{ "cells": [ { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "# [SageMath](https://www.sagemath.org) 8.2 rc2\n", "\n", "Hot off the release managers workbench!\n", "\n", "https://groups.google.com/d/topic/sage-release/FkXuk3zywpo/discussion" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "'SageMath version 8.2.rc2, Release Date: 2018-04-10'" ] }, "execution_count": 1, "metadata": { }, "output_type": "execute_result" } ], "source": [ "version()" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "For example, symbolic power of a matrix is fixed: [#25082](https://trac.sagemath.org/ticket/25082)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "%display latex" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ " $\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(\\begin{array}{rrr}\n", "2 & 1 & 0 \\\\\n", "0 & 2 & 0 \\\\\n", "0 & 0 & 3\n", "\\end{array}\\right)$ " ] }, "execution_count": 3, "metadata": { }, "output_type": "execute_result" } ], "source": [ "A = matrix(QQ, 3, [[2, 1, 0], [0, 2, 0], [0, 0, 3]])\n", "A" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ " $\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(\\begin{array}{rrr}\n", "2^{n} & 2^{n - 1} n & 0 \\\\\n", "0 & 2^{n} & 0 \\\\\n", "0 & 0 & 3^{n}\n", "\\end{array}\\right)$ " ] }, "execution_count": 4, "metadata": { }, "output_type": "execute_result" } ], "source": [ "n = var('n')\n", "A^n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ " $\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(\\begin{array}{rrr}\n", "1 & 0 & 0 \\\\\n", "1 & 2 & 0 \\\\\n", "1 & -1 & 3\n", "\\end{array}\\right)$ " ] }, "execution_count": 5, "metadata": { }, "output_type": "execute_result" } ], "source": [ "B = matrix(QQ, 3, [[1, 0, 0], [1, 2, 0], [1, -1, 3]])\n", "B" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ " $\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(\\begin{array}{rrr}\n", "1 & 0 & 0 \\\\\n", "2^{-n + 1} - 1 & 2^{-n + 1} & 0 \\\\\n", "2^{-n + 1} - 1 & -3^{-n + 1} + 2^{-n + 1} & 3^{-n + 1}\n", "\\end{array}\\right)$ " ] }, "execution_count": 6, "metadata": { }, "output_type": "execute_result" } ], "source": [ "B ^ (1-n)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "### " ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ ] } ], "metadata": { "kernelspec": { "display_name": "SageMath (Development)", "name": "sage-develop" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.14" } }, "nbformat": 4, "nbformat_minor": 0 }

SageMath 8.2 rc2