The following is the matter of so-called central limit theorems. We have the sum of random variables S:= ksi[1] + ksi[2] + .. ksi[n]. We know only that the number n is large, the variables are independent or weakly dependent, and each ksi[j] is small with respect to S in a certain sense.

By the  central limit theorems it implies that S is close to the normal distribution.

Here is the procedure which illustrates the Lindeberg-Levi theorem ( see

Hi,

My question is fairly straight-forward, I hope someone has an equally straight-forward solution. I would like to be able to illustrate the convergence of the distribution on the mean of i.i.d random variables to the normal distribution. For example, I'd like to visualize (by way of a histogram plot) that as n increases arbitrarily, the mean of n i.i.d. exponential random variables with mean 10 converges to a normal distribution.

Thanks!

I am considering bu;ying an imac and want to run maple 15. I have a personal library, called Mylib. I use on my windows platform. I use an ini file that maple 15 reads when it first opens. In this file I modify libname with the statement,

> libname:=libname,"c:\Mylib";

My question is how do I do this on the mac version of maple?

I'm looking for a simple way, e.g. a function, to convert a system of symbolic equations in its matrix form.

Like

(a+1)x - by + cz = j

2x  + (sqrt(d)+e)y - fz = k

(g-h²+1)x - iy - 4z = l

shall be transferred to matrix / vector form

A . x = b

where A i the matrix of the coefficients, x i the vector of the variables (x,y,z), and b is the right-hand-side vector (j,k,l).

The number of equations...

Hello,

I'm new at maple and I was wondering if someone could help me. I've got a function with 3 variables:

v1'=(v1*sqrt((1+u)^2-4*u*cos(b)^2))/(1+u)

Can you plot this function? Or do I have to give one or two variables a value and plot the function 3 different times with just one variable?

Thanks

I was trying to use the LeviCivita in the physics package to type the left side of the following equation and let maple compute the right side, where it considers the totally antisymmetric tensor identity which reduces to 4 Kronckers. Then the Kroneckers disappear and give rise to the right hand side. But I don't know how to tell maple to do this. There is also another Levi_Civita command in the tensor package.

I'm Trying to calculate the Determinant of a 3 x 3 Matrix with symbolic entries with maple 15. But the Determinat function gives a wrong result. From the C+A-1 expression it uses only the C and ignores the rest.

When I calculate it "manually" the result is correct.

Here is what I'm doing:

The Maple file is attached to this question.

arclengthproblem.mw

When a try approximating this problem by five decimal places, it doesn't do it. How do you fix this?

Please, consider this example:

I wonder why the match function returns TRUE and expressions that depend on the main variable x. I hope that someone can give me an explanation.

Best, Henning

I have simulated 50 trajectories of an ODE system, with  a command roughly like this:

myPlot :=
 seq( plots:-odeplot
    ( Sol(i)
    , [ u(t), r(t), q(t) ]
    , t = T .. 0                          ### Time Run Backwards
    , 'numpoints' = 2*abs(T)
    )

Maple 15, Windows7x64, Standard v. Classic

I have noticed that, on my system, the smoothness of some INLINE plots is better in Classic than in Standard. Is this some regression or some installation-specific quirck I wonder?

In Tools->Options, I have plot anti-aliasing enabled (whatever that is).

This looks alright in Classic

plots:-implicitplot(
  [ x^2 + y^2 = 1, x^2 + y^2 = 2 ]
  , x = -2 .. 2
  , y = -2 .. 2

I need to solve an optimization problem. Please offer your insights.

Suppose there are two functions (my case is more complicated than this example).

f(x,y)=x-y, 0<x<1, 0<y<1

g(x,y)=x*y, 0<x<1, 0<y<1

The goal is to get the maximum values for f(x,y) and g(x,y). However, it is not simultaneous, but sequential. In the first stage, only x can be chosen to maximize f(x,y); in the second stage only y can be chosen to maximize g(x,y...

Hi,

I have n second order differential algebriac equations (symbolic). I need to convert this system to [A]{X''} + [B]{X'} + [C]{x} + D =0,  where X is the column vector containg the variables and A,B,C,D are the coefficent matrices of X'', X',X and the constant term matrix respectively.

Is there a way to generate this matrices in Maple?

Thanks.

Giving a expression as follows, how to extract  powers of g to a list?

 In this example the list of powers of g is {2,1,2}

Hi all,

      i am new to maple before getting this software i need to know how it works in order know that i want trial version of maple software how to get this trial version please suggest me some idea...