@Bryon The wide spacing between the lines is hideous. I'm almost too embarrassed to post my neatly and painstakingly formatted code in a form where it appears so ugly.

Once again, please try to emulate the spacing that's used on StackExchange.

Is Maple an "airy, light" subject? Is this a gossip forum? Is this a forum primarily for children in elementary school who use Maple? No, Maple is a serious topic which deserves a serious forum with an information density that is typical of other academic and scholarly websites.

Uploading a worksheet didn't work for me yesterday, but it seems to work today. I am using the same browser (FireFox) in both instances.

@Carl Love Your lack of a Reply suggests to me that you didn't understand the utter simplicity of the idea that I presented. So here's your entire worksheet done in 10 lines of code, 7 of which are simply defining the numeric values.

Unfortunately, the uploading of worksheets has been totally broken by today's MaplePrimes update. So here is the code as plain text:

restart:
Vals:= [
     varepsilon= [3.0, 18.0877 $ 7] -~ I*~[2.0, 1.1146 $ 7],
     mu=              [2.0, 1.3657 $ 7] -~ I*~[3.0, .2846 $ 7],
     f= [1.184, 8.2 $ 7]*1e9,
     d= [0.50, seq(0.15..0.27, 0.03), 0.31, 0.34]*1e-2 / c,
     c= 3e8
]:
P:= (varepsilon, mu, f, d)-> sqrt(mu/varepsilon)*tanh(I*2*Pi*sqrt(mu*varepsilon)*f*d);

RL:= P-> 20*log[10](abs((P-1)/(P+1)));

(RL@P)~(eval[recurse]([varepsilon, mu, f, d], Vals)[]);

That's all there is to it!

@Joe Riel Yes, definitely, I meant to say that.

The authors should examine carefully how the Notifications flag works on StackExchange. That is the model to emulate. I currently waste so much time checking for replies to my MaplePrimes posts when there are no replies. That problem would be solved if the flag updated automatically, no page refresh needed.

@roman_pearce "Information density is low" is quite an understatement. It's lower by at least a factor of two from what it used to be, which wasn't high.

@Joe Riel Click on the text which appears not to be an active link. That'll take you to the post. There's another example of how the controls are not highlighted.

The new Notifications flag is disfunctional in several ways:

1. The notifications only apply to posts to which I am email subscribed. I don't email subscribe to anything because I don't want all that email! What I want a notification about is when someone replies to a thread that I've participated in. And I want that flag to turn orange automatically when I have a response, not requiring a page refresh!

2. The flag ceases to be orange after it has been opened, regardless of whether I have checked or dismissed the threads.

Please look at and study any StackExchange forum. Notice the vast amount of information that's on one screen? Notice the vast number of flags that update automatically? Anything that you can do to make the look and feel similar to StackExchange would be a great improvement.

@vv The randomize test that I concocted above proves beyond any reasonable doubt that the code intentionally makes a call to Maple's random number generator. So, whether some unintentional randomization is also occurring is irrelevant.

@Joe Riel Your getparams code is missing the closing )] on the seq command.

@annarita It can be done by doing a parametric plot3d for each of the six faces and then assembling the results with plots:-display:

Pz0:= plot3d([x,y,0], x= 0..1, y= 0..1, color= x^2+y^2-0^2):
Pz1:= plot3d([x,y,1], x= 0..1, y= 0..1, color= x^2+y^2-1^2):
Px0:= plot3d([0,y,z], y= 0..1, z= 0..1, color= 0^2+y^2-z^2):
Px1:= plot3d([1,y,z], y= 0..1, z= 0..1, color= 1^2+y^2-z^2):
Py0:= plot3d([x,0,z], x= 0..1, z= 0..1, color= x^2+0^2-z^2):
Py1:= plot3d([x,1,z], x= 0..1, z= 0..1, color= x^2+1^2-z^2):
plots:-display(P||(x,y,z)||(0,1));

This is the basic plot on the (one-dimensional) HUE color scale (the visual spectrum). Many variations are possible using the three-dimensional RGB or HSV color spaces. Additional options to control the grid, transparency, etc., can be added to the end of the display command.

@tomleslie Please reread what I wrote very carefully. It's only three lines. You are completely misinterpretting it. I said that in most modern languages a line break is treated the same as a space. I did not say that in most modern languages a space is treated as multiplication. Indeed, the only serious (*) general-purpose languages that I can recall where line break and space are treated differently are Fortran, Basic, Cobol, and Python and its descendents. (I'm sure that I'm missing several. I used to use Foxpro / dBase a lot, but I can't recall how the space-vs-line-break issue is handled there.) And of course I mean syntactic uses, not uses where the character---line break or space---is in a string.

(*) There's a non-serious language called Whitespace. You can look it up on Wikipedia.

@tomleslie In Maple (and I think most moderm languages), a line break is parsed just liked a space. When code using your indentation style is copy-and-pasted as 2-D Input, there is a line break, hence a space, hence an implicit multiplication, between the procedure names and their following left parenthesis.

@annarita What version of Maple are you using? You seem to "know" about the colorscheme option, yet your version of Maple doesn't seem to support it. When I run your worksheet, my version of the command produces the plot without error.

@Christian Wolinski Your use of @ contributes to the simplicity of the code. However, the terminal punctuation definitely needs to be a comma, not a semicolon. Your version of Maple doesn't use initializers in variable declarations. The following two procedures are different:

proc() local x:= 1, y:= 2; end proc:

proc() local x:= 1; y:= 2 end proc:

In the first, y is explicitly declared local. With the second, y is only implicitly declared local, with a warning message.

@vv Oh, your Answer is in Reply to YasH's Reply about Eigenvectors rather than being an answer to the OP's Question. It is confusing that you (or someone) classified it as an Answer.