## TechnicalSupport

Technical Support

## 610 Reputation

14 years, 202 days
Maplesoft

## Investigation...

Update for @tomleslie: Our developers had a chance to investigate. They found that,

This is a bug that should be fixed in a future version of Maple. It is caused by the very specific situation where one of two possible variable eliminations are essentially identical, and one is chosen arbitrarily by the lexical order of the variables using the lexorder command. Since upper and lower case letters sort differently with respect to the underscore (the character with which all internal variables start) that led to the reported behavior.  That code will be changed to be less dependent on variable names.

## We're looking into it...

Thank you for the detailed report and discussion @tomleslie,

Our developers are looking into it.

## Polynomials of h*g to make F...

In the second question from the original post, if looking for polynomials h1,h2,...,h9 to make F = h1*g1 + h2*g2 ... h9*g9,

We would need to express the basis elements in terms of the original elements.

The suggested Maple becomes

```with(Groebner):
G := [g1, g2, ..., gn];
nG := numelems(G);
ord := tdeg(x,y,z); # replace x, y, z with the appropriate variables; you can also use other variable orders -- see ?Groebner,MonomialOrders
b, transform := Basis(G, ord, 'output' = 'extended');
nb := numelems(b);
# for verification - this should be all zeroes:
[seq(expand(b[i] - add(transform[i][j] * G[j], j = 1 .. nG)), i=1..nb)];

n := NormalForm(f, b, ord, 'Q');
# if n = 0 then f is in the ideal; Q is the list of coefficients w.r.t. b.
f - add(Q[i] * b[i], i = 1 .. nb); # this will be equal to n.
# Now because b[i] = add(transform[i][j] * G[j], j = 1 .. nG), we have:
# n = f - add(Q[i] * add(transform[i][j] * G[j], j = 1 .. nG), i = 1 .. nb)
# = f - add(G[j] * add(transform[i][j] * Q[i], i = 1 .. nb), j = 1 .. nG)
R := [seq(expand(add(transform[i][j] * Q[i], i = 1 .. nb)), j = 1 .. nG)];
f - add(R[j] * G[j], j = 1 .. nG); # this will be equal to n.```

## We're working on it...

Hello everyone,

We apologize for the inconvenience caused by unintended double-character inputs on MacOS.

It now looks like the issue is not isolated to Danish users, but rather users of MacOS versions 11.2 and 12.2.

If possible, users can update to other MacOS versions, i.e. 11.6 or 12.3 (beta)

The Maplesoft Development team are also looking into the issue and possible fixes for Maple 2021.2.

[Update Feb 8, 2022] Maplesoft development plans to relese an update to Maple 2021.2 products imminently to address the issue.

Please keep an eye on our Support article for all developments:

Why are Characters Typed into Maplesoft Products Doubled on Apple Systems?

[Update Feb 9,2022] See this post for details of an update to address the issue:

## We're working on it...

We're sorry to hear about trouble with double input on MacOS 12.2.

Another option for Maple is to join our beta program for access to an early release of Maple 2022, as described in our article,

[Edit Feb 8, 2022] We are no longer recommending installation of Beta versions. Maple development plans to release an update to Maple 2021.2 products imminently. The article will have the latest developments. Flow should have a similar update.

Why are Characters Typed into Maplesoft Products Doubled on Apple Systems?

We are investigating options for Maple Flow at this time.

[Update Feb 9, 2022] See this post for details of an update to address the issue:

Critical fix for Maplesoft products on macOS

## Worksheet?...

Hello @Tereso ,

Could you use the green up arrow to upload your worksheet so that the MaplePrimes community might be able to identify the issue with it?

## Thanks for the Feedback...

Thanks for the feedback on the help article @Carl Love.

Our Documentation team will look into possible improvements.

## Known issue in 2021.2...

Hi @Anthrazit ,

We apologize for the inconvenience of not being able to re-order files in the workbook navigator.

As @Scot Gould mentions, this is a known issue in Maple 2021.2. We expect it to be improved in future versions of Maple.

If anyone's interested in early access to Maple 2022, they should consider joining the beta program.

## Maple 2021.2 Update...

This problem has been fixed in the Maple 2021.2 update. Thank you for letting us know about it.

## Maple 2021.2 Update...

The correction to this problem is included in the Maple 2021.2 update. Thanks again for letting us know.

## Problem Resolved?...

Hi @Jean-Michel ,

We believe you were able to resolve this problem yourself in a parallel support case. Correct?

## Requirement?...

Are you finding there are expressions that can not be written using combinations of parentheses?

## See Help Article...

Hi @lcz ,

Do the options described in

```?GraphTheory,Layouts,Interactive Graph Layout Method
```

give you some ideas to control the styling?

## More Details...

Hi @Anthrazit ,

We're sorry to see problems saving attachments.

Could you let us know more about the reproduction steps, Maple version, operating system, etc?

Is a workbook with a file attachment called 'C' being saved, and to where?

## System Details?...

Hello @C_R ,

We're sorry to see trouble with style management dialog in Maple 2021.1.

Is this problem still encountered?

If so, on which operating system does it occur?

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