My teacher gave us an assignment where we have to plot two polar equations on the same graph using the display command, to find the points of intersection.  I thought i was doing it right but apparently not. the equations are: r=1/1-cos(t), and 3/1+cos(t). Could you please help?

Some time ago, I had a blog post about a compendium of inequalities,  Some people took a look and found problems in that paper.  So I took the time to track down the author and point him to the mapleprimes page.

He got back to me some time later, thanking me for pointing out the errors.  But in the same email, he pointed me to 2 other papers, http://xxx.lanl.gov/abs/0707.2098 and http://xxx.lanl.gov/abs/0707.2584 which contain (interesting?) conjectures which seem amenable to Maple exploration. I meant to look at these myself, but it has now become clear that I won't for quite some time yet. Perhaps these will pique the curiosity of some MaplePrimes member.

When a system of symbolic equations of order five or greater is solved by Maple, the function RootOf compares in the solutions. In order to get an explicit form of all the possibles solutions I set the option of the solve command:

_EnvExplicit:=true;

The problem is that sometimes the solutions are very complex, involving atan with uge arguments.

My problem is to simplify these kind of solutions.

The only method that gave me some results was:

Expand->"one of the specific simplifying commands as 'factor' "->simplify.

My question is really naive but i need help...

Is there a way with Maple 12 to determine if your PDE is elliptic,parabolic or hyperbolic type?? And more important, which numeric method is best suited for each one??

Thanx!!

Hi,

I have a problem with code generation to matlab. I have a model in maple that I have sampled for som values and I now want to import these matrices.  The problem is that I want to name the matrises "A(:,:,1)","A(:,:,2)",... i.e. "A(:,:,i)", 3d matrices in matlab.

hi all.

I have calculated an integral. the answer is a polynomial containing large power of  parameters ( i.g. x).

how could I reasonably simplify the polynomial? it has a long function too. ( 5 pages)

thanks.

Hi everyone,  to have an example, the following recurrence is given. I want to proof that it converges (and determine the limit for n->infinity).

g:=a(n+1)=3/2+sqrt(1+a(n));

Maple cannot find an explicit  form of a(n), typing rsolve(g,a(n)); gives the input back. One standard approach would be calculating the possible limit by solving the fixed point equation

a=3/2+sqrt(1+a)

this isn't a problem ofc. Further it is necessary to show a(n) is bounded and grows monotonous. So my question is, is Maple a useful tool for mathematical induction ?

HOw to use RSA with the modulus n = 119 and the exponent e = 7, with the 95-character
alphabet consisting of the printable ASCII characters to encrypt the word “Yes”.
so that Y=58, e=70, s=84. ( encryption should be as a list of three numbers.)

Solve using Maple:Twenty-one pirates are dividing their horde of gold dubloons. Since they are a
democratic outfit, they first try to divide the coins evenly, but they find there are 19
coins left over. The “discussion” about how to divide the remaining coins results in
only 16 pirates still needing to divide the horde (the remaining five went to a place
where you can’t bring money or anything else with you). The redivision among
16 pirates leaves 1 coin left over, and three of the pirates make a grab for it. These

I’ve developed a procedure in the Maple as follows:

Hi all.  How do I plot sin(x) such that only Pi/2, Pi/, 3Pi/2 and 2Pi appear on the x axis and the values 0, -1 and 1 appear on the y-axis and the axes x and y appear at the appropriate axes?

Thanks.

Very simple question

I want to plot the function y = f(x) but I want the axes to appear rotated (as I show in the picture)

HOw can i do this??? 

Thanks a lot!

If we run the below code we will get a plot of a pure unit root and the serial correlation parameter for a pure unit root

My question is why do we have such a large amount of serial correlation in a process that is supposed to be random?

I ran a simulation and found that the average serial correlation for a 100 pure unit roots was 0.941

It does not seam right.....am I doing something wrong here?

I thought the basic definition of a random variable was serial correlation=zero.

Hello everyone,

I can't succeed in obtaining the complex conjugate of a function like this:

 suu:=x->( e^(-Iq(x)b)*(cosh(q(x)*b)) )^2 - I*sinh(q(x)*b) * e^(-4iq(x)b)

where q(x) is:

q(x)=sqrt(2*m*(V-x))/h

and m, V and h are respectively mass of electron, 1 eV and Plank constant /2 pi.

what I need is |suu(x)|^2 (where the * stands for product and not for complex conjugate!) but succeding in obtaining the complex conjugate of the function wold be enough.

Can you help me?