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These are replies submitted by Earl

@vv Thank you once again for adding to both my Maple and math knowledge. 

BTW, the construction U^+ gives an " invalid power" error message in my Maple 2016. I changed this to Transpose(U).

@Carl Love I hope the uploaded worksheet is the kind of example you desire. If not I can copy and paste the code in a reply.


@Carl Love I have reposted OnionExtended without the reference to my personal library and fully executed with plots inline rather than in windows. I hope you can access it. I'll also do this in future uploaded worksheets.


@Kitonum Your excellent replies and posts often inspire me to interesting modifications


@Kitonum in Maple 2016:-


plot3d([op(permute([x, 1, y])[1 .. 3]), op(permute([x, 0, y])[1 .. 3])], x = 0 .. 1, y = 0 .. 1, color = [green, red, RGB(1, 0, 4), blue, grey, gold], style = surface)

@acer Your intimate knowledge of the internal workings of Maple in its various evolutions is both amazing and invaluable and I do enjoy your extended explanation.

Thank you for pursuing my query to its successful conclusion.

Perhaps this incident should convince me to buy each new year's edition of Maple!

@acer Thanks for your rapid reply. However in your worksheet the same error I originally encountered reappears when the explore command is executed, namely;

Error, (in type/satisfies) invalid input: type expects 2 arguments, but received 5

Clicking on this error message brings up a display of "There is no help for this error".

Is the error repeating because your worksheet is in a version of Maple later than my Maple 2016?

@tomleslie Here are renamed versions of the worksheets which you couldn't access. Good luck!




@tomleslie I converted the following worksheet from 2D to 1D math. Download_search.mw and Download_search2.mw failed to find the 2D version and found the 1D version.



Almost all of my worksheets are written in 2D math. Is there any code in Maple which can find specific text within them?

@acer Thanks for your information.

My worksheets are all written in 2D input.

Please see my reply to tomleslie below.

@tomleslie I thank you for your worksheet. However it did not work consistently.

Download search.mw executed against the folder containing my Maple worksheets found 6 worksheets containing "with(VariationalCalculus". Here is one worksheet that it found:


However several worksheets containing the string were not found. Here is one worksheet that it did not find:


Is there any explanation for this?

@vv I think the non-differentiable points are taken care of in my original posted worksheet.

The workwheet does not attempt to find tangency (i.e. evaluate the curve's derivative) at the outward pointing cusp. The cam follower never touches the inward pointing cusp, it would have to be a dimensionless point to do so.

@Markiyan Hirnyk Sorry, I just have not had time to give it the attention his kind response deserves. I will respond once I have the chance to go over it carefully.

@tomleslie Zooming in on the animation in your latest worksheet shows that it comes closest to a major aim of my original effort which was to have the follower circle or disk be truly tangent to the rotating cam.

This is why I used SolveEquations i.e. to attempt to find the common point of tangency between the follower disk and the cam.

I wonder if I will ever receive a reply from Sergey Moyseev.

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