## Rays from a uniform point and changing location of...

I have the following maple file. Is it possible to instead of having the incoming rays at a vertical at intervals along the x axis, whether to have them emerging from a single point on the y axis, and also whether this point can moved up and down the y axis. Thanks View 3259_mirrorplot.mw on MapleNet or Download 3259_mirrorplot.mw
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## Strange result when calculating Mean symbolically...

I am trying to use the Mean command of the Statistics package to calculate the arithmetic mean of a transformed random variable symbolically. I am using Maple 10. In my case the Mean command gives an incorrect answer. First a simple example, which gives me a correct result symbolically: restart;with(Statistics): X:=RandomVariable(Uniform(-Pi, Pi)); Mean(X+a);#it gives a, it is ok. #and here is my more complicated problem: restart;with(Statistics):X:=RandomVariable(Uniform(-Pi, Pi)); assume(Gt::RealRange(Open(0),Open(1)),Gr::RealRange(Open(0),Open(1))); Mean(abs(1-Gt*Gr*exp(-I*X)));

## Mirroring Probabilities...

Hi, I have three equations Y=f(t) with each equation corresponding to a probability as shown below. Y1=f(t) with probability of 0.05% Y2=f(t) with probability of 5% and Y3=f(t) with probability of 50% If we assume that these probabilities belong to a normal distribution how can I work out the equations for 99.95% and 95%probability.In other words I would like to mirror Y1 and Y2. The idea is to plot all the equations of 0.05%,5%,50%,95% and 99.95% probability in the same plot and create a 3D surface where the axis will be Y,t and P(probability) or even better generate the equation of P=f(Y,t) that will describe this surface.

## The restart command does not work correctly?

by: Maple
This example shows that restart command does not work correctly - it means that it does not clear stack memory(internal memory). The following example shows it. In that procedure there are some mistakes, but I think that the restart command should work correctly whith them. If you execute the following procedure three times (maybe twice, it depends on the computer memory capacity, but I do not amount to more than three times), the Maple system falls down with out of memory (execution stop - the stack ) - why? You call the restart command, so where the fatal error is. It does not depend on the correct usage of statements in the procedure.

## merging arrays...

I have a list of arrays which I would like to merge into a single array. In the case of two arrays (say A and B) I basically want maple to dump them both into a new array in which wherever A[i,j]<>B[i.j] the new array takes whichever is nonzero and if A[i,j]=B[i,j] does nothing. is there any short way of doing this without writing a function which runs through the arrays and compares each element induvidually and outputs the results into a new array?

## sqrt(x^2)...

If you ask most people "what is the square root of 64?" they will answer "8". Of course we know that the technically correct answer is {8,-8}. So I'm a bit confused that when I ask MAPLE to simplify sqrt(x^2) it spits the expression right back to me, but when I tell MAPLE to give me sqrt(x^2) assuming x>0 it gives me x. It seems to me that there are going to be two answers whether or not x>0. That is, the answer to sqrt(x^2) is {x,-x} whether or not x>0. That is, sqrt((-8)^2) = sqrt(8^2) = {8,-8}. So when I am using symbols rather than numbers why does MAPLE give me the answer x for sqrt(x^2) assuming x>0, but give me the answer sqrt(x^2) when I don't include the assumption?

## do loop construction...

Is there a secret to entering a do loop construction in Maple? I have tried constructing a simple do-loop involving several different statements under one loop. The problem is, every time I try to enter the first line of the loop, the "for i=...do ", I get an error message indicating "Unterminated loop". I guess it is looking for the "end do" statement but I wish it to end only after several statements have been executed within each cycle of the loop. This must be really trivial but I'm new to this so.. Thanks.

## Chopped off plot using geometry,draw...

When I use the labelling facility in the geometry package, the plot area does not include all of the drawing. For example, in the code below the word "top" at the top of the circle is cut off. restart;with(geometry):with(plots): point(top,0,1):point(bottom,0,-1): circle(c,[top,bottom]): draw([c,top,bottom],printtext=true,axes=none); I see it if I have axes, but I want to use axes=none. It seems like a bug. A couple of workarounds failed to solve the problem. I added the view option to draw: draw([c,top,bottom],printtext=true,axes=none,view=[-5..5,-5..5]); expecting to see a smaller circle. Instead the circle appears the same size, still with the word "top" chopped off. Surprisingly, the points are drawn in LARGER symbols! So I thought that using the view option in display might override that internal options that draw uses:

## Creating an infinite well function, without using ...

Hi everybody. I'm working on a project on the behavior of the Schrödinger wave-function. I want to analyse the system with a given potential function V(x), which has to be infinity for all values of x

## Hamiltonian, phase diagram...

Hi from Italy. In the linked file we are asking you if someone of you is able to help us.. Sorry, we've to solve a problem before tomorrow evening... Helpppppp, please!!!!! Thank you very much! coala Download 3743_AK model maple.doc
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## Maple 10 updates

by: Maple
I have a question about Maple 10 updates. If I would like to update my Maple 10.00 installation which of the updates should I install to get completly Maple 10.06. Thank you. Vladimir

## function definition, sum, fsolving...

Before I get completely obfuscatory with this, let me try to explain what I m trying to accomplish: I want to generate a display of an x solution for each value of n to the expression x^n - sum(x^i,i=0..n-1)=0 where n=2..12. Would anyone be able to provide the proper Maple expression(s). Thanks.