Maple Questions and Posts

These are Posts and Questions associated with the product, Maple

I have a repetative set of parameter names used in procedures in a package. I settled on making all optional inputs in the format {name::type:=something}. Originally I wanted to use non capitalised names for the optional inputs. But the names clash with Maple commands. I have all sorts of quicky abbreviations like prnt etc. These are both messy and tacky. For many of my choices I would seem to have to use capitalised naming to give a meaningful name. The problem here is these names are used in other Maple packages. So sooner or later there is going to be a clash.

Is there a way a of handling this? Like can I defiine package parameter names? Or should I just stick with my abbreviations?

I read somewhere about this problem in the help years ago. I think Basis was the example used in different packages GroebinerBasis and Polynomial package and using PackageName:-Basis to avoid the clash with both loaded. But that is more a command level handling.

restart

 

illegal:=proc(x,y,{Point:=[symbol=solidcircle,colour=purple]},{Line:=[colour=green,thickness=2]},{Colour:="Blue"},{Scale:=5},{Print:="y"})

print("1 Point= ",Point);  #I currently use points
print("2 Line= ",Line);   #                 linetype
print("3 Colour=  ",Colour); #              clr     this has nothing to do with plotting colour
print("4 Scale= ",Scale);   #               scl   
print("5 Print= ",Print);   #               prnt
Scale*x/y
end proc

 

proc (x, y, { Colour := "Blue", Line := [colour = green, thickness = 2], Point := [symbol = solidcircle, colour = purple], Print := "y", Scale := 5 }) print("1 Point= ", Point); print("2 Line= ", Line); print("3 Colour=  ", Colour); print("4 Scale= ", Scale); print("5 Print= ", Print); Scale*x/y end proc

(1)

illegal(3,7)

"1 Point= ", [symbol = solidcircle, colour = purple]

 

"2 Line= ", [colour = green, thickness = 2]

 

"3 Colour=  ", "Blue"

 

"4 Scale= ", 5

 

"5 Print= ", "y"

 

15/7

(2)

illegal(3,7,line=[linestyle=dash,colour=black,thickness=4])

"1 Point= ", [symbol = solidcircle, colour = purple]

 

"2 Line= ", [colour = green, thickness = 2]

 

"3 Colour=  ", "Blue"

 

"4 Scale= ", 5

 

"5 Print= ", "y"

 

15/7

(3)
 

 

Download 2024-03-09_Illegal_or_Not.mw

My apologies for such a basic question. But when I do: my_function:=int((t/τ)*exp(-t/τ),t=0..infinity), I get: lim_{t-->∞} (exp(-t/τ))*τ-(t*exp(-t/τ)) + τ, which with simplify I can get to: lim_{t-->∞} (-t + τ)*(exp(-t/τ))+τ

But why doesn't Maple automatically solve this limit to τ? What do I need to do more?

Thank you for your patient help! Mischa

Want to make a rectangular graph (in the sense of Graph Theory) of 4 copies of the path A-B-C-D i.e. four rows of this path. Once the rectangular or matrix like graph is made its ediges are to be weighted as the matrix position of vertex stating from (1,1) at the upper left vertex i.e. "A". Help please.

Hi everyone! :)

I'm new to Maple, so please forgive me if the solution is obvious, but I could not find any fitting articles for my problem.

I have a transfer function and need to find the poles. Later, I want to calculate the constants to meet my filter requirements. For now, I'm focusing on getting a symbolic solution and evaluating the poles.

Here's my setup:


Here is the File NoiseFilter.mw

 

 

When I use the "evalf" function, it gives me a large sum, but I would like to get one complex numerical result.

I appreciate any help! :)

I would expect I could do

A := DataSeries([2, 3, 4], datatype = float)
B := DataSeries([1, 3, 19], datatype = float)
min~(A, B)

but the last command gives me 

Error, (in DataSeries:-min) invalid boolean expression: 2.

How do I find the element-wise min (i.e. DataSeries([1,3,4], datatype=float)) of two DataSeries?

One may easily spot that the symbols “” and “” are missing here and here

These two PDF files were printed officially, so I think they can be considered examples of best practice for the export functionality. Does this mean that this functionality is still defective in the most recent release?

Where does one find the python module "maple" used to access open maple as in https://www.maplesoft.com/support/help/maple/view.aspx?path=OpenMaple%2fPython%2fAPI ?

For t not equal to nT,   

dS/dt = delta- mu*S+ omega*V; 

 dV/dt = -(omega+mu)*V

For t=nT, 

 S(nT+)=(1-gamma) S(nT);

V(nT+)=V(nT)+ gamma* S(nT),

with the initial conditions  S(0+)=s0

V(0+)=v0

    how to plot the graph with this system of equations,impulsive points and initial conditions  

Hello,

How I can show that the value of psi 1 through method #1 is equal to that one in method #2?

is possible to verify by analytic results, not using and placing parameter's numerical values?

show.mw

I've been writing this code to simulate the orbit of Venus in a simple 2D polar plot, but it keeps telling me that I have insufficient initial conditions, here is the code:

restart:with(Physics):with(VariationalCalculus):with(plots):with(plottools):

R[V] := 0.72*AU: #`starting radius for venus`

AU := 1: #`astronomical unit`

G := 6.674*10^(-11): #`gravitational constant`

m[S] := (333*10^3)*m[E]: #`mass of the sun`

m[V] := 0.815*m[E]: #`mass of venus`

m[E] := 1: #`mass of the earth`

x[V] := t -> r[V](t)*cos(theta[V](t)): #`x-coordinate`

y[V] := t -> r[V](t)*sin(theta[V](t)): #` y-coordinate`

x[VP] := t -> diff(x[V](t), t): #` x-velocity`

y[VP] := t -> diff(y[V](t), t): #`y-velocity`

T[V] := m[V]*simplify(x[VP](t)^2 + y[VP](t)^2)/2: #`kinetic energy of the system`

V[V] := (-G)*m[V]*m[S]*1/r[V](t): #`potential energy of the system`

L[V] := T[V] - V[V]; #`lagrangian of the system`

EL[Vr] := diff(L[V], r[V](t)) - diff(diff(L[V], diff(r[V](t), t)), t) = 0: #` e-l for the r-coordinate`

EL[`Vtheta;`] := diff(L[V], theta[V](t)) - diff(diff(L[V], diff(theta[V](t), t)), t) = 0: #`e-l for the theta-coordinate`

EL[V] := [EL[Vr], EL[`Vtheta;`]]; #` system of equations`

F[V] := G*m[V]*m[S]*1/R[V]^2: #`gravitational force for venus starting position`

omega[V] := sqrt(F[V]*R[V]*1/m[V])*1/R[V]: #`angular velocity for venus starting position`

IC[V] := [r[V](0) = R[V], D(r[V])(0) = 0, theta[V](0) = 0, D(theta[V])(0) = omega[V]]; #`initial conditions, r-position, r-velocity, theta-position, theta-velocity`

SOL := dsolve(EL[V], IC[V], [r[V](t), theta[V](t)], numeric, output = listprocedure); #`numerical solution`

Error, (in dsolve/numeric/type_check) insufficient initial/boundary value information for procedure defined problem
 

I have included both the initial values for r,dr/dt, theta and dtheta/dt.

I'm not sure what other initial conditions I could be missing?

Currently, a stand-alone or embeddable Python is by default bundled with Maple and is installed silently (namely, without notification) when installing Maple, but why is there no prompt panel asking for Python configuration (just like Why does Maple ask for a Matlab installation when I install it? and Configuring the Maple Kernel for Jupyter)? 
Actually, I am wondering why I am not capable of installing Maple without bundling Python (even if I am able to clear those files in $MAPLE/Python.$SYS later). In my opinion, a bundling Python suite is more or less unnecessary; wouldn't it be better to provide a tooltip asking for approval? If one really need to interact with Python, one may instruct Maple to make use of some available local version of Python from the outset (rather than having to install an additional Python interpreter with numerous extra packages that occupy almost 2 GB!), and if one does not require such a functionality, one can simply skip the Python installation and free up 2GB immediately. So, will installing Python (or another popular external program, if it is going to be integrated or connected with Maple in future releases) be optional during the Maple installation process? 

Ubuntu 22.04.

I have Maple-202[1-3] and an old installation of maplev-mode. maplev-mode fails to work.

In the emacs messages buffer, I see (typed from memory):

loading maple
maple loaded
maple not running

I removed all of maplev from my system.
I tried installing from the downloaded master.zip (RELEASE-=NOTES says 3.0.5).
make install fails:

> pwd
/tmp/maplev-master
> make install
Makefile:27: MapleLisp.mk: No such file or directory
make: *** No rule to make target 'MapleLisp.mk'.  Stop.

I tried installing from the cloud, but, failed. The error message (even run as root)

Error, (in PackageTools:-Install) permission denied

Will maplev-mode work?

Tom Dean

Good day to all of you friends, just asking for your kind help.

I have been trying to get solution of the next integral but didn't have succes. The goal of the code is to perfom a variable change.

Best regards

restart

r := simplify(rhs(isolate(r+(2*M*`r__\`+\``+a*m/sigma)*log[10](r/`r__\`+\``-1)/(`r__\`+\``-`r__-`)-(2*M*`r__-`+a*m/sigma)*log[10](r/`r__-`-1)/(`r__\`+\``-`r__-`) = `r__∗`, r)))

Delta := -2*M*r+a^2+r^2

omega := sqrt(r^2+a^2+a*m/sigma)NULL

F := simplify(Delta*lambda*m__p/(2*m__p^2*omega^2*r^2*sigma+2*lambda^2*omega^2*sigma))

`r__∝` := int(F, `r__∗`)

NULL

Download maple_primes_question.mw

Dear Users!

I hope everyone is fine here. In the attached file I have solved a partial differential equation using the finite difference method for different mesh in spatial directions (i.e., for different Mx). I want to compute the time and memory to compute the solution against each Mx and want to plot it. Kindly help me how to compute the time and memory for each value of Mx.

TIME.mw

I shall be waiting. Thanks in advance. 

I want a maple code to solve the caputo fabrizio differential equations using Runge Kutta method with implicit functions and impulsive conditions in maple. Is there any code structure for that. 

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