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Contact High-Temperature Strain Automatic Calibration and Precision Compensation Research 被引量:1
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作者 Zijian Jia Wenrui Wang +1 位作者 Jiaming Zhang Hanlin Li 《Journal of Artificial Intelligence and Technology》 2022年第2期69-76,共8页
Automated control and calibration are important components in industrial process and in artificial intelligence system and robotics.In order to solve the problem of contact high-temperature strain precision measuremen... Automated control and calibration are important components in industrial process and in artificial intelligence system and robotics.In order to solve the problem of contact high-temperature strain precision measurement,this paper established an automatic calibration device for high-temperature strain gauges.The temperature of the high-temperature furnace is automatically controlled by the temperature control device.The electric cylinder is driven by the servo motor to apply the load to the calibration beam.The output signal of the high-temperature strain gauge,the thermocouple signal,and the displacement signal of the grating ruler are collected at the same time.The deformation measurement results obtained after temperature correction are used to calculate the theoretical mechanical strain,which are fed back to control the loading action to complete the automatic calibration process.Based on the above calibration device,the hightemperature strain measurement accuracy correction software is developed to calibrate the high-temperature strain gauge with multiparameters,and the curves of sensitivity coefficient,thermal output,zero drift,and creep characteristics with temperature are obtained,and a strain measurement accuracy compensation model is established.The high-temperature strain measurement experiment is carried out to verify that the modified model can meet the requirements in each temperature range. 展开更多
关键词 automated control high-temperature strain automatic calibration multiparameters accuracy correction
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Mechanism and monitoring and early warning technology for rockburst in coal mines 被引量:13
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作者 Xue-qiu He Chao Zhou +4 位作者 Da-zhao Song Zhen-lei Li An-ye Cao Shen-quan He Majid Khan 《International Journal of Minerals,Metallurgy and Materials》 SCIE EI CAS CSCD 2021年第7期1097-1111,共15页
On the basis of the massive amount of published literature and the long-term practice of our research group in the field of prevention and control of rockburst,the research progress and shortcomings in understanding t... On the basis of the massive amount of published literature and the long-term practice of our research group in the field of prevention and control of rockburst,the research progress and shortcomings in understanding the rockburst phenomenon have been comprehensively in-vestigated.This study focuses on the occurrence mechanism and monitoring and early warning technology for rockburst in coal mines.Results showed that the prevention and control of rockburst had made significant progress.However,with the increasing mining depth,several unre-solved concerns remain challenging.From the in-depth research and analysis,it can be inferred that rockburst disasters involve three main problems,i.e.,the induction factors are complicated,the mechanism is still unclear,and the accuracy of the monitoring equipment and multi-source stereo monitoring technology is insufficient.The monitoring and warning standards of rockburst need to be further clarified and im-proved.Combined with the Internet of Things,cloud computing,and big data,a study of the trend of rockburst needs to be conducted.Further-more,the mechanism of multiphase and multi-field coupling induced by rockburst on a large scale needs to be explored.A multisystem and multiparameter integrated monitoring and early warning system and remote monitoring cloud platform for rockburst should be explored and developed.High-reliability sensing technology and equipment and perfect monitoring and early warning standards are considered to be the de-velopment direction of rockburst in the future.This research will help experts and technicians adopt effective measures for controlling rock-burst disasters. 展开更多
关键词 coal mine ROCKBURST MECHANISM monitoring and early warning technology MULTIPARAMETER
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Improving seismic interpretation: a high-contrast approximation to the reflection coefficient of a plane longitudinal wave 被引量:12
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作者 Yin Xingyao Zong Zhaoyun Wu Guochen 《Petroleum Science》 SCIE CAS CSCD 2013年第4期466-476,共11页
