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From: i17@netcom.com (Valucard International)
Subject: Re: Re: metaphor of addition,subtraction,multiplication,division
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Date: Tue, 7 Jan 1997 02:05:54 GMT
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Laurent Sabarthez (vlaures@igcom.fr) wrote:

: Arithmetic-like notations are commonly used in formal syntax descriptions.

: The basis is the "concatenation product"; similarly, the selection
: operation can be viewed as a "sum". Quotients and differences are derived
: from them. The "transitive closure operator" acts much like exponentiation.


Please give an example or two of each?

arithmetic    formal       description    examples
symbol:       syntax       of operation   of use:
              operation:   on (what):

  +

  *

  -

  /

  ^           transitive
              closure
  log

  cross product

  dot product



Do any of the various "vectors" (context vector...) in computational
linguistcs form something "like" a (Linear) Vector Space ?  

Or a "Field" or "Ring" or "Group" or "Algebra" ?


Could consistent or useful meaning(s) 
then be attached to the integer multiplication table or addition table ??

(That's something that humans usually manipulate very easily. "What's 6x7 ?")



VRAI  18:02 06jan97 49lines
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