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Rotating astrophysical systems and a gauge theoryapproach to gravity…
geometry.mrao.cam.ac.uk/wp-content/uploads/1997/01/97Erice_Rotating.pdf16 Feb 2015: tension. The tension in this disk has precisely the form expected. 24. -
Massive, non-ghost solutions for the Dirac field…
geometry.mrao.cam.ac.uk/wp-content/uploads/1997/01/Non_Ghost.pdf16 Feb 2015: We have found that the geometric algebra of spacetime — the Spacetime Algebra(STA) [24] — is the optimal language in which to express GTG. ... ρṘR̃ = 2(meiβ 3πρ)γ0S, (3.24). where we have used the fact that ṘR̃ is a bivector. -
Multilinear Representations of Rotation Groups within Geometric…
geometry.mrao.cam.ac.uk/wp-content/uploads/1998/01/98rotation_groups.pdf20 Feb 2015: ÛR[ψ(a1,. ,ak)] = Rψ(R̃a1R,. ,R̃akR), (24). V̂R[M(a1,. ,ak)] = RM(R̃a1R,. ,R̃akR)R̃. -
Geometric Algebra
geometry.mrao.cam.ac.uk/wp-content/uploads/2002/01/02SheffieldLecture.pdf22 Feb 2015: R1/2 R 0 expB/2. 28/10/2003 Geometric Computation 2001 24. Interpolation 2. • -
errata.dvi
geometry.mrao.cam.ac.uk/wp-content/uploads/2007/01/errata.pdf21 Feb 2015: kr is even or oddrespectively. p.89, equation (4.24), the binomial coefficient is written the wrong way up. ... Chapter 9. p.315, in the paragraph after equation (9.24) the second to last sentence shouldread: The presence of multiple time coordinates can -
Bayesian inference and geometric algebra:an application to camera…
geometry.mrao.cam.ac.uk/wp-content/uploads/2015/02/00CD_Mexico.pdf19 Feb 2015: 3.24). = 1sin θ(sin(1 λ)θ R0 sin λθ R1. ), (3.25). ... 7.93). 24. As in the 2 camera case, the eigenvalue λ returns the value of S3 that we are tryingto minimise. -
proc_acacse2.dvi
geometry.mrao.cam.ac.uk/wp-content/uploads/2015/02/00jl_mexico.pdf19 Feb 2015: 5. 0. 5. 64. 20. 24. 0. 1. 2. 3. 4. -
arXiv:gr-qc/9910099v3 31 Jan 2000
geometry.mrao.cam.ac.uk/wp-content/uploads/2015/02/00NewKerr.pdf19 Feb 2015: ni =1. 2ρ2(r2 a2, (r2 a2). (. 2Mr(r2 a2))1/2. , 0, a) (24). -
arXiv:quant-ph/0004031v3 27 Jun 2001
geometry.mrao.cam.ac.uk/wp-content/uploads/2015/02/00QIP.pdf19 Feb 2015: D ισ1z ισ2y(3.24). |10〉 ισ1yD ισ1x ισ2z ισ1x. D ισ1y ισ2z|11〉 ισ1y ισ2y. ... 4.24). The first summation is symmetric with respect to spatial reversion and inversion,i.e. -
Quadratic Lagrangians and Topology in Gauge Theory Gravity…
geometry.mrao.cam.ac.uk/wp-content/uploads/2015/02/00QuadGrav.pdf19 Feb 2015: γaγb)R̄cd (γcγd)Rab γaR̄b = γbRa. (3.24). For the pseudoscalar term (denoted 〈Z〉4) we similarly obtain.
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