Linearized approximations of reflection and transmission coefficients set a foundation for amplitude versus offset(AVO) analysis and inversion in exploration geophysics.However,the weak properties contrast hypothesi... Linearized approximations of reflection and transmission coefficients set a foundation for amplitude versus offset(AVO) analysis and inversion in exploration geophysics.However,the weak properties contrast hypothesis of those linearized approximate equations leads to big errors when the two media across the interface vary dramatically.To extend the application of AVO analysis and inversion to high contrast between the properties of the two layers,we derive a novel nonlinearized high-contrast approximation of the PP-wave reflection coefficient,which establishes the direct relationship between PPwave reflection coefficient and P-wave velocities,S-wave velocities and densities across the interface.(A PP wave is a reflected compressional wave from an incident compressional wave(P-wave).) This novel approximation is derived from the exact reflection coefficient equation with Taylor expansion for the incident angle.Model tests demonstrate that,compared with the reflection coefficients of the linearized approximations,the reflection coefficients of the novel nonlinearized approximate equation agree with those of the exact PP equation better for a high contrast interface with a moderate incident angle.Furthermore,we introduce a nonlinear direct inversion method utilizing the novel reflection coefficient equation as forward solver,to implement the direct inversion for the six parameters including P-wave velocities,S-wave velocities,and densities in the upper and lower layers across the interface.This nonlinear inversion algorithm is able to estimate the inverse of the nonlinear function in terms of model parameters directly rather than in a conventional optimization way.Three examples verified the feasibility and suitability of this novel approximation for a high contrast interface,and we still could estimate the six parameters across the interface reasonably when the parameters in both media across the interface vary about 50%. 展开更多
关键词 High-contrast interface reflection coefficient amplitude variation with angle multiparameter estimation artificial neural network inversion
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SOLUTIONS TO DISCRETE MULTIPARAMETER PERIODIC BOUNDARY VALUE PROBLEMS INVOLVING THE p-LAPLACIAN VIA CRITICAL POINT THEORY 被引量:8
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作者 高承华 《Acta Mathematica Scientia》 SCIE CSCD 2014年第4期1225-1236,共12页
In this paper, we consider the existence of three nontrivial solutions for a discrete non-linear multiparameter periodic problem involving the p-Laplacian. By using the similar method for the Dirichlet boundary value ... In this paper, we consider the existence of three nontrivial solutions for a discrete non-linear multiparameter periodic problem involving the p-Laplacian. By using the similar method for the Dirichlet boundary value problems in [C. Bonanno and P. Candito, Appl. Anal., 88(4) (2009), pp. 605-616], we construct two new strong maximum principles and obtain that the boundary value problem has three positive solutions for λ and μ in some suitable intervals. The approaches we use are the critical point theory. 展开更多
关键词 discrete periodic boundary value problem P-LAPLACIAN MULTIPARAMETER three solutions critical point theory
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Serum N-glycan markers for diagnosing liver fibrosis induced by hepatitis B virus 被引量:14
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作者 Xi Cao Qing-Hua Shang +12 位作者 Xiao-Ling Chi Wei Zhang Huan-Ming Xiao Mi-Mi Sun Gang Chen Yong An Chun-Lei Lv Lin Wang Yue-Min Nan Cui-Ying Chen Zong-Nan Tan Xue-En Liu Hui Zhuang 《World Journal of Gastroenterology》 SCIE CAS 2020年第10期1067-1079,共13页
BACKGROUND Hepatitis B virus (HBV) infection is the primary cause of hepatitis with chronic HBV infection,which may develop into liver fibrosis,cirrhosis and hepatocellular carcinoma.Detection of early-stage fibrosis ... BACKGROUND Hepatitis B virus (HBV) infection is the primary cause of hepatitis with chronic HBV infection,which may develop into liver fibrosis,cirrhosis and hepatocellular carcinoma.Detection of early-stage fibrosis related to HBV infection is of great clinical significance to block the progression of liver lesion.Direct liver biopsy is regarded as the gold standard to detect and assess fibrosis;however,this method is invasive and prone to clinical sampling error.In order to address these issues,we attempted to find more convenient and effective serum markers for detecting HBV-induced early-stage liver fibrosis.AIM To investigate serum N-glycan profiling related to HBV-induced liver fibrosis and verify multiparameter diagnostic models related to serum N-glycan changes.METHODS N-glycan profiles from the sera of 432 HBV-infected patients with liver fibrosis were analyzed.Significant changed N-glycan levels (peaks)(P <0.05) in differentfibrosis stages were selected in the modeling group,and multiparameter diagnostic models were established based on changed N-glycan levels by logistic regression analysis.The receiver operating characteristic (ROC) curve analysis was performed to evaluate diagnostic efficacy of N-glycans models.These models were then compared with the aspartate aminotransferase to platelet ratio index (APRI),fibrosis index based on the four factors (FIB-4),glutamyltranspeptidase platelet albumin index (S index),GlycoCirrho-test,and GlycoFibro-test.Furthermore,we combined multiparameter diagnostic models with alanine aminotransferase (ALT) and platelet (PLT) tests and compared their diagnostic power.In addition,the diagnostic accuracy of N-glycan models was also verified in the validation group of patients.RESULTS Multiparameter diagnostic models constructed based on N-glycan peak 1,3,4and 8 could distinguish between different stages of liver fibrosis.The area under ROC curves (AUROCs) of Model A and Model B were 0.890 and 0.752,respectively differentiating fibrosis F0-F1 from F2-F4,and F0-F2 from F3-F4,and surpassing other serum panels.However,AUROC (0.747) in Model C used for the diagnosis of F4 from F0-F3 was lower than AUROC (0.795) in FIB-4.In combination with ALT and PLT,the multiparameter models showed better diagnostic power (AUROC=0.912,0.829,0.885,respectively) when compared with other models.In the validation group,the AUROCs of the three combined models (0.929,0.858,and 0.867,respectively) were still satisfactory.We also applied the combined models to distinguish adjacent fibrosis stages of 432patients (F0-F1/F2/F3/F4),and the AUROCs were 0.917,0.720 and 0.785.CONCLUSION Multiparameter models based on serum N-glycans are effective supplementary markers to distinguish between adjacent fibrosis stages of patients caused by HBV,especially in combination with ALT and PLT. 展开更多
