Maple Questions and Posts

These are Posts and Questions associated with the product, Maple

Dear Community Members,

 

We have problem with calculation in Maple v11 and v18. when we make a calculation by using maple v11 and v18, we was not able to get the solution as you see enclosed. when we clicked to "enter + ; ", programme does not run.

 

Hi

how can solve this system of equations:

-dp/dz=(0.855*(1+2*x))/p

dx/dz=((6.39*10^-3*p*(1-x))/(1+2*x))

that x=f(z) and p=f(z)

and at z=0     p=5 bar  & x=0

Dear all

I want to know, how one can install third party package into Maple13, the package is "wkptest" i downloaded it from link http://cpc.cs.qub.ac.uk/summaries/ADTY. If anyone knows how to do this please help.

When I create a component, here a label component, and set a name property and then click OK, that name seems to go into some list never to be erased. If I then delete the first name and put in a new name and click OK. thus saving it, and the then try to use that name again on a different component, I am told that the name is already in use. Well, no existing component has the name, but it is still in Maple's list of components. If I go to edit an action for any component and input %+command completion, I get a list of components which includes the deleted name which does not belong to any existing component. Since the name is on this list, I cannot reuse the component name.

How do I clean up this erroneous list of component names, so that a mistake in naming one component doesn't forever prevent me from using it on the component for which it was intended?

 

Hello every one,

 

I am trying to solve a backward induction problem (game theoretic problem) in maple. Lets say we have S rounds. I start from bottom (S-th round) and solve a parametric equation. Then I put the solution in the upper level (S-1). Then, update the functions at level and solve the equation pertatining to this level (S-1). Again, I put the solution ofround S-1 into the equations of S-2 and update the equations and parametrically solve the equation belonging to level S-2 . This process repeats till the first level.

 

The issue is that the solution gradually becomes larger and larger. I guess that's why Maple is not able to solve it. 

 

Have any of you guys faced to a similar problem. Any suggestion?

 

I was thinking of asking maple to reduce its precision in computations. I mean there may not be necessary to store a number with 100 digits precision! However, I don't know how to do that (I don't know the command). Any suggestion?

 

Thank you in advance.

 

Ahmadreza

I've got

f(x,y)= a.exp(1+xy) +( a^2 )*sin(x)+1

for which I've shown that there exists an implicit function x=g(y). ( df/dx <>0)

and df/dx = a*exp(1+xy) +( a^2 )*cosx now in the neighborhood of P=(0,0) for the implicit function to exist I'd need a*exp(1+xy)*y <>0 but at P, wouldn't this be 0?

Given, g(y)=x, how do I find the max,min,saddle points?

Math powers the world. From tracking the spread of an epidemic to designing a new rocket engine, mathematical equations allow us to understand a challenge and formulate an approach to solving it. Everywhere around us, math is ubiquitous; an equation determines how your thermostat controls your home furnace; a mathematical algorithm is used to encode the signal from your cell phone. More than ever, we rely on mathematics to make our lives better. And continually, our mathematical techniques get more refined as we solve more and more complex problems.

Hello

1)I need some guides to solve my problem. I have attached my file. Could you please help me to understand what's wrong in my code?

2) Is there any option to pause "Loops" and watching results, something like break point.

THank you.

 

 

restart

 

with(ImageTools):``

with(FileTools):````

Input Section

 

NULL

filelocation := "C:\\Users\\Mohammad\\Desktop\\1.jpg":

k := 1:NULL

 

zimage := Read(filelocation):

zwidth := Width(zimage):NULL

kernel__length := VectorCalculus:-`+`(VectorCalculus:-`*`(2, k), 1):````

kernel__data := `~`[`*`](Matrix(1 .. kernel__length, 1 .. kernel__length, 1), 1/kernel__length^2):

imheight := Height(zimage):``

imwidth := Width(zimage):NULLNULL

Width(zimage, lower):

Width(zimage, upper):

View(zimage):``

new1zpic := Convolution(zimage, kernel__data):

View(new1zpic)``NULL

new2zpic := zimage:

dummy := 0:

"for i from (k+1)  to (Width(zimage,upper)-k) do     for j from (k+1)  to (Height(zimage,upper)-k) do           for m from 1 to kernel[length]  do               for n from 1 to kernel[length]  do                         dummy:=dummy+kernel[data] (m, n)*new2zpic(i+m-2, j+n-2)                                         end do;              end do;                      new2zpic(i,j):=dummy:                   dummy:=0:   end do; end do;"

Error, final value in for loop must be numeric or character

 

 

 

 

NULL

 

Download Exercise_II-1.0.mw

restart

 

with(ImageTools):``

with(FileTools):````

Input Section

 

