Rapidly accreting massive protostars undergo a phase of deuterium shell burning during pre-main sequence evolution that causes them to swell to tenths of an AU in radius. During this phase, those with close binary companions will overflow their Roche lobes and begin transferring mass. Since massive stars frequently have companions at distances well under 1 AU, this process may affect the early ...

Abstract This essay examines the term duoyuan yiti , ‘pluralistic unity’, in cultural and artistic contexts China its use everyday speech form of metaphors. It briefly introduces history this provides examples political speech, academic writing grassroots communication. The article also analyses discourses, phrases ideas that have been constructed around noting their profound impact on social l...

In this note, we show that down-up algebras at roots of unity are maximal orders over their centers.

The process of gravitational collapse excites the fields propagating in the background geometry and gives rise to thermal radiation. We demonstrate by explicit calculations that the density matrix corresponding to such radiation actually describes a pure state. While Hawking's leading order density matrix contains only the diagonal terms, we calculate the off-diagonal correlation terms. These c...

Because of its structure and cultural, social and historical conditions, the country of Iran has various ethnic, religious, and racial types. On the other hand, as  an element of large Islamic nation, Iran encounters various complex cultural conditions. The nature and the origin of unity and unification are the common points between these organs at both national and Islamic nation's level. In f...

Let E be an elliptic curve de ned over a nite eld. Balasubramanian and Koblitz have proved that if the ` roots of unity μ` is not contained in the ground eld, then a eld extension of the ground eld contains μ` if and only if the `-torsion points of E are rational over the same eld extension. We generalize this result to Jacobians of genus two curves with complex multiplication. In particular, w...