I want to do some timing tests on a bunch of procedures in a module, some of which call others, so I do not get the true timing I want - see attached.

Download Timing.mw

...Diophantine equation:

x^2-12*x*y+6*y^2+4*x+12*y-3=0    ?

I would appreciate some advice.

I am attaching two worksheets.  The first worksheet titled testflaw shows the original state of a module. The module in the startup code area contained two exported variables which were never implemented. The module had been used in testing the code.  The second worksheet testflaw2 shows the result after deleting the exported variables. (AsTable and TestAssociativity).  Note that when the worksheet opens a typesetting error code occurs.  It appears that the typesetting routines retain knowledge of the exported variables even after a Restart command.  

testflaw.mw    

testflaw.mw

I would like to have a list of sets and parallelize the same operation performed on each list. Any suggestions on how to do this? Thanks in advance.

Asking the small model (without including a worksheet)

what does x || (a, b, c) := y =~ x ^~ (1, 2, 3)

throws this error

Is that error message reproducible on other installations? Should be. 
Warning: The same question to the large model ate up 100000 credits. I added two more questions about operator precedence:

Reminds me of playing pinball when I was young. Either it tilts or you run out of money pretty quickly ;-)

Joking asside, any suggestions to improve my prompting to make the small model produce a correct answer?

A bundle of planes is here defined as the set of all planes in Cartesian (x, y, z)-space that intersect along the same straight line. This line is commonly referred to as the axis of the bundle. Is there an efficient method in Maple to model a bundle of planes in a simple, symbolic way?
The background to my request for advice is the following problem (for those interested in the puzzle), dating back to 1965:
Let a surface be given in Euclidean space. Suppose that every planar section of the surface is a circle, provided the section contains more than one point. Prove that the surface is a sphere.

edited:

Simple deductions are sufficient to solve the puzzle. Complex calculations are not necessary.

how we can find the X1 and X2 in such system with high degree power 

aaaa.mw

A Blog Post reminded me of an old problem from my Mathcad-days:
Given a torus and two points, P and Q, on its surface, calculate and graphically represent the shortest path from P to Q.

edited:
Can Mathcad worksheets (MC14) be converted into functional worksheets for Maple?

I've reported a Maple 2026 bug, that Maple becomed unresponsive, when using a Nvidia driver later than version 610. I described in detail, what happens and I described, that I can break down this issue to the release of the Nvidia driver.

And now I get a message, that a moderator deleted my post as SPAM? Wow! Maple is considering SPAM, when a technical issue is reported? I am completely disappointed.

deleted post:

https://www.mapleprimes.com/questions/243789-Maple-Gets-Unresponsive-With-Nvidia?sp=243789

I am delighted to share that the ExaktAI Workspace now also provides a full-featured mathematical document interface for Lean, the theorem prover and proof assistant, integrated directly with computer algebra system (CAS) computation.

The Workspace, including its Lean integration, is in free beta testing and open to everybody.

Lean files (.lean) open as Lean documents, proofs are checked step by step with goals shown under each step, CAS computations can be inserted inside proofs, and a class of CAS results can be turned into Lean theorem candidates that Lean then independently checks.

The Workspace also includes a Lean tutorial, intended to make this accessible to users who are not yet familiar with Lean syntax and workflow.

CAS computations can be inserted between Lean proof steps. A class of CAS results can also be turned into Lean theorem candidates that Lean independently checks.



Edgardo S. Cheb-Terrab
ExaktAI, Canada
Research Fellow Emeritus at Maplesoft.

The former Maple UI displayed shortcut-keys in the menu entries. There was no need to consult the help system and good overview of possible menu control alternatives was provided.

In the new ribbon interface, such hints are not given anymore (if I am not mistaken).

Suggestion:
The information of shortcut keys could be added after the mouse-over text. For example Crtl+O after "Open a file"

 

For me, attaching the shortcut-key to the corresponding menu item is the most intuitive way to look up this information. Adding text is probably less invasive then graphical design changes, hence this pragmatic suggestion.

Alternatively, AI could provide the information but simple prompts (like "shortcut to open a file in Maple" or "list all keyboard shortcuts for Maple under Windows") did not work for me. A waist of time, credits and energy for nothing. Somehow it is difficult for to todays AIs to identify that there is a help page (not easy to find for beginners and me in Maples help system, IMO) that contains all information needed:
?worksheet,reference,hotwin

What I want in fact is to do the plot in 3D that you can see by looking at the image I have insert (Gauss Fct 3D with Plane.png). The important part of the plot is to reproduce the grid of the xz plane and yz plane with the plot in bue and orange. That is what I would like to do when I plot the gaussian fct exp(-(x^2+y^2)). Can it be done?

Thank you in advance. If it is not possible, I will ask for that in the beta forum.

Mario

Procedure MassRot in this worksheet animates the motion of two beads sliding without friction on a closed wire loop.

My question is stated in comments in the procedure where the beads' Angular Momentum vectors are calculated.

Beads_sliding.mw

On my installations I can neither convert nor copy/paste code with comments from 2D-Math to 1D without loosing the comments.
Also pasting to Word removes the comments.

Is that a known behaviour? Any workarounds?

Download copy_comments.mw

In the same sheet (Engineering Notation)

you can have: 

and

and even correct formating ... 

but there is no possibility to correct anything, it just ignores the settings ... unfortunately, I am pushed to use an older version ...

Hope this will change.