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Diffstat (limited to 'src/input/clif.input.pamphlet')
-rw-r--r-- | src/input/clif.input.pamphlet | 73 |
1 files changed, 73 insertions, 0 deletions
diff --git a/src/input/clif.input.pamphlet b/src/input/clif.input.pamphlet new file mode 100644 index 00000000..25d6c0ad --- /dev/null +++ b/src/input/clif.input.pamphlet @@ -0,0 +1,73 @@ +\documentclass{article} +\usepackage{axiom} +\begin{document} +\title{\$SPAD/src/input CLIF.input} +\author{The Axiom Team} +\maketitle +\begin{abstract} +\end{abstract} +\eject +\tableofcontents +\eject +<<*>>= +-- Input generated from CliffordAlgebraXmpPage +)clear all + + +-- Input generated from ugxCliffordComplexPage +)clear all + +K := Fraction Polynomial Integer +m := matrix [[-1]] +C := CliffordAlgebra(1, K, quadraticForm m) +i: C := e(1) +x := a + b * i +y := c + d * i +x * y + +-- Input generated from ugxCliffordQuaternPage +)clear all + +K := Fraction Polynomial Integer +m := matrix [[-1,0],[0,-1]] +H := CliffordAlgebra(2, K, quadraticForm m) +i: H := e(1) +j: H := e(2) +k: H := i * j +x := a + b * i + c * j + d * k +y := e + f * i + g * j + h * k +x + y +x * y +y * x + +-- Input generated from ugxCliffordExteriorPage +)clear all + +K := Fraction Polynomial Integer +Ext := CliffordAlgebra(3, K, quadraticForm 0) +i: Ext := e(1) +j: Ext := e(2) +k: Ext := e(3) +x := x1*i + x2*j + x3*k +y := y1*i + y2*j + y3*k +x + y +x * y + y * x +dual2 a == coefficient(a,[2,3]) * i + coefficient(a,[3,1]) * j + coefficient(a,[1,2]) * k +dual2(x*y) + +-- Input generated from ugxCliffordDiracPage +)clear all + +K := Fraction Integer +g := matrix [[1,0,0,0], [0,-1,0,0], [0,0,-1,0], [0,0,0,-1]] +D := CliffordAlgebra(4,K, quadraticForm g) +gam := [e(i)$D for i in 1..4] +m := 1; n:= 2; r := 3; s := 4; +lhs := reduce(+, [reduce(+, [ g(l,t)*gam(l)*gam(m)*gam(n)*gam(r)*gam(s)*gam(t) for l in 1..4]) for t in 1..4]) +rhs := 2*(gam s * gam m*gam n*gam r + gam r*gam n*gam m*gam s) +@ +\eject +\begin{thebibliography}{99} +\bibitem{1} nothing +\end{thebibliography} +\end{document} |