Maple Questions and Posts

These are Posts and Questions associated with the product, Maple

I am trying to export a 3D plot from Maple (2021) in a vector format that can be imported into Adobe Illustrator without too much trouble. The graphic artist says the PDF files are not useful (“at the base of every PDF is an image file, inside layers and layers of clipping paths; not helpful”). “SVG does not appear to produce usable vectors – well, maybe not, but the one you sent me was super difficult to wrangle”. She had hoped that EPS would be useful, but she was unable to open the EPS file I created (not enough memory).

Here is the example that I have been using as I've asked others for help with this question.

restart;
with(plots);
with(plottools);

T := torus([0, 0, 0], 1/2, 1/2);
C0 := spacecurve([cos(t), sin(t), 0], t = 0 .. 2*Pi, color = red, thickness = 9);
C1 := spacecurve([0.5*cos(t), 0.5*sin(t), 0.5], t = 0 .. 2*Pi, color = red, thickness = 9);
C2 := spacecurve([0.5*(1 + cos(t)), 0, 0.5*sin(t)], t = 0 .. Pi, color = blue, thickness = 9);
C3 := spacecurve([0.5*(-1 + cos(t)), 0, 0.5*sin(t)], t = 0 .. Pi, color = blue, thickness = 9);
Fig9510 := display([T, C0, C1, C2], view = [DEFAULT, DEFAULT, 0 .. 1/2], scaling = constrained, transparency = 0.75);

Direct links to the worksheet and the PDF, EPS, and SVG files on DropBox are provide below in the hope that something will be useful to somebody. (MaplePrimes links are provided for the MW and PDF files are also provided - but EPS and SVG files are not permitted.)

  1. 3DPlotExample.mw: https://www.dropbox.com/s/mx1hg1ntuqihnu3/3DPlotExample.mw?dl=0
  2. Fig9510.pdf: https://www.dropbox.com/s/bnzfqrh060gw84g/Fig9510.pdf?dl=0
  3. Fig9510.eps: https://www.dropbox.com/s/h9bjyn0uwm8w5ct/Fig9510.eps?dl=0
  4. Fig9510.svg: https://www.dropbox.com/s/u2xfntnqvbhu810/Fig9510.svg?dl=0

This question has been asked for more than ten years. The best solution to has been to use the command-line-interface version of Maple.

  1. Is the command-line interface still the best/only option for vector-based graphics output?
  2. If so, how do i access the command-line version of Maple 2021 on MacOS?

Hello, I have a program which works fine in maple but get stuck when I use it in maple 2021 please I need your help thank you in advance

mpprime.mw

Hi all,

This is my first time working on a problem using Maple, and I've run into some issues regarding plotting my findings. After putting in the information for the plot (p:= plot([y1], t = 0..56562.16837, y = 0.10]), I keep receiving the warning "Expecting only range variable t in expression y[1] to be plotted but found name y[1]. I attached the Maple worksheet below for more information, trying to work my way through plotting in Maple.

Worksheet.mw

Hi,

I would like the display of a piecewise-function F with DocumentTools:-Tabulate to look like the one I get with print.
How is it possible to do this?

Here is an example

restart:
with(DocumentTools):
with(DocumentTools:-Layout):

MV := kernelopts(version);
Maple 2015.2, APPLE UNIVERSAL OSX, Dec 20 2015, Build ID 1097895

# Extract the version number for subsequent use
MV := parse(substring(StringTools:-Split(convert(MV, string), ",")[1], 7..-1))

# I want to display F and G while using DocumentTools
# As you see the display of F is not very pretty.
# This is not a problem related to the "height" of the formula for G is pretty-displayed
# even if it as roughly the same "height" than F

F := piecewise(seq(op([x<k, k]), k=1..5)):
g := x -> 1/(1+x):
G := (g@@5)(x):
Tabulate([F, G]):

# using DocumentTools:-Layout doesn't help

C1 := Cell( Textfield(style=TwoDimOutput,Equation(F))):
C2 := Cell( Textfield(style=TwoDimOutput,Equation(G))):
T  := Table(Column(),Column(),
         Row( C1, C2 )
       ):

if MV < 2018 then
  InsertContent(Worksheet(Group(Input( T )))):
else
  InsertContent(Worksheet( T )):
end if;


This is what DocumentTools:-Tabulate displays


DocumentTools_piecewise.mw


TIA

The attached worksheet is a stripped down version of some notes I am creating concerning the solution of vector equations in geometric algebra.  For the purposes of explanation it is best to show the math in its conventional typeset form before showing how to solve the equations in maple. The non-excutable math is in the text which is contained in a paragraph inserted before the execution group. In the first instance, the typesetting engine seems content to leave the text alone, but in the second case (which I created in the same way) it insists on parsing the equations and generating errors. I have tried repeatedly to make the second set of equations non-executable (since in maple terms they are nonsense) to no avail.
Can anyone suggest how I can use maple's text features to make the explanatory text inert.

Note that I have included the calls to my geometric algebra module in case they have some relevance to the problem, but they will not execute without the module.

Sample worksheet:  nonexecmatherror.mw

After using Maple for about a year now, I have quite a few worksheets and documents that I have created.  Often I would like to use code that I know I wrote in a previous document but I don't remember which file that was in.  It appears that those files are in a binary format.

Is there a Maple search utility or another way that would allow me to search a group of Mapele files for text?

Thanks,

David

Let expr defined this way

expr := piecewise(x(t)<0, -1, x(t)<1, 0, 1) + f(t) + piecewise(t<0, 0, t<1, 1, 0) + x(t)*piecewise(t<0, 1, t<1, 0, 1) + a*piecewise(t<0, 3, t<1, -1, 2)

How can I extract all the operators which contain a piecewise function of  t alone (the three bold operators in the expression above)?

TIA

I'm looking for a simple example on how to use the Edit Code Dragged (event), in a plot (embedded component). 

I couldn't find it in the Maple Documentation of elsewhere. 

Thanks,
Jos

Hi all,

Wrote some Maple code, and want to share.

I put less than eight hours into this exploration.

I have been running a computer to find Fermat factors for over ten years now.  Want support.

This is an exploration in some mostly composite whole numbers.

see 2_to_the_exponent_p_3.pdf

also see 

Maple Worksheet - Error

Failed to load the worksheet /maplenet/convert/2_to_the_exponent_p_3.mw .
 

Download 2_to_the_exponent_p_3.mw

Have a look.

Regards

 

Matt

 

 

ff := dsolve({eq1, Vt(0)=0}, Vt(t), type=numeric, method=classical, start=0, stepsize=.00001);

this is a old syntax of maple 5, with maple 2017 version it is not working, is it possible to solve non linear equatins with maple

When I click on the "install" option for the update to the Physics Package, get the following error message:

Fetching package "Physics Updates" from MapleCloud...
ID: 5137472255164416
Version: 988
URL: https://maple.cloud

An error occurred, the package was not installed: 
Unable to log into Maplesoft account: Forbidden (403)

In Maple 2021.1

restart;
int(cos(3*x)/(-(-1+8*cos(x)^2)^(1/2)+(3*cos(x)^2-sin(x)^2)^(1/2)),x)

gives

Error, (in SumTools:-DefiniteSum:-ClosedForm) numeric exception: division by zero

But in Maple 2020.2 it works OK giving an answer. (A very long one)

btw, the answer should be

3/4*arcsin(2/3*sin(x)*3^(1/2))-3/4*arctan(sin(x)/(-1+4*cos(x)^2)^(1/2))-3/4*arctan(sin(x)/(-1+8*cos(x)^2)^(1/2
))+5/8*arcsin(2/7*sin(x)*14^(1/2))*2^(1/2)-1/2*sin(x)*(-1+4*cos(x)^2)^(1/2)-1/2*sin(x)*(-1+8*cos(x)^2)^(1/2)

 

Is this a known issue? I know Maple int has went some changes and improvements in Maple 2021 from the release notes. May be this was caused by some of these changes?

https://www.maplesoft.com/products/maple/new_features/

  • Integration has been enhanced with improved algorithms for indefinite integration, and the ability to easily specify which integration method should be used and to compare the results from different methods."

Maple 2021.1 on windows 10

update July 2, 2021

These are additional failed integration in 2021.1 that throw exceptions now. no errors in 2020.2

#427
int(cos(3*x)/(-(-1+8*cos(x)^2)^(1/2)+(3*cos(x)^2-sin(x)^2)^(1/2)),x)

#533 #no error in Maple 2020, it does not evaluate there. But no error
int((-3+exp(7*x))^(2/3)/exp(2*x),x)

#26/11 #no error in Maple 2020, it does not evaluate there. But no error
int((b*x+(b^2*x^2+a)^(1/2))^(1/2)/(b^2*x^2+a)^(1/2),x)


 

Hi all,

Do some of you know the form of all primes greater than five?

Is it 6*p +/- 1?

maple_about_primes.pdf



Maple Worksheet - Error

et/convert/                                  Maple_prime_expository_number_one_for_sharing.mw .
 

Download Maple_prime_expository_number_one_for_sharing.mwmaple_about_primes.pdf

 

Regards,

Matt

 

We consider a triangle ABC, its circumscribed circle (O), of radius R, its inscribed circle (I) of centre I. We designate by α, β, γ the points of contact of BC, CA, AB with the circle (I), by A', B', C' the points of meeting other than A, B, C, of AI, BI, CI with the circle (O), by the media of BC, CA, AB.
.Establish that there is a conic (E), focus I, tangent to βγ, γα, αβ.
My code : 

restart;
with(geometry);
with(plots); _local(gamma);
_EnvHorizontalName := x; _EnvVerticalName := y;
alias(coor = coordinates);
point(A, -5, -5); point(B, 7, -1); point(C, 1, 5);
triangle(ABC, [A, B, C]); circumcircle(_O, ABC, 'centername' = OO); incircle(_I, ABC, 'centername' = Io);
line(lBC, [B, C]); sol := solve({Equation(_I), Equation(lBC)}, {x, y}); point(alpha, subs(sol, x), subs(sol, y));
line(lCA, [C, A]); sol := solve({Equation(_I), Equation(lCA)}, {x, y}); point(beta, subs(sol, x), subs(sol, y));
line(lAB, [A, B]); sol := solve({Equation(_I), Equation(lAB)}, {x, y}); point(gamma, subs(sol, x), subs(sol, y));
line(lAO, [A, OO]); intersection(Ap, lAO, lBC);
line(lBO, [B, OO]); intersection(Bp, lBO, lCA);
line(lCO, [C, OO]); intersection(Cp, lCO, lAB);
midpoint(l, B, C); midpoint(m, A, C); midpoint(n, A, B);
triangle(T, [alpha, beta, gamma]);
dr := draw([ABC(color = blue), _O(color = red), _I(color = magenta), lAO(color = black), lBO(color = black), lCO(color = black), T(color = red), alpha, beta, gamma, Ap, Bp, Cp, l, m, n], printtext = true);
display([dr], axes = normal, scaling = constrained, size = [800, 800]);
How to find the Equation of (E); Thank you.

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