Maple Questions and Posts

These are Posts and Questions associated with the product, Maple

Here at Maplesoft, we like to foster innovation in technological development. Whether that is finding solutions to global warming, making medical discoveries that save millions, or introducing society to very advanced functional robots, Maplesoft is happy to contribute, support and encourage innovative people and organizations researching these complex topics. This year, we are delighted to have sponsored two contests in the robotics field that provide opportunities to think big and make an impact: Create the Future Design Contest and the International Space Apps Challenge. 

Create the Future Design Contest

Established in 2002, and organized by TechBriefs, the goal of the Create the Future Design Contest is to help engineers bring their product design ideas to life. The overall ‘mission of the contest is to benefit humanity, the environment, and the economy.’ This year, there were a record 1,159 new product ideas submitted by students, engineers, and entrepreneurs from all over the globe. In the machinery/automation/robotics category, which Maplesoft sponsored, the project with the top votes was designed by two engineers who chose to name their innovation CAP Exoskeleton, a type of assistive robotic machine designed to aid the user in walking, squatting, and carrying heavy loads over considerable distances. It can either be used to enhance physical endurance for military purposes or to help the physically impaired perform daily tasks. A contest like Create the Future is a perfect opportunity, for engineers in particular, to learn, explore, and create. 

The CAP Exoskeleton - ©2015 Create the Future Design Contest

 

International Space Apps Challenge

The exploration of space has always been unique in its search for knowledge. The International Space Apps Challenge, a NASA incubator innovation program, is an ‘international mass collaboration focused on space exploration that takes place over 48-hours in cities around the world’. It is a unique global competition where people rally together to find solutions to real world problems, bringing humanity closer to understanding the Earth, the universe, the human race, and robotics. These goals, the organizers believe, can be reached much faster if we combine the power of the seven billion or so brains that occupy the planet, not forgetting the six that are currently orbiting above us aboard the International Space Station. The competition is open to people of all ages and in all fields, including engineers, technologists, scientists, designers, artists, educators, students, entrepreneurs, and so on. With an astounding 13,846 participants from all over the world, several highly innovative solutions were presented. 

Maplesoft sponsored the University of York location in the UK where the winning team of five modeled an app called CropOp, a communication tool that connects the government to local farmers with the goal of providing instantaneous, crucial information regarding pest breakout warnings, extreme weather, and other important updates. This UK-based team believes the quality and quantity of food produced will be improved, especially benefiting the undernourished communities in Africa. Maplesoft supports the Space Apps Challenge because it proves that collaboration makes for bigger and better discoveries that can save millions of people.

 

Donating Maplesoft software for contestants to use is part of the sponsorship. The real delight is to wait and see what innovative concepts they come up with. When we sponsor contests like these, we find it benefits our software as much as it does the participants. Plus, if the contestants can provide solutions to real world issues, well, that benefits everyone! 

 

After reading 

http://math.stackexchange.com/questions/674535/avoid-dividing-by-zero-with-just-variables-and-basic-operators 

I tried to check this 'trick' in maple, but see what happens in Maple 2015:

 

 

 what is the correct solution for 0^0?

 

Here the code for those who hate typing:

x := 0; 0^(x^2);
0
1
for x from -1 to 1 do print(x, evalf(0^(x^2), 20)) end do;
-1, 0.
0, 1.
1, 0.
for x from -1 by .1 to 1 do print(x, evalf(0^(x^2), 20)) end do;
-1, 0.
-0.9, 0.
-0.8, 0.
-0.7, 0.
-0.6, 0.
-0.5, 0.
-0.4, 0.
-0.3, 0.
-0.2, 0.
-0.1, 0.
0., Float(undefined)
0.1, 0.
0.2, 0.
0.3, 0.

 

Harry

Hello all! How to create this plot in Maple? 

hi all

how can i solve this program?

restart;
I5:=evalf(int((x^2)/((x^4-2*x0*x^2+x0^2+1)^(3/2)),x=0..infinity)):
I6:=evalf((1/2)*int(1/(x^4-2*x0*x^2+x0^2+1)^(1/2),x=0..infinity)):
A:=f-evalf((-4/Pi)*((x0*I6-I5)/(x0*I5+I6)^(1/3))):
B:=solve(A,x0);

I am attempting to write a Gaussian elimination routine to solve a system Ax = b using loops, but I have been having trouble.  Any help would be mcuh appreciated.  Thanks!

