MaplePrimes Questions

I have a base class with a lot of assignements. The classes that I let my students use are all child classes of that. I used to be able to hide all the assignements except those, that the students should actually work on, but now I can no longer do that. The base class is shared with several colleges and not "owned" by me, but that didn't ust to be an issue. Is there a solution to this problem?

I am new to Maple.

If i have a list (or a table) A:=[[1,2],[3,4],[5,6]

how can i split it into two lists B:=[1,3,5] and C:=[2,4,6] ? (all the 1st numbers in one list, and all 2nd numbers in another list).

Hello guys

Before starting, i must tell you that english is not my mother tongue, so sorry for my spelling errors :)

 

I have a work to do that ask me to solve the equation : e^((x))-x-5 with the Fixed Point Iteration method. (starting value=2 ; shutoff parameter = 10^(-8) and maximum number of iterations = 100).

I already try and at this time, I did that :

http://imgur.com/PGvmusk

But it doesn't seem to work. 

I am not very good with Maple...

I need some help :)

Thanks !

I'm trying to plot the lines that are based on eigenvectors of the matrix. (Functions r1(t),r2(t), q(t) are defined earlier. I can upload file if necessary)

with(LinearAlgebra):
x1:=t->-r1(t)*cos(Pi/2-q(t)/2):
y1:=t->-r1(t)*sin(Pi/2-q(t)/2):
z1:=t->0:
x2:=t->r2(t)*cos(Pi/2-q(t)/2):
y2:=t->-r2(t)*sin(Pi/2-q(t)/2):
z2:=t->0:
Ixx:=t->m*(y1(t)^2+z1(t)^2)+m*(y2(t)^2+z2(t)^2):
Iyy:=t->m*(x1(t)^2+z1(t)^2)+m*(x2(t)^2+z2(t)^2):
Izz:=t->m*(x1(t)^2+y1(t)^2)+m*(x2(t)^2+y2(t)^2):
Ixy:=t->-m*x1(t)*y1(t)-m*x2(t)*y2(t):
Ixz:=t->-m*x1(t)*z1(t)-m*x2(t)*z2(t):
Iyz:=t->-m*y1(t)*z1(t)-m*y2(t)*z2(t):

InertiaTensor:=t-><<Ixx(t),Ixy(t),Ixz(t)>|<Ixy(t),Iyy(t),Iyz(t)>|<Ixz(t),Iyz(t),Izz(t)>>:

 Here I define the matrix as a function of time. 

EV:=t->Eigenvectors(InertiaTensor(t));
V1:=t->Column(Re(EV(t)[2]),1);
V2:=t->Column(Re(EV(t)[2]),2);

Producing two eigenvectors also as functions of time.

InertiaAxis1 := t->plot(x, V1(t)[2]*x/V1(t)[1], x = -2 .. 2);
InertiaAxis2 := t->plot(x, V2(t)[2]*x/V2(t)[1], x = -2 .. 2);

InertiaAxis1(1);

And here I've got an error:

Error, (in plot) unexpected options: [-HFloat(7.378655652881484e-6)*x, x = -2 .. 2]

I tried to set "datatype=float"-option in plot function, to evaluate the coefficient by eval-function, it wouldn't help. What does this error mean exactly? 

I can not find a solution to the integral of the function below the maple, can anyone help me?

 

restart;
with(Student[MultivariateCalculus]);
with(Student[Calculus1]);

assume(-1 < rho and rho < 1, alpha1 > 0, beta1 > 0, alpha2 > 0, beta2 > 0, t1 > 0, t2 > 0)

f := proc (t1, t2, alpha1, beta1, alpha2, beta2, rho) options operator, arrow; (1/4)*(sqrt(beta1/t1)+(beta1/t1)^(3/2))*(sqrt(beta2/t2)+(beta2/t2)^(3/2))*exp(-((sqrt(t1/beta1)-sqrt(beta1/t1))^2/alpha1^2+(sqrt(t2/beta2)-sqrt(beta2/t2))^2/alpha2^2-2*rho*(sqrt(t1/beta1)-sqrt(beta1/t1))*(sqrt(t2/beta2)-sqrt(beta2/t2))/(alpha1*alpha2))/(2-2*rho^2))/(alpha1*beta1*alpha2*beta2*Pi*sqrt(1-rho^2)) end proc

int(int(f(t1, t2, alpha1, beta1, alpha2, beta2, rho), t2 = 1 .. infinity), t1 = 0.1e-2 .. y)

 

I run into a problem that really suprised me. I have a program that solves a system of differential equations with different initial conditions. I wrote a cycle that goes through initial conditions, solves differential equations and saves the picture (displaying dynamic behaviour of the system) in the given directory. All seemed fine and working until I once checked one of the pictures by running the program on the only one initial condition. It turned out that the picture program gave me this time is not the one that program gave me earlier (while running through cycle). So I panicked and started checking other pictures and it turned out that some of them are right and some of them are not, remarkably, with no particular pattern.

