Maple Questions and Posts

These are Posts and Questions associated with the product, Maple

I would like to construct a Matrix containing the output of a function f(x,y) for different values of x and y, with the x-values varying (say) along the column and the y-values varying along the row.

I am studying the Julia sets and Mandelbrot. I know how to generate them. I know how to animate a simple function in the real field but until now not able to animate the Julia sets and the Mandelbrot. Is there any user guide or examples that explaines how to animate these two things in 2-D or 3-D?  I already have the user manual guide and the advanced programming guide downloaded from maplesoft but they do not contain any information or examples about what I am looking for.

Assume we have several impedance connected in parallel.

R1, L1, C1, R2

In Mathematics,

R_total = R1 || sL1 || 1/sC1 || R2

Is there possible to calculate the R_total using one of Maple function??

 

 

Hello,

 

Assume I have a transfer function in "s" term and symbolic parameters (A, B, C, and D).

TF := (1+s*D)/(A*s^2 + B*s + C)

 

Question:

How can I convert the above TF in generic form in term of damping ratio?


The generic form can be written as (1+sD)/(s^2 + 2*damp*wn*s + wn^2)


Should I use a "collrect" or "simpligy" function to re-write original TF in generic form?

Let's say we re-write TF in generic form.

The program mint, bundled with Maple, is a very useful syntax checker and program analyzer.

As provided, `mint` works best with Maple program source when contained in plaintext files. Inside Maple itself there is a command maplemint which does some of the same tasks as the stand-alone program `mint`. Unfortunately `maplemint` is quite a bit weaker than `mint` is, for quite a selection of procedures. Also, `maplemint` doesn't have the sort of flexible control that `mint` provides through its optional calling parameters.

I had previously posted a Maple language procedure for the purpose of calling out to `mint` while inside Maple (Standard GUI, or other). Here it is below, cleaned up a little. Hopefully it now works better across multiple operating systems, and also provides its optional parameters better.

I'm trying to plot two "inequal" using "display". I wrote the following code:

how do I solve for y' in the following equation? (diff(y(t),t,t) + (t*(diff(y(t),t) + (4*y) = 0);

Hi,

 

I have the following matrix and I have to find it's nilpotent index...

0 0 0 0 0

6 0 0 0 0

0 2 0 0 0

0 0 8 0 0

0 0 0 3 0

I've tried various things like assigning the matrix to variable A then do a solve(A^X = 0) but I only get "warning solutions may have been lost"

Thanks for any help!

Hi

I am working on a Maplet which among other things plots a graph of a solution to an equation. I am wondering if there is some way I can dynamically change the size of the plotter object in the Maplet depending on the imput function. I can handle measuring the function if you will, I just don't know if Maple 13 has the capability to dynamically resize maplet objects at run time.

It would be a nice feature to have for the Maplet but I don't know if it is at all possible.

Thank you in advance

Our first article introduced Maple's polynomial data structure and explained how Maple spends a lot of time working with monomials. To multiply polynomials having n and m terms, Maple must construct, simplify, hash, and sort all nm pairwise products to determine what monomials are equal. This work is performed even if the result has far fewer than nm terms, making it a rather inefficient way to multiply large multivariate polynomials. This article describes a new data structure for multivariate polynomials that is being added to Maple for a future release.

sdmp packed arrays

9xyz  -  4yz  -  6xyz  -  8x  -  5

Why does the equality fail to hold in case of a positive geometric density (with the location parameter v=1,2,... if in general)? What's wrong: symbolical result or numerical evaluation? Thanks.
with(Statistics):
X := RandomVariable(Geometric(p))+1; M := Mean(X); A := simplify((X-M)/M, size);
Mean(1-A+A^2/(1+A))/M = (Mean(1)-Mean(A)+Mean(A^2/(1+A)))/M; is(%); subs(p = 1/3, `%%`); simplify(%, size); evalf(%)

Hello,

I would like to pass a string array to an external FORTRAN function, can this be done without generating wrapper code...I don't have a FORTRAN compiler...

The Fortran datatype is

  character*255 hf(20)

In FORTRAN I would pass say "hf(1)='nitrogen.fld'", but I'm not sure what datatype to use in the maple define_external function or how to pass the data in?

 

Here are four differential equations that I need to plot with respect to time. Our teacher wants us to use Euler's method in maple 13 to do this but we have no prior experience and I have no idea where to begin. Any help would be appreciated. The step needs to be relativley small. Below are the numerical values for the constants, the four equations and the intial values for the equations.

 

I have a system of PDE's - 14 equations.  I am trying to solve for 9 functions in terms of other functions.  I thought I was doing this correctly.  I have:

 

This is a follow up to my previous post. I have a set of equations I need to solve namely: x1''(t) - 3/85 * sin(wt) = -2k1 + k2 x2''(t) = 12/85 * sin(wt)*(k1 - 2k2 + k3) x3''(t) = 12/85 * sin(wt)*(k2 - 2k3 + k4) x4''(t) =12/85 * sin(wt)* (k3 - 2k4 + k5) x5''(t) =12/85 * sin(wt)* (k4 - k5) I tried using the code: eq1 := diff(x1(t), t, t)-(3/85)*sin(w*t) = -2*k1+k2; eq2 := diff(x2(t), t, t) = (12/85)*sin(w*t)*(k1-2*k2+k3); eq3 := diff(x3(t), t, t) = (12/85)*sin(w*t)*(k2-2*k3+k4); eq4 := diff(x4(t), t, t) = (12/85)*sin(w*t)*(k3-2*k4+k5);
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