Maple Questions and Posts

These are Posts and Questions associated with the product, Maple

I used dsolve to obtain the solution of the attached two systems of ODEs, where the second system depends on the solution of the first one. The obtained results for the first system is accurate, where the obtaind solution of the second one is not accurate. I think the problem is using cubic spline approximation. I would appreciate any advice on how to  obtain accurate results for the second system

Dear guys! I have an equation as

> eq := z-> H*(1-m*h^2*H^(-2)*(1+z)^(3))-2*e*sqrt(1-c^2)*sqrt(r)*h=0:

where

> m := 0.211: h := 0.741: c := 0.80: r := 0.338: e := 1:

At this equation H is an unknown function of z, h is the value of H at z=0 and I want to obtain H(z) actually(for example the graph of H(z) for z=-1..5). So I did as following

> Y := z-> fsolve(eq(z), H=h):    **

plot(eval(H, H='Y(z)'), z=-1 .. 5);

hi

I need to plot the phase portrait of a hamiltonian of 4-dimensional phase-space, and I have an adiabatic invariant, i.e. one of the momenta is conserverd. 

I don't know how to replace a constant for the conserved momentum and plot the 2-dimensional phase space.

I am writiing 

sys := {diff(Y1(t), t) = -(diff(K, y1)), diff(Y2(t), t) = -(diff(K, y2)), diff(y1(t), t) = diff(K, Y1), diff(y2(t), t) = diff(K, Y2)}

and using the DEplot tool as 

Why does fsolve miss some solutions?  For instance fsolve(sqrt(x2+4x-3)=-1+2x,x) only finds solution x=2, whereas x=2/3 is also a solution.

Ratch

f(t)=(cost^3(t), sin^3(t));

 

how do you solve the [tangent T, normal, N, and binormal, B,
 from the curvature k and torsion t of the curve osculating plane] 
above drawn curve? Could you help me
 

How can I display an array in a Mathcontainer Component ?

Thank you very much!

In Igor's "Multivariate Distributions in Maple" http://www.maplesoft.com/applications/view.aspx?sid=6352
he shows how to calculate the Multivariate Normal Distribution. Below I have provided some data
for expected values, covariances etc for a 3 random variable distribution.

Now I try to find the Quantile (with probability 0.05) for such a distribution however Maple fails.
How can I find the Quantile (with probability 0.05...

MAPLE.doc

I want to eliminate the variable u_x from the two equations attached in the document MAPLE.doc. Here u_x and delta are both functions of x. Is it possible to do it in Maple. If possible, how do I do it?

I am "playing" around with the Maplet Builder and I am having some problems:
Let say I have three separate vector columns with data loaded in maple ie A, B and C.

i) I want the user of the maplet to be able to select ie highlight a vector from the three
available vectors which are presented in a drop down box.

ii) A button when clicked on plots the data in the selected vector.


How can I do this with the Maplebuilder??  I will need step-by-step instructions.

My Maple plots contain strings like this one:

[HFloat(undefined),HFloat(undefined),HFloat(undefined)]

Let's call them "offending strings" or "errors", as they would most likely have been avoided by more experienced users. These errors arise while creating odeplots. I suspect that these errors are produced by the option Events of dsolve each time a halt is triggered. This is mere speculation and besides the point of my post anyhow.

Maple seems to understand...

I wanted to set the background color of a plot to black (without axes shown) and figured I could add this to the PLOT structure: POLYGONS([[10,0],[0,0],[0,10],[10,10]],COLOUR(RGB, 0., 0., 0.))

And that worked fine. But I feel that it ought to be easier.

The code below, which is a PLOT structure, seems to be one of the more efficient forms of specifying individual colors for each point in a 2D point plot.

My central question is: what plotting command will construct this?

PLOT(CURVES(Matrix([seq([i,i],i=0..4)],datatype=float[8])),
     STYLE(POINT), AXESLABELS("", ""), VIEW(0 .. 10, 0 .. 10),
     COLOUR(HSV,
            Array(1..15,[0.0,1,1,0.2,1,1,0.4,1,1,0.6,1,1,0.3,1,1],
                  datatype=float[8])
            )
     );

I know that I can call `plot` and pass the m-by-2 Matrix of point data, and specify style=point. But how can I pass in such a nice, efficient float[8] Array to specify the points' colors? I know that the float[8] Array is leaner than a long sequence of HFloats. But even in the simpler case of just two points: how can one pass the `color` option just once to specify the colors to be used for each of the points?

Oh, in case anyone's interested, another old-fashioned (but terser) was to get such a float[8], C_order Array is with the `hfarray` command.

Dear,

I (used Maple12) tried to find the PDF(Y,y) when Y= tan(X) or Y= sin(X) but those cases give FAIL or wrong result

===============================

restart; with(Statistics):
X:= RandomVariable(Uniform(-Pi/4,Pi/4)):

PDF(2*X+1,y) ## work well

but: 

PDF(tan(X),y); # failed
                        ...

Hello! I need to have two simultaneous processes: first is maplet and second .exe. I tried fork and exec but there were errors:

Error, fork (exec) not supported on this platform.

What can I do with it? OS: Windows7 x64 

Using Maple 11.

(Ls+R+1/Cs)*I(s)=V(s)  How can I solve for I(s)/V(s) Please so me steps. Thanks in advance

 

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