I have been given the logistics map:   x_n+1 = rx_n(1-x_n) where x_n is a number between zero and one that represents the size of the population in the nth generation as a ratio of the environment’s maximum capacity.
The parameter r is a positive number related to both the reproduction rate and the rate at which the
population dies due to limited resources.  Create a procedure (taking arguments r and initial population size x

Is this really the answer we want?  

> sum(log(n)/n,n=1..infinity);  

Error, (in Zeta) numeric exception: division by zero  

rsolve(a(n)=2/a(n-1)+1,a(1)=1),

thx in advance.

Sorry, this seems like a silly question. But is there an easy way to convert trig funcitons, or even non trig functions to orthogonal (in this case Legendre) polynomials? 

Hello,

I am trying to solve 9 non linear equations in 3 do loops(program attached without loop) and I am using digits:=20; for computing 10 values its takes around 5 minutes. I need to compute around 18000 such values for a plot. It might take several days for this. Is there any mistake in my code which is taking it so long to run or is it just the complexity of the equations.

Secondly, I am trying to compute some calculations to...

Hi,

     So I've got a numerical solution to a D.E. and want to find which parameters (v, theta) cause the second event to occur. Here's my dsolve

> soln:= dsolve({eqx, eqy, inty, intx, x(0)=0, y(0)=0}, {x(t), y(t)}, numeric, method = rkf45, output=listprocedure, parameters=[v, theta], events=[ [ [diff(y(t),t)=0, y(t)

 The first event is "Does the trajectory reach its max at a height less than 3.05m? If so, stop computation"...

Can I create an tensor in the Physics package in Maple 16 with a free index like i=1..N:

A[mu,1]:=A[mu]

A[mu,2]:=B[mu]

.

.

.

and so on? The index is not one of the type gauge, spacetime or spinor.

Can you expalin the difference between the gaugeindices, spinorindices,and spacetimeindices in the Physics package in Maple 16? 

Hello every one,

I am using similarity transformation to transform a PDE into an ODE.

I got the ode but its in a very ambiguous (unclear) form.

I need help to have the ode in a more friendly reading format.

Thanks

pdetoodest.mw

Is it possible to change the caption of RiemannSum command in Student[Calculus1] package with animation output option, keeping approximate value and number of partitions outputs?  I tried to use typeset command, but I haven’t succeeded.

Best regards,

Emrah

Hi, I have created 2 annulus;

> display(sector([2, -5.5], 2.5 .. 3.5, (1/5)*Pi .. (1/2)*Pi, color = "Niagara Burgundy"), axes = none, scaling = constrained);
%;

> display(sector([5, -5], 1 .. 1.5, (1/5)*Pi .. 2*Pi, color = "Green"), axes = none);

But I want the green annulus to cross the Niagara Burgundy annulus at the points where the green annulus is open. The green annulus is open with an angle...

Hi,

I have succesfully created a annulus. Because I am creating a garden, I am interested in making circular shrubs in the annulus. I mean an annulus filled with small circles.  How do I do that?

I have this annulus;

display(sector([4.5, -5.5], 2.5 .. 3.5, 0 .. 2*Pi, color = "Green"), axes = none, scaling = constrained)

the radius of the small circles should be: (3.5-2.5=1)

I am trying to write out a code to solve for current in a LRC circuit. I have written a code that I think is capable of doing this but keep getting a recursive assignment message in my for loop. I have looked it over about a hundred times and can't see where I have defined a variable in terms of itself. Any help on this would be greatly appreciated. A copy of my code so far is listed below.

> with(plots);
> u := proc (t, Q, dQdt) options operator, arrow; 0.15e-2*cos(omega*t...

Hey all,

Just started using maple for one of my university courses and am having some problems trying to implicity differentiate a question in one of the problem sheets I have to do.

I am trying to find y' for cos(exp(xy)) = x and the command:

implicitdiff(x = cos(e^xy), y, x)

results in a FAIL. Am I doing something wrong?

Thanks!

Hi,

I'd like to verify the Routh-Hurwitz criteria for a 5th degree polynomial. For the last condition, maple computed the quantity. However when I want to expand (with the commands expand or simplify) this expression (in order to check it sign), maple can no longer display it. In fact Maple calculated the expression but cannot display because when I put a colon in front a the expression, it's okay. So I'm looking a way to display those this result. By the way it's a expression with 43302 terms.