5.1 Subspace a=e1 b=e2 c=e3 vector a+2*a a+b 2-vector a^b 2*a^3*b a^a a^b+a^c a^(b+c) 3-vector a^b^c b^a^c a^b^a d=e1+e2+e3 a^b^(2*c+3*d) 2*a^b^c+3*a^b^d a^b^(c+2*a+3*b) 5.2 Outer product algebra a^(b^c) (a^b)^c a^b^c 2^a a^2 2*a a^b^c^d 5.3 Contraction 5.3.1 lcont(a, 3*a) lcont(a, 3*a^b) a^b lcont(d, a^b) 5.3.2 lcont(a^b, c^d) 5.3.3 lcont(a, a^b^c) lcont(b^a, a^b^c) lcont(a^b, a^b^c) 5.3.4 lcont(2, 3) lcont(2, a) lcont(2, a^b) lcont(2, a^b^c) lcont(c, a^b) 5.4 Norm norm(2) sqrt(lcont(2,2)) norm(2*a) sqrt(lcont(2*a, 2*a)) norm(2*a^b) sqrt(lcont(2*b^a, 2*a^b)) norm(2*a^b^c) sqrt(lcont(2*c^b^a, 2*a^b^c)) 5.5 Dual dual(a) dual(a^b) dual(a^b^c) dual(3) I = a^b^c -lcont(a, I) -lcont(a^b, I) -lcont(a^b^c, I) -lcont(3, I) dual(dual(a^b)) norm(dual(2*a^b^c)) 疑問 縮約(lcont)と内積(.)は違う？
