@maple fan You are trying to apply the paradigm of the plot command to implicitplot. There is no algorithm by which you can apply adaptive plotting to an implicit plot.

The numpoints option applies to the overall grid, not to the individual curves. One thousand points means that a 33x33 grid is overlaid on your x and y ranges, and for each cell, a check is made for each curve. At numpoints= 10000, that grid is increased to 101x101. Option gridrefine causes each cell to be further refined if it is suspected of containing a point. Please read the help page ?implicitplot. Be sure to pull down and read the Options section.

Note that your red curve is highly complex. It is quite diffiuclt to find real-valued points along the curve. Try doing it.

You probably should be using fsolve instead of solve. You can supply a guess with fsolve.

Please post your code in plaintext form or upload a worksheet.

@Axel Vogt Using 500 digits and floating-point determinant, I got the same answer.

@Markiyan Hirnyk 

You can assume that if the code is presented here in plaintext form that it's meant to be executed as 1D input.

@Arno wrote:

The fsolve command only returns 1 solution, so what I'm trying to do with the loop is to determine the first nLimit solutions > 0

There is an alternative to fsolve for exactly this situation. It's called RootFinding:-NextZero.

@nm To my reading, the OP is only interested in the unit interval, and the function is real-valued there.

@mzaman 

Let's start with the 1D input. After you've completed that we can discuss evalhf.

Go to the menu Tools -> Options -> Display -> Input Display, Select "Maple Notation". Click on the Interface tab. Go to "Default format for new worksheets". Select "Worksheet". Click on Apply Globally at the botton of the page.

Now use the 1D input worksheet that I already posted on your previous Question. Edit it to reflect the new parts of your program. When you finish that, repost it, and I'll put in the evalhf.

I can't access your paper from that website. It won't let me join as myself---it requires an institution. So, would you please provide an accessible version of your paper?

@Carl Love 

Since you claimed in your Question that e and d were inverses, I thought that you would have some response to my claim that they aren't. How did you generate e, given p, q, and d?

@Rouben Rostamian  

Okay, I see your point. I had assumed that the instructors were aware of MaplePrimes. I'll change my Answer.

Could you show an example of using the command and getting that output?

@Bendesarts 

The error message in your picture is too small to read. Would you please type it in? I think that it says that the package does not contain an angular_velocity command. The results of the with command indicate that show is the only command in the package.

Your Question contains no text and no attached file.

@Bendesarts 

There is no source code stored in the .mla file; you'll have to use a method like mine with those. If the package is claimed to be "open source", then there should be a source-code file with the package---either a plaintext file or a worksheet.

@sercan 

I haven't been able to prove the inequality with Maple or otherwise. Is this an exercise, i.e., do you know that a proof exists and you just have to find it? Or is this original research?