Sage for Mathematics : a Primer ‚æ1Łfl - Sage ‡ð™m‡é

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1 .. / JST CREST. [email protected] / IIJ Shun ichi Yokoyama (IMI/JST CREST) at IIJ January 15th, / 23

2 1 Sage Sage Sage Notebook Sage Salvus 2 Sage Sage Cryptosystem Sage Shun ichi Yokoyama (IMI/JST CREST) at IIJ January 15th, / 23

3 Shun ichi Yokoyama (IMI/JST CREST) at IIJ January 15th, / 23

4 Sage William Stein Magma, Maple, Mathematica, Matlab etc., Shun ichi Yokoyama (IMI/JST CREST) at IIJ January 15th, / 23

5 UI GMP, MPFR, Givaro Singular (libsingular) LinBox, M4RI, IML, fplll GnuTLS, PyCrypto FLINT-QS, ECM GAP NetworkX Pari, NTL, FLINT, mwrank GSL, Numpy, Scipy Maxima, Sympy Sage Notebook, jsmath, Moin wiki, IPython Matplotlib, Tachyon, libgd, Java3d Twisted ZODB, SQLite, Python Pickles Shun ichi Yokoyama (IMI/JST CREST) at IIJ January 15th, / 23

6 F 2 e (1 e 10) M4RI, M4RIE F p (3 p 2 22, prime) LinBox F p k (generic) Q, Z LinBox, Pari, IML, NTL R, C (default: 53-bit) NumPy + ATLAS K[x] (univar.) (generic) K[x 0, x 1,..., x n 1 ] (multivar.) Singular (generic) (provided by Martin Albrecht) Shun ichi Yokoyama (IMI/JST CREST) at IIJ January 15th, / 23

7 Shun ichi Yokoyama (IMI/JST CREST) at IIJ January 15th, / 23

8 Shun ichi Yokoyama (IMI/JST CREST) at IIJ January 15th, / 23

9 Python 2 3 Matplotlib 3 Stein 2012/03/10 Have you ever wondered how difficult it might be to switch Sage from Python 2.7 to Python 3.x? Shun ichi Yokoyama (IMI/JST CREST) at IIJ January 15th, / 23

10 A survey on Python 3.x Dependencies Draza Miloshevich and Nason Waniska Stein Shun ichi Yokoyama (IMI/JST CREST) at IIJ January 15th, / 23

11 26, KAIST Yongbok Nanyang Technological University Indian Institute of Technology Madras Yandex Tsinghua University 1 1 WIDE project / Shun ichi Yokoyama (IMI/JST CREST) at IIJ January 15th, / 23

12 Python CAS Sage or Sage Notebook Sage-interact Emacs Sage-mode optional package Shun ichi Yokoyama (IMI/JST CREST) at IIJ January 15th, / 23

13 for Mac OS / Linux ver. 5.4 for Windows VirtualBox Linux, Linux Sage MathLibre, Sage Notebook Windows 7 Sage Sage. CUI. localhost:8000,. for ios / Android OS Sage Math Shun ichi Yokoyama (IMI/JST CREST) at IIJ January 15th, / 23

14 Sage Math for ios by Ivan Andrus Sage, Sage Notebook Android OS sagemath.org, β Shun ichi Yokoyama (IMI/JST CREST) at IIJ January 15th, / 23

15 Android OS CAS Maxima on Android OS, Sage symbolic computation Lisp, Macsyma Google Play Shun ichi Yokoyama (IMI/JST CREST) at IIJ January 15th, / 23

16 Android OS CAS PariDroid for Android OS, Sage number theory CUI,. ISABELLE. C Pascal Pascal ARIthmetic Google Play Shun ichi Yokoyama (IMI/JST CREST) at IIJ January 15th, / 23

17 Sage Notebook 100,000.. Sage Notebook IPython - JavaScript Shun ichi Yokoyama (IMI/JST CREST) at IIJ January 15th, / 23

18 Salvus Sage Notebook.,. Salvus = Sage α - β Shun ichi Yokoyama (IMI/JST CREST) at IIJ January 15th, / 23

19 Salvus α 5, Google app engine Salvus project - Android OS Sage project Shun ichi Yokoyama (IMI/JST CREST) at IIJ January 15th, / 23

20 LMFDB The L-functions and modular forms database β Wikipedia Shun ichi Yokoyama (IMI/JST CREST) at IIJ January 15th, / 23

21 LMFDB Sage John Cremona, William Stein, Mark Watkins Jone W. Jones Conway Frank Luebeck Riemann etc. LMFDB Commit log Shun ichi Yokoyama (IMI/JST CREST) at IIJ January 15th, / 23

22 Sage Sage-Japan / Science with Python Everforth Co. Ltd. Google Group SJ 24, SwP Sage Days in Japan Shun ichi Yokoyama (IMI/JST CREST) at IIJ January 15th, / 23

23 2 Shun ichi Yokoyama (IMI/JST CREST) at IIJ January 15th, / 23

数学ソフトウェアとは? 数式処理ソフトウェア 計算機代数システム 可視化ソフトウェア 定理自動証明支援システム 数式表現システム... 数学を計算機で表現するソフトウェア

数学ソフトウェアとは? 数式処理ソフトウェア 計算機代数システム 可視化ソフトウェア 定理自動証明支援システム 数式表現システム... 数学を計算機で表現するソフトウェア 数学ソフトウェアの森 KNOP PIX/Math 濱田龍義 福岡大学 KNOPPIX/Math Project 第 7 回 代数学と計算 研究集会 (AC2007) 2007.12.6 数学ソフトウェアとは? 数式処理ソフトウェア 計算機代数システム 可視化ソフトウェア 定理自動証明支援システム 数式表現システム... 数学を計算機で表現するソフトウェア 汎用数式処理システム Mathematica

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