关键词 Chronic hepatitis B Liver fibrosis N-GLYCAN Multiparameter diagnostic models Receiver operating characteristic curve analysis Diagnostic power
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Polarization multiplexing for double images display 被引量:12
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作者 Jinying Guo Teng Wang +6 位作者 Baogang Quan Huan Zhao Changzhi Gu Junjie Li Xinke Wang Guohai Situ Yan Zhang 《Opto-Electronic Advances》 2019年第7期1-6,共6页
Metasurface provides subwavelength structures for manipulating wavefronts of light. The benefits of subwavelength components offer a continuous modulation of amplitude, phase, and polarization, thus eliminating the pr... Metasurface provides subwavelength structures for manipulating wavefronts of light. The benefits of subwavelength components offer a continuous modulation of amplitude, phase, and polarization, thus eliminating the production of higher-order images and improving the utilization of light intensity. Despite the rapid progress in this field, multiparameter control of light using single layer metasurface is rarely reported. In fact, multiparameter control of light helps to improve information storage capacity and image fidelity. With simultaneous manipulation of polarization and amplitude at each pixel, it is possible to encode two separate images into one metasurface and reconstruct them under proper conditions. In a proof of concept experiment, we demonstrate an independent display of two binary images at the same position with polarization de-multiplexing from a single metasurface. This unique technology of encoding two images through amplitude and polarization manipulation provides a new opportunity for various applications in, such as encryption, information storage, polarization holograms, optical communications and fundamental physics. 展开更多
关键词 metasurface MULTIPARAMETER POLARIZATION ENCODING
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DUALITY OF WEIGHTED MULTIPARAMETER TRIEBEL-LIZORKIN SPACES 被引量:2
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作者 丁卫 朱月萍 《Acta Mathematica Scientia》 SCIE CSCD 2017年第4期1083-1104,共22页
In this paper, we reintroduce the weighted multi-parameter Triebel-Lizorkin spaces Fp^a,q(w;R^n1×R^n2) based on the Frazier and Jawerth' method in [11]. This space was firstly introduced in [18]. Then we estab... In this paper, we reintroduce the weighted multi-parameter Triebel-Lizorkin spaces Fp^a,q(w;R^n1×R^n2) based on the Frazier and Jawerth' method in [11]. This space was firstly introduced in [18]. Then we establish its dual space and get that (Fp'q)* = CMOp^-a,q' for 0 ~p≤ 1. 展开更多
关键词 Triebel-Lizorkin space WEIGHTED MULTIPARAMETER DUALITY Fefferman-Stein inequality
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Multiparameter least-squares reverse time migration for acoustic–elastic coupling media based on ocean bottom cable data 被引量:2
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作者 Qu Ying-Ming Huang Chong-Peng +3 位作者 Liu Chang Zhou Chang Li Zhen-Chun Worral Qurmet 《Applied Geophysics》 SCIE CSCD 2019年第3期327-337,396,共12页
In marine seismic exploration,ocean bottom cable technology can record multicomponent seismic data for multiparameter inversion and imaging.This study proposes an elastic multiparameter lease-squares reverse time migr... In marine seismic exploration,ocean bottom cable technology can record multicomponent seismic data for multiparameter inversion and imaging.This study proposes an elastic multiparameter lease-squares reverse time migration based on the ocean bottom cable technology.Herein,the wavefield continuation operators are mixed equations:the acoustic wave equations are used to calculate seismic wave propagation in the seawater medium,whereas in the solid media below the seabed,the wavefields are obtained by P-and S-wave separated vector elastic wave equations.At the seabed interface,acoustic–elastic coupling control equations are used to combine the two types of equations.P-and S-wave separated elastic migration operators,demigration operators,and gradient equations are derived to realize the elastic least-squares reverse time migration based on the P-and S-wave mode separation.The model tests verify that the proposed method can obtain high-quality images in both the P-and S-velocity components.In comparison with the traditional elastic least-squares reverse time migration method,the proposed method can readily suppress imaging crosstalk noise from multiparameter coupling. 展开更多
关键词 Acoustic-elastic coupling media MULTIPARAMETER least-squares reverse time migration ocean bottom cable data phase encoding Marmousi model
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Multiparameter Optimization and Controlling for Cylindrical Grinding Process 被引量:1
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作者 LI Guo-fa, WANG Long-shan, YANG Lian-bo (College of Mechanical Science and Engineering, Jilin University, Changchun 130025, China) 《厦门大学学报(自然科学版)》 CAS CSCD 北大核心 2002年第S1期24-,共1页
