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Showing 2 open source projects for "theta"
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Quaternion Lorentz
Complex quaternion calculator with Lorentz boosts and rotations
... q1T Star complex conjugates A, B, C, D Bar is product of T and Star Norm(q) = qTq can be complex, even zero q in group 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 Bar(XPRRIME )= 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 -
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