Hi,
I need your help for this problem, please.

$\mathop  {\sum {...\sum }}\limits_{z_r \in {Q_{2}^{*}}}$ such that

$Q_{2}^{*}=((z_1,...,z_r):z_{j}=0,1,\sum_{j=1}^{r}z_{j}=\ell)$, where $\ell = 0, 1, . . . , r$.

For example. If r=3, $\ell=1$; then we are looking for triples with elements 0's or 1's and sum to 1 i.e. $Q_{2}^{*}={(0,0,1),(0,1,0),(1,0,0)}$. So we would like to sum over theses $z_r$'s.

I appreciate your help.
Hasan

Hi

I have this

diff(q^2*l(a, q)^(1/2)*((1-l(a, q))/(1.1))^(1/2)+(1-a)*(1-q*l(a, q)^(1/2))*q*((1-l(a, q))/(1.1))^(1/2)+a*(1-q*((1-l(a, q))/(1.1))^(1/2))*q*l(a, q)^(1/2), a)

where l(a,q) signifies that l is function of a and q, specifically

RootOf((330578512439669421489*sqrt(1-a)*q^2*sqrt(a)-330578512439669421489*sqrt(1-a)*q^2-330578512439669421489*sqrt(a)*q^2+330578512439669421489*q^2)*_Z^4+(-165289256228925619836*q-165289256228925619836*sqrt(1-a...

Can someone please help me to understand if what follows are four separate solutions.  And if they are, could you also help me to understand what they actually mean.  I  don't understand the 'RootOf' in them.

w1 = RootOf(( v1^2+v2^2+v3^2)_Z^2-1,label=_L3) w*v1,

w2= RootOf((v1^2+v2^2+v3^2)_Z^2-1,label=_L3)w*v2,   

w3= RootOf((v1^2+v2^2+v3^2)_Z^2-1,label=_L3)w*v3,   

b= RootOf((v1^2+v2^2+v3^2...

My first equation is a vector equation which results in three separate equations and four unknowns:

W x V - [( A / |A|)* |W|*|V|*sqrt( 1 - b^2 * (|W|^2/|V|^2)] =0

Where W,V, and A are all vectors with three components.  The four unknowns are w[1], w[2], w[3], and also b.

The other equation i have is that w[1]^2 + w[2]^2 + w[3]^2 = |w|^2, where i know |w|^2.

This makes four equations and four unknowns.

I know v[1],v[2],v[3],a[1],a[2],a[3] and |w|.

Is it possible to switch between worksheet mode and document mode? If yes, how?

Hello everybody,

Consider I have a plane equation: x^2+y^2 + z^2=8

Or every formula of hyperboloid, or another similar equation.

I want you to explain me how to convert from plugged form to the interpreted form and to parametric form such equations.

Please show me an example, as you know every plane equation can be parametric, interpreted and plugged.

Hope you understand what do I mean, 3 types of presentations of the plane equation.

I want to compute expected utilities, i.e. I have a random variable and a utility function, e.g.

with(Statistics);

X:=RandomVariable(Normal(mu,sigma));

u:=t->1-exp(-phi*t);

and now I want to compute the expected utility, i.e.:

When Maple displays the results of a do-loop, it usually assigns only one label (e.g. '(2.1)') to the whole bunch of results.

Is there a way to have Maple assign a label to each expression resulting from some do-loop commands?

I refer to a specific solution using the label. I get two equations after using solve, and I want to introduce them in another system to solve applied again.

dear friends:

  i do some working with physics package.i met a problem that  i can't solve .i want you to help me.

thanks alot.

with(Physics):       Am := Annihilation(x); Ap := Creation(x)

the exprssion is collect --Physics:-AntiCommutator(Am,Ap) = 1

the result is not simple enough--[Ap.Am, Ap]_=Ap+Ap^2.Am

because Ap^2.Am=0 in quantum,

so I just want to get the result--[Ap.Am, Ap]_=Ap,but fail.

I am building a robot arm,now I want to replace the rigid arm with the flexible arm. How can I control the arm's form?

Please explain me why it happens:

with(LinearAlgebra);

MatrixInverse(`<|>`(`<,>`(a, c), `<,>`(b, d)));

Error, MatrixInverse is not a command in the LinearAlgebra package

WHY? Whats wrong, please explain me?

Hey Guys,

I am trying to plot a graph using the following code:

with(plots); restart;
a := sum(m^i*exp(-m)/factorial(i), i = 0 .. c);
l := [];
for c from 0 to 40 do
l := [op(l), a]
end do;
plotlist := [seq(plot(l[n], m = 0 .. 40), n = 1 .. nops(l))];
plots[display](plotlist);

I would like to plot this fuction as a loglogplot.  Can anyone help me with this?

Thanks in Advance

Hi guys,

I am dealing with a function, kappa:=6*log(R)/(R^2). To plot this, I use the command plot([kappa,R,R=0.99..6]).

However, I want the first branch of the graph to be coloured in fully, and the second branch to be dashed. Is this possible? I think I need to split the graph in 2 using the command line.

Thanks in advance

Hi,  I've been looking for a soln for my problem and found this thread quite relevant.

Here's what i have is

and then I tried to run this maximize

And just like the problem i have with plotting values from this procedure, i have the following error:

Error, (in PEffSQ) cannot determine if this expression is true or false: eg2 <= eg1

Any suggestions?

Thanks in advance!