Search Results for "norm"

...THEORY Complex quaternions have form q = A + B * I + C * J + D * K with A, B, C, D complex I * I = -1 , J * J = -1 , K * K = -1, I * J = K, J * I = -K , J * K = I,K * J = -I, K * I = J, I * K = -J Transpose T takes I into -I, J into -J, K into -K (q1 q2)T = q2T q1T Star complex conjugates A, B, C, D Bar is product of T and Star, Norm(q) = qTq Norm(q1*q2)=Norm(q1)*Norm( q2) q in H1 iff q qT = qT q = 1 4-vector X=t + i*x*I +i*y*J + i*z*K XPRIME = q X Bar(q) for q in H1 Form with real scalar, imaginary spatial is preserved Bar(X) = X and Bar(XPRIME )= XPRIME Norm(XPRIME) = Norm(X) = t*t - x*x - y*y - z*z q=cos(theta/2)+K*sin(theta/2) rotates by theta about z q=cosh(alpha/2)+i*I*sinh(alpha/2) boosts by alpha along x

Our premise when starting this project was that why do we have to dig through arrays of normative values to find the group our patient belongs to. Then proceed to manually calculate its z score and find out where it is on the percentile graph, when we could have a software that could do it for us. We weren’t able to find one in the literature. Thus came the PsiNorm. Currently only a demo for english exists, while Turkish adapted version is fully functional. If you'd like a...