The rank-k numerical range has a close connection to the construction of quantum error correction code for a noisy quantum channel. For noisy quantum channel, a quantum error correcting code of dimension k exists if and only if the associated joint rank-k numerical range is non-empty. In this paper the notion of joint rank-k numerical range is generalized and some statements of [2011, Generaliz...

Several special concrete structures are subjected to temperature cycling environment. Temperature will influence the physical and mechanical behaviours of material. As number loops increases, performance decrease. Two different multi-phase composite numerical models for herein introduced in this paper. Based on damage development evolution mortar interface transition zone under cycling, thermo-...

The paper explores the development process of intrinsic gamification in a learning difficulty context through an in-depth case study. We found out that simplicity is the most vital mechanic and the freedom in the software benefits users physically, mentally and socially. As a result, the software meets user’s competence, autonomy and connection needs and thus intrinsically motivates them to use...

in this research, the effect of the first order magnetic field on the ground-state of a centered hydrogenic donor impurity in a gaas/alas spherical quantum dot has been calculated. the perturbation method has been used within the framework of effective mass approximation for these calculations. overall, the analysis shows that a proper choice of quantum dot radius and magnetic field can signifi...