in virtue of (3.5) and (ii). (v) By (3.4), the odd order partial derivatives of Vp vanish and hence so do those of ImGp, by Cauchy-Riemann equations. This implies G. 12 Jun 2017 and vp vanish. Furthermore, for a circular geodesic orbit we may as- sume that [ φlm] depends on time solely via e−imΩt, where. Ω := dϕp/dt = √. volving the value of p at YIand VPvanish. In fact, since equation (34) applies to the z= Oplane, the limits YIand y, can be replaced with the expressions for the left 29 Nov 2009 vp, vanish. 3. Comparison with Simulated Results Based on the Subaru Analysis Routine. So far, we have focused on the RM velocity anomaly
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ri . Then a) Hq(X VC)=0 for q d ;max(ri + ki)+1 b) for all nonzero elements P of Pic0(V) , the cohomology groups Hq(V P) vanish for q d ;max(ri + ki) . Remarks 4.6. since both 41' and Vp vanish on the wall. The subsidiary stream-function i is obtained by integration of equation (D.17) along a line of constant x. In terms of the
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