computer algebra systems - ii. the basics of maple and...

The MAPLE SAGE Basics

Computer Algebra SystemsII. The Basics of Maple and Sage

Sándor [email protected]

http://compalg.inf.elte.hu/~czirbusz/

Department of Computer AlgebraInformatics Institute, ELTE

D2.711A

2011-2012 spring

http://compalg.inf.elte.hu/~czirbusz/


Table of Contents

1 The MAPLEMaple BasicsUsing MapleThe Help SystemDocumentation

2 SAGE BasicsSAGE basicsThe user interface of SAGEThe HELP–system of SAGEDocumentation


Maple Basics

Components

Kernel – basic functions, I/O, written in C

User InterfaceLibraryPrivate or share libraries


Maple Basics

Components

Kernel – basic functions, I/O, written in CUser Interface

LibraryPrivate or share libraries


Maple Basics

Components

Kernel – basic functions, I/O, written in CUser InterfaceLibrary

Private or share libraries


Maple Basics

Components

Kernel – basic functions, I/O, written in CUser InterfaceLibraryPrivate or share libraries


Maple Basics

ComponentsThe role of the kernel

user I/O

rational arithmeticselementary polinomyal arithmeticsfrequently used routinesstoring expressionsmemory handling


Maple Basics


user I/Orational arithmetics

elementary polinomyal arithmeticsfrequently used routinesstoring expressionsmemory handling


Maple Basics


user I/Orational arithmeticselementary polinomyal arithmetics

frequently used routinesstoring expressionsmemory handling


Maple Basics


user I/Orational arithmeticselementary polinomyal arithmeticsfrequently used routines

storing expressionsmemory handling


Maple Basics


user I/Orational arithmeticselementary polinomyal arithmeticsfrequently used routinesstoring expressions

memory handling


Maple Basics


user I/Orational arithmeticselementary polinomyal arithmeticsfrequently used routinesstoring expressionsmemory handling


Maple Basics

ComponentsThe user interface

parser

expression visualisationgraphicsHELP system


Maple Basics


parserexpression visualisation

graphicsHELP system


Maple Basics


parserexpression visualisationgraphics

HELP system


Maple Basics


parserexpression visualisationgraphicsHELP system


Maple Basics

The Libraries

Standard libraryThe mathematical knowledge in packages.

Private librariesOur and third-party packagesWe can found many examples on the site of Maple


Using Maple

Using Maple

Modes

running in command lineworksheet modedocument mode

The menu system

Classical windowing systemSome tips by preface

Making structured textDeleting output from worskhet to get lesser files


Using Maple

Using Maple

Modesrunning in command line

worksheet modedocument mode

The menu system




Using Maple

Using Maple

Modesrunning in command lineworksheet mode

document mode

The menu system




Using Maple

Using Maple

Modesrunning in command lineworksheet modedocument mode

The menu system




Using Maple

Using Maple


The menu systemClassical windowing system

Some tips by preface



Using Maple

Using Maple


The menu systemClassical windowing systemSome tips by preface



Using Maple

Using Maple



Making structured text

Deleting output from worskhet to get lesser files


Using Maple

Using Maple





The Help System

Using the Help

Quick Help - F1, only in newer versions.

From the menu systemfrom the wokset.Tip: Built-in tutorials


The Help System

Using the Help

Quick Help - F1, only in newer versions.From the menu system

from the wokset.Tip: Built-in tutorials


The Help System

Using the Help

Quick Help - F1, only in newer versions.From the menu systemfrom the wokset.

Tip: Built-in tutorials


The Help System

Using the Help

Quick Help - F1, only in newer versions.From the menu systemfrom the wokset.Tip: Built-in tutorials


The Help System

HELP from the worksheet.

The functions of HELP accessed by ?, help(..), info(..), usage(..),example(..), ?index command, similar to a hyperlinked system.

HELP function Maple commandDescription of th on-line HELP system ?helpoutline some topic ?topicexplanation of special topics ?context,topic

context [topic]context:-topic

list of HELP categories ?indexexpressions ?index,expressionlibrary functions ?index,fuctionmodules ?index,moduleall of packages ?index,packagesinformation about procedures ?index,procedureMAPLE statements ?type,statementthe fundamental data types ?type,surfacenew properties ?updates


Documentation

The documentation of Maple

Grade: 5∗

Maple site: downloadable documentation for actual ansome older versions.

Quick ReferenceUser ManualIntroductory és Advanced Programming Guide

Other literaturehttp://www.maplesoft.com/books/index.aspx

http://www.maplesoft.com/books/index.aspx


Documentation


Grade: 5∗


Quick Reference

User ManualIntroductory és Advanced Programming Guide




Documentation


Grade: 5∗


Quick ReferenceUser Manual

Introductory és Advanced Programming Guide




Documentation


Grade: 5∗


Quick ReferenceUser ManualIntroductory és Advanced Programming Guide




SAGE basics

The name of the game

Software for Algebra and Geometry ExperimentationThe system is an extended Python (v2.6.x), the commandline interface based on iPython.

