Reconfiguration of Six Teaching Links in the Intelligent Teaching Model

The research is part of the achievements of the research project of higher education reform in Jiangsu Province.No.2019JSJG257(Sponsoring information) Abstract The six teaching links include teaching, learning, practicing, testing, evaluating, and managing. Over time, the traditional classroom has some problems in implementing six teaching links, such as teacher-centered, unchanging teaching content, and inertia of student learning. With the support of the series of functions of intelligent teaching tools, the six teaching links are integrated into the pre-class, in-class, and post-class. And the six links are reconstructed in the three stages of pre-class preview, in-class teaching, and post-class consolidation, thus students' learning ability can be comprehensively improved. Keywords: Six teaching links; Intelligent teaching; Teaching reconfiguration DOI: 10.7176/JEP/12-29-01 Publication date:October 31st 202

Cosmology-Independent Distance Moduli of 42 Gamma-Ray Bursts between Redshift of 1.44 and 6.60

This report is an update and extension of our paper accepted for publication in ApJ (arXiv:0802.4262). Since objects at the same redshift should have the same luminosity distance and the distance moduli of type Ia supernovae (SNe Ia) obtained directly from observations are completely cosmology independent, we obtain the distance modulus of a gamma-ray burst (GRB) at a given redshift by interpolating or iterating from the Hubble diagram of SNe Ia. Then we calibrate five GRB relations without assuming a particular cosmological model, from different regression methods, and construct the GRB Hubble diagram to constrain cosmological parameters. Based upon these relations we list the cosmology-independent distance moduli of 42 GRBs between redshift of 1.44 and 6.60, with the 1-$\sigma$ uncertainties of 1-3%.Comment: 6 pages, 2 figures, 3 tables. To appear in the proceedings of "2008 Nanjing GRB conference", Nanjing, 23-27 June 200

Finite-size scaling of out-of-time-ordered correlators at late times

Chaotic dynamics in quantum many-body systems scrambles local information so that at late times it can no longer be accessed locally. This is reflected quantitatively in the out-of-time-ordered correlator of local operators, which is expected to decay to zero with time. However, for systems of finite size, out-of-time-ordered correlators do not decay exactly to zero and in this paper we show that the residual value can provide useful insights into the chaotic dynamics. When energy is conserved, the late-time saturation value of the out-of-time-ordered correlator of generic traceless local operators scales as an inverse polynomial in the system size. This is in contrast to the inverse exponential scaling expected for chaotic dynamics without energy conservation. We provide both analytical arguments and numerical simulations to support this conclusion.Comment: improved presentatio