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Editor: Bill Page
Time: 2008/05/16 09:40:58 GMT-7 |
||

Note: examples of overloading in SPAD |

added:From BillPage Fri May 16 09:40:58 -0700 2008 From: Bill Page Date: Fri, 16 May 2008 09:40:58 -0700 Subject: examples of overloading in SPAD Message-ID: <20080516094058-0700@axiom-wiki.newsynthesis.org> SandBoxOverloading

This is the front page of the **SandBox?**. You can try anything you like
here but keep in mind that other people are also using these pages to
learn and experiment with Axiom and Reduce. Please be curteous to
others if you correct mistakes and try to explain what you are doing.

Normally, if you `edit`

any page on MathAction? and click
`Save`

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change is sent out to all subscribers on the axiom-developer
email list, see the [Axiom Community]?. Separate notices are
also sent to those users who `subscribe`

directly to
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If you click `Preview`

instead of `Save`

, you will get a chance
to see the result of your calculations and LaTeX? commands but
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On this page or on any other page with a name beginning with
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`Save`

only sends email notices to users who `subscribe`

directly to that specific SandBox? page. Saving and adding
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can safely use these pages for testing without disturbing
anyone who might not care to know about your experiments.

You can also create new SandBox? pages as needed just by editing this page and adding a link to the list of new page below. The link must include at least two uppercase letters and no spaces or alternatively it can be any phrase written inside [ ] brackets as long as it begins with SandBox?. When you Save this page, the link to the new page will appear with a blue question mark ? beside it. Clicking on the blue question mark ? will ask you if you wish to create a new page.

- [SandBox Aldor Category Theory]?
- based on "Prospects for Category Theory in Aldor" by Saul Youssef, 2004 http://atlas.bu.edu/~youssef/papers/math/aldor/aldor.pdf
- [SandBox Aldor Foreign]?
- Using Aldor to call external C routines
- [SandBox Aldor Generator]?
- Aldor defines a
`generator`

for type Vector - [SandBox Aldor Join and Meet]?
- Aldor has category constructor named Meet which appears to be analogous to (but opposite of) Join.
- [SandBox Aldor Semantics]?
- exports and constants
- [SandBox Aldor Sieve]?
- A prime number sieve in Aldor to count primes <= n.
- [SandBox Aldor Testing]?
- Using Aldor to write Axiom library routines
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- How fast is array access in Axiom?
- [SandBox Axiom Syntax]?
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*if**then**else* - [SandBox Boolean]?
- evaluating Boolean expressions and conditions
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`pretend`

vs. strong typing - [SandBox Categorical Relativity]?
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- A{ld,xi}o{r,m}Combinat
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SandBoxCS224?

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- A x B
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- expression in sum-of-products form
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- What is the difference?
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- Beginnings of an Emacs mode for Axiom based off of Jay's work and others
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- pdf format documents can be displayed inline
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- How do they work?
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- What are they? In Axiom functors are also called domain constructors.
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- Guessing integer sequences
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- Examples of integration in Axiom and Reduce
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- What is a "kernel"?

[SandBox kaveh]?

- [SandBox LaTeX]?
- LaTeX? commands allowed in MathAction?
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- expression manipulations
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- testing the domain of an expression
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- A->B is a type in Axiom

[MathMLFormat]?

- [SandBox Matrix]?
- Examples of working with matrices in Axiom
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- Testing the Maxima interface
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- Rings and things
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- Martin Rubey's beautiful idea about using
`extend`

to add a category to a previously defined domain. - [SandBox Noncommutative Polynomials]?
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- Simpson method
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- Computing the Pfaffian of a square matrix
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- Axiom's polynomial domains are certainly rich and complex!
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- Solving cubic polynomials
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- Reduce can use MathML? for both input and output
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- a reflection framework
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- Slides for IARD 2006: Addition of Relative Velocites is Associative
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- This is a test of Sage in MathAction?
- [SandBox Shortcoming]?
- Implementation of solve
- [SandBox Solve]?
- Solving equations
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- calculating statistics in Axiom
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- What is a SubDomain??
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- When does Axiom replace recursion with iteration?
- [SandBox Text Files]?
- How to access text files in Axiom
- [SandBox Trace Analysed]?
- Tracing can affect output of
`1::EXPR INT`

or`1::FRAC INT`

- [SandBox Units and Dimensions]?
- Scientific units and dimensions
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- Domain construction
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- Compilation speed

[SandBox Zero]?

[SandBox Axiom Strengths]?

- SandBoxJohn2?
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- Miscellaneous

[[SandBox12TestIndetAndComplex]]?

- [SandBox13]?
- Solving some nonlinear differential equations
- [SandBox DoOps]?
- used to run Axiom without actually have to have it installed!

[SandBoxKMG]?

[SandBoxDGE]?

Click on the ? to create a new page. You should also edit this page to include a description and a new empty link for the next person.

Here is a simple Axiom command:

\begin{axiom} integrate(1/(a+z^3), z=0..1,"noPole") \end{axiom}

axiomintegrate(1/(a+z^3), z=0..1,"noPole")

(1) |

Type: Union(f1: OrderedCompletion? Expression Integer,...)

And here is a REDUCE command:

\begin{reduce} load_package sfgamma; load_package defint; int(1/(a+z^3), z,0,1); \end{reduce}

load_package sfgamma; load_package defint; *** gamma declared operator *** ci already defined as operator *** si already defined as operator int(1/(a+z^3), z,0,1); | reduce |

Please review the list of [Common Mistakes]? and the list of [MathAction Problems]? if you are have never used MathAction? before. If you are learning to use Axiom and think that someone must have solved some particular problem before you, check this list of Common [Axiom Problems]?.

axiomsolve(ax+b,x)

(2) |

Type: List Equation Fraction Polynomial Integer

axiomintegrate(1/(a+z^3), z=0..1,"noPole")

(3) |

Type: Union(f1: OrderedCompletion? Expression Integer,...)

SandBoxNonAssociativeAlgebra?
Testing lexical scoping rules in SandBoxLexicalScope?.
SandBoxOverloading?

int(1/(a+z^3), z,0,1);