MaplePrimes Questions

What Mapple code for ploting these ten functions ?

Plot these functions. I need urgwent help with these functions :

A=\sum_{n=[1,infinity]}(3n^{2}+7n+1)^{-n}

B=\sum_{n=[1,infinity]}(-1)^{n}(3n^{2}+7n-1)/(3n^{5}+4n+1)

C=\sum_{n=[1,infinity]}(-1)^{n}(n^{2}+n-1)/(3n^{2}+n)

D=\sum_{n=[1,infinity]}sin((phi/2n)+n(phi))

IF n is uneven E=\sum_{n=[1,infinity]}a=(2/n)

IF n is nevenF=\sum_{n=[1,infinity]}a=(-1/n)

G=\sum_{n=[1,infinity]}(n^{-4)}

H=\sum_{n=[1,100]}(1/3)n^{-3}+\sum_{n=[1,100]}n^{-4}

1. For n = 5 plot I=\int e^{\frac{1}{(1+exp((n(2-x))}}

Hello,

I have encountered difficulties with an optimization problem to be solved with NLPSolve. I want to minimize the integral of a parametrized function. However, when I call NLPSolve it seems that the integration variable of the int-command gets replaced for some reason I don't understand. A piece of code is quoted below. Does anybody see what I am doing wrong? Any hint will be appreciated.

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 have the following maple code: restart:with(Statistics):with(plots): X := RandomVariable(NonCentralFRatio(nu, omega, delta)); nu:=3;omega:=3*n; delta:=4/(2*100)*(2.5^2+1.5^2+3.5^2+4.5^2); I then want to try and solve: fsolve(CDF(X,100)=0.9,n); but I get the error: Error, (in fsolve/checkrange) cannot determine if this expression is true or false: 1.*abs(Re(_t))+1.*abs(Im(_t))

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: 

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.

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