To the version 4.0 the symbolical computations were madeby Maxima through the a pexpect Python modulon (It isvery clumsy, because Maxima written in Lisp)After 4.0 fthe symbolic computation made by PyNac: thisthe GiNac rewritten in Pythoninterface to many free CAS (Pari, Octave,...Accelerating: with Cyton.GUI on WEB–interface: notebook


SAGE basics


Software for Algebra and Geometry ExperimentationThe system is an extended Python (v2.6.x), the commandline interface based on iPython.To the version 4.0 the symbolical computations were madeby Maxima through the a pexpect Python modulon (It isvery clumsy, because Maxima written in Lisp)

After 4.0 fthe symbolic computation made by PyNac: thisthe GiNac rewritten in Pythoninterface to many free CAS (Pari, Octave,...Accelerating: with Cyton.GUI on WEB–interface: notebook


SAGE basics


Software for Algebra and Geometry ExperimentationThe system is an extended Python (v2.6.x), the commandline interface based on iPython.To the version 4.0 the symbolical computations were madeby Maxima through the a pexpect Python modulon (It isvery clumsy, because Maxima written in Lisp)After 4.0 fthe symbolic computation made by PyNac: thisthe GiNac rewritten in Python

interface to many free CAS (Pari, Octave,...Accelerating: with Cyton.GUI on WEB–interface: notebook


SAGE basics


Software for Algebra and Geometry ExperimentationThe system is an extended Python (v2.6.x), the commandline interface based on iPython.To the version 4.0 the symbolical computations were madeby Maxima through the a pexpect Python modulon (It isvery clumsy, because Maxima written in Lisp)After 4.0 fthe symbolic computation made by PyNac: thisthe GiNac rewritten in Pythoninterface to many free CAS (Pari, Octave,...

Accelerating: with Cyton.GUI on WEB–interface: notebook


SAGE basics


Software for Algebra and Geometry ExperimentationThe system is an extended Python (v2.6.x), the commandline interface based on iPython.To the version 4.0 the symbolical computations were madeby Maxima through the a pexpect Python modulon (It isvery clumsy, because Maxima written in Lisp)After 4.0 fthe symbolic computation made by PyNac: thisthe GiNac rewritten in Pythoninterface to many free CAS (Pari, Octave,...Accelerating: with Cyton.

GUI on WEB–interface: notebook


SAGE basics


Software for Algebra and Geometry ExperimentationThe system is an extended Python (v2.6.x), the commandline interface based on iPython.To the version 4.0 the symbolical computations were madeby Maxima through the a pexpect Python modulon (It isvery clumsy, because Maxima written in Lisp)After 4.0 fthe symbolic computation made by PyNac: thisthe GiNac rewritten in Pythoninterface to many free CAS (Pari, Octave,...Accelerating: with Cyton.GUI on WEB–interface: notebook


The user interface of SAGE

The modes

commandline

upgrading the systempartial recompilinginstalling optional packages

terminalClassical iPython-like; the debug accesible only from this mode.

GUI

In a browser with jsMathsupports not only SAGE



The modes

commandlineupgrading the system

partial recompilinginstalling optional packages


GUI




The modes

commandlineupgrading the systempartial recompiling

installing optional packages


GUI




The modes

commandlineupgrading the systempartial recompilinginstalling optional packages


GUI




The modes



GUIIn a browser with jsMath

supports not only SAGE



The modes



GUIIn a browser with jsMathsupports not only SAGE


The HELP–system of SAGE

Command–completition with the TAB–key (like in Linux).When this is not unique the HELP makes a list

It is usable from consol and from GUIUsing in form statement?it is not completed % (The SAGE terminology: doctestingcoverage)



Command–completition with the TAB–key (like in Linux).When this is not unique the HELP makes a listIt is usable from consol and from GUI

Using in form statement?it is not completed % (The SAGE terminology: doctestingcoverage)



Command–completition with the TAB–key (like in Linux).When this is not unique the HELP makes a listIt is usable from consol and from GUIUsing in form statement?

it is not completed % (The SAGE terminology: doctestingcoverage)



Command–completition with the TAB–key (like in Linux).When this is not unique the HELP makes a listIt is usable from consol and from GUIUsing in form statement?it is not completed % (The SAGE terminology: doctestingcoverage)


Documentation

Documentation

Grade: 4

Everything on the SAGE site.There are not very good tutorials. Many examples are onlyjokes.The many integrated free softwares require specialknowledge; these are not knownd by the SAGEprogrammers.The authors support own articles and books by SAGE,some of these freely downloadable.


Documentation

Documentation

Grade: 4

Everything on the SAGE site.

There are not very good tutorials. Many examples are onlyjokes.The many integrated free softwares require specialknowledge; these are not knownd by the SAGEprogrammers.The authors support own articles and books by SAGE,some of these freely downloadable.


Documentation

Documentation

Grade: 4

Everything on the SAGE site.There are not very good tutorials. Many examples are onlyjokes.

The many integrated free softwares require specialknowledge; these are not knownd by the SAGEprogrammers.The authors support own articles and books by SAGE,some of these freely downloadable.


Documentation

Documentation

Grade: 4

Everything on the SAGE site.There are not very good tutorials. Many examples are onlyjokes.The many integrated free softwares require specialknowledge; these are not knownd by the SAGEprogrammers.

The authors support own articles and books by SAGE,some of these freely downloadable.


Documentation

Documentation

Grade: 4

Everything on the SAGE site.There are not very good tutorials. Many examples are onlyjokes.The many integrated free softwares require specialknowledge; these are not knownd by the SAGEprogrammers.The authors support own articles and books by SAGE,some of these freely downloadable.

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