I reckon that I somehow need to manage the memory, clear it after every iteration. (I'm not absolutely sure that problem is here but I just don't have another explanation why this thing could happen.)

File:ClassicalTrajectoriesH2X_morse_pictures.mw

Quite often when i use maple I generate expressions that are of vast length, that with a pen and paper can be reduced in length by carefully factorizing, multiplying out and dividing through.

I am wondering if i am missig somethig- if this is a problem all maple users deal with, or if its just a limitation of the program.

Today, maple generated:

d*B[2211](t)/dt = 2*k[a2]*beta*k[d2]*B[2211]*(alpha*beta*R[b]*k[a1]^2+alpha*beta*R[b]*k[a1]*k[a2]+2*alpha*R[b]*k[a1]*k[d1]+2*alpha*R[b]*k[a1]*k[d2]+alpha*R[b]*k[a2]*k[d1]+alpha*R[b]*k[a2]*k[d2]+beta*k[a1]*k[d1]+beta*k[a1]*k[d2]+k[d1]^2+3*k[d1]*k[d2]+2*k[d2]^2)
/(alpha*beta^2*R[b]*k[a1]^2*k[a2]+alpha*beta^2*R[b]*k[a1]*k[a2]^2+alpha*beta*R[b]*k[a1]^2*k[d1]+alpha*beta*R[b]*k[a1]^2*k[d2]+3*alpha*beta*R[b]*k[a1]*k[a2]*k[d1]+3*alpha*beta*R[b]*k[a1]*k[a2]*k[d2]+alpha*beta*R[b]*k[a2]^2*k[d1]+alpha*beta*R[b]*k[a2]^2*k[d2]+alpha*R[b]*k[a1]*k[d1]^2+3*alpha*R[b]*k[a1]*k[d1]*k[d2]+2*alpha*R[b]*k[a1]*k[d2]^2+2*alpha*R[b]*k[a2]*k[d1]^2+3*alpha*R[b]*k[a2]*k[d1]*k[d2]+alpha*R[b]*k[a2]*k[d2]^2+beta^2*k[a1]*k[a2]*k[d1]+beta^2*k[a1]*k[a2]*k[d2]+2*beta*k[a1]*k[d1]^2+3*beta*k[a1]*k[d1]*k[d2]+beta*k[a1]*k[d2]^2+beta*k[a2]*k[d1]^2+3*beta*k[a2]*k[d1]*k[d2]+2*beta*k[a2]*k[d2]^2+2*k[d1]^3+7*k[d1]^2*k[d2]+7*k[d1]*k[d2]^2+2*k[d2]^3)
+(-2*k[d1]-2*k[d2])*B[2211]
+2*k[d1]*B[2211]*(alpha*beta*R[b]*k[a1]*k[a2]+alpha*beta*R[b]*k[a2]^2+alpha*R[b]*k[a1]*k[d1]+alpha*R[b]*k[a1]*k[d2]+2*alpha*R[b]*k[a2]*k[d1]+2*alpha*R[b]*k[a2]*k[d2]+beta*k[a2]*k[d1]+beta*k[a2]*k[d2]+2*k[d1]^2+3*k[d1]*k[d2]+k[d2]^2)*k[a1]*beta
/(alpha*beta^2*R[b]*k[a1]^2*k[a2]+alpha*beta^2*R[b]*k[a1]*k[a2]^2+alpha*beta*R[b]*k[a1]^2*k[d1]+alpha*beta*R[b]*k[a1]^2*k[d2]+3*alpha*beta*R[b]*k[a1]*k[a2]*k[d1]+3*alpha*beta*R[b]*k[a1]*k[a2]*k[d2]+alpha*beta*R[b]*k[a2]^2*k[d1]+alpha*beta*R[b]*k[a2]^2*k[d2]+alpha*R[b]*k[a1]*k[d1]^2+3*alpha*R[b]*k[a1]*k[d1]*k[d2]+2*alpha*R[b]*k[a1]*k[d2]^2+2*alpha*R[b]*k[a2]*k[d1]^2+3*alpha*R[b]*k[a2]*k[d1]*k[d2]+alpha*R[b]*k[a2]*k[d2]^2+beta^2*k[a1]*k[a2]*k[d1]+beta^2*k[a1]*k[a2]*k[d2]+2*beta*k[a1]*k[d1]^2+3*beta*k[a1]*k[d1]*k[d2]+beta*k[a1]*k[d2]^2+beta*k[a2]*k[d1]^2+3*beta*k[a2]*k[d1]*k[d2]+2*beta*k[a2]*k[d2]^2+2*k[d1]^3+7*k[d1]^2*k[d2]+7*k[d1]*k[d2]^2+2*k[d2]^3)

quite clearly there are expressions in there that can be factorised by (k[a1]+k[a2]) and the two quotients have the same denominator. Is there any way of minimizing the length of this expression by factorizing where appropriate, merging denominators when appropriate etc?

