> I guess Excel spreadsheets are three-dimensional - row, column, and
> sheet number.
All fixed dimension representations are countable.
That means that each tuple can be mapped to a single number
like this for 2 dimensions.
.!.1..2..3..4 ...
-----------------
1!.1..2..6..7 ...
2!.3..5..8 ...
3!.4..9.13 ...
4!10.12 ...
5!11 ...
.
.
.
So in effect fixed dimension tuples are 1-dimensional ...
This remembers me on the hotel with an infinite number of rooms.
All of the rooms are booked.
1) A new guest arrives
2) a bus with infinite new guests arrives
3) infinite busses with infinity guests each arrive.
All can be helped to get a room in that hotel ...
Mit besten Gruessen / Best wishes,
Hermann Stamm-Wilbrandt
Developer, XML Compiler, L3
Fixpack team lead
WebSphere DataPower SOA Appliances
----------------------------------------------------------------------
IBM Deutschland Research & Development GmbH
Vorsitzender des Aufsichtsrats: Martin Jetter
Geschaeftsfuehrung: Dirk Wittkopp
Sitz der Gesellschaft: Boeblingen
Registergericht: Amtsgericht Stuttgart, HRB 243294
From: Michael Kay <>
To: Micah Dubinko <>,
"" <>
Date: 09/09/2010 08:53 AM
Subject: Re: [xml-dev] Holographic XML
On 07/09/2010 6:54 PM, Micah Dubinko wrote:
> XML is 1-dimensional. It is defined as a sequence of characters.
That's indeed true. Most of our programming languages and data
representation formats are one-dimensional. This is interesting, because
in the past - when people still used punched cards - two-dimensional
formats were much more popular; that is, the significance of a piece of
data was determined by two coordinates, row number and column number.
I guess Excel spreadsheets are three-dimensional - row, column, and
sheet number.
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