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! 

hi all

i have a plot in maple. how can i print the maximum point of my plote?

hi friends

i have a question and i could find the answer in existing questions but it was not clear at all!!!

i want to label my contours and i know that i should use lebelledcontourplot command.

But how?!
i could find an answer:

"1- First download the files located on his webpage.  Advisor6.zip    It should be zipped with 3 files in it. 

2 - Unzip them and copy them into a directory which you name, probably somewhere in the maple directory named advisor.  c:\maple12\advisor

3 - Then create a maple.ini in the maple12 directory with the following line to match your directory location  
libname:= `c:/maple12/advisor`, libname:  just like on the instruction installation page."

these are my questions:

1-how can i create a maple.ini?!
2-what should i do with the file i will create?

please explain more about the third phrase and explain exactly what should i do step by step.

thanks a lot

Hello

I need to solve the Bending Vibration of Euler-Bernouli Beam Problem and I keep getting stuck. I start with a fairly straight forward fourth order differential eq. Using the dsolve command gives me the general solution

Y(x)=A*sin(a*x)+B*cos(a*x)+C*sinh(a*x)+D*cosh(a*x)

Maple insist on using e^(x)+e^(-x) instead on sinh and cosh - but it's the same. So far so good.

My specific problem is a clamped-pinned beam of length l - so my boundary conditions are (correct me if I'm wrong here):

In the clamped end at x=0: Y(0)=0, Y'(0)=0

In the pinned end at x=l: Y(L)=0, Y''(0)=0

Using both the dsolve(ode,ics) and a dsolve(ode) and then solve(ics) both results in the trivial solution Y(x)=0 - which is wrong - I know there is a tan(a*l)-tanh(a*l) solution.

To get a easier and well documented example to solve by hand, I also tried with a simply supported beam. Boundary conditions are then:

Y(0)=Y(l)=0

Y''(0)=Y''(l)=0

Same result - only the trivial solution Y(x)=0 and If you solve it by hand you get a sin(a*l) solution.

What am I doing wrong? Is it syntax error on my part or what?

I have attached both my maple doc and a pdf with a walkthrough of the correct solution.

Beam_vibration.mw Transverse_vibration_of_beams.pdf

Any help would be appreciated

Kind regards

Jacob

http://math.stackexchange.com/questions/1511020/how-to-simplify-complicated-trig-expression-in-maple

Is there a way to simplify the above equation in maple?

and plot  function I? This I is the area which I wrote at the paper.

Could you give me the code which can be used to solve the ODE by numerical method and plot I with respect to t?

I think I have write down everything clearly but if you feel confused please ask me.

I am eager to know the code. Thanks very much!

Hi all

I want to analysis this beam  (a simple and a tip rotational spring) in Maple to find the first four Frequencies...

Please help me

I have two linear algebra texts [1, 2]  with examples of the process of constructing the transition matrix  that brings a matrix  to its Jordan form . In each, the authors make what seems to be arbitrary selections of basis vectors via processes that do not seem algorithmic. So recently, while looking at some other calculations in linear algebra, I decided to revisit these calculations in as orderly a way as possible.

First, I needed a matrix  with a prescribed Jordan form. Actually, I started with a Jordan form, and then constructed  via a similarity transform on . To avoid introducing fractions, I sought transition matrices  with determinant 1.

Let's begin with , obtained with Maple's JordanBlockMatrix command.

The eigenvalue  has algebraic multiplicity 6. There are sub-blocks of size 3×3, 2×2, and 1×1. Consequently, there will be three eigenvectors, supporting chains of generalized eigenvectors having total lengths 3, 2, and 1. Before delving further into structural theory, we next find a transition matrix  with which to fabricate .

The following code generates random 6×6 matrices of determinant 1, and with integer entries in the interval . For each, the matrix  is computed. From these candidates, one  is then chosen.

After several such trials, the matrix  was chosen as

for which the characteristic and minimal polynomials are

So, if we had started with just , we'd now know that the algebraic multiplicity of its one eigenvalue  is 6, and there is at least one 3×3 sub-block in the Jordan form. We would not know if the other sub-blocks were all 1×1, or a 1×1 and a 2×2, or another 3×3. Here is where some additional theory must be invoked.

