First of all, I use Maple 14. I tried to generate N samples from a defined normal distribution and then let Maple calculate sample mean, sample standard deviation and a statistic Z for each of the i samples:

with(statistics):

N:=100: n:=100: X:=RandomVariable(Normal(500,50));

for i to N do X||i:=Sample(X,n): mu||i:=1/n*sum(X||i(1,j),j=1..n): sigma||i:=sqrt(1/(n-1)*sum(((X||i(1,j)-mu||i))^(2),j=1..n)): Z||i:=(mu||i-500)*sqrt(n)/sigma||i: end do:

Hello Everyone,

i try to solve a function for zero (numerically) that contains the cdf of the binomial distribution, but i can't get i work. Maple (13) simply returns the equation without any solution.... Or strikes because of the non-algebraic content...

Let p(x,t) describe a probability for a binary event. Let Bcdf(z-2,n,p(x,t)) denote the binomial cdf such that the probability that this event happens at least z out of n times, where z and n are integers.

I want to compute:

I was reading about Thomas M. Cover Universal portfolios. earthchangesmedia.com/breaking/April2000/0418universal.htm

One of the contributing factors seem to be related to exponential growth. Two sentences caughts my eye:

"With the universal portfolio algorithm, profits grows exponentially. The average of exponential growth rates has the same growth rate as the maximum"

Testing a numerical implementation I want to access data, which are suggested as maximal errors through plotting (with care) to examine that in more detail (so plotting is considered just a help) For univariate functions I am aware how to look into data pairs for the command plot. My function is bivariate and real valued. P:= plot3d( f(x,y), ...) lets me save the result and op(P); op(1,P); arr:=op(3, %); arr; Arr:=convert(%, Matrix); plots[matrixplot](Arr, axes=boxed);

hi im trying to do a pretty simple 2 eq system

and i get

> e1 := 1.74*10^(-15) = D*exp(-Q/(8.31*1473)); > e2 := 7.1*10^(-15) = D*exp(-Q/(8.31*1573)); > solve({e1, e2}, {D, Q}); Warning, solutions may have been lost

any help will be appreciated

In a previous thread here I was looking at working with a noncentral F distribution. I have since found out what I need to be doing is a bit different.

The theory is as follows:

So, The F(1-alpha, nu1,nu2) is actually a Quantile value of the central F distribution. In my case, I'm trying to find a minimum sample size where nu1=3 and nu2=3*n. I transform the Power Equation into a function of into a cumulative distribution question using the formula P(A>B)=1-P(A<=B).

Hello

I am trying to plot a 3d function, but there is a problem.

Here is a screenshot of the problem img130.imageshack.us/img130/6008/3dplotproblem.jpg

thank you

Hello everybody, please help me. I have a system of PDEs and I can't solve it. I have an error as:

"Error, (in pdsolve/numeric/par_hyp) Incorrect number of initial conditions, expected 3, got 2"

I want to obtain the exact (symbolic) solution of

240*t^3 + 144*t^2 - 135*t -52 =0

in the form a+ b*I, where a, b are (symbolic) real numbers.

It is possible if I understand Wikipedia well.

"solve" gives "RootOf" and the "convert(......, radical)" gives quantities such as

(9522 + 45*I* squarerootsymbol(226511))^(1/3)

Thanks.

Sorry for posting the question to two topics (here and there http://www.mapleprimes.com/forum/ihaveequationafterdsolvehowcaniuseonlyonepartitseewhensolutionbecomesequalsmth)

But it seems to me that it fits both of them.

________________

I have a differential equation.

ODE := diff(diff(x(t), t), t)+.2*(diff(x(t), t))-x(t) = sin(t)

ics := x(0) = .5, (D(x))(0) = 5

X1 := dsolve({ODE, ics})

So the solution is:

X1 := x(t) = exp((1/10*(-1+sqrt(101)))*t)*((111/404)*sqrt(101)+111/404)+exp(-(1/10*(1+sqrt(101)))*t)*(111/404-(111/404)*sqrt(101))-(5/101)*cos(t)-(50/101)*sin(t)

Now I need to find out when the solution becomes equal to 1.

But Maple of course does not understand when I write

Hi all I'm having trouble with Maple and cancelling fractions properly. I will demonstrate. As you can see the method using sub and fractions doesn't work whilst directly copying it into a stacked fraction does. I can see that it must be to do with which fraction is the main one (largest bar) but if I put in my variables like they appear it changes and thus doesn't cancel properly. I have also include the maple file with the actual problem in context if that helps. Any help would be much appreciated.

I found the below text here : scienceblogs.com/goodmath/2008/07/back_to_math_solving_zerosum_g.php My question is how can I set up this problem in Maple ?! The objective function should be: min(E(H1), E(H2), E(H3)) constraint: Σp_{i}=1, and ∀i: 0≤p_{i}≤1. solution: p_{1}=0.57, p_{2}=0.17, p_{3}=0.26.

Hello,

I have an expression y, it comes from a calculation. I would like to simplify the argument of arctan in the expression using Maple. (This can be a part of a complicated expression, so I 'd like to automatize this procedure).

Assumptions: s0>0, w>0

y:=cos(w*t-arctan(2*s0^3*w, -s0^2*(-s0^2+w^2)));

Thank you for your help in advance.

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