A Mini Immersed Finite Element Method for Two-Phase Stokes Problems on Cartesian Meshes

This paper presents a mini immersed finite element (IFE) method for solving two- and three-dimensional two-phase Stokes problems on Cartesian meshes. The IFE space is constructed from the conventional mini element with shape functions modified on interface elements according to interface jump conditions, while keeping the degrees of freedom unchanged. Both discontinuous viscosity coefficients and surface forces are considered in the construction. The interface is approximated via discrete level set functions and explicit formulas of IFE basis functions and correction functions are derived, which make the IFE method easy to implement. The optimal approximation capabilities of the IFE space and the inf-sup stability and the optimal a priori error estimate of the IFE method are derived rigorously with constants independent of the mesh size and how the interface cuts the mesh. It is also proved that the condition number has the usual bound independent of the interface. Numerical experiments are provided to confirm the theoretical results

The Application of Stereo Anti-eccentrically Teaching Methods in Traditional Chinese Qigong Course

目的 探讨立体带功防偏模式在中医气功教学中的应用。方法 从气功偏差的严重后果及目前的教学现状、立体带功防偏气功教学法的目标和意义、立体带功防偏气功教学法的具体步骤等方面进行了详细的介绍。结果 2012-2013年医学气功学课程11个班级723个学生中，出现不适感的人数仅占1.8%，在一周内不适感消失的占61.5%，两周内不适感消失者达100%，没有一例严重偏差的出现，达到了安全教学的目的。结论 立体带功防偏气功教学法可以及时发现学生出现偏差的苗头并及时纠正，提高了教学的安全性，因此值得推广。Objective: To explore the use of stereo anti-eccentrically Chinese qigong teaching mode. Method: To introduce the concrete steps of Qigong teaching methods from Qigong serious consequences，deeviation and the present teaching situation, the goal and significance of stereo anti-eccentrically qigong teaching methods etc. Result: In 2013, 6 classes and 498 students, only 23（4.61%）students appeared discomfort. Within a week the improvement of discomfort students is 16（69.56%）,disappearance of discomfort students is 5（21.73%）, two weeks later,disappeared discomfort students achieve 100%, have no  emergence of severe deviation, reached the safety of teaching purpose. Conclusion: Stereo anti-eccentrically Qigong teaching method can find the first hint of deviation and correct them in time, can improve the security of teaching. so it is worth spreading

A High-Isolation Dual-Polarization Substrate-Integrated Fabry-Pérot Cavity Antenna

A dual-polarization substrate-integrated Fabry-Pérot cavity (SI-FPC) antenna is presented in this paper. The patch embedded in SI-FPC is excited with a near-field coupled feeding structure for V-polarization and with a slot-coupled feeding structure for H-polarization. The feeding structures are separated by a ground plane to improve the isolation between the ports. As a design example, an antenna operating at 10.0 GHz is fabricated and measured. A high degree of port isolation (<−40 dB) over the whole operating bandwidth (9.5–10.2 GHz) and good cross-polarization level (>25 dB) can be achieved

Implicit Identity Leakage: The Stumbling Block to Improving Deepfake Detection Generalization

In this paper, we analyse the generalization ability of binary classifiers for the task of deepfake detection. We find that the stumbling block to their generalization is caused by the unexpected learned identity representation on images. Termed as the Implicit Identity Leakage, this phenomenon has been qualitatively and quantitatively verified among various DNNs. Furthermore, based on such understanding, we propose a simple yet effective method named the ID-unaware Deepfake Detection Model to reduce the influence of this phenomenon. Extensive experimental results demonstrate that our method outperforms the state-of-the-art in both in-dataset and cross-dataset evaluation. The code is available at https://github.com/megvii-research/CADDM.Comment: Accepted by CVPR 202