NULL

filelocation := "C:\\Users\\Mohammad\\Desktop\\1.jpg":

k := 1:NULL

 

zimage := Read(filelocation):

zwidth := Width(zimage):NULL

kernel__length := VectorCalculus:-`+`(VectorCalculus:-`*`(2, k), 1):````

kernel__data := `~`[`*`](Matrix(1 .. kernel__length, 1 .. kernel__length, 1), 1/kernel__length^2):

imheight := Height(zimage):``

imwidth := Width(zimage):NULLNULL

Width(zimage, lower):

Width(zimage, upper):

View(zimage):``

new1zpic := Convolution(zimage, kernel__data):

View(new1zpic)``NULL

new2zpic := zimage:

dummy := 0:

"for i from (k+1)  to (Width(zimage,upper)-k) do     for j from (k+1)  to (Height(zimage,upper)-k) do           for m from 1 to kernel[length]  do               for n from 1 to kernel[length]  do                         dummy:=dummy+kernel[data] (m, n)*new2zpic(i+m-2, j+n-2)                                         end do;              end do;                      new2zpic(i,j):=dummy:                   dummy:=0:   end do; end do;"

Error, final value in for loop must be numeric or character

 

 

 

 

NULL

 

Download Exercise_II-1.0.mw

f:=sin((x-1)*(y+3))/(exp((x-1)^2+(y+3)^2)-1);
limit(f,{x=1,y=-3});


On running the above code, I don't get a result. I don't understand why, and what are some of the underlying math principles that I would have to use to evaluate the limit of f at (1,-3) if I were to solve this question on paper?

I need to find where the limit of the function:

{1-cos(x*y^3)}/(x^2+y^6)^(1+a) exists/does not exists for different values of a, given 0<=a<=1 and as (x,y)->(0,0).

I've tried writing a procedure that changes a in particular increments but that is clearly not the most efficient way. Are there any rules of limits that I should be using?

 

I've got a set

E:={(x,y,z): x^2+y^2=-2*z-x, z^2+y^2=1} and need to find points of E which have minimal or maximal distance from (0,0,0). I've set up the Lagrangian as F:=sqrt(x^2+y^2+z^2) + L1(x^2+y^2+2z+x)+L2(z^2+y^2-1)

and consequently obtained the equations:

x/sqrt(x^2+y^2+z^2) + 2*x*L1+L1=0

y/sqrt(x^2+y^2+z^2) + 2*y*L1+2*y*L2=0

z/sqrt(x^2+y^2+z^2)+2*L1+2*L2*z=0

for which I've set up
eqn1,eqn2,eqn3 as the three equations and vars:=x,y,z

and used solve() but I'm not getting the right answer( I need to first express x,y,z in terms of L1, L2 and then get values for L1 and L2 by substituting in the constraints and eventually get values of x,y,z.)

How should I implement that?

For example, given a 3d point p(x,y,z), with (x,y,z) as its coordinates. Then it is transformed by rotation and translation, as 

p'=R(p)*p+t(p), where R(p) is a 3x3 rotation matrix that is a matrix of functions of p, and t(p) is a 3x1 vector function of p. 

My question is how to derive dp'/d(as a 3x3 matrix) using maple? 

To make it clear,I want to do it in a way that dp'/dp = ∂p'/∂p + ∂p'/∂R*∂R/∂p +  ∂p'/∂t*∂t/∂p

And I'd like to know each intermediate quantity, such as p'/∂R, R/∂p.


Anyone can help?

Thanks a lot. 

What Maple15 commands will display a Rouleaux tetrahedron or a Meissner tetrahedron?


plot(x^2, x = -2 .. 2)

Error, (in plot) incorrect first argument x^2

 

plot(2);

 

solve(x-1 = 0, x)

Error, (in coulditbe) invalid input: `coulditbe/internal` uses a 1st argument, obj, which is missing

 

``


Download Maple_Worksheet.mw

Hi,

I'm using Maple 18 and none of my worksheets that I've developed on earlier versions work on it. I tried starting a new worksheet with a very simple command (attached) and even that's giving me problems. As you can see, I have no trouble plotting constant functions, but as soon as I put in a variable it breaks down. It won't solve equations either.

FYI I'm using an HP G72 laptop with Windows 7 and no installation issues came up.

Can anyone tell me what's going on here?

Thanks,

Tom

So here is the issue: I have a 50 by 50 tridiagonal matrix. The entries in the first row, first column are -i*x and the last row last column is -i*x; these are along the main diagonal, where i is complex and x is a variable. Everything in between these two entries is 0. Above and below the main diagonal the entries are -1. My issue is that I have to find a conditon on x that makes the eigenvalues real. I am completely new to maple and have no programming experience.. Can someone show me how to this?

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