In the first part, we prove that the number of (1, β)-BM relations is 3 ·5 · . . . · (2β+1), which was conjectured by Jason Kimberley. In the second part, we construct two isomorphisms between certain (2, 2)-BM groups. This completes the classification of (2, 2)-BM groups initiated in [4].

Performing a fit to the available experimental data, we quantify the effect of long-distance contributions from penguin contractions in B0 → J/ψK0 decays. We estimate the deviation of the measured SCP term of the time-dependent CP asymmetry from sin 2β induced by these contributions and by the penguin operators. We find ∆S = 0.000±0.017 ([−0.035, 0.033] @ 95% probability).

In the case of oscillatory potential, we present a Lyapunov type inequality for second order differential equations of the form (r(t)Φβ(x ′(t)))′ + q(t)Φγ(x(t)) = 0, in the sub-half-linear (0 < γ < β) and the super-half-linear (0 < β < γ < 2β) cases where Φ∗(s) = |s|∗−1s. AMS (MOS) Subject Classification. 34C10, 34C15.

The Sato-Tate conjecture asserts that given an elliptic curve without complex multiplication, the primes whose Frobenius elements have their trace in a given interval (2α √ p, 2β √ p) have density given by 2 π R β α √ 1− t2 dt. We prove that this conjecture is true on average in a more general setting.

Two new daucane sesquiterpenoids 1β,2β-epoxy-10(H)α-dauca-11(12)-ene-7α,14-diol and 1α,2α-epoxy-10(H)α-dauca-11(12)-ene-7α,14-diol were isolated from the plateau medicinal plant Daphne aurantiaca Diels. (Thymelaeceae). Their structures were elucidated by 1D and 2D NMR spectroscopy, as well as HR-ESI-MS data.

Achillinin A (2β,3β-epoxy-1α,4β,10α-trihydroxyguai-11(13)-en-12,6α-olide, 1), a new guaianolide isolated from the flower of Achillea millefolium, exhibited potential antiproliferative activity to A549, RERF-LC-kj and QG-90 cells with 50% inhibitory concentration (IC(50)) values of 5.8, 10 and 0.31 µM, respectively.

Abstract Stem and progenitor cells undergo a global elevation of nascent transcription, or hypertranscription, during key developmental transitions involving rapid cell proliferation. The chromatin remodeler Chd1 mediates hypertranscription in pluripotent but its mechanism action remains poorly understood. Here we report novel role for protecting genome integrity at promoter regions by preventi...