hello experts,

I was using maple for a physical  problem,

and things turned very complicated with a equation with bessel function in it,

like this and,

which include complex,

the whole equation is as followed:

the variable is f and RV,,dependent variable is RV.

how am I supposed to plot RV when f=100..4000?

it is certain RV has real part and imaginary part,maybe i need a 3Dplot?

please let me know if you have any idea.

best regards,

Download bessel_in_equation.mw

how can I print my equation or configure maple so that they don't try to autofit themselves in the window? and what would the best way to export them to MATLAB be? I know there's the codegeneration command.

For example, I noticed that the output of some commands like StateSpace prints the equations in a way that if they are too long, they won't try tu fit, but rather it lets you scroll to the right:

Hi,

Although everyone one might know, but still I want to clarify the concept of Sensitivity analysis. Suppose we have an objective function Z in which we have two variables X & Y and two parameters a and b. So in sensitivity analysis, we systematically change the values of parameters ( for eg. changing value of "a" by 20%, then 40%, then 60%, similiarly for parameter "b"). At a time, we only change the value of one parameter and the values of other parameters remain fixed to their original value. Then we would again solve the model ( ie. objective function Z) and calculate the new values of objective function and variables.  Then we try to see the impact of parameter change on the value of objective function Z and on variables X & Y.

The formula for sensitivity analysis for parameter a is  for objective function Z =

 (new values of objective function  - old value of objective function)*100 / (old value of objective function)

Here new value of objective function Z denotes when we use changed value of paramter a (keeping other parameter values fixed to their original value) and old value of objective function denotes value of Z with all parameters (including parameter a) at their original value

Although I can do it by a for loop but it is not an efficient procedure and also time consuming. Can anybody suggest whether any package suitable for sensitivity analysis is available in maple.

Thanks for your attentive reading of problem.

Thanks and Regards,

Nilesh

Is there any command or package in Maple that computes blow ups? I didn't find blow up in the help.

Please simplify the expression in image.Kind Regards,

how would you interpret the solutions to this:

>int(sin(y/2)^2/(x*(x-y)*y^2), x=omega__ir*t..omega__c*t) assuming t::positive, omega__ir::positive, omega__c::positive, omega__c>omega__ir;
 

which leads to the expression shown in the screen shot. In particular, I'm interested in the condition for the solution to be "undefined"

thanks.

Hi,

I want to calculate the Jacobian of my function in terms of x,y,z. It is a Gerstner function and I need to caculate the normal of the displaced point. This can be achieved by getting the Jacobian Matrix. However when using Maple it isn't caculating it. The way I'm calling it is below. I have a vector function for tx,ty,tz:

with(VectorCalculus);
Jacobian([tx, ty, tz], [x, y]);

I'm not well versed in Maple I was wondering if anyone can help me out on how to get the Jacobian Matrix for tx,ty,tz

Best Regards

Paul

I have an excel macro file (enable macro or save as macro and run) in which the colour of cells keep changing by a macro named macro2.

Can we achieve it in maple or maple sim?

Any one please suggest a way for me to try out.

COLOR1.xlsx

Thanks.

Ramakrishnan V

I dragged into model space prismatic FixedFrame and RigidBody components and prismatic joint along y axis. I also set mass m = 1 kg. The manual says set K_S = K_S and K_K_d in inspector parameter setting. It did not work out. So i set values 12 and 0.1 for K_S and K_d. I sreated subsystem sub of rigidBody and followed the following instructions,

Quote" PrismaticJoint.PlacethePrismaticjointandRigidBodyinasubsystemcalledsub.Thisallowsthe EquationTemplatetogenerateequationsspecificallyfortheselectedsubsystem.
3. ClickTemplates( )intheMainToolbarandselecttheEquationstemplate. 4. IntheAttachmentfield,provideaworksheetnameandclickCreateAttachment.Your MapleSimmodelopensinaMapleworksheet,withtheSubsystemSelectionwindow.

ClickLoadSelectedSubsystem.Thesubcomponentparameterandvariablesload automaticallyintheParameterandVariableManipulationareas"

After this i wanted to modify the equations. I could not. The same equation is reassigned.

Parameter and variable rows - are as shown in manual, but a blank row not available for user's use. But how do i get the variable x(t) there and rename it?

Thanks for an example of this chapter with an application of its use., if available with anyone?

Ramakrishnan V

dear all,

I have a problem when I try to find points on boundary of the surface.

the surface ploted from a matrix as follow:

please help me to generate a bondary curve of this surface.

