login  home  contents  what's new  discussion  bug reports     help  links  subscribe  changes  refresh  edit
Download: pdf dvi ps src tex log

fricas
-- not allowed: )spool pfaffian.output
fricas
)sys
Your argument list is not valid.
fricas
)set message test on
 
fricas
)set message auto off
 
fricas
)clear all
All user variables and function definitions have been cleared.
--S 1 of 9 B0 n == matrix [[(if i=j+1 and odd? j then -1 else _ if i=j-1 and odd? i then 1 else 0) _ for j in 1..n] for i in 1..n]
Type: Void
fricas
--R
--R
Type: Void
fricas
--E 1
--S 2 of 9 PfChar(lambda, A) == n := nrows A (n = 2) => lambda^2 + A.(1,2) M := subMatrix(A, 3, n, 3, n) r := subMatrix(A, 1, 1, 3, n) s := subMatrix(A, 3, n, 2, 2)
p := PfChar(lambda, M) d := degree(p, lambda)
B := B0(n-2) C := r*B g := [(C*s).(1,1), A.(1,2), 1] if d >= 4 then B := M*B for i in 4..d by 2 repeat C := C*B g := cons((C*s).(1,1), g) g := reverse! g
res := 0 for i in 0..d by 2 for j in 2..d+2 repeat c := coefficient(p, lambda, i) for e in first(g, j) for k in 2..-d by -2 repeat res := res + c * e * lambda^(k+i)
res
Type: Void
fricas
--R
--R
Type: Void
fricas
--E 2
--S 3 of 9 pfaffian A == eval(PfChar(l, A), l=0)
Type: Void
fricas
--R
--R
Type: Void
fricas
--E 3
--S 4 of 9 m:Matrix(Integer):=[[0,15],[-15,0]]

\label{eq1}\left[ 
\begin{array}{cc}
0 &{15}
\
-{15}& 0 
(1)
Type: Matrix(Integer)
fricas
--R
--R        + 0    15+
--R   (4)  |        |
--R        +- 15  0 +
--R
Type: Matrix Integer
fricas
--E 4
--S 5 of 9 pfaffian m
fricas
Compiling function B0 with type Integer -> Matrix(Integer) 
   The type of the local variable res has changed in the computation.
   We will attempt to interpret the code.
   Cannot compile map: PfChar 
   We will attempt to interpret the code.

\label{eq2}15(2)
Type: Polynomial(Integer)
fricas
--R
--R   (5)  15
--R
Type: Polynomial Integer
fricas
--E 5
--S 6 of 9 (a,b,c,d,e,f):=(3,5,7,11,13,17)

\label{eq3}17(3)
fricas
--R
--R   (6)  17
--R
fricas
--E
--S 7 of 9 m1:Matrix(Integer):=[[0,a,b,c],[-a,0,d,e],[-b,-d,0,f],[-c,-e,-f,0]]

\label{eq4}\left[ 
\begin{array}{cccc}
0 & 3 & 5 & 7 
\
- 3 & 0 &{11}&{13}
\
- 5 & -{11}& 0 &{17}
\
- 7 & -{13}& -{17}& 0 
(4)
Type: Matrix(Integer)
fricas
--R
--R        + 0    3     5    7 +
--R        |                   |
--R        |- 3   0     11   13|
--R   (7)  |                   |
--R        |- 5  - 11   0    17|
--R        |                   |
--R        +- 7  - 13  - 17  0 +
--R
Type: Matrix Integer
fricas
--E 7
--S 8 of 9 m1ans:=a*f-b*e+d*c

\label{eq5}63(5)
fricas
--R
--R
--R   (8)  63
--R
fricas
--E 8
--S 9 of 9 pfaffian m1
fricas
Compiling function B0 with type PositiveInteger -> Matrix(Integer)

\label{eq6}63(6)
Type: Polynomial(Integer)




  Subject:   Be Bold !!
  ( 13 subscribers )  
Please rate this page: