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How to check if a parameter set is in SI base unit...

Asked by: C_R 3907
units
Yesterday at 5:08 PM
0  3

For a numericial integration I want to check if all physical parameters are given in SI base units (before stripping of the units for the integration). Right now I am doing this

restart

Parameters

H = 0.1e-1*Unit('m'), R = 0.6e-2*Unit('m'), r_sub = 0.3e-2*Unit('m'), k = .540*Unit('W'/('m'*'K')), rho = 1060.0*Unit('kg'/'m'^3), Cp = 3745*Unit('J'/('kg'*'K')), Q_flux = 5000*Unit('W'/'m'^2), T_amb = 0*Unit('K'), Nz = 20, Nr = 20, t_final = 30*Unit('s'), t_step = Unit('s'), test_1 = Unit('kW'), test_2 = 2*Unit('N')

H = 0.1e-1*Units:-Unit(m), R = 0.6e-2*Units:-Unit(m), r_sub = 0.3e-2*Units:-Unit(m), k = .540*Units:-Unit(W/(m*K)), rho = 1060.0*Units:-Unit(kg/m^3), Cp = 3745*Units:-Unit(J/(kg*K)), Q_flux = 5000*Units:-Unit(W/m^2), T_amb = 0, Nz = 20, Nr = 20, t_final = 30*Units:-Unit(s), t_step = Units:-Unit(s), test_1 = Units:-Unit(kW), test_2 = 2*Units:-Unit(N)

 (1)

H: length of rod
R: outer radius
r_sub: outer radius of heat flux
k: conductance
ρ: density
Cp: heat capacity
Q_flux: heat flux
T_amb: initial Tempearture
Nz: number of axial grid points
Nr: number of radial grid points
t_final: integration time
t_step: sampling interval for temperature fields
test_1: unit given in kilos
test_2: unit given in derived base units

alpha = k/(rho*Cp); simplify(subs(H = 0.1e-1*Units:-Unit(m), R = 0.6e-2*Units:-Unit(m), r_sub = 0.3e-2*Units:-Unit(m), k = .540*Units:-Unit(W/(m*K)), rho = 1060.0*Units:-Unit(kg/m^3), Cp = 3745*Units:-Unit(J/(kg*K)), Q_flux = 5000*Units:-Unit(W/m^2), T_amb = 0, Nz = 20, Nr = 20, t_final = 30*Units:-Unit(s), t_step = Units:-Unit(s), test_1 = Units:-Unit(kW), test_2 = 2*Units:-Unit(N), %))

alpha = 0.1360304305e-6*Units:-Unit(m^2/s)

 (2)

α: thermal diffusivity
 

One way is to check whether the value of a physical parameter has not changed after simplification

`minus`(map(convert, simplify(`~`[rhs]({Cp = 3745*Units:-Unit(J/(kg*K)), H = 0.1e-1*Units:-Unit(m), Nr = 20, Nz = 20, Q_flux = 5000*Units:-Unit(W/m^2), R = 0.6e-2*Units:-Unit(m), T_amb = 0, k = .540*Units:-Unit(W/(m*K)), r_sub = 0.3e-2*Units:-Unit(m), rho = 1060.0*Units:-Unit(kg/m^3), t_final = 30*Units:-Unit(s), t_step = Units:-Unit(s), test_1 = Units:-Unit(kW), test_2 = 2*Units:-Unit(N)})), unit_free), map(convert, `~`[rhs]({Cp = 3745*Units:-Unit(J/(kg*K)), H = 0.1e-1*Units:-Unit(m), Nr = 20, Nz = 20, Q_flux = 5000*Units:-Unit(W/m^2), R = 0.6e-2*Units:-Unit(m), T_amb = 0, k = .540*Units:-Unit(W/(m*K)), r_sub = 0.3e-2*Units:-Unit(m), rho = 1060.0*Units:-Unit(kg/m^3), t_final = 30*Units:-Unit(s), t_step = Units:-Unit(s), test_1 = Units:-Unit(kW), test_2 = 2*Units:-Unit(N)}), unit_free))

