Groupings([a, b, ..., n], k)

Is there a built-in function in Maple that generates all possible groupings of the elements [a, b, ..., n] taken k at a time?

Example:

Groupings([a,b,c,d], 2)

Expected output:

[[[[a, b], c], d], [a, [[b, c], d]], [[a, [b, c]], d], [a, [b, [c, d]]], [[a, b], [c, d]]]

any idea what match fail on this example? is somethinbg wrong I am doing?

Download why_match_fail_sept_21_2025.mw

Update:
I think match can only do it if the main "variable"   is a variable and not a "function". In this example y(.) is function, so that is why it failed to match. For example this works:

A:=2*y^3+4;
match(A=k1*y^k2+k3,y,'la')

And gives true, since "y" here is not a "function".

But this makes match not very useful to use for parsing. patmatch seems a little more practical to use.

Why is maple so useless? It can't even display a simple matrix equation without hours of user/forum intervention. I've never had this problem in the past. How does anyone get any work done? See example and compare with screenshot below.   why_is_maple_so_useless.mw

The left hand side contains the correct information but won't display it when evaluated. I even tried disabling matrix scrolling.

The default font size in the code edit region box of my worksheet is too small. I would like to change it without changing font sizes outside of the code edit region. I would be glad if I could do this within an individual worksheet, but it would be better if I could make this global in Maple 2025.

There doesn't seem to be any obvious way of doing this?

I wanted to check that the input  has the pattern   symbol(symbol), which will match any of   y(x), or f(x) or A(B) and so on.

But using patmatch does not work. Using patmatch(h(z),y::symbol(x::symbol),'la');  or even patmatch(h(z),'y'::anything('x'::anything),'la'); all return false. I know I can do patmatch(h(z),func::function(name),'la'); and this returns true, but this matches h(z,r) and matches h(z,r,t) and matches h(z,r,t,u) and so on. 

I wanted to match only   SYMBOL(SYMBOL), i..e. one symbol followed by "(" followed by one symbol followed by closing ")"

For reference, this is what I am looking for 

I know I can use other ways in Maple to do this (may be typematch and and others). But wanted to see if patmatch works on this and why it is failing.

Can this be done using patmatch?

Maple 2025.1 unable to solve this ode. Sympy gives the following two solutions which Maples verifies are correct.

Any trick or option that can help dsolve find these solutions?
 

Download How_to_find_solution_sept_20_2025.mw

update:

OK, found out how. Needed transformation u(x)=sin(y(x)). Maple probably did not have this in one of the things to try.

Download How_to_find_solution_sept_20_2025_V2.mw

Maple documents appear to be an excellent way of documenting problems and procedures, and notetaking in general, but I have always found them laborious and frequently encountered problems with formatting. One may as well use Tex. This is the reason that I was struck by the ability of the GenerateDocument() procedure in the NaturalLanguage package to create Maple documents.

Is there any practical way to use NaturalLanguage for notetaking and documentation of procedures. By this I mean, the ability to input math and or explanatory text and request(direct) the AI to produce a maple document.

Suppose I have a metric g, and I want to perform a conformal transformation g = exp(2Phi(X))*g, is there a straightforward way to do this for curvature quantitieies (Christoffel, Ricci Scalar etc)? I was able to do it rather easily for the Christoffel symbols, as seen below, but it required me making a substitution for each index pair. While this isn't horrible, it would be nice if there was a way to do it without this procedure.

** Edited to make it Phi(X) 

Any thoughts appreciated, thank you!

MyConformal.mw

Hello everyone!
I have had an issue for the past weeks, where it seems like Maple has a problem identifying the correct units and also sometimes having an issue with defining a variable.

In the picture below you can see I have defined rho, m and tried to Solve V. I get m^3, which is fine but I cannot change the unit in the right bar (see picture).

I even tried to just take square root of my V to see if I could then change units. It seems like it thinks I'm playing with weight.
I even had 2 teachers trying to help me find a solution, without luck.

I have tried executing the whole document and also only bits of the document without luck.

Does anyone know this problem and has a solution?

Thanks in advance! 

- Jacob

For the derivation of the results that I need for my research, I use advanced calculus, special functions etc.

Consider a derivation of the form LHS = RHS1 = ... RHSn.

Suppose that I have a LaTeX file describing this derivation, with fine details of the derivation in notes written using pencil on paper. 

To check this derivation for errors, such as a wrong sign, I could retype LHS and RHSn into Maple and check for equality using symbolic algebra.

To provide a more detailed check of this derivation, I could type LHS, RHS1, ..., RHSn into Maple and check the sequence equalities LHS = RHS1, ..., RHS(n-1) = RHSn using symbolic algebra.

However, this is a laborious and, itself, an error-prone process.

Is there some way of submitting my LaTeX file (or its compiled version) and/or an image of my handwritten notes for checking by Maple, line-by-line, using symbolic algebra?

I'm not sure exactly when this started but maple on one of my linux machines won't print more than one row of a matrix. I get dots like this:

Note that interface(rtablesize) is [10,10]. This happens with both maple2024 and maple2025. 

On any of my other machines, maple works just fine. I have also tried deleting ~/.maple and ~/.maplesoft

Any idea why Maple dsolve can't find solution to this ode? From textbook

The strange thing, it solves if it asked for implicit solution. But the default, will give no solution.

Is this a defect? Should it not have returned the book solution automatically?   How is a user supposed to know the ode has a solution or not, if default call returns no solution?

Download dsolve_gives_no_solution_sept_2_2025.mw

The_Bohrs_Model_-_MaplePrimes.mw

Look at the equation (11) in the Maple's document. I would like to force Maple to let the variable "r" inside the squared root so to get the equation (12). Any idea of doing that?  Thank you in advance for your help.

(2500iw/(1+5iw) )+(200iw/1-10iw)+5 rationalize and simplify

I was surprised that Maple can't solve this first order ode which is exact ode.

I solved by hand and Maple says my solution is correct.

Any one can find why Maple failed to solve this and if older versions can solve it? Also tried implicit option, but that did not help.

Download maple_solving_exact_ode_august_25_2025.mw