What is the pattern in the following polynom: (how to generate them) 

1:     12 n^2 + 12 n + 1

2:    300 n^3 + 450 n^2 + 160 n + 5

3:   840 n^4+1680 n^3+1030 n^2+190 n+3

4:  1260 n^5+3150 n^4+2730 n^3+945 n^2+107 n+1

5:  27720 n^6+83160 n^5+93030 n^4+47460 n^3+10689 n^2+819 n+5

1:  6n + 5

2:  150 n^2 + 200 n + 55

3:  420 n^33 + 770 n^2 + 410 n + 57

4:  630 n^4+1470 n^3+1155 n^2+343 n+29

5: 13860 n^5 + 39270 n^4 + 40740 n^3 + 18711 n^2 + 3591 n+205

In the Belgium lottery they pick 6 numbers out of 42   (  there can't be 2 equals numbers being picked out )
Now for my maple homework , i must do some exercices in maple

1 ) Simulate the lottery
2 ) If you partici

I would like to declare spin states; spin up (alpha) and spin down (beta)

such that they form an orthogonal basis not necessarily using Dirac Ket notaion.  I am using the Physics package and Linear Algebra

When I try to use the Dirac Ket notation, I have noncommuting issues with the Cartesian basis

Cart := Vector[column](3, [Ket(X), Ket(Y), Ket(Z)]);

Spin := Vector[column](2, [Ket(alpha), Ket(beta)]);

<p>sys := [diff(v(s, n), n)+diff(u(s, n), s)+diff(xi(s, n), s)+A*n*(diff(c(s), s)) = 0, A1*(diff(xi(s, n), n))+diff(v(s, n), s)-c(s)+A2*v(s, n)+A3*c(s) = 0, diff(u(s, n), s)+2*A2*u(s, n) = A2*(xi(s, n)+A*n*c(s))-A1*(diff(xi(s, n), s))-A2*n*c(s)] The dependent variables are v,u and xi and the boundary conditions are: bc := {u(0, n) = 0, v(s, -1) = 0, v(s, 1)} other things: -1<=n<=1. I tried ans := pdsolve(sys, bc, xi(s, n), u(s, n), v(s, n)) i also tried ans := pdsolve(sys, bc) I keep getting error messages about the dependent variables.

According to my experience so far, maple is stupid in image processing.

Frustrated with its functions.

For example, in plotting functions, only bmp, gif, jpeg is supported

while in image package, only jpeg, tif and bmp are supported.

So we take the intersection, only bmp and jpeg files can be used if i want to use plot and image packages at the same time.

If i want to do image processing on the file generated from the plot, like transparency stuff, it is not achievable!

And it totally doesnot support opacity!!

 

hi all! i am **brand new** with maple 13 as well as trigonometry, which i am using the program for. i have figured out how to plot the unit circle with the command:

<