Problem P01: Compute the first N decimal digits after the decimal point of sin(sin(sin 1)), rounded toward zero. We have sin(sin(sin 1)) ≈ 0.678: the first N decimal digits after the decimal point match the first N mantissa digits. We use a target decimal precision N1 > N , and a binary precision p. We compute x = ◦(sin 1), y = ◦(sinx), z = ◦(sin y), with all roundings to nearest. It is easy to...

The time-dependent CP asymmetries in fully reconstructed B0→D(∗)±π∓/ρ∓ decays (new preliminary result), and in partially reconstructed B0→D(∗)±π∓ decays, are measured with the BABAR detector at the PEP-II asymmetric B factory at SLAC, using 232 million Υ (4S) → BB decays. We combine the above results and, using other measurements and theoretical assumptions, we interpret them in terms of the an...

the important issue of epistemic impacts of sin addressed in thecontemporary epistemology may be studied from different aspects.one is related to the actual impacts which sin has on the securer ofknowledge and the other on the relation of human being and god asthe emanator of knowledge. in this article we address the first aspectin an analytic method from al-ghazali’s viewpoint. this impact is ...

6 = 2(cos( (π+2kπ) 6 ) + i sin( (π+2kπ) 6 )) where k = 0, 1, 2, · · · , 5. Let rk = 2(cos( (π+2kπ) 6 ) + i sin( (π+2kπ) 6 )) where k = 0, 1, 2, · · · , 5. Therefore r0 = 2(cos( π 6 )+i sin( 6 )) = √ 3+i, r1 = 2(cos( π 2 )+i sin( 2 )) = 2i, r2 = 2(cos( 5π 6 )+ i sin( 6 )) = − √ 3 + i, r3 = 2(cos( 7π 6 ) + i sin( 6 )) = − √ 3 − i, r4 = 2(cos( 2 ) + i sin( 2 )) = −2i and r5 = 2(cos( 6 ) + i sin( 1...

6 = 2(cos( (π+2kπ) 6 ) + i sin( (π+2kπ) 6 )) where k = 0, 1, 2, · · · , 5. Let rk = 2(cos( (π+2kπ) 6 ) + i sin( (π+2kπ) 6 )) where k = 0, 1, 2, · · · , 5. Therefore r0 = 2(cos( π 6 )+i sin( 6 )) = √ 3+i, r1 = 2(cos( π 2 )+i sin( 2 )) = 2i, r2 = 2(cos( 5π 6 )+ i sin( 6 )) = − √ 3 + i, r3 = 2(cos( 7π 6 ) + i sin( 6 )) = − √ 3 − i, r4 = 2(cos( 2 ) + i sin( 2 )) = −2i and r5 = 2(cos( 6 ) + i sin( 1...

The neuroprotective effect of sinomenine (SIN) has been demonstrated in several brain injury models. However, its role and molecular mechanism in traumatic brain injury (TBI) remain unknown. In this study, we investigated the neuroprotective effects of SIN in the weight-drop model of TBI in male ICR mice. Mice were randomly divided into the sham and TBI groups, SIN (10 mg/kg, 30 mg/kg and 50 mg...

What was originally intended to be a characterization of an “ideal” extensive reading (ER) approach, however, has been taken to an almost religious quality with some practitioners who firmly believe that any approach that deviates from these guidelines is not truly “extensive reading.” This, I have found, is one of the most frequent objections to using the MReader.org quiz program among teacher...

Now, let (u, v) = Rα(θ, φ′). Here, Rα = Ry(α). We omit the z rotation since that does not affect Yl0 which has no azimuthal dependence. The vector corresponding to coordinates (u, v) is then given by   sinu cos v sinu sin v cos u   =   cosα 0 sinα 0 1 0 − sinα 0 cosα     sin θ′ cosφ′ sin θ′ sinφ′ cos θ′   =   cosα sin θ′ cosφ′ + sinα cos θ′ sin θ′ sinφ′ cosα cos θ′ + sinα sin θ′ (...