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| = 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] }}} == Unified derivative syntax == The {{{derivative}}} function now accepts the same argument format across many different data types, including symbolic objects, polynomials, power series, and Laurent series. For example: {{{ sage: var("x y") (x, y) sage: f = sin(x^3 * y^2) sage: f.derivative(x, y, 2) # differentiate with respect to x, and then twice with respect to y -30*x^5*y^2*sin(x^3*y^2) - 12*x^8*y^4*cos(x^3*y^2) + 6*x^2*cos(x^3*y^2) sage: R.<t> = PowerSeriesRing(ZZ) sage: S.<u> = PowerSeriesRing(R) sage: f = t^3 * u^2 sage: f.derivative(u, t, 2) 12*t*u }}} |
