The Physics of Compressive Sensing and the Gradient-Based Recovery Algorithms

The physics of compressive sensing (CS) and the gradient-based recovery algorithms are presented. First, the different forms for CS are summarized. Second, the physical meanings of coherence and measurement are given. Third, the gradient-based recovery algorithms and their geometry explanations are provided. Finally, we conclude the report and give some suggestion for future work.Comment: 7 pages, 11 Figures. It is a research report which has not been published in any Journal or Conferenc

Casimir Force for Arbitrary Objects Using the Argument Principle and Boundary Element Methods

Recent progress in the simulation of Casimir forces between various objects has allowed traditional computational electromagnetic solvers to be used to find Casimir forces in arbitrary three-dimensional objects. The underlying theory to these approaches requires knowledge and manipulation of quantum field theory and statistical physics. We present a calculation of the Casimir force using the method of moments via the argument principle. This simplified derivation allows greater freedom in the moment matrix where the argument principle can be used to calculate Casimir forces for arbitrary geometries and materials with the use of various computational electromagnetic techniques.Comment: 6 pages, 2 figure

New definition of potential spicity by the least square method

Author Posting. © American Geophysical Union, 2018. This article is posted here by permission of American Geophysical Union for personal use, not for redistribution. The definitive version was published in Journal of Geophysical Research: Oceans 123 (2018): 7351-7365, doi:10.1029/2018JC014306.A differentiable function whose contours are orthogonal to potential density (σ) contours does not exist. However, such a function, called potential spicity (π), can be defined in the least square sense; these two functions form a practically orthogonal coordinate system in potential temperature‐salinity (θ‐S) space. Thus, in addition to the classical potential temperature‐salinity (θ‐S) diagram, seawater properties can be studied in the potential density‐potential spicity (σ − π) diagram.Guangzhou Science and Technology Program key projects. Grant Number: 201804020056 National Natural Science Foundation of China. Grant Numbers: 41476167, 91752108 National Natural Science Foundation of Guangdong Province, China Grant Number: 2016A030311042; Strategic Priority Research Program of the Chinese Academy of Sciences Grant Number: XDA11030302; Guangzhou Science and Technology Program; NSF of Guangdong Province, China2019-04-1

URLLC packet management for packetized predictive control

Packetized predictive control (PPC) is an effective solution to ensure the robustness of the control system over unreliable wireless links. However, conventional wireless transmission methods in PPC suffer from either high wireless resource consumption or poor performance of real-time control due to the separately design of the two parts. To deal with the issue, we propose a communicationcontrol co-design approach to achieve good trade-off between real-time control performance and communication energy efficiency. Our results demonstrate the advantages of the communication-control co-design

Identifying risk factors for cesarean scar pregnancy: a retrospective study of 79 cases

 Objectives: To explore the possible risk factors for cesarean scar pregnancy (CSP), the incidence of which is increasing rapidly in China. Material and methods: 79 patients with CSP and 69 non-CSP expectant mothers with at least 1 previous cesarean section were employed in the study. The obstetric histories of the participants were collected and analyzed using Chi square test. Results: We found that 77.2% CSP patients had ≥ 3 pregnancies and only 36.2% women had ≥ 3 pregnacies in non-CSP group. During the previous cesarean delivery, 21.5% of CSP patients had entered the first stage of labor, which was 43.5% in non-CSP group (P < 0.05). Cephalopelvic disproportion occurred in 51.9% of CSP patients, which was significantly higher than that (23.2%) in non-CSP group (P < 0.01). 11.4% of CSP patients had undergone cesarean section due to breech and shoulder presentation in the past, which was only 1.4% in non-CSP group. However, no significance was noted (P > 0.05). We did not find significant differences between the CSP and non-CSP patients in maternal age, multiple cesarean sections, gestational age, emergency or elective caesarean section. Conclusions: Multiple pregnancies, absence of the first stage of labor, and cephalopelvic disproportion might be the risk factors for the occurrence of CSP.  

(Z)-4-[4-(Dimethyl­amino)benzyl­idene]-3-methyl­isoxazol-5(4H)-one

The title compound, C13H14N2O2, an isoxazol-5-one derivative, was synthesized by a one-pot, three-component condensation reaction of methyl acetoacetate, hydroxy­lamine hydro­chloride and 4-(dimethyl­amino)benzaldehyde. All the non-H atoms are co-planar [r.m.s deviation = 0.0039 Å], with a Z configuration about the C=C bond. The dihedral angle between the phenyl ring and the isoxazole ring is 2.58 (19)°