I am interested in the behaviour of a system of equations close to the origin- these equations are quite long, and there are a lot of them so i would like to have commands that i can use to assume products of variables are zero. 

here are the first two polynomials:


alpha*k[a1]*B[1]^2+(-alpha*k[a1]-alpha*k[a2])*B[2]*B[1]+2*alpha*k[a1]*B[1]*B[11]+alpha*k[a1]*B[12]*B[1]+2*alpha*k[a1]*B[1]*B[211]+alpha*k[a1]*B[221]*B[1]+2*alpha*k[a1]*B[1]*B[2211]+(-alpha*R[b]*k[a1]-k[d1])*B[1]+2*B[11]*k[d1]+B[12]*k[d2]+k[d1]*B[211]+k[d2]*B[221]

(-alpha*k[a1]-alpha*k[a2])*B[2]*B[1]+alpha*k[a2]*B[2]^2+2*alpha*k[a2]*B[2]*B[22]+alpha*B[2]*B[12]*k[a2]+alpha*k[a2]*B[2]*B[211]+2*alpha*k[a2]*B[2]*B[221]+2*alpha*k[a2]*B[2]*B[2211]+(-alpha*R[b]*k[a2]-k[d2])*B[2]+B[12]*k[d1]+2*B[22]*k[d2]+k[d1]*B[211]+k[d2]*B[221]

the varables are the terms with B and a subsript and everything else is a parameter.

My intuition was to use coeffs but I couldn't get anything helpful

I have tried everything to find out how to customise the header and footer for my tutor marked assignments. 

I want to have a heading on the top of the page which has a continuous line running underneath the text of the heading. And I want to have a footing on the bottom of each page which has a continuous line running above the text of the footing text.

I noticed that the 2015 Maple user manual has this feature so it must be possible.

I cannot see how to do this using the standard customise header and footer menu.

Thanks in anticipation of an answer.

DLW

Hello guys, i have some matrix equations.

A^(T)*X+X*A+Q = 0 , where A,Q - matrixs, X - unknown matrix, i need to solve this.

i tried to solve this from http://www.mapleprimes.com/questions/200940-How-To-Solve-Matrix-Equation-Problem-In-Maple#answer203570 methods, but not successfully.

How can to solve this problem?

multMatrix.mw

thx.

I updated the OSX from El Capitan 10.11 to Sierra 10.12.

After then, whenever I try to input Japanese characters, Internal Error notification appears, and it crashes.
As it is not realistic to go back to the old OS, as the time when I did back up was a little before, I wouldn't do so.
Then, I might end up torelating not using Japanese until the next version of maple appears next year.
Are the situations like this ?

I know there might not be any response as this is about inputting Japanese characters.

Best wishes.

taro

A student of mine has a problem, when trying to open a *.mw file directly from Finder, by double clicking og right-click and choose Open or Open with.  

Maple will prompt - the file does not exist.

 

If she uses Maple and and opening the same file thru file -> open etc. There is no problem. 

 

Any suggestions?

Kind regards 

Per Kirkegaard

 

 

Hello,

To summarize, I have a variable ε = order(1),  which maple has assumed is a funtion ε(x,y,z) and so when I differentiate epsilon with respect to x (or y or z) I do not get 0. I get ε(or εy, εz). How do I ensure maple does not assume this?

More detail of my process:

I declare functions,

I have the function I want to transform,

Now I transform the variables to the new co-ordinate system. i.e. from (x,n,q) to (s,Y,z)

                   

Good! - Everything correct so far. 

Now I want to linearise so i introduce x=x0+ε*x1; and the same for (Y,z), 

               

As you can see, epsilon has derivatives, which it should not. 

How I can avoid this? 

Thanks in advance - im well and truely stumped over this.

P.s. if the images do not show, the script can be found here: 

https://www.dropbox.com/sh/34gepa60xf4droq/AAAJlUcQ_Jwkc96topPvcxtXa?dl=0 

You have three cakes, with diameters 15cm, 20cm and 25cm (same width). You want to share the cakes equally among your four customers. How do you do it?
What if you want the cakes sliced into the minimum total number of pieces?


The answer is to cut the cakes in half, but five pieces is the minimum.

What I want is a procedure for a more general case.

m cakes (different diameters) divided equally amongst n people. what is the minimum number of cuts or pieces to achieve this.

cuts.mw

Hello

I am trying to solve interactively the following DE with initial condiotion b(0)=1 and maple freezes as well as my pc.Can you help me?

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