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| = Sage 3.2.3 Release Tour = Sage 3.2.3 was released on FIXME. For the official, comprehensive release notes, see [[http://www.sagemath.org/src/announce/sage-3.2.3.txt|sage-3.2.3.txt]]. == Algebra == * Powers of polynomial variables (Alex Ghitza) -- Report an error message when a determinate of a (multivariate) polynomial is raised to a fractional exponent. Previously, raising a polynomial determinate to a fractional power has the effect of rounding the exponent to an integer. As yet, fractional powers is not supported. * Extensions of finite fields (Alex Ghitza) -- Implements methods {{{random_element()}}} and {{{order()}}} for quotients of polynomial rings. The method {{{random_element()}}} returns the number of elements of a quotient ring, and {{{order()}}} returns a random element of a quotient ring. * Conjugates for integer, rational and real numbers (Alex Ghitza) -- Implements trivial {{{conjugate()}}} methods for elements over the integers, rationals, and reals. Conjugates work (trivially) for matrices over rings that embed canonically into the real numbers. * Square roots of Galois field elements (John Cremona, William Stein) -- Improve the square root of an element of a Galois field {{{GF(2^e)}}}, where {{{e > 15}}}. Previously, this works fine except for the square root of 1, where 1 is an element of {{{GF(2^e)}}} for {{{e > 15}}}. == Build == == Coercion == == Commutative Algebra == == Doctest == == Documentation == == Graphics == == Interfaces == == Linear Algebra == == Miscellaneous == == Modular Forms == == Notebook == == Number Theory == == Optional Packages == == Packages == == Solaris == |
