All I see is that you've defined (implicitly) a sequence of polynomials. Rings have nothing to do with it.

@dharr I just came up with that formula off the cuff. Perhaps the mean would be better in general than the midrange.

@vs140580 A good choice of scale factor for each column (whether dependent or independent) is

10.^(-ilog10@((max+min)/2.)@abs~)(Data1[.., j])

where j is the column number. This formula gives the same scale factors that @dharr used, although I don't know whether he actually used a formula or just eyeballed it.

In plain words, the formula is "Divide by the power of 10 closest to (but not exceeding) the midrange of the absolute values of the data." 

Maple supports function composition via the operator @. But I don't understand your example. Please make a simpler example that uses no variables other than the function names and their parameters. And why is the parameter T of R not used at all?

@mmcdara As far as I know, Maple has no means of plotting any solids. We only plot the surfaces that are their boundaries and imagine that the interiors are filled. When the OP specified "intersection of two solid bodies", they were asking for a means to plot the surfaces that are the boundary of that intersection. 

@mmcdara A second range argument in a 2D plot command is allowed, and its effect is similar to using that range as the view of the vertical coordinate. If the additional range is given in the form name= range, then in addition the name is used as the vertical axis label.

If a keyword parameter that take truefalse values, such as gridlines, is given without a value, that's equivalent to setting the value to true.

@nicolesharp100 See help pages ?StringTools,Regular_Expressions, ?StringTools,RegMatch, ?StringTools,RegSplit, ?StringTools,RegSub, and ?StringTools,RegSubs. The first of these pages explains the entire sublanguage called "regular expressions" (which is about twice as old as Maple).

@nicolesharp100 MaplePrimes already has tags. People just need to use them more.

@nicolesharp100 See help page ?history.

@JAMET Here it is in a worksheet:
 

Download Add_with_for.mw

Please put your Replies after the Answer that you're replying to rather than directly after your Question.

@tomleslie I agree: That other Answer shows how to get those values.

The mean and variance have different units (the variance unit is the square of the mean unit), so it makes no sense to me that you want to add the mean and variance.

@JAMET

S1 must be assigned a value (such as the 441 you showed in the Question) before using that for loop.

@emendes I added a section to my Reply above (right under its gray-background code block) to explain the "level of evaluation", the 2nd argument of the eval command (as it's used for deconstructing unevaluated expressions).

@KIRAN SAJJAN I think you need to change Ans1[j] to Ans1[k] in all the seq statements that use k as the index variable. Also, the Ans1[k], or whatever stores the dsolve solution, must be the first argument of odeplot. There are some places where you have it as the second argument.