Hello,

I'm writing a code and I seem to have an issue when trying to implement a procedure. Here is the code:

 

with(plots):

Z := 75; A := 189; k := 14.6; Rm := 8*R; r0 := 10^(-8)*R; c := 137.036; ms := 105.66/(.51100)

fmtoau := 10^(-15)/(0.529177e-1*10^(-9)):

R := 1.1*fmtoau*A^(1.0/(3.0)):

f := proc (x) options operator, arrow; 1/(1+exp(k*(x-1))) end proc:

n0 := 3*Z*k^2/(4*Pi*(Pi^2+k^2)*R^3):

n := proc (r) options operator, arrow; 4*Pi*n0*f(r/R) end proc:

int(r^2*n(r), r = 0 .. Rm);

73.00000007

(1)

plot(n/n0, 0 .. 2*R);

 

v1 := unapply(int(x^2*f(x), x), x):

Vfermi := proc (r) options operator, arrow; -4*Pi*n0*R^2*(R*(v1(r/R)-v10)/r+v2Rm-v2(r/R)) end proc:

Vuniform := proc (r) options operator, arrow; piecewise(r < R, -Z*(3/2-(1/2)*r^2/R^2)/R, -Z/r) end proc:

plot([Vuniform(r), Vfermi(r), -Z/r], r = r0 .. 2*R, V = 1.2*Vfermi(r0) .. 0, legend = ["uniform charge", "Fermi distribution", "point charge"]);

 

``

plotsol1s := proc (E, K, r0, S, col) local Eqns, ICs, fnl, gnl, r, soln; global ms, c; Eqns := diff(fnl(r), r) = gnl(r)*[E+2*ms*c^2-Vuniform(r)]/c-(K+1)*fnl(r)/r, diff(gnl(r), r) = -fnl(r)*[E-Vuniform(r)]/c-(1-K)*fnl(r)/r; ICs := fnl(r0) = 1, gnl(r0) = 0; soln := dsolve({Eqns, ICs}, numeric); plots:-odeplot(soln, [r, fnl(r)], r0 .. S, color = col) end proc:

plotsol1s(-3*10^5, -1, 10^(-10), Rm, red)

Error, (in f) unable to store '[HFloat(0.0)]' when datatype=float[8]

 

``

``


Any help would be greatly appreciated.

 

Gambia Man

 

i got UI interface error when i install maple 15 into intel compute stick in window 8.1

It seem absurd that in Maple 18, why int(f(t),t) do not work instead one have to write Int(f(t),t) for indefinite integration?

 

ABSTRACT. In this paper we demonstrate how the simulation of dynamic systems engineering has been implemented with graphics software algorithms using maple and MapleSim. Today, many of our researchers the computational modeling performed by inserting a piece of code from static work; with these packages we have implemented through the automation components of kinematics and dynamics of solids simple to complex.

It is very important to note that once developed equations study; recently we can move to the simulation; to thereby start the physical construction of the system. We will use mathematical and computational methods using the embedded buttons which lie in the dynamics leaves and viewing platform cloud of Maplesoft and power MapleNet for online evaluation of specialists in the area. Finally they will see some work done; which integrate various mechanical and computational concepts implemented for companies in real time and pattern of credibility.

 

Selasi_2015.pdf

(in spanish)

 

Lenin Araujo Castillo

 

 

I'm from Vietnamese. My English is not very good :D I have a question about tubeplot in maple. Can you give me a form of tubeplot? I read it in the MapleHelp, but I don't really understand. Example:

y:=x^2+x-1. tubeplot y. create a plot, limit by y, x=1,y=5,around Oy .

Can you hepl me? Thanhks you so much!

I have a problem, to which I think the solution is to make ln(x) inert.  I'd like to be able to enter the following

diff(1.5^x,x);

and get back 

ln(1.5)1.5^x

But of course Maple returns 

It seems to me that if I could make ln(x) inert for that might work, but I don't really know much about the ToInert command.  Or maybe this isn't the right approach.  

Is there a command in Maple that directly divides one equation by another and produce the result as one equation directly? I wanted to verify the text book, where it says

      x^2-y^2 = a*z^2   ----- (1)
      x-y          = a*z       ------(2)
dividing (1) by (2) gives

      x+y = z  ---(3)

So I typed this in Maple:

restart;
eq1:=x^2-y^2=a*z^2;
eq2:=x-y=a*z;

But now what to do? I can see the answer in book is correct by doing

   solve( {eq1,eq2}, {x,y} );

And adding the solution given above, which shows it is z indeed.  But I'd like to get Maple to generate equation (3) above automatically.  Is this possible?

Maple 2015, windows 7

I was looking for help on polynomial division using Maple via google. But I am having hard time deciphering this web page on quo command. Is this syntax supposed to work on some Maple version?

http://www.maplesoft.com/support/help/Maple/view.aspx?path=Task/QuoAndRemOfPolynomialDivision

 

 

I also do not understand how the polynomial and the divisor are "entered" without it being assigned to variables like this. I thought it was the browser, but  I tried both Chrome and Firefox and they both show the same page.

Is the above using some new Maple product? I am using Maple 2015 on windows and I get an errors trying to type the above on my Maple worksheet.

 

Hey.

I just got this document and can't seem to open it as a .mv file - I tried to attatch it here, but it wouldn't let me for some reason, so I saved it as a .txt and attatched it instead. Is my file broken, and if so, is there any sort of tool to fix it?

Thanks

Let x and y be 4-digit integers such that the last digit of x is 7 and the last digit of y is 1. That is, x = abc7 and y = rst1, where a,b,c,r,s,t all run from 0 to 9. There are 1000 possibilities for x and  1000 for y. What are all possible products x*y? I would like all possible products listed in increasing order. The first element of the list should be 7*1 = 7 (since 0007*0001 = 7). The last should be 9997*9991 = 99880027. Thank you! 

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