Sage 2.10.3 Release Tour
Sage 2.10.3 was released on 11 Mar 2008. For the official, comprehensive release notes, see the HISTORY.txt file that comes with the release.For the latest changes see[http://sagemath.org/announce/sage-2.10.3.txt sage-2.10.3.txt]. Among many other things that were done, we have the following cool new features. Of course, this list is incomplete; see the release notes for more details.
Interactive Functions
Sage now has a first version of its "interact" command. Calling "@interact" before defining a function will construct controls to graphically control the input variables of the function, making it dramatically easier to create interactive functionality that is easy to use. See [http://wiki.sagemath.org/interact] for details and examples or just type "interact?" in Sage.
Plotting
- The plot_vector_field function now takes 2-variable functions, allowing for much more complex vector fields.
sage: plot_vector_field((lambda x,y: x+y, lambda x,y: x^2*y^3), (x,-2,2), (y,-2,2))
Linear Algebra
- Matrices now have a jordan_form method which computes the Jordan canonical form.
sage: a = matrix(ZZ,4,[1, 0, 0, 0, 0, 1, 0, 0, 1,
-1, 1, 0, 1, -1, 1, 2]); a
[ 1 0 0 0]
[ 0 1 0 0]
[ 1 -1 1 0]
[ 1 -1 1 2]
sage: a.jordan_form()
[2|0 0|0]
[-+---+-]
[0|1 1|0]
[0|0 1|0]
[-+---+-]
[0|0 0|1]m = matrix(QQ<