Thanks

Having difficulties solving pde. Below is the problem and its not plotting. Anyone with useful informations. Please

restart;
with(PDEtools, casesplit, declare);
with(DEtools, gensys);
with(Physics);

PDE := diff(theta(x, t), x, x)+beta*theta(x, t)*(diff(theta(x, t), x, x))+beta*((diff(theta(x, t), x))^2)-M^2*theta(x, t)-S[h]*(theta(x, t)^2)+M^2*G*(1+E*theta(x, t))-P[e]*(diff(theta(x, t), x)) = diff(theta(x, t), t);
/ d  / d             \\
|--- |--- theta(x, t)||
\ dx \ dx            //

                      / d  / d             \\
   + beta theta(x, t) |--- |--- theta(x, t)||
                      \ dx \ dx            //

                           2                                     
          / d             \     2                               2
   + beta |--- theta(x, t)|  - M  theta(x, t) - S[h] theta(x, t) 
          \ dx            /                                      

      2                              / d             \    d  
   + M  G (1 + E theta(x, t)) - P[e] |--- theta(x, t)| = --- 
                                     \ dx            /    dt 

  theta(x, t)
BC := theta(x, 0) = 0, Dt(theta(0, t)) = 0, theta(1, t) = 1;
     theta(x, 0) = 0, Dt(theta(0, t)) = 0, theta(1, t) = 1
Codes := [beta = .1, M = .1, S[h] = .1, G = .1, P[e] = .1, E = .1];
S1 := pdsolve({BC, subs(Codes, PDE)});
PDEplot(S1, [[t, theta(x, t)], [x, theta(x, t)]], t = 0 .. 1, x = 0 .. 1, iterations = 2, numchar = [10, 10], stepsize = 0.5e-1, numsteps = [-5, 5]);
   PDEplot([[t, theta(x, t)], [x, theta(x, t)]], t = 0 .. 1, 

     x = 0 .. 1, iterations = 2, numchar = [10, 10], 

     stepsize = 0.05, numsteps = [-5, 5])

Hi

I have two equations as follows:

The goal is finding the parameter 'phi'. This parameter is a positive real numeric constant.

I uploaded two files that they are included two methods to solve the problem.

1.mw

2.mw

Is method in the first file mathematically logical? If it is a correct method, why the command fsolve dosent work?

In file 2, we have 2 equations with further indeterminantes. The constant 'phi' must be minimum possible amount. How we can use the commands like the Minimize in Optimization? Please hint me.

Moreover, if there is a method to solve this problem please help me to know.

Thank you very much 

I am coding a big module to solving my project : analyze function in math, but when I compile my module maple return "Error," but it doesn't tell me what error happened.

I check the maple help and it said:" If no msgString is given, error raises the most recently occurring exception" but I have no exception before. 

This is the pic of that error.

Thank for your help.

Hi,

I have three simultaneous equations  with three unknown variables (E, W, T). When I solve these  simultaneous equations with fsolve command without specifying any range for variables, I don't get desirable root ( equation sol4 in maple worksheet- {E = 0.1007672475e-2, T = .7969434549, W = 0.1937272759e-2}). For this problem, I know the correct root {E = 2843.916504, T = .2782913990, W = 5344.844134} beforehand which maximize the objective function TP (equation sol8 in maple worksheet) and when I specify the narrow range of variables around the already known correct root in the fsolve command, then I get correct root ( equation sol5 in maple worksheet). If I don't know the actual answer (correct roots of the simultaneous equation) beforehand, How  could I get the correct root with fsolve command because it is very tedious work to specify different range in fsolve command repetitively to solve it by trial and error.

I also tried Direct Search method as suggested in this forum  but DirectSearch is also not able to provide the correct root (equation sol6 in maple worksheet). If I specify the narrow range around known root in direct search method ( equation sol6a in maple worksheet), then it would provide close to optimal root but if I don't know the correct root beforehand, then I couldn't specify the narrow range of variables, then how can I get correct root through direct search command.

Equation sol10 in maple worksheet  (objective function value at correct root) confirms that {E = 2843.916504, T = .2782913990, W = 5344.844134} is the correct root because it provide the value of objective function (TP) equal to 78285.85621 as opposed to negative value (TP value -12.53348074 in equation sol9)  produced by incorrect root  {E = 0.1007672475e-2, T = .7969434549, W = 0.1937272759e-2}).

Is there any method which would provide all the roots of these simultaneous equations which also include correct root. Maple worksheet is attached.

I am trying fsolve and direct search method with known root so that I could get the proper procedure to get the correct root which I can apply to another problem (set of similar simultaneous equations) for which I don't know correct root beforehand.

Thanks for your anticipated help.fsolve_question.mw