The null spaces  of the matrices  are nested: , as depicted in Figure 1, where the vectors , are basis vectors.

The vectors  are eigenvectors, and form a basis for the eigenspace . The vectors , form a basis for the subspace , and the vectors , for a basis for the space , but the vectors  are not yet the generalized eigenvectors. The vector  must be replaced with a vector  that lies in  but is not in . Once such a vector is found, then  can be replaced with the generalized eigenvector , and  can be replaced with . The vectors  are then said to form a chain, with  being the eigenvector, and  and  being the generalized eigenvectors.

If we could carry out these steps, we'd be in the state depicted in Figure 2.

Next, basis vector  is to be replaced with , a vector in  but not in , and linearly independent of . If such a  is found, then  is replaced with the generalized eigenvector . The vectors  and  would form a second chain, with  as the eigenvector, and  as the generalized eigenvector.

Define the matrix  by the Maple calculation

and note

The dimension of  is 3, and of , 5. However, the basis vectors Maple has chosen for  do not include the exact basis vectors chosen for .

We now come to the crucial step, finding , a vector in  that is not in  (and consequently, not in  either). The examples in  are simple enough that the authors can "guess" at the vector to be taken as . What we will do is take an arbitrary vector in  and project it onto the 5-dimensional subspace , and take the orthogonal complement as .

A general vector in  is

A matrix that projects onto  is

The orthogonal complement of the projection of Z onto  is then . This vector can be simplified by choosing the parameters in Z appropriately. The result is taken as .

The other two members of this chain are then

A general vector in  is a linear combination of the five vectors that span the null space of , namely, the vectors in the list . We obtain this vector as

A vector in  that is not in  is the orthogonal complement of the projection of ZZ onto the space spanned by the eigenvectors spanning  and the vector . This projection matrix is

The orthogonal complement of ZZ, taken as , is then

Replace the vector  with , obtained as

The columns of the transition matrix  can be taken as the vectors , and the eigenvector . Hence,  is the matrix

Proof that this matrix  indeed sends  to its Jordan form consists in the calculation

The bases for , are not unique. The columns of the matrix  provide one set of basis vectors, but the columns of the transition matrix generated by Maple, shown below, provide another.

I've therefore added to my to-do list the investigation into Maple's algorithm for determining an appropriate set of basis vectors that will support the Jordan form of a matrix.

Download JordanForm_blog.mw

Need help for manipulating tensor with the physics package.

I ask some questions about this.  But each time, I am refer to the help pages.  If I ask again some help, it is because I can't not start with the information on the help file.  It is written for people that already know General Relativity (GR).

So this time, I have created a document (attach to this post) where I ask specific queations on manipulations.  My goal is to ccrreate a document that I will put on the Applications Center.  I promess that those who will help me on this will be cited in the document.  This way, I hope to create an introduction on how to use tensors for beginner like me.

Then, with this help, I am sure I will be able to better understand the help page of the packages.  I am doing this as someone who is starting to learn GR and have to be able to better understand the manipulations of tensor and getting the grasp of teh meaning of all those tensor.  For exemple, the concept of parallel transport on a curve surface.

Thank you in advance for all the troubling I give you with this demand.

Regards,Parallel_Transport.mw

--------------------------------------
Mario Lemelin

Maple 2015 Ubuntu 14.04 - 64 bits
Maple 2015 Win 7 -  64 bits
messagerie : mario.lemelin@cgocable.ca
téléphone :  (819) 376-0987

I using Maple 18.

I write below procedure,

Eqplot:=proc(a,b)
local y,x;

y:=a*x+b;

y,plot(y,x);

end proc:

when I use Eqplot(2,3) , then I will expect the result for both of equation 2x+3 and sketch y=2x+3, but unfortunately the result is only sketch y=2x+3.

please hint me about that how I can write a proc that result be both of 2x+3 and sketch 2x+3 in maple 18?