{1000}

 (3)

if is(`minus`(map(convert, simplify(`~`[rhs]({Cp = 3745*Units:-Unit(J/(kg*K)), H = 0.1e-1*Units:-Unit(m), Nr = 20, Nz = 20, Q_flux = 5000*Units:-Unit(W/m^2), R = 0.6e-2*Units:-Unit(m), T_amb = 0, k = .540*Units:-Unit(W/(m*K)), r_sub = 0.3e-2*Units:-Unit(m), rho = 1060.0*Units:-Unit(kg/m^3), t_final = 30*Units:-Unit(s), t_step = Units:-Unit(s), test_1 = Units:-Unit(kW), test_2 = 2*Units:-Unit(N)})), unit_free), map(convert, `~`[rhs]({Cp = 3745*Units:-Unit(J/(kg*K)), H = 0.1e-1*Units:-Unit(m), Nr = 20, Nz = 20, Q_flux = 5000*Units:-Unit(W/m^2), R = 0.6e-2*Units:-Unit(m), T_amb = 0, k = .540*Units:-Unit(W/(m*K)), r_sub = 0.3e-2*Units:-Unit(m), rho = 1060.0*Units:-Unit(kg/m^3), t_final = 30*Units:-Unit(s), t_step = Units:-Unit(s), test_1 = Units:-Unit(kW), test_2 = 2*Units:-Unit(N)}), unit_free)) <> {}) then print("Not all units are in SI base units") end if

"Not all units are in SI base units"

 (4)

Download check_for_SI_base_units.mw

I am interested in simpler ways to perform the test. The statement is quite long and not easy to understand.

Given the size of the unit package, there might be a command that I have overlooked to check whether units are in SI base units.

Have I missed test cases to make the check fool proof?

 

Update: A variant with split was added and attempts with functional programming

check_for_SI_base_units_02.mw

Agent Skill for Maple...

Asked by: OptimusMaplePrime 156
ai llm
July 29 2026
0  0

Has anyone developed an Agent Skill for Maple compliant with the Agent Skills Specification?

I frequently use Claude Code to create and edit Maple Documents. It does fine alone, but I found adding a script to do a syntax check eliminated a lot of content errors. I also presume some instructions on how it should read the Maple documentation will improve its reliability. Before I go about writing my own Skill against the specification, I just want to check if there is already one in use within the community.

Simplifications and substitutions...

Asked by: Ronan 1441
substitution
July 29 2026
1  2

I am trying to follow a series of substitutions used in a paper. I have given some examples of the substitutions. But I am having difficulty getting them to work. I know if all else fails I can manually recreate an expression with the substitution variables and then check backwards using eval(f,vals).
Would appreciate any insight on substitution techniques here.
 

> 

restart
> 

 

> 

sidrels := [a*c - b^2 = Delta, a + c - 2*b = d, a - b = c__bar, a - c = b__bar, c - b = a__bar];

[a*c-b^2 = Delta, a+c-2*b = d, a-b = c__bar, a-c = b__bar, c-b = a__bar]

 (1)
> 

vals:='rhs=lhs'~(sidrels)

[Delta = a*c-b^2, d = a+c-2*b, c__bar = a-b, b__bar = a-c, a__bar = c-b]

 (2)
> 

t1:=a + c - 2*b;
simplify(t1,sidrels); #this should be d

a+c-2*b

  

d

 (3)
> 

t2:=Vector[column](3, [-a + b, c - b, 0]);
simplify(t2,sidrels) ; # This should be <-c__bar,a__bar,0> or <c__bar,-a__bar,0,>r

Vector(3, {(1) = -a+b, (2) = c-b, (3) = 0})

  

Vector[column](%id = 36893490321805397396)

 (4)
> 

t3:=normal(1 - b^2/(a*c));

(a*c-b^2)/(a*c)

 (5)
> 

simplify((5),sidrels); # This should be Delta/(a*c)

Delta/(b^2+Delta)

 (6)
> 

simplify(numer((5)),sidrels,'mindeg')/(denom((5)) ); # This works
> 

 

Delta/(a*c)

 (7)
> 

t4:=[(-b^2 + b*c)/(a*c - b^2), (a*b - b^2)/(a*c - b^2)]

[(-b^2+b*c)/(a*c-b^2), (a*b-b^2)/(a*c-b^2)]

 (8)
> 

simplify(t4,sidrels,'mindeg');# this should be [(b*a__bar)/Delta, (b*b__bar)/Delta]

[-b*(-c+b)/Delta, b*(a-b)/Delta]

 (9)
> 

t5:=simplify(Vector[column](3, [3*b*c__bar - Delta, -3*a__bar*b + Delta, b*(-c__bar + a__bar)]))

Vector(3, {(1) = 3*b*c__bar-Delta, (2) = -3*a__bar*b+Delta, (3) = b*(-c__bar+a__bar)})

 (10)
> 

t5[3]:=simplify(t5[3],sidrels)  ;#This should be b*b__bar
> 

 

-a__bar^2+(2*b+d)*a__bar-Delta

 (11)
> 

t5

Vector(3, {(1) = 3*b*c__bar-Delta, (2) = -3*a__bar*b+Delta, (3) = -a__bar^2+(2*b+d)*a__bar-Delta})

 (12)
> 

subs(sidrels[-2],b*(-c__bar + a__bar))

b*(-c__bar+a__bar)

 (13)
> 

algsubs(sidrels[-2],b*(-c__bar + a__bar))

b*(-c__bar+a__bar)

 (14)
> 

 


 

Download 2026-07-29_Q_Simplifications_and_Substitutions.mw

Recalcitrant differential equation...

Asked by: Alfred_F 595
ode dsolve differential-equations
July 29 2026
1  5

In the attached file, I'd like to solve an ODE as an exercise. Only the "series" option yielded a solution. How can the length of the result series be controlled? Is there a package that leads to a "closed" solution – even using well-known transcendental functions?

restart

ode := (1+f(x))*(diff(f(x), x, x)) = 1+x

(1+f(x))*(diff(diff(f(x), x), x)) = 1+x

 (1)

ics := f(0) = 1, (D(f))(0) = 0

f(0) = 1, (D(f))(0) = 0

 (2)

dsolve({ics, ode}, f(x), series)

f(x) = series(1+(1/4)*x^2+(1/12)*x^3-(1/192)*x^4-(1/240)*x^5+O(x^6),x,6)

 (3)

``

Download test.mw

How to Import Converations from ChatGPT...

Asked by: ianmccr 190
import ai chatgpt
July 25 2026
0  3

Responses from the AI assistant in Maple2026 can be copied directly into a Maple Document or Worksheet, Is there a process which allows one to similarly import a external ChatGPT conversation. I have Maple MCP configured in my ChatGPT account.

How to integrate a trig function with parameter?...

Asked by: Aliocha 80
integration trig dirichlet
July 23 2026
2  12

How to integrate this function (n::posint) :
f := (n, x) -> (1 - cos(n*x))/(1 - cos(x))

Maple is not returning a result. It seems unable to establish the connection with the Dirichlet kernel. Is there a solution that doesn't require forcing a decomposition into a sum of cosinus?

Thank you for your help.

Best regards.

Can pdsolve provide solutions for an axially heate...

Asked by: C_R 3907
pde numeric pdsolve
July 16 2026
2  27

I am pretty new to pdsolve.

?pdsolve/numeric states

PDEsys - single or set or list of time-dependent partial differential equations in two independent variables

This could be interpreted in a way that problems with 3 independent variables can be handled (time + two others).

The rest of the helppage only describes two independent variables and does not mention time.

In case the above interpretation is wrong, I have two questions:

  • If only two independent variables can be treated, why is time-depencency mentioned at all?
  • Is it possible to integrate the PDE of an axially heated rod of finite length and radius with the help of pdsolve where on one end of the rod a heat flux q=q(r) is applied?

Any links to similar problems solved with Maple (not necessary with pdsolve) are very much appreciated.

Edit: Updated BCs

PDE := diff(T(r, z, t), t) = alpha*(diff(T(r, z, t), r, r)+(diff(T(r, z, t), r))/r+diff(T(r, z, t), z, z))

diff(T(r, z, t), t) = alpha*(diff(diff(T(r, z, t), r), r)+(diff(T(r, z, t), r))/r+diff(diff(T(r, z, t), z), z))

 (1)

Updated BC

BC1 := -k*(D[2](T))(r, 0, t) = q; BC2 := (D[2](T))(r, L, t) = 0; BC3 := (D[1](T))(R, z, t) = 0; BC4 := (D[1](T))(0, z, t) = 0; IC := T(r, z, 0) = 0

T(r, z, 0) = 0

 (2)

NULL

Corrected original BC (this is a different case of constant external temperature)

BC1 := -k*(D[2](T))(r, 0, t) = q; BC2 := T(r, L, t) = 0; BC3 := T(R, z, t) = 0; BC4 := (D[1](T))(0, z, t) = 0; IC := T(r, z, 0) = 0

T(r, z, 0) = 0

 (3)

NULL

Download 2d_BVP.mw

Recurrence relations in two variables...

Asked by: Geoff 80
rsolve
July 15 2026
2  4

Can Maple solve recurrence relations involving two variables?

For example, consider the relation:

P(n, m) = p*P(n - 1, m) + (1 - p)*P(n, m - 1)

with boundary conditions:

P(n, 0) = 0, P(0, m) = 1

I’d like to know how to obtain a solution for P(n, m) in Maple.

Why does Text appear like 12 pt, with a style-set?...

Asked by: erik10 826
July 13 2026
1  2

For many years I have used my own Style Set in Maple, mainly by adding a few extra heading styles (typically coloured headings). This has worked very well.

In Maple 2026, the default body text font has been changed to DejaVu Sans. Since the mathematical notation is still displayed in a serif math font (for obvious reasons), I feel that 12 pt DejaVu Sans appears noticeably larger than the mathematics because of its relatively large x-height. To my eyes, 11 pt gives a much more harmonious balance.

I therefore tried to change the built-in Text style from 12 pt to 11 pt.

However, I noticed something very strange.

When I open Style Management, select Text, and click Modify, the Character Style dialog already shows the font size as 11 pt (see the first screenshot). Nevertheless, when I switch to Text mode and start typing, the body text is still created as 12 pt, and the toolbar also reports a font size of 12 pt.

If I create my own custom style (for example, text11) with a font size of 11 pt, it works exactly as expected.

Is the built-in Text style intentionally overridden somewhere by the default Style Set, or is this a bug?

For comparison, I have also attached a second screenshot showing the visual difference between 12 pt and 11 pt body text. In my opinion, the 11 pt version blends much better with the mathematical notation.

 

 

 

How to display Unit call, with coefficient 1?...

Asked by: C_R 3907
July 11 2026
2  8

This is about avoiding that automatic simplifcation removes a factor of "1" before a unit.

Example output with removed factors:

Readers of technical notes not familar with Maple interprete the above missing values before units as layout errors.
Also reading it (e.g. with a screen reader) sounds strange: "m_l equals kg" or "m_1 of kg".  As a work around a float one (i.e.: 1.) can be used, which in some instances does not look as nice as

To improve the above I thought of an inert "1" or an inert multiplication that could be removed by the value command in subsequent calculations (not necessarily visible in a document to the reader when the input is hidden).
I could not find a way for an inert "1". With inert multiplication using %* a grey asterix is printed

Can we make the grey multiplication symbol invisble?

Related discussion on 0 mm and 1 mm

https://www.mapleprimes.com/questions/241946-Round-With-Units#answer313597

PDF printing not working...

Asked by: C_R 3907
pdf print incomplete-question
July 10 2026
0  4

Maple 2026 print layout

PDF created with print -> Adobe pdf printer -> save to file

Is that related to the attached worksheet or my installation?
If that is not reproducible on other installations, can I someone provide a file that prints correctly to test my installation?

Anything I can do about the mixed up fonts?

pdf_print.mw

Other question: Where is the pagesetup in Maple 2026? Maple shows in the printlayout a pagebreak at about 80% of the displayed page. AI could not tell me

(edit) where the page setup is to adjust the page size.

Matt's example of an arithmetic progression

by: Mister_Matthew_abc 30 Maple 2026
July 08 2026
0  0

Hi Maple community, and all,
an arbitrary arithmetic progression, with starting value , s, 

and increasing by "a", where "a" is the value to add, every time,
so
{Arithmetic Progression} is found by calculating
s+a*index

where index is a running index 
see attached
arithmetic_progression_with_1_and_8.mw

arithmetic_progression_with_1_and_8.mw

hopefully, that is useful, as an example, of an arithmetic progression.

Regards,
Matt

eBook help video?...

Asked by: Ronan 1441
ebook incomplete-question
July 07 2026
0  0

Are there any demonstration help videos on creating an eBook? Currently I am struggling with the pages Having a laid out example would really help.  

I would like to do an eBook version of my help pages to send to some people. Hopefully I can use the current help worksheets. The are formatted based on the Maple help structure.

My currrent structure in the help section is:

Rational Trigonometry

      (about 40 help topics)

       RTProjective

       (about 20 help topics)

       UHG

       (about 20 help topics)

     Edit:- I have made a small step of progress using the " Assistant eBook template" but I am getting this error on build. I don't know how to find the cause of the error.

How do I make a single line list?...

Asked by: Mister_Matthew_abc 30
prime
July 04 2026
1  2

Hi Maple community, and all,

Have a small ask, regarding prime numbers.

see attached

vertical_list_of_prime_numbers.mw

vertical_list_of_prime_numbers.pdf

Thanks in advance.

Regards,

Matt

How to make ChatGPT use Maple via MCP...

Asked by: erik10 826
ai chatgpt mcp
July 03 2026
1  5

Dear Maple users

I am testing Maple 2026, which will be used at our school after the summer holiday. I see that AI have now found its way to Maple on a new level. AI can be used internally via the AI Assistant, but as I understand it will also be possible to let ChatGPT use Maple in order to provide an answer, instead of using it's own way to do math. I just cannot figure out how it is done. Having a school license for Maple means we take part in the Maplesoft Elite Maintenance Program (EMP). In Maple 2026 i have found Maple MCP on the "My Maple" båndet. When I click it I am however just referred to the main page of Maplesoft. My question: How can I make Maple MCP work for me?

Kind regards,

Erik V.

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