It is true that a verb with rank k will not be applied to
k-cells if the rank of the noun is less than k (this is
obvious when k is infinite).
My approach was to define k-cell talking about nouns
only. Later, when verb rank is introduced, I point out
that if the verb rank is greater than the operand rank,
it applies to the operand in toto.
Terrence hasn't gotten that far yet, and I guess I shouldn't
be talking so much about operating on the nouns in this section.
And Oleg is right that 'elements' is a bad choice of words.
So, I propose the following wording:
A rank 3 array of shape 4 5 6 such as the one defined in C by
the declaration
int q[4][5][6];
can be thought of as an array of 4 subarrays, each with rank
2 and shape 5 6, or as a 4×5 array of subarrays, each with
rank 1 and shape 6, or as a 4×5×6 array of rank 0 atoms.
One of these subarrays is called a cell. As seen in the
example above, the axes of a cell are a suffix of the axes
of the entire array. A cell of rank k is called a k-cell:
a 0-cell is an atom, a 1-cell is a subarray of rank 1,
a 2-cell is a subarray of rank 2, and so on.
Henry Rich
> -----Original Message-----
> From: [EMAIL PROTECTED]
> [mailto:[EMAIL PROTECTED] On Behalf Of Raul Miller
> Sent: Tuesday, April 03, 2007 5:02 PM
> To: General forum
> Subject: Re: [Jgeneral] "J for C programmers" editorial corrections
>
> On 4/3/07, Terrence Brannon <[EMAIL PROTECTED]> wrote:
> > < quote
> href=http://www.jsoftware.com/help/jforc/declarations.htm#_Toc
> 141157971
> > >
> > The term cell is used to indicate the rank of the elements that will
> > be operated on. A 0-cell is an atom, a 1-cell is an element of rank
> > 1, a 2-cell is an element of rank 2, and so on.
> > < / quote >
>
> Er... Henry -- those are your words. Could you weigh in here?
>
> Thanks,
>
> --
> Raul
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