I'm trying to do plot some implicit functions. For example: implicit_plot(x^3+y^3-2*x*y,(x,-3,3,),(y,-3,3)) (a) Why is the aspect ratio off? (b) Is there a way to automatically display the axes? (c) Can I color implicit plots? (d) Is there a way to automatically display asymptotes (with dotted or dashed lines)? (My example has one.) 4. When to use f.somecommand() is still mysterious to me. It seems that some times, but not always, you can use somecommand(f). For example, take f=(x+1)^2 Then both integral(f,x) and f.integral(x) work. However, f.is_zero() works, but is_zero(f) does not. Can someone help me understand this (without having to learn Python; I'll do that later)? Thanks for all the help. Dana -- To post to this group, send email to [email protected] To unsubscribe from this group, send email to [email protected] For more options, visit this group at http://groups.google.com/group/sage-support URL: http://www.sagemath.org
