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14 Feb 2015: Theessential techniques are described in Chapter 5, which introduces the concept of themultivector derivative [18, 24]. ... ArBs 〈AB〉|sr| (1.23)ArBs 〈AB〉sr, (1.24). which we call the interior and exterior products respectively.

14 Feb 2015: Wecan therefore write. DA = DA DA, (23). where. DA a(aDA) (24)DA a(aDA). ... Hence, using equation (24) again, we find that. ω(a) = B(a) 12a(bB(b)).

5 Feb 2015: 24. should look at the equations of motion for the fiducial frame σi = h1(ei),. ... andu = g1(u), (4.24). are conserved. This follows from. u = Enω (4.25)u = Enω.

2 Feb 2015: We shall demonstrate the equivalence with the Pauli matrix algebraexplicitly in a companion paper [24], but here it suffices to note that the matrices. ... From this basis set of vectors we construct the 16 (= 24) geometric elements ofthe STA:.

5 Feb 2015: B Q) Q = 2(QB B) (4.24). 11. for any bivector B. ... eiSn eiRn , (5.24)eiSn Rnei , (5.25). 18. and the latter combines with Eq.

22 Feb 2015: theory (Clifford, 1870s)! R  expB/2. MIT1 2003 24. Rotor Interpolation• How do we interpolate between 2 rotations?• Form path between rotors. •

22 Feb 2015:    0. MIT2 2003 24. Spacetime Vector Derivative• Define spacetime vector derivative. •

22 Feb 2015: MIT3 2003 24. Singlet State• An example of an entangled,or non-local,.

5 Feb 2015: 4.33). 17. By applying (4.31) to (4.33) and using (4.24), we find that. ... Our final results concern the functional derivative of the inverse function, givenby (2.24).

5 Feb 2015: For these we find:. p = µρσφ,mρv = µρσφ 12 (ρ)σ3, (3.24). ... r, (5.24). and generate ψ(x) by using the relation. ψ = φ Eφiσ3.