How to change output of mtaylor command?...

I want to change the output of the mtaylor command, eg for 3 series terms

ftaylor:=mtaylor(f(x,y),[x,y],3);

gives

ftaylor := f(0,0)+D[1](f)(0,0)*x+D[2](f)(0,0)*y+1/2*D[1,1](f)(0,0)*x^2+D[1,2](f)(0,0)*x*y+1/2*D[2,2](f)(0,0)*y^2;

I want the output as ftaylor := g(x,y) + D[1](g(x,y)) *x + D[2](g(x,y))*y + .... etc for all the terms in ftaylor.

Later on g(x,y) can be defined and terms like D[1](g(x,y)) evaluated.

I tried

subs(f(0,0)=g(x,y),ftaylor);

but it doesn't work. Using eval doesn't work either.

Is there a way to do this?

Maple code for finding optimum maximum value of fu...

Maple code for finding optimum maximum value of function TOTP given below when D is kept in the range of 300 to 2000?Also give maple code to find 3Dplot to determine the convexity of function TOTP with respect to y and Sr?

Hi currently i do my master thesis and i need hel...

```D^γ S(t)=(b-ev)S-α_1 (1-ev)SI_1-α_2 (1-ev)SI_2-dS,
D^γ I_1 (t)=α_1 (1-ev)SI_1-(β_1+d_1+d)I_1,
D^γ I_2 (t)=α_2 (1-ev)SI_2-(β_2+d_2+d) I_2                  ,
D^γ R(t)=β_1 I_1+β_2 I_2+evS-dR ```

Error, `MapleSim` does not evaluate to a module...

I have maplesim installed and I get the error "Error, `MapleSim` does not evaluate to a module" when I run A:=MapleSim:-LinkModel(); in a Maple worksheet.

Does anyone know how to solve this error?

Why can't Maple solve the below code for some par...

Hello everybody.

I wrote the attached code. this code gives a good result when "H" parameter is equal to 0.5. Even in this condition if I change other parameters, I can get a true result as well. But when I change "H" parameter to 0.6,0.7,0.8 or 0.9 the code can't be executed anymore and I can't get a result.

based on the paper, for H=0.6,0.7,0.8 or 0.9. we have a result.

what's the problem?

1.mw

problem combining plots...

I have two plots that I want to overlay.  I can do that, but I want the units to be in english units ("lbf" instead of "N" for force).  Individually each plot will switch the units, but the "display" command throws an error!  Help, please.

plot_issue_Flow.zip

How to setup pacemaker and Corosync to maple work?...

Can pacemaker and corosync work with maple?

How to setup pacemaker and Corosync to maple work in Amazon EC2?

how to make it work in clusters ?

what is the difference with supercomputing in Amazon ?

which consulting company in Hong Kong can help to use supercomputing in Amazon in my case ? I would like to run batch of batch total 100 script running maple in one instance , but total numbers need to run around 60 years. Any consultant to calculate and setup this supercomputing or pacemaker to make calculations into one day or a few days ?

all complex and real root of equation...

Dear Mapler

I want to find all real and complex solutions to the following equation. then calculate the omega based on these values and finally select the present the omega with the smallest imaginary part.

```with(SignalProcessing):

n:=8;

kk:=FFT(GenerateJaehne(n,1));

#params:= [p,    s, nu,   rho, h,    sigma, C1[1], C1[2], C2[1], C2[2], k1,  k2,  m1[1], m1[2], m2[1], m2[2] ]
params:= [1e-7, 0, 1e-6, 1e3, 1e-2, 0,     5e-4,  5e-4,  5e-4,  5e-4,  1.4, 1.4, 1+I,   1+I,   1-I,   1-I   ]:

for i from 1 to n do
x:=kk[i]:
mm[i]:=[solve(
eval(
( (x*h)*( (y*h)*sinh((x*h))*cosh((y*h))-(x*h)*cosh((x*h))*sinh((y*h)))*(1+s*(x*h)^2)
+p*(-4*(x*h)^2*(y*h)*((x*h)^2+(y*h)^2)+(y*h)*((y*h)^4+2*(x*h)^2*(y*h)^2+5*(x*h)^4)*cosh((x*h))*cosh((y*h))
-(x*h)*((y*h)^4+6*(x*h)^2*(y*h)^2+(x*h)^4)*sinh((x*h))*sinh((y*h))))
/((x*h)^2*(y*h)*cosh((y*h)))
, [p=params[1], s=params[2], h=params[5] ]), y
, AllSolutions=true)]:
print(kk[i]);
print(mm[i]);
for j from 1 to nops(mm[i]) do
omega[i][j]:=eval(-I*nu*((x*h)^2-mm[i][j]^2), [nu=params[3],h=params[5]]);
print(omega[i][j]);
od:
print(`======`);
od:
```

Initialization diagnostics questions...

Q1: clicking on a variable in the attached I get

What does it mean and how can I fix that when it happens?

Initialisation_diagnostics_error.msim

Q2: Why are initial conditions which are set to "Ignore" listed as "Guess"?

I intend to use the initialization diagnostics to filter a model for components that have initial conditions set. In the attached example (excerpt from a larger model), this does not work the way I want it to (i.e. I don't want P1 to be listed a guess).

Init_diagnostics_ignore_listed_as_guess.msim

Q3: The app seems to be a powerfull tool. Is it explained somewhere how to use the app to debug a model?

Tubeplot colors...

When displaying two tubeplots together, we may specify their colors at will, as long as they are different colors!  For instance, specifying red and green works correctly, but specifying red and red results in red and black!

See the attached worksheet.  Interestingly, when displaying the contents of the worksheet on this website, the colors are rendered correctly!  So don't go with what you see on this web page; look inside the worksheet instead.

 > restart;
 > kernelopts(version);

 > with(plots):

Two intersecting tori colored red and green -- works as expected:

 > display(         tubeplot([cos(t), 0, sin(t)], t=-Pi..Pi, radius=0.2),         tubeplot([cos(t), sin(t), 0], t=-Pi..Pi, radius=0.2), style=surface, color=[red,green]);

When we set both colors to red, one of the surfaces is painted black!  Why?

Please note: This website displays the colors corectly as red and red.  But

within the worksheet the colors are read and black.

 > display(         tubeplot([cos(t), 0, sin(t)], t=-Pi..Pi, radius=0.2),         tubeplot([cos(t), sin(t), 0], t=-Pi..Pi, radius=0.2), style=surface, color=[red,red]);

Specifying colors as red/red within the tubeplots still produces red/black!

 > display(         tubeplot([cos(t), 0, sin(t)], t=-Pi..Pi, radius=0.2, color=red),         tubeplot([cos(t), sin(t), 0], t=-Pi..Pi, radius=0.2, color=red), style=surface);

PS: As a workaround, we may replace the red & red specification with
COLOR(RGB, 1, 0, 0) and
COLOR(RGB, 1, 0, 0.01)
which are different enough to make Maple happy, but produce essentially the same red color.

Writing a function to get a Random planar graph...

Any way to write a function to get a RandomPlanar connected graph

That I have function say RandomPlanar(n,m) where n is the number of vertices and m is optional parameter and is the number of edges

Font-size of caption, labels and axes on plots sma...

Maple 2021.
I expect after exporting to pdf view of page with plot like on fig. 1.

It means with font=[TIMES, ROMAN, 12] as in maine text.
But I obtaned this view of page on pdf (fig. 2) with smaller font-size.

In previouse versions there are no the problem like this.
Dear community, how to fix this annoying inconvenience?

fig. 1.  fig. 2.

Efficient and accurate way to find intersection po...

I have a closed curve(parameterized by t) with self intersection and I'd like to locate the x-y coordinates of the intersection. fslolve only returns 1 intersection. I've tried to use a finite step method but it is way to slow even with rough stepping and becomes very inaccurate. Does maple have anything built in to handle this?

Help writing code...

Hello my friends
How can I write the results inside the Maple code as in the picture? That is, writing the results in terms of gamma and alpha