MaplePrimes Questions

When trying to load/import/read an MPL file with Maple 2023, I get an error message of "Error, recursive assignment" which only links to a page which states "There is no help page available for this error."

https://www.maplesoft.com/support/help/errors/view.aspx?path=Error,%20recursive%20assignment

Presumably there is an error in the Maple syntax that prevents execution, but I cannot find a way to debug.  Maple Code Editor Diagnostics says "No Errors" but Maple Code Editor Console says "Error: recursive assignment."  The MPL file is 485 lines but I am assuming the error could be anywhere in the file.  Is there any way to fix this?

Update: I found the error by copying just a handful of lines at a time into Maple until the error was reproduced.  It was a typo of just one character out of 16,960 characters.  But this is very frustrating.  Why can't Maple 2023 tell me what line the error is on?  Is there a better way to debug MPL files?

How to solve an initial value or boundary value fractional differential equation problem by Maple or, a Maple code is required for solving fractional differential initial value or boundary value problem.

 

Hi, I am creating an activity to illustrate various rotations around different axes. My goal is to enhance the display by showing the axes (one portion as a dashed line and the other as a vector) and to insert the texts (Ox, Oy, Oz) in an optimal manner. Any ideas to optimize the rendering? Thank you.

uestionRevolution.mw

Why is a change in the text area component triggering an action three times in a row?

Download ThePostmanKnocksThreeTimes.mw

When using 

with(physics)

I can enter a metric tensor. If it is the Schwarzschild metric, it is easy enough to do

Geodesics(output=solutions)

to get a general geodesic solution. But is it possible, once I have entered the metric, to numerically integrate a specific geodesic and then plot it?

In this paper (see the footnote on the page), the authors pointed out:

We use -v16 as it is faster than the -v2019 for real root isolation on our benchmarks.

Since I don't have Maple 16 at present, I cannot confirm such an assertion personally. However, I'd like to ascertain if old Maple 16 (released in 2012) is still faster in that specialized realm now (i.e., in 2023). Is there any benchmark test that supports this claim (or tells an opposite story instead?)?

Note. Here I just try to justify the authors' statement (which has caused confusion). Incidentally, will this library be a part of Maple in some future version? (I find that some recent papers provide new "powerful"—in accordance with their "Experiment" sections—Maple packages to tackle difficult problems efficaciously, but such functionalities are not built into the Maple kernel as yet. (In fact, if Maple is a single integrated all-in-one technical platform, then I will no longer need to change tools and formats at each stage. :) ))

Is it even possible to use a replacement list as attempted below to convert a z-transform to a finite difference expression?

z-transformed impulse response (`sampletime = 1/20`)

(10*exp(3/10)-7*exp(1/5)-3*exp(2/5))*exp(1/10)*U(z)/z+(exp(1/10)*(-3+10*exp(1/10)-7*exp(1/5))-(10*exp(3/10)-7*exp(1/5)-3*exp(2/5))*exp(1/10))*U(z)/z^2-(-3+10*exp(1/10)-7*exp(1/5))*exp(1/10)*U(z)/z^3 = 8*Y(z)*exp(1/10)*exp(3/10)*exp(1/5)+(8*((-exp(1/5)-exp(3/10))*exp(1/10)-exp(3/10)*exp(1/5)))*Y(z)/z+(8*(exp(1/10)+exp(1/5)+exp(3/10)))*Y(z)/z^2-8*Y(z)/z^3

(10*exp(3/10)-7*exp(1/5)-3*exp(2/5))*exp(1/10)*U(z)/z+(exp(1/10)*(-3+10*exp(1/10)-7*exp(1/5))-(10*exp(3/10)-7*exp(1/5)-3*exp(2/5))*exp(1/10))*U(z)/z^2-(-3+10*exp(1/10)-7*exp(1/5))*exp(1/10)*U(z)/z^3 = 8*Y(z)*exp(1/10)*exp(3/10)*exp(1/5)+8*((-exp(1/5)-exp(3/10))*exp(1/10)-exp(3/10)*exp(1/5))*Y(z)/z+8*(exp(1/10)+exp(1/5)+exp(3/10))*Y(z)/z^2-8*Y(z)/z^3

(1)

deg_mx := 3

3

(2)

Replacements to get finite difference equation

[seq(U(z)/z^i = U[q+1-i], i = deg_mx .. 0, -1), seq(Y(z)/z^i = Y[q+1-i], i = deg_mx .. 0, -1)]

[U(z)/z^3 = U[q-2], U(z)/z^2 = U[q-1], U(z)/z = U[q], U(z) = U[q+1], Y(z)/z^3 = Y[q-2], Y(z)/z^2 = Y[q-1], Y(z)/z = Y[q], Y(z) = Y[q+1]]

(3)

Attempt to replace

algsubs([U(z)/z^3 = U[q-2], U(z)/z^2 = U[q-1], U(z)/z = U[q], U(z) = U[q+1], Y(z)/z^3 = Y[q-2], Y(z)/z^2 = Y[q-1], Y(z)/z = Y[q], Y(z) = Y[q+1]][1], (10*exp(3/10)-7*exp(1/5)-3*exp(2/5))*exp(1/10)*U(z)/z+(exp(1/10)*(-3+10*exp(1/10)-7*exp(1/5))-(10*exp(3/10)-7*exp(1/5)-3*exp(2/5))*exp(1/10))*U(z)/z^2-(-3+10*exp(1/10)-7*exp(1/5))*exp(1/10)*U(z)/z^3 = 8*Y(z)*exp(1/10)*exp(3/10)*exp(1/5)+8*((-exp(1/5)-exp(3/10))*exp(1/10)-exp(3/10)*exp(1/5))*Y(z)/z+8*(exp(1/10)+exp(1/5)+exp(3/10))*Y(z)/z^2-8*Y(z)/z^3)

Error, (in algsubs) cannot compute degree of pattern in z

 

NULL

Download replace_Y_of_z_by_Y_of_q.mw

Dear all

I have an equation, I would like to introduce a variable R[0], how can I use subs in my equaiton 

subs_equation.mw

Thank you

This code fails in Maple 2023.  It used to work in earlier versions.  Did I miss something in the release notes?

restart;

kernelopts(version);

`Maple 2023.0, X86 64 LINUX, Mar 06 2023, Build ID 1689885`

with(plots):

setoptions3d(font=[Times,roman,12]);

arrow(<1,1,1>);

Error, (in plottools:-rotate) invalid arguments for 3-D transformation

 

Hi

How can I obtain the following equation

from

under  the condition  and  at  by Maple and what is the form of ? (All symbols are constant with respect to  except -exp(-  .
1.docx

Greetings,

I am trying to display an array of plots. I did a search and found this: "https://www.maplesoft.com/support/help/view.aspx?path=plot%2Farrayplot".

However, when I try it, I get an error message: "Error, (in plots:-display) element 1 of the rtable is not a valid plot structure".

Here's the code identical to the sample page. If I display(A__1) or display(A__2) individually, it works.

with(plots);
A := Array(1 .. 2);
A__1 := plot(sin(x), x = -Pi .. Pi, axes = framed, labels = [x, sin(x)]);
A__2 := plot(cos(x), x = -Pi .. Pi, axes = boxed, style = point);
display(A);
 

Running Maple 2023 on MacBook Pro Monterey V12.6.5 (latest as far as I know).

Thanks for any assistance.

Hello 

How to remove this error 

3d_plots.mw

The following program:

with(RealDomain):
sol1 := solve(x-1 > 0, x);
sol2 := solve(1/x^2 > 0, x);
sol3 := solve(1/(x^2-1) > 0, x);
sol4 := solve(x^2+1 > 0, x);
sol5 := solve(x^2+1 < 0, x);

Gives the following output:

sol1 := RealRange(Open(1),infinity)
sol2 := {x <> 0}
sol3 := RealRange(-infinity,Open(-1)), RealRange(Open(1),infinity)
sol4 := x
sol5 := NULL

I would like to force some consistency in the output of solve because I need to feed the output to a third-party program. For example, what's the deal with sol2 and sol3? Why are they formatted differently?

Ideally, I would like the previous output to be:

sol1 := RealRange(Open(1),infinity)
sol2 := RealRange(-infinity,Open(0)), RealRange(Open(0),infinity)
sol3 := RealRange(-infinity,Open(-1)), RealRange(Open(1),infinity)
sol4 := RealRange(-infinity,infinity)
sol5 := NULL

How do I achieve this?

I find that no matter how I modify the style in the Maple command, the LaTeX output seems to be always fixed. This is a bit frustrating. 

G:=Graph(6,{{1,2},{1,4},{4,5},{2,5},{2,3},{3,6},{5,6}});
DrawGraph(G);
vp:=[[0,0],[0.5,0],[1,0],[0,0.5],[0.5,0.5],[1,0.5]]:
SetVertexPositions(G,vp):
DrawGraph(G);

Latex(G, terminal, 100, 100)

\documentclass{amsart}
\begin{document}
\begin{picture}(100,100)
\qbezier(12.40,87.60)(12.40,50.00)(12.40,12.40)
\qbezier(12.40,87.60)(31.20,50.00)(50.00,12.40)
\qbezier(12.40,12.40)(31.20,50.00)(50.00,87.60)
\qbezier(12.40,12.40)(50.00,50.00)(87.60,87.60)
\qbezier(50.00,87.60)(68.80,50.00)(87.60,12.40)
\qbezier(50.00,12.40)(68.80,50.00)(87.60,87.60)
\qbezier(87.60,87.60)(87.60,50.00)(87.60,12.40)
\put(12.400000,87.600000){\circle*{6}}
\put(10.194,96.943){\makebox(0,0){1}}
\put(12.400000,12.400000){\circle*{6}}
\put(8.726,3.531){\makebox(0,0){2}}
\put(50.000000,87.600000){\circle*{6}}
\put(50.000,97.200){\makebox(0,0){3}}
\put(50.000000,12.400000){\circle*{6}}
\put(50.000,2.800){\makebox(0,0){4}}
\put(87.600000,87.600000){\circle*{6}}
\put(91.274,96.469){\makebox(0,0){5}}
\put(87.600000,12.400000){\circle*{6}}
\put(89.806,3.057){\makebox(0,0){6}}
\end{picture}
\end{document}

 

DrawGraph(G,
stylesheet=[vertexborder=false,vertexpadding=20,edgecolor = "Blue",
vertexcolor="Gold",edgethickness=3], font=["Courier",10],size=[180,180])

Even when I change their colors (any other thing), they always go their own way. I don't know if there is a setting that can make the LaTeX output more flexible and in line with our expectations after adjustment.

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