This paper bursts the bondage of conventional no-burn thought, presents an optimum strategy permitting burn appear in grinding roughing stage, but the burning layer can be summed on the following finishing stage. On t... This paper bursts the bondage of conventional no-burn thought, presents an optimum strategy permitting burn appear in grinding roughing stage, but the burning layer can be summed on the following finishing stage. On the base of the basic grinding models, the objective function and constrained functions for the multiparameter optimum grinding models had been built in this paper. By the computer simulation, the nonlinear optimum grinding control parameters had been obtained, and the truth grinding process had been controlled by these parameters. The results of simulation and the experiments proved the exactitude of the optimum models and the feasibility of the optimum strategy. This paper had also created the precondition for the grinding automation, virtual grinding and intelligent grinding system for cylindrical grinding process. 展开更多
关键词 grinding process multiparameter optimization computer simulation depth of burn optimum control
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MULTIPARAMETER MEASUREMENT FOR RACEWAY GROOVE OF BEARING BASED ON 3D RECONSTRUCTION WITH DIGITAL STRUCTURED LIGHT 被引量:1
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作者 He Tao Zhong Ming LiWei Zhong Yuning Shi Tielin 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2005年第3期470-472,共3页
A fast 3D reconstruction method based on structured light to measure various parameters of the raceway groove is presented. Digital parallel grating stripes distributed with sine density are projected onto the raceway... A fast 3D reconstruction method based on structured light to measure various parameters of the raceway groove is presented. Digital parallel grating stripes distributed with sine density are projected onto the raceway groove by a DLP projector, and distorting of stripes is happened on the raceway. Simultaneously, aided by three-step phase-shifting approach, three images covered by different stripes are obtained by a high-resolution CCD camera at the same location, thus a more accuracy local topography can be obtained. And then the bearing is rotated on a high precision computer controlled rotational stage. Three images are also obtained as the former step at next planned location triggered by the motor. After one cycle, all images information is combined through the mosaics. As a result, the 3D information of raceway groove can be gained. Not only geometric properties but also surface flaws can be extracted by software. A preliminary hardware system has been built, with which some geometric parameters have been extracted from reconstructed local topography. 展开更多
关键词 Structured light Fringe projection Phase-shifting Multiparameter measurement 3D reconstruction
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DUALFREQUENCY AND MULTIPARAMETERIP INSTRUMENT AND ITS APPLICATION RESEARCH
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作者 Bao Guangshu He Jishan( 《Journal of Central South University》 SCIE EI CAS 1996年第1期14-18,共5页
Variable IP method mainly measures the Percent Frequency Effect (PFE), and phase IP method mainly measures phase. They both aim at finding IP anomaly. However, only using PFE anomaly or single phase anomaly can′t dis... Variable IP method mainly measures the Percent Frequency Effect (PFE), and phase IP method mainly measures phase. They both aim at finding IP anomaly. However, only using PFE anomaly or single phase anomaly can′t distinguish IP body′s property. The authors put forward a new method——dualfrequency and multiparameter IP method, which can not only find anomaly of PFE and phase, but also provide the property information of IP anomaly resource. The authors also have invented the dualfrequency and multiparameter IP instrument. A lot of experiments and field work have been done. The results show that the instrument is valuable in distinguishing IP anomalies. 展开更多
关键词 PERCENT FREQUENCY Effect (PFE) dualfrequency and MULTIPARAMETER IP instrument RESISTIVITY PHASE PROPERTY
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Bound states resulting from interaction of the non-relativistic particles with the multiparameter potential
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作者 Ahmet Tas Ali Havare 《Chinese Physics B》 SCIE EI CAS CSCD 2017年第10期38-48,共11页
In this study, we present the analytical solutions of bound states for the Schrodinger equation with the mulfiparameter potential containing the different types of physical potentials via the asymptotic iteration meth... In this study, we present the analytical solutions of bound states for the Schrodinger equation with the mulfiparameter potential containing the different types of physical potentials via the asymptotic iteration method by applying the Pekeristype approximation to the centrifugal potential. For any n and l (states) quantum numbers, we derive the relation that gives the energy eigenvalues for the bound states numerically and the corresponding normalized eigenfunctions. We also plot some graphics in order to investigate effects of the multiparameter potential parameters on the energy eigenvalues. Furthermore, we compare our results with the ones obtained in previous works and it is seen that our numerical results are in good agreement with the literature. 展开更多
关键词 multiparameter potential Schrodinger equation bound states asymptotic iteration method
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DESