MaplePrimes Questions

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Dear Maple user, please help me to show two legends inside the plot. Here is the codes attached. restart:
h:=z->1-(delta2/2)*(1 + cos(2*(Pi/L1)*(z - d1 - L1))):
K1:=((4/h(z)^4)-(sin(alpha)/F)-h(z)^2+Nb*h(z)^4):
T1:=Int(K1,z=0..1):
L1:=0.2: F:=10:
d1:=0.2:
T2:=evalf(T1):
T3:=unapply(T2,alpha,Nb,delta2):
plot([seq(seq(T3(alpha, Nb, delta2), Nb in [0.1, 0.2,0.3]), alpha in [Pi/6, Pi/4, Pi/3])], delta2 = 0.02.. 0.1,  titlefont = ["ROMAN", 15], labels = ["δ1", "T3"], labeldirections = ["horizontal", "vertical"], labelfont = ["SYMBOL", 11], linestyle = [solid, solid,solid,longdash, longdash,longdash, spacedash,spacedash, spacedash], symbol = [BOX, CROSS, CIRCLE, BOX, CROSS, CIRCLE, BOX, CROSS, CIRCLE], color = [blue,red, green, blue,red, green,blue,red, green], axes = boxed,size = [1000, 1000]);

I have a problem where there is a true deadtime due to a transport delay.  The delay is in the order of 8 minutes as a fluid flows very slowly down a tube.

I've fit an expression to some measured data and have found the following expression

I'd like to work with this using the Dynamic Systems Package, so I'm trying to build a system from the time-domain expression.  When I try to use the inttrans:-laplace function to convert to the s-domain, I get an overflow.  If I manually express this as a Laplace transform and try to make a system and do a step response, I get this, with an error that "transfer function(s) are not rational-polynomial(s) in s"

Is a delay supported in the Dynamic Systems Package?  If so, could you provide guidance on how?

"Error, (in dsolve/numeric/SC/firststep) unable to evaluate the partial derivatives of f(x,y) for stiff solution", I am trying to solve a system of PDEs in Maple, using discretisation schemes, but keep getting this error. Can anyone help me with this?

i did try and even replace the function w(t) by anotehr thing but is not working  how i can find that and make be answer of my pde?

k1.mw

How can find thus parameters 

Dr.D-problem.mw

In space, how can we find the coordinates of the three vertices of a triangle that is neither right-angled nor isosceles, such that the coordinates of its vertices, the coordinates of the foot of an angle bisector, the length of that angle bisector are all integers, and the lengths of the sides of the triangle are integers? 

I tried 

https://drive.google.com/file/d/1xOMxTCv3lC9RiKpwazerQ3D6WxeXLwJ-/view?usp=sharing

a million time i try to figure out how i can get this plot ? why my graph  in countor is not same the 3D plot? where is problem?

Bgraph1.mw

I am getting an error when trying to pull my value for M_a out of the solver.  See screenshot below.  Full sheet attached.H.Beam_Calcs_Rev00C.flow

I know my sheet is messy so hopefully someone can still understand enough to help me.  The sheet isnt extremely wrong so I'm not sure why I am getting this. I am still new to Maple Flow and learning the tricks of the syntax has been a bit of a struggle

Ladies and Gentlemen,

first question :

what is the equivalent command in Maple to display Mathematica :

$MaxMachineNumber/$MinMachineNumber and $MaxNumber/$MinNumber ?

second question :

How do you "call" the result of a command using ((5)) for example.

I don't know if my English is so bad as to understand the question

A solution would be a great relief for me.

Thank you very much and kind regards,

Jean-Michel

Syntax for merging and overlaying all three graphs on a single plot.
Include three sets of iso-profit lines on the same axes:
– Case 1: thin solid lines
– case 2: brown dashed lines
– Case 3: grey semi-dashed lines
Also add vector arrows to show the direction of maximum profit increase.
Combined plot = Plot 1 + Plot 2 +  Plot 3
Attaching sheet:
case_1.mw                  case_2.mw                 Case_3.mw
 

sample graph: 

Is it possible to install and operate Maple toolbox 2025.2 with MATLAB R2025b on Linux (Ubuntu 24.04)  platform?

On Ubuntu 24.04 installation process hangs after location of Maple and Matlab folders at installer window.

Any idea what is wrong?

Of course, I know that actual Maple 2025 system requirements mention support only for MATLAB R2024b, but this is an obsolete version of MATLAB.

And finally, Is there any reliable and effective way how to switch between Maple and MATLAB symbolic engine?

My maple version is 2025.2 and is extremely slow when typing. If i type fast then half a second goes by and the text appears. My pc has quite decent specs so limited performance is likely not the issue.

When I use Maple to solve some complex polynomial system and trying different methods, for instance, using engine = traditional, it will sometimes lose or fail to find the solutions. In the document, it says Maple will convert to engine = groebner when it does not find solutions using traditional engine. As far as I know it is using resultant to eliminate variables, and the resultant is computed by pseudo remainder. The leading coefficient of the divisor is multiplied during each division to ensure that we include the case that it is zero.

But why this procedure will lose solutions sometimes? What makes Maple abandon this method?

Hello, sirs, I need your help to plot a contour for Psi; for this, y should be on the vertical axis and x on the horizontal axis.  My Maple sheet is working, but the output is not according to the desired. Can you please have a look, and for reference, I am uploading a picture. I need my contour to look like the reference picture.

Contour_plot_help.mw

I this code, I do by my hand (x - ptA[1])^2 + (y - ptA[2])^2 + (z - ptA[3])^2 = r^2;

restart;
with(geom3d);
ptA := coordinates(point(A, 1, -4, 3));
point(B, -3, 2, 5);
r := distance(A, B);
Equation(sphere(S, [A, r], [x, y, z]));
(x - ptA[1])^2 + (y - ptA[2])^2 + (z - ptA[3])^2 = r^2;

When I used Equation(sphere(S, [A, r], [x, y, z])); I got


Is there a function to convert Equation(sphere(S, [A, r], [x, y, z])); to get the result

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