I am generating polynomials and I want to iterate each term in the polynomial and do something accordingly. I collect the first term. I wish to extract the tuples of 1,1,1 and 2,1,1 out and do some calculations.... Do you know how I could achieve that? Thank you:)

expr1 := mu*(h[1, 1, 1]+h[1, 1, 2]+h[1, 1, 3]+h[1, 1, 4])+J1*(h[1, 1, 1]*h[2, 1, 1]+h[1, 1, 2]*h[2, 1, 2]+h[1, 1, 3]*h[2, 1, 3]+h[1, 1, 4]*h[2, 1, 4])+2*J2*(h[1, 1, 1]*h[1, 1, 3]+h[1, 1, 2]*h[1, 1, 4]+h[1, 1, 3]*h[2, 1, 1]+h[1, 1, 4]*h[2, 1, 4]);
mu (h[1, 1, 1] + h[1, 1, 2] + h[1, 1, 3] + h[1, 1, 4]) + J1 (h[1,

1, 1] h[2, 1, 1] + h[1, 1, 2] h[2, 1, 2]

+ h[1, 1, 3] h[2, 1, 3] + h[1, 1, 4] h[2, 1, 4]) + 2 J2 (h[1,

1, 1] h[1, 1, 3] + h[1, 1, 2] h[1, 1, 4]

+ h[1, 1, 3] h[2, 1, 1] + h[1, 1, 4] h[2, 1, 4])
expand(expr1);
J1 h[1, 1, 1] h[2, 1, 1] + J1 h[1, 1, 2] h[2, 1, 2]

+ J1 h[1, 1, 3] h[2, 1, 3] + J1 h[1, 1, 4] h[2, 1, 4]

+ 2 J2 h[1, 1, 1] h[1, 1, 3] + 2 J2 h[1, 1, 2] h[1, 1, 4]

+ 2 J2 h[1, 1, 3] h[2, 1, 1] + 2 J2 h[1, 1, 4] h[2, 1, 4]

+ mu h[1, 1, 1] + mu h[1, 1, 2] + mu h[1, 1, 3]

+ mu h[1, 1, 4]

In my research a I need to solve the linear equation (getting its null space) under some constraints.

The matrix is given below:

The constraints shall be (x[1]...x[16]>0, x[17]...x[20] arbitary...)

The solutions shall actually be a canonical combination of a lot of vectors, (canonical combination means possitive sums of vectors). And I wish to get those vectors. is there a way that I could achieve this by Maple?

The contents of the "list of list" are hidden... I want to display them in the worksheet without double cliking them to open them... what shall I do? Thank you.

I have a linear space spanned by the column vectors of:

I want to know its exact intersection of the first quadrant in 16 dimensional space (meaning Sum(a[i]*e[i]),i=1..16), how could I accomplish it? The output could possibly be the vectors defining the convex cone in higher dimensional space...

I have an expression (with important physical meaning), I want to transform all the nasty numbers into scientific notations like transforming 203475439 to 2.0347e8.... anyone could help? thanks

:

2.03475439*10^8*(-1.*((203475439/5340588290000000000000000000)*n*Pi^2./V^1.+(1/2)*sqrt((41402254276242721/7130470820821281025000000000000000000000000000000000000)*n^2.*Pi^4./V^2.+(10681176580000000000000000000/610426317)*V+(1/2430046173368675201713890432319677067995801002565000000000000000000...