Maple Questions and Posts

These are Posts and Questions associated with the product, Maple

   It’s that time of year again for the University of Waterloo’s Submarine Racing Team – international competitions for their WatSub are set to soon begin. With a new submarine design in place, they’re getting ready to suit up, dive in, and race against university teams from around the world.

 

   The WatSub team has come a long way from its roots in a 2014 engineering project. Growing to over 100 members, students have designed and redesigned their submarine in efforts to shave time off their race numbers while maintaining the required safety and performance standards. Their submarine – “Bolt,” as it’s named – was officially unveiled for the 2017 season on Thursday, June 1st.

 

 

   As the WatSub team says, "Everything is simple, until you go underwater."

 

 

    Designing a working submarine is no easy task, and that’s before you even think about all the details involved. Bolt needs to accommodate a pilot, be transported around the world, and cut through the water with speed, to name a few of the requirements if the WatSub team is to be a serious competitor.

 

    To help squeeze even more performance out of their design, the team has been using Maple to fine tune and optimize some of their most important structural components. At Maplesoft, we’ve been excited to maintain our sponsorship of the WatSub team as they continue to find new ways to push Bolt’s performance even further.

 

 

   The 2017 design unveiling on June 1st. After adding decals and final touches, Bolt will soon be ready to race.

 

   This year, the WatSub team has given their sub a whole new design, machining new body parts, optimizing the weight distribution of their gearbox, and installing a redesigned propeller system. Using Maple, they could go deep into design trade-offs early, and come away knowing the optimal gearbox design for their submarine.

 

   In just over a month, the WatSub team will take Bolt across the pond and compete in the European International Submarine Races (eISR). Many teams competing have been in existence for well over a decade, but the leaps and strides taken by the WatSub team have made them a serious competitor for this year.

  Best of luck to the WatSub team and their submarine, Bolt – we’re all rooting for you!

In the below calculations, I get some solutions after solving the system. I am not sure if this is done assuming that all the values that are under the radicals are positive or indeed they are positive without further assumptions. I mean can I be sure that each given set of solution is a feasible solution? I suspect that Maple may ignore the assumptions sometimes.  

Please, can someone give me a hand? I can not understand why in the first case the collect command does not work while the second one works correctly. Many thanks for your attention.trasformaziione_equazioni1.mw
 

esp1 := -a^4+a^2*c^2

-a^4+a^2*c^2

(1)

esp2 := collect(esp1, a^2);

This, apparently, does not work properly

-a^4+a^2*c^2

(2)

esp3 := collect(-a^4+a^2*c^2, a^2);

-a^4+a^2*c^2

(3)

esp11 := -a^2*x^2-a^2*y^2+c^2*x^2

-a^2*x^2-a^2*y^2+c^2*x^2

(4)

esp12 := collect(esp11, x^2);

(-a^2+c^2)*x^2-a^2*y^2

(5)

``


 

Download trasformaziione_equazioni1.mw

 

The following are the equation and plot3d of the minimal surface named Catalan:

Catalan := [alpha-sin(alpha)*cosh(beta), 1-cos(alpha)*cosh(beta), 4*sin((1/2)*alpha)*sinh((1/2)*beta)]
plot3d(Catalan, alpha = 0 .. 2*Pi, beta = -3 .. 3, scaling = constrained, title = "Catalan's surface", titlefont = [Courier, bold, 14])

I would like to color and thicken the edge of this surface to emphasize what I presume is the wire which frames the soap film which forms the surface.

Contourplot3d only shows contours at constant values of the z coordinate, however the plot3d display with style option "surface with line" clearly shows the surface's edge contour, among others.

Given the surface equation, is there any way to display the surface edge programmatically e.g. as a spacecurve? 

How to manually switch frames in the DifferentialGeometry package? (Example: Help_Differential geometry_lesson2_exercise 4). Thank you

Without my knowingly changing any Maple parameters, the execution time values of variables appearing in the window displayed when a DEBUG statement is executed have recently started to be listed at the end of my worksheet.

If I have been doing extensive debugging this list can be quite lengthy and a nuisance to erase.

Why did this listing suddenly begin and how can I stop it?

The following construction of a simple vector of matrices (just a test example)

Vector(2,(a) -> Matrix(2,2,(b,c) -> m||a||b||c));

works in Maple 17, but not in Maple 2017 where the error message "Error, (in Vector[column]) number of elements on right side must match subselection on left side" is produced. Why that?

Update: If no output is prompted, i.e., if the above line is terminated with colon instead of semicolon, then no error is raised. What?!

Hi;
what's the difference between "assuming" and "assume" commands in maple? tell me this problem with example. Thanks.
with regards...

I am thinking about buying maple 2017 however there are only 4 different categories to choose from when you want to buy: student, commercial, academic and government. I dont belong to any of them! Also the price difference is huge! I am on disability benefits and the academic license cost more or less the same amount that I get in disability benifts each month to cover my food, rent and medicines which is approximatly 1 100 usd. The price for a student licens is completely realistic and is a price that I am willing to pay but I am not a student and I dont feel comfortable claiming that I am even though everyone is a student as long as they live. When you stop learning you life is more or less over anyway. If I am forced to pay around 1 000 usd then I am not going to buy maple 2017. Then I am just going to continue using MathPapa free algbra calculator https://www.mathpapa.com/ because to be honest I dont really need maple that much in my research today but there are a couple of reaons why I want to buy. 1) I would like to support maplesoft because I think you have the best and most userfriendly mathematical software on the market. 2) I want to hedge my bets. My needs might change in the future. 3) I want to be able to run my large number of old worksheets and see if I can improve them. 4) I want to see what changes and improvments have been made to maple 2017 compared to let say 5 years ago and to assess if these changes provide any value to me. 

 I'm thinking upload a technical paper into maple cloud, and i would like to keep the intellectual property of this paper or have a mention from the reader if they use it. Is it possible?. Thanks!

I have a parametric equation which want to solve it , but maple does not .

problem.mw

 best regards

Hi guyz,

I have a trouble in expanding the function "p" with respect to "b<<1". After expansion I would like wirite terms with respect to orders of "b". I know the procedure but I can't unfortunately do that for this case. can u give any help?

 

 

 

 

prob.mw

hi

i want to solve a function which contains below series, but I can't.

SS:=sum(F[k-m]*sum(F[m-L]*sum(F[L-j]*F[j],j=0..L),L=0..m),m=0..k);

or

SS:sum(F[k-m],m=0..k)*sum(F[m-L],L=0..m)*sum(F[L-j]*F[j],j=0..L);

eq:=(-1/(k+1))*(F[k]+0.5*sum((k-m+1)*F[k-m+1]*F[m],m=0..k)+0.05*SS);

n:=8;
for k from 0 to n do
F[k+1]:=solve(eq);
end do;

with the first SS I have gotten a wrong nswer and with the second SS this error has been seen:

Error, (in solve) cannot solve expressions with sum(F[L-j]*F[j], j = 0 .. L) for F[j]

is there qny one hepl me please.

thanks

Why Maple18 cannot solve the system p=(w^2+v*w)/(1-2*u-w) & q=u+w & r=w symbolically by using command

solve({p=(w^2+v*w)/(1-2*u-w),q=u+w,r=w},{u,v,w})? It responds with an error message.

int(ln(x)^n,x)  just returns the integral

Mathematica gives

What other interventions are required to get Maple to produce an answer?

 

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