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If P is a face and P the corresponding face in the Gauss image, then P is assigned the mean and Gaussian curvatures area(P, P ) area(P ) HP = − , KP = . area(P ) area(P ) ORIENTED MIXED AREA AND DISCRETE MINIMAL SURFACES 5 q3 p0 p1 p3 p2 q0 q1 q2 Figure 2. For nondegenerate parallel.
www.math.tugraz.at/fosp/pdfs/tugraz_0121.pdf
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This can be forced by starting with random values for P0 and P1 , then varying P2 , P3 , P8 , P9 , P10 , and P11 in an order such that Pa is varied before Pb if and only if Pa and Pb access the same sbox and Pa accesses the sbox before Pb .
These cache hits dene values for the plaintext bytes P2 , P3 , P4 , P5 , P6 , P7 and Q2 , Q3 , Q4 , Q5 , Q6 , Q7 .
eprint.iacr.org/2010/012.pdf
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rybkaforum.net/cgi-bin/rybkaforum/topic_show.pl?tid=19551
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Finally, with this transite graph, we enumerate all the possible paths from q1 to q2 and infer the route based on the reference points of each path, the result of which is shown in Figure 5(c). q1 q1 p3 p4 p5 p2 (a) q1 p3 p4 p1 p1.
research.microsoft.com/pubs/156046/Reducing%20Uncertainty%20of%20Low-Sampling-Rate%20trajectories.pdf
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If the points of A are labelled by integers congruent to 1 mod 4 then the invariants of A are ...q0 , p1 , q2 , p3
In this section we are going to use the alternate list of variables p1 , q2 , p3 , q4 , .... The reason for the alternate notation is that it is useful to distinguish the even and odd variables in our constructions.
www.math.brown.edu/~res/Papers/mono.pdf
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www.freerider2game.com/play-track/87483/
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(1.1) where q1 and q2 are the momenta of the initial-state particles and 1/(8s) corresponds to the ux factor and the average over the spins of the initial state particles. The observable has to be infrared safe, in particular this implies that in single and double unresolved limits we must have ′ O4 ( p1 , ..., p4 , q1 , q2 ) → O3 ( p′ 1 , ..., p3 , q1 , q2 ) for single unresolved limits, for double unresolved limits.
pos.sissa.it/archive/conferences/092/051/RADCOR2009_051.pdf
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www.chess2u.com/t5556-arasan-test-suite
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from K has degree (3r property that the sum of the weights of its neighbours is exactly 2r + k 4)`, and each vertex u 2 V has the 2. So A = {p1 } and C = {p3 } for some distinct vertices p1 and p3 . It is convenient to relabel x = p2 , y = p5 , (r + 1)–cliques and the above information regarding the distribution of weights discloses that (K 2), and (K 3)...
preprint.math.uni-hamburg.de/public/papers/hbm/hbm463.pdf
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3 (2.13) For the virtual-top propagator we use the relativistic Wigner-Weisskopf form p2 3 / p3 + mt . − m2 t + imt Γt (2.14) The decay width of the top quark is not yet measured, so we use the prediction of the standard model, Gf m3 √t Γt = 8π 2 m2 1− W m2 t.
authors.library.caltech.edu/3238/1/CHEjhep98.pdf
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