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Date: Fri, 06 Jan 2006 00:33:03 +0100
From: Gautier Write-only <gautier@fakeaddress.nil>
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Subject: Re: How to use "infinite" ?
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Date: 2006-01-06T00:33:03+01:00
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Dmitry A. Kazakov:

> You should define an abstract data type to represent the set of integer
> numbers + ideals you want (such as "negative infinity", "positive
> infinity") . For example a universal package could be generic:
> 
> generic
>    type Finite_Integer is range <>;
> package Integers_With_Infinity_Ideals is
>    type Infinite_Integer is private;
>    --
>    -- Unary operations
>    --
>    function "+" (Left : Infinite_Integer) return Infinite_Integer;
>    function "-" (Left : Infinite_Integer) return Infinite_Integer;
>    --
>    -- Dyadic operations
>    --
>    function "+" (Left : Finite_Integer; Right : Infinite_Integer)
>       return Infinite_Integer;
[...]

Great idea, you just drafted a (or the first ?) computer package for nonstandard analysis!

I strongly suggest to use the (hem...) standard wording of nonstandard analysis for the
types (unlimited, infinitesimal, etc.).
______________________________________________________________
Gautier     --     http://www.mysunrise.ch/users/gdm/index.htm
Ada programming -- http://www.mysunrise.ch/users/gdm/gsoft.htm

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