Roger,

        I tried to follow your Essay/Rank through with one
of Terrence's examples and there seems to be a missing step.
Perhaps that step has to do with the zero frame exception
which I did not delve into? More specifically, the last
executed line below, ] za=: xa,&.>ya , seems to skip the
step of showing how xa and ya are assembled: it does not
show how <7 gets converted to <7 7 7 . I am suggesting there
may be an omission, not an error, in the Essay.

        Also, btw, it appears that a typo creeped into your
first example, wherein   x *"0 1 y  should be   x *"0 _1 y
[notice that 1 should be _1].


*****Terrence's example applied to Roger's Essay follows****

   x =: i. 2 3
   y =: 7
   x,y
0 1 2
3 4 5
7 7 7

   , b. 0
_ _ _

   _ (er;fr;cs;cells) x
+-++---+-----+
|2||2 3|0 1 2|
| ||   |3 4 5|
+-++---+-----+
   _ (er;fr;cs;cells) y
+-+++-+
|0|||7|
+-+++-+
   ] xc=: _ cells x
+-----+
|0 1 2|
|3 4 5|
+-----+
   ] yc=: _ cells 7
+-+
|7|
+-+
   ] xa=: xc lag yc
+-----+
|0 1 2|
|3 4 5|
+-----+
   ] ya=: xc rag yc
+-+
|7|
+-+
   ] za=: xa,&.>ya
+-----+
|0 1 2|
|3 4 5|
|7 7 7|
+-----+

*****Terrence's example applied to Roger's Essay above ****



On Fri, 22 Jun 2007, Roger Hui wrote:

+ Your worksheet uses English prose which is difficult
+ to get precise and correct.  What is needed is an
+ expression of the ideas and rules in an executable
+ notation.  I have just the thing:
+ http://www.jsoftware.com/jwiki/Essays/Rank
+
(B=) <----------my "sig"

Brian Schott
Atlanta, GA, USA
schott DOT bee are eye eh en AT gee em ae eye el DOT com
http://schott.selfip.net/~brian/
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