Maple Questions and Posts

These are Posts and Questions associated with the product, Maple

Maple help pages keep getting worst with each release.

I want all input to be displayed using Maple 1D notation, so I can copy the example to my worksheet since I only use worksheet and not document (2D) mode.

So even though the first thing I do when I open help it to turn off the 

                     view->Display examples with 2D

So it is no longer checked, I still see many pages using 2D math for input. 

Here is one example ?D  page

If I copy one such input to my worksheet now it looks like this

eveything in 2D becomes ?? when I copy it.

So one can only look but not copy?

Is there any other option to make sure, really make sure, all examples have 1D as input?

The problem is that it is all not consistent. Some examples have a mix of 2D and 1D as the above page. Some are in 2D and some are in 1D.

And this is all on the same help page!

Does no one inside Maplesoft even look at their own help pages?
 

In calculation limit, signum and infinity appear!!!

Is this correct?

 

lim.mw

Dear all
I have an equation, I would like to dermine the exact solution, but maple return an error 

exact_solution.mw

Thank you

I am trying to understand under which conditions submenus disappear.

Now I have seen that the context panel is empty when submenues disappear.

Has anybody noticed the same and are there other instances when the context panel is emtpy?

Both effects could have the same rootcause.

Here is an example:
A -> no submenu

B -> Empty context panel

C -> Menu appears inside workspace (first time I see that)

 

Update

C seems to happen when the Maple window is not maximized to the full screen. -> then the context pannel becomes empty (for some reason) -> then if the Maple window is maximized to full screen we see C. Opeing new documents do not show this when toggling between and

Hi everyone,

I’m encountering an issue with Maple 2024 on my MacBook Air M1 (2020) running macOS Sonoma 14.6.1. Every time I try to log in to Maple Cloud from within the application, the entire program freezes and becomes unresponsive. I’ve tried restarting the application and my MacBook, but the problem persists.

Is anyone else experiencing similar issues with Maple 2024 on an M1 Mac running macOS Sonoma? If so, have you found any solutions or workarounds? I’ve checked for updates and even reinstalled the software, but the problem still exists.

Any help or advice would be greatly appreciated!

Thanks in advance!

This problem began about 3 nights ago.

When I load the subpackage UHG to RationalTrigonometry no warning.

When I rerun the worksheet warnings appear. If I put in arestart and reload the packages no warning. The problem only occurs with the sub packageUHG. The RationalTrigonometry package also has a few aliases.

Screen shot of one rerun  then added restart.

i have solution of ODE but again i want take derivative from solution function F then i want take reciprocal of derivative
if F'=G then i want 1/F'=1/G like that i want all solution by list and if possible don't give the parameter a sequence  it will be better

thanks for any help

K := diff(G(xi), xi $ 2) = -lambda*diff(G(xi), xi) - mu;
                 2                                    
                d                    / d        \     
          K := ----- G(xi) = -lambda |---- G(xi)| - mu
                   2                 \ dxi      /     
                dxi                                   

V:= [seq](-1..1, 1/2);
                          [    -1     1   ]
                     V := [-1, --, 0, -, 1]
                          [    2      2   ]

interface(rtablesize= nops(V)^3):
DataFrame(
    <seq(seq(<a | b | rhs(dsolve(eval(K, [lambda,mu]=~ [a,b])))>, a= V), b= V)>,
    columns= [lambda, mu, F]
);

loading

Error occurred during PDF generation. Please refresh the page and try again

*****************************

EDIT: Thanks for the help i used the restore backup feature. I made my anti virus not react to maple since i thought that might work, so far no more problems. Else this is a fix if anybody else has this problem.

******************************

Hi, so my maple freezes during simple tasks, such as trying to type something, or somtimes copying and inerting the results from a previous equation, the feature where you mark something and drag the answer to somewhere else also does this. When this happens, maple completely freezes and i'm forced to close the app with taksmanager, where i lose everything i have worked on, sometimes for the past hour because i didn't save every minute which is basically not something you can do.

Is there any fix for this or anything i can do to prevent this, cause it really sucks. 

I'm on a windows 11 with maple 2024

Hi
most of my equation when i wanna solve it is give me something like thus equation and it take a lot time to calculate and i don't get any answer after 1 hour past and still searching for finding parameter how i can do in fast way or maybe if exist  can i use mathematica or matlab is better for calculating this or not ?

F-P.mw

Hello,

How can I reduce time calculations for the integral process?

Determining H[1] and HH[1] is very boring!!

 

time_consuming_calculations.mw

Strange thing happening when changing the view zoom factor, as images are not scaling.

That makes it very difficult to generate print documents, a case we've talked about previously.

The first image is a screenshot with 100% scale factor, the other one with scale factor 400%.

One could argue, that I could switch to Print Layout Mode. But the problem there is that I don't have any view zoom factor at all.

STeM is a large INTERACTIVE Maple package and I need to allow the user to make decisions (like factor choices etc) at intermediate places in long computations. The problem is that in such long computations the "readstat" output goes below the visible screen and hence the user cannot see all the choices as they are requested before the end at which of course then it all pops up. As a very simple example consider the one line code
 
for i from 1 to 100 do x[i]:=readstat("pick a value for x: ");od;
 
After some entries the little window from readstat is visible but you cannot see the selections that you are inputing  for x[i] BEFORE termination. My problem is more complicated than this but this is the essence of it. I need to see all 100 outputs from "readstat" as you proceed in the loop. Is there a work-around or do I need to use a Maplet or whatever? If you cannot assist me, can you please indicate who can help me solve my problem. Thanks
 
 

Hello

In my last question, I asked for help converting an old Maple V3 code to the latest version. With the help of  @Rouben Rostamian, I managed to get most of the procedures working again. Unfortunately, there is one procedure that I cannot figure out how to convert. Below is the procedure, along with an example that works and one that does not.

saturbasis := proc(ps,js,ord)
 local qs,gb,zz,j,aux;
     print("ps = ",ps):
     print("js = ",js):
	 print("ord = ",ord):
     if js <> {} then
         qs := [op(ps),'`@z`.j*js[j]-1' $ ('j' = 1 .. nops(js))];print("qs = ",%):
         zz := ['`@z`.(nops(js)-j+1)' $ ('j' = 1 .. nops(js))];print("zz = ",%):
         aux:= [op(zz),'ord[nops(ord)-j+1]' $ ('j' = 1 .. nops(ord))]:print("aux = ",aux):
         gb := grobner['gbasis'](qs,aux,'plex');
         qs := [];
         for j to nops(gb) do
             if {op(zz)} minus indets(gb[j]) = {op(zz)} then
                 qs := [gb[j],op(qs)]
             fi
         od
     else qs := ps
     fi;
     qs
end proc:

First example:

ps:=[2*x1^2 + 3*x2^2 + 4*x1 + x2, x1*x3 - 3*x2 - 1, 2*x1*x4 + 3*x2 + 1]:
js:={x1}:
ord:=[x1, x2, x3, x4]:

saturbasis(ps,js,ord);
             [    2       2                                
    "ps = ", [2 x1  + 3 x2  + 4 x1 + x2, x1 x3 - 3 x2 - 1, 

                        ]
      2 x1 x4 + 3 x2 + 1]


                         "js = ", {x1}

                   "ord = ", [x1, x2, x3, x4]

             [    2       2                                
    "qs = ", [2 x1  + 3 x2  + 4 x1 + x2, x1 x3 - 3 x2 - 1, 

                                   ]
      2 x1 x4 + 3 x2 + 1, @z x1 - 1]


                         "zz = ", [@z]

                 "aux = ", [@z, x4, x3, x2, x1]

Warning, grobner[gbasis] is deprecated. Please, use Groebner[Basis].
[    2       2                                                  
[2 x1  + 3 x2  + 4 x1 + x2, x1 x3 - 3 x2 - 1, x2 x3 + 2 x1 + 4, 

           ]
  2 x4 + x3]


Second example:

ps:=[2*x1*x4^2 + 3*x1 + x4 + 6, x3*x4^3 + 2*x4^4 - 9*x3 - 18*x4, 2*x2*x4^2 + 3*x2 - 4*x4 + 1]:
js:={2*x4^2 + 3, x4^3 - 9}:
ord:={2*x4^2 + 3, x4^3 - 9}:

saturbasis(ps,js,ord);
           [       2                  
  "ps = ", [2 x1 x4  + 3 x1 + x4 + 6, 

         3       4                        2                  ]
    x3 x4  + 2 x4  - 9 x3 - 18 x4, 2 x2 x4  + 3 x2 - 4 x4 + 1]


                          /    2        3    \ 
                "js = ", { 2 x4  + 3, x4  - 9 }
                          \                  / 

                           /    2        3    \ 
                "ord = ", { 2 x4  + 3, x4  - 9 }
                           \                  / 

          [       2                  
 "qs = ", [2 x1 x4  + 3 x1 + x4 + 6, 

        3       4                        2                    
   x3 x4  + 2 x4  - 9 x3 - 18 x4, 2 x2 x4  + 3 x2 - 4 x4 + 1, 

      /    2    \           /  3    \    ]
   @z \2 x4  + 3/ - 1, 2 @z \x4  - 9/ - 1]


                      "zz = ", [2 @z, @z]

                      [            3          2    ]
            "aux = ", [2 @z, @z, x4  - 9, 2 x4  + 3]

Warning, grobner[gbasis] is deprecated. Please, use Groebner[Basis].
Error, (in grobner:-gbasis) invalid input: Groebner:-Basis expects its 2nd argument, tord1, to be of type Or(ShortMonomialOrder,name,MonomialOrder), but received plex(2*`@z`,`@z`,x4^3-9,2*x4^2+3)

I suppose that the "." is no longer used as it was back in Maple V3, and it seems that the author of the procedure was creating extra auxiliary variables to solve the problem.


What did the author use @ for creating the variables?  And how to fix the error?

Many thanks
 

I need to seperate vectors  from projective geometry vectors in my package. I am experimenting with using row and column matrices for projective points and lines reppresentation. Two approaches are use here. The 1st converts the Matrices to Vectors and back in the procedure. I dont like that way. The 2nd approach, I worked out the equivalent of CrossProduct and DotProduct for the row and column matrices. That I think is better.

1st Question are there any other approaches worth looking at?Is there something in the Physics package that could be of use?

2nd Qusetion could a new data type be made with the properties of a vector that could be displayed differently.?

Say, for a point [ x : y : z ] and a line < x : y : z >, because projecive quantities as basically ratios..


 

restart

with(LinearAlgebra):

 

#

projcross:=overload([

proc(A::Matrix(1,3),B::Matrix(1,3))
option overload;
description "join of points";
local a:=convert(A,Vector[row]),b:=convert(B,Vector[row]);
uses LinearAlgebra;
print("line thro' points");
convert((a &x b)^%T,Matrix);
end proc,

proc(A::Matrix(3,1),B::Matrix(3,1))
option overload;
description "meet of lines";
local a:=convert(A,Vector[column]),b:=convert(B,Vector[column]);
uses LinearAlgebra;
print("intersect point");
convert((a &x b)^%T,Matrix);
end proc,

proc(A::{Matrix(1,3),Matrix(3,1)},B::{Matrix(1,3),Matrix(3,1)})
option overload;
description "incidence of point and line";
uses LinearAlgebra;
local a,b;
if type(A,'Matrix'(1,3))and type(B,'Matrix'(3,1)) or type(A,'Matrix'(3,1))and type(B,'Matrix'(1,3))  then #not working
a:=convert(A,Vector[row]);
b:=convert(B,Vector[row]);
end if;
print("if = 0 coincident");
a.b ;
end proc


]):

projcross(<<1|2|4>>,<<3|-5|7>>)

"line thro' points"

 

Matrix([[34], [5], [-11]])

(1)

projcross(<<1,2,4>>,<<3,-5,7>>)

"intersect point"

 

Matrix([[34, 5, -11]])

(2)

projcross(<<1|2|4>>,<<34,5,-11>>)

"if = 0 coincident"

 

0

(3)

projcross(<<34,5,-11>> ,<<3|-5|7>> )

"if = 0 coincident"

 

0

(4)

#This section is to derive a CrossProduct and DotProduct for row and column matrix inputs

M:=<A[1,1]|A[1,2]|A[1,3]> ; #point

M := Vector[row](3, {(1) = A[1, 1], (2) = A[1, 2], (3) = A[1, 3]})

(5)

N:=<B[1,1]|B[1,2]|B[1,3]> ; #point

N := Vector[row](3, {(1) = B[1, 1], (2) = B[1, 2], (3) = B[1, 3]})

(6)

(M &x N)^%T ; #line thro' points

3

(7)

R:=<A[1,1],A[2,1],A[3,1]> ;# line

R := Vector(3, {(1) = A[1, 1], (2) = A[2, 1], (3) = A[3, 1]})

(8)

S:=<B[1,1],B[2,1],B[3,1]> ;# line

S := Vector(3, {(1) = B[1, 1], (2) = B[2, 1], (3) = B[3, 1]})

(9)

(R &x S)^%T  ;# intersect point

[`?`]

(10)

 

T:=<A[1,1]|A[1,2]|A[1,3]>  ;#point

T := Vector[row](3, {(1) = A[1, 1], (2) = A[1, 2], (3) = A[1, 3]})

(11)

U:=<B[1,1],B[2,1],B[3,1]>  ;# line

U := Vector(3, {(1) = B[1, 1], (2) = B[2, 1], (3) = B[3, 1]})

(12)

DotProduct(T,U,conjugate=false) ; #check coincidence of point and line

A[1, 1]*B[1, 1]+A[1, 2]*B[2, 1]+A[1, 3]*B[3, 1]

(13)

V:=<A[1,1],A[2,1],A[3,1]> ;# line

V := Vector(3, {(1) = A[1, 1], (2) = A[2, 1], (3) = A[3, 1]})

(14)

 

W:=<B[1,1]|B[1,2]|B[1,3]> ;#point

W := Vector[row](3, {(1) = B[1, 1], (2) = B[1, 2], (3) = B[1, 3]})

(15)

DotProduct(V,W,conjugate=false)  ; #check coincidence of line and point

A[1, 1]*B[1, 1]+A[2, 1]*B[1, 2]+A[3, 1]*B[1, 3]

(16)

# CrossProduct and DotProduct procedure for matrix inputs

 

ProjCp:=overload([

proc(a::Matrix(1,3),b::Matrix(1,3))
option overload;
description "join of points";
local A:=a,B:=b;
print("line thro' points");
<<A[1, 2]*B[1, 3] - A[1, 3]*B[1, 2],-A[1, 1]*B[1, 3] + A[1, 3]*B[1, 1],A[1, 1]*B[1, 2] - A[1, 2]*B[1, 1]>>;
end proc,

 

proc(a::Matrix(3,1),b::Matrix(3,1))
option overload;
description "meet of lines";
local A:=a,B:=b;
print("intersect point");
<<A[2, 1]*B[3, 1] - A[3, 1]*B[2, 1] | -A[1, 1]*B[3, 1] + A[3, 1]*B[1, 1] | A[1, 1]*B[2, 1] - A[2, 1]*B[1, 1] >>;
end proc,

proc(A::{Matrix(1,3),Matrix(3,1)},B::{Matrix(1,3),Matrix(3,1)})
option overload;
description "incidence of point and line";
local dp;
uses LinearAlgebra;
if type(A,'Matrix'(1,3))and type(B,'Matrix'(3,1))   then
dp:=A[1, 1]*B[1, 1] + A[1, 2]*B[2, 1] + A[1, 3]*B[3, 1];

elif type(A,'Matrix'(3,1))and type(B,'Matrix'(1,3)) then
dp:=A[1, 1]*B[1, 1] + A[2, 1]*B[1, 2] + A[3, 1]*B[1, 3];

end if;
print("if = 0 coincident");
return dp
end proc,

proc(A::{Matrix(1,3),list})
option overload;
description "convert to/from cartesian";
if type(A,'Matrix'(1,3)) and A[1,3]<>0 then
[A[1,1]/A[1,3],A[1,2]/A[1,3]];
elif A::list then
<<A[1]|A[2]|1>>;
end if;
end proc,

proc(A::{Matrix(3,1)},{vars:=[x,y]})
option overload;
description "convert to expression";

A[1,1]*vars[1]+A[2,1]*vars[2]+A[3,1];

end proc
 

]):

p1:=<<1|2|4>>:p2:=<<3|-5|7>>:p3:=a*p1-b*p2:

L1:=<<5,7,-8>>:L2:=<<-1,4,-6>>:

L3:=ProjCp(p1,p2)

"line thro' points"

 

L3 := Matrix(3, 1, {(1, 1) = 34, (2, 1) = 5, (3, 1) = -11})

(17)

ProjCp(L1,L2)

"intersect point"

 

Matrix([[-10, 38, 27]])

(18)

ProjCp(p1,L3)

"if = 0 coincident"

 

0

(19)

ProjCp(L3,p1)

"if = 0 coincident"

 

0

(20)

ProjCp(ProjCp(p1,p2),p3)

"line thro' points"

 

"if = 0 coincident"

 

0

(21)

Cartlist:=ProjCp~([p1,p2,p3])

[[1/4, 1/2], [3/7, -5/7], [(a-3*b)/(4*a-7*b), (2*a+5*b)/(4*a-7*b)]]

(22)

ProjCp~(Cartlist)

[Matrix(1, 3, {(1, 1) = 1/4, (1, 2) = 1/2, (1, 3) = 1}), Matrix(1, 3, {(1, 1) = 3/7, (1, 2) = -5/7, (1, 3) = 1}), Matrix(1, 3, {(1, 1) = (a-3*b)/(4*a-7*b), (1, 2) = (2*a+5*b)/(4*a-7*b), (1, 3) = 1})]

(23)

ProjCp~([L1,L2,L3])

[5*x+7*y-8, -x+4*y-6, 34*x+5*y-11]

(24)

 

 

 

 

 

 

 


 

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