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



Similar documents
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

第101回 日本美容外科学会誌/nbgkp‐01(大扉)

27巻3号/FUJSYU03‐107(プログラム)

パーキンソン病治療ガイドライン2002

tnbp59-20_Web:P1/ky108679509610002943

. UNIX, Linux, KNOPPIX. C,.,., ( 1 ) p. 2

Python ( ) Anaconda 2 3 Python Python IDLE Python NumPy 6 5 matpl

Microsoft Word - hozon-fujimura-HP-伊勢工業高校における造船教育の歴史から学ぶ

Solving the Longest Oneway-ticket Problem and Enumerating Letter Graphs by Augmenting the Two Representative Approaches with ZDDs


2.2 Sage I 11 factor Sage Sage exit quit 1 sage : exit 2 Exiting Sage ( CPU time 0m0.06s, Wall time 2m8.71 s). 2.2 Sage Python Sage 1. Sage.sage 2. sa

: Shift-Return evaluate 2.3 Sage? Shift-Return abs 2 abs? 2: abs 3: fac

dプログラム_1

放射線専門医認定試験(2009・20回)/HOHS‐01(基礎一次)

USB 起動 KNOPPIX / Math / 2010 について (数式処理研究の新たな発展)

untitled

1-8 No13.ai

Python (Anaconda ) Anaconda 2 3 Python Python IDLE Python NumPy 6

A Brief Introduction to Modular Forms Computation

SHOBI_Portal_Manual

一般演題(ポスター)

cocos2d-x #cocos2d-x

HAJIMENI_56803.pdf

. KNOPPIX cloop, 700MB CD 1.8GB. DVD, KNOPPIX DVD 12GB.,.,,,. *2, KNOPPIX. 2.1 Windows Mac CD/DVD, Windows PC KNOPPIX. Apple Mac,, Mac Intel CPU



2015-s6-4g-pocket-guidebook_H1-4.indd

A B C D E F G H J K L M 1A : 45 1A : 00 1A : 15 1A : 30 1A : 45 1A : 00 1B1030 1B1045 1C1030

Microsoft Word J.^...O.|Word.i10...j.doc

BA-100_Ver3.05

WEBサービス超入門 mask.key

Linux Activities for Promoting Desktop Linux Utilization Jun Iio Research Center for Information Technology, Mitsubish

204 / CHEMISTRY & CHEMICAL INDUSTRY Vol.69-1 January

自然言語処理16_2_45

Japan Android Group / C-LIS CO., LTD. 2

ニューガラス100/100目次

10西宮市立中央病院/本文

北九州高専 志遠 第63号/表紙・表4

P-12 P P-14 P-15 P P-17 P-18 P-19 P-20 P-21 P-22

program08.pdf

IPSJ SIG Technical Report Vol.2014-EIP-63 No /2/21 1,a) Wi-Fi Probe Request MAC MAC Probe Request MAC A dynamic ads control based on tra

日本内科学会雑誌第98巻第3号

平成25年度「アウトリーチ(訪問支援)研修事業」報告書

1 (bit ) ( ) PC WS CPU IEEE754 standard ( 24bit) ( 53bit)

第52回日本生殖医学会総会・学術講演会

Cisco Meraki ios Android Web 1 1 BYOD Apple iphone CISCO MERAKI Mac Windows Windows Active Directory GPO Cisco Meraki IT Windows Mac Windows MSI Mac P

,,,, : - i -

/27 (13 8/24) (9/27) (9/27) / / / /16 12

, : GUI Web Java 2.1 GUI GUI GUI 2 y = x y = x y = x

yakuri06023‡Ì…R…s†[

2015電磁波_歯科医.rtfd

橡ボーダーライン.PDF

untitled

untitled


表紙_02



野岩鉄道の旅

(I) GotoBALS, kkimur/charpoly.html 2

STC-PC10_Ver1.01

Transcription:

.. / JST CREST. s-yokoyama@imi.kyushu-u.ac.jp 2013 1 15 / IIJ Shun ichi Yokoyama (IMI/JST CREST) at IIJ January 15th, 2013 1 / 23

1 Sage Sage Sage Notebook Sage Salvus 2 Sage Sage Cryptosystem Sage Shun ichi Yokoyama (IMI/JST CREST) at IIJ January 15th, 2013 2 / 23

http://imi.kyushu-u.ac.jp/~s-yokoyama/iijsagelec2013.html,. Shun ichi Yokoyama (IMI/JST CREST) at IIJ January 15th, 2013 3 / 23

Sage William Stein Magma, Maple, Mathematica, Matlab etc., Shun ichi Yokoyama (IMI/JST CREST) at IIJ January 15th, 2013 4 / 23

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, 2013 5 / 23

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, 2013 6 / 23

Shun ichi Yokoyama (IMI/JST CREST) at IIJ January 15th, 2013 7 / 23

Shun ichi Yokoyama (IMI/JST CREST) at IIJ January 15th, 2013 8 / 23

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, 2013 9 / 23

A survey on Python 3.x Dependencies Draza Miloshevich and Nason Waniska Stein Shun ichi Yokoyama (IMI/JST CREST) at IIJ January 15th, 2013 10 / 23

26, 7 2 2 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, 2013 11 / 23

Python CAS Sage or Sage Notebook Sage-interact Emacs Sage-mode optional package Shun ichi Yokoyama (IMI/JST CREST) at IIJ January 15th, 2013 12 / 23

for Mac OS / Linux ver. 5.4 for Windows VirtualBox Linux, Linux Sage MathLibre, Sage Notebook Windows 7 Sage http://blog.livedoor.jp/genkuroki/archives/53945688.html Sage. CUI. localhost:8000,. for ios / Android OS Sage Math Shun ichi Yokoyama (IMI/JST CREST) at IIJ January 15th, 2013 13 / 23

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, 2013 14 / 23

Android OS CAS Maxima on Android OS, Sage symbolic computation Lisp, Macsyma Google Play 4.6 5 Shun ichi Yokoyama (IMI/JST CREST) at IIJ January 15th, 2013 15 / 23

Android OS CAS PariDroid for Android OS, Sage number theory CUI,. ISABELLE. C Pascal Pascal ARIthmetic Google Play 4.9 5 Shun ichi Yokoyama (IMI/JST CREST) at IIJ January 15th, 2013 16 / 23

Sage Notebook 100,000.. Sage Notebook IPython - JavaScript Shun ichi Yokoyama (IMI/JST CREST) at IIJ January 15th, 2013 17 / 23

Salvus Sage Notebook.,. Salvus = Sage α - β 2013 1-2013 3 Shun ichi Yokoyama (IMI/JST CREST) at IIJ January 15th, 2013 18 / 23

Salvus α 5, 2012 5 Google app engine Salvus project - Android OS Sage project Shun ichi Yokoyama (IMI/JST CREST) at IIJ January 15th, 2013 19 / 23

LMFDB The L-functions and modular forms database β Wikipedia Shun ichi Yokoyama (IMI/JST CREST) at IIJ January 15th, 2013 20 / 23

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, 2013 21 / 23

Sage Sage-Japan / Science with Python Everforth Co. Ltd. Google Group SJ 24, SwP 67 2012 12 Sage Days in Japan 2012 5. 2013. Shun ichi Yokoyama (IMI/JST CREST) at IIJ January 15th, 2013 22 / 23

2 Shun ichi Yokoyama (IMI/JST CREST) at IIJ January 15th, 2013 23 / 23