Re: How did the Spelling Police miss this one?

Chuck Ebbert (76306.1226@compuserve.com)
Thu, 24 Apr 2003 19:25:37 -0400


Al Viro wrote:

>> On the other hand, "canonicalize", while strange and new, unambiguously
>> means (b).
>>
>> Is there an already-existing word which means (b)?
>
>% webster normalize

There is a subtle difference between 'normal' and 'canonical',
but I can't quite put my finger on it. In number theory there's
a thorem that says:

Any positive integer n > 1 can be written uniquely in a
'canonical form'

n = p[1]**k[1] * p[2]**k[2] * ... * p[r]**k[r]

where, for i = 1,2,...,r, each k[i] is a positive integer
and each p[i] is a prime, with p[1] < p[2] < ... < p[r].

Note that it says 'a' canonical form, not 'the' canonical
form. I would argue that what is used in the above is 'normal
canonical form.' (And there is only one other canonical form
possible.)

------
Chuck
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