@vv I have to iterate over the expression RC(...).

I'll try to explain.

A1 has been assigned an initial value of {1007,47} in "ord".

then A1 is turned into A1' via RC function {1004,45}.

this value of A1' is reused later on to become A1".

When I try to extract A1 from "ord" (using a do loop) for the lhs, i require it to be an unassigned "A1".

A1:=.....

@Kitonum and @Markiyan Hirnyk . The OP is using Maple 15. This version doesn't have Repeating Decimal command.

It does what I want, thankyou for your effort.  I don't fully understand your code, I would have to pick apart each line i suppose. For use at my next tea party no doubt!

@Carl Love what if the objective was within 10%, using the tolerance package purhaps?

@Kitonum vote up

@Kitonum

thx. I am trying to lookup the ans from set A, and output the correct answer [L/2],[S/2,M/2], but my code outputs

See output 11.

what have i done wrong?

 cuts_label.mw

@tomleslie Thank you. To answer your question I pretty much wanted the output to replicate the picture posted.

@Carl Love 
Thankyou. After c:= max(indices(Data, nolist));

"Error, invalid input: indices received Data, which is not valid for its 1st argument, t"

interface(rtablesize= max(26, c)):
Error, (in interface) rtablesize must be a positive integer, or infinity

I need to upgrade to M2016 I guess.

Since I posted the question I had more of a go and used SOWPODS (freely downloadable) as my dictionary. (one word length at a time)

letter_freq.mw

@Markiyan Hirnyk 

OSPD3 conflates English two letter words (what I want) with abbreviations, shorthand or acronyms.

"FT" or "BP" aren't words as such but as acronyms or abbreviations have many meanings.

https://en.oxforddictionaries.com/explore/two-letter-words

@tomleslie because I'm Australian... but I know it involves projectile motion. Thanks for fixing my worksheet, I had the Cartesian coords for Larry etc incorrect, .....

see also

http://www.mapleprimes.com/questions/119418-Interpolation-Of-3D-Data#answer119675

@Doug Meade but I get errors when I run your code in M2015.

"error: reserved word 'uses ' unexpected". and when i use with(ListTools), I get "error, unexpected local"

@vv and add8(275,572)=1067

@Carl Love it seems my error it has spread like contagion to vv and Axel!

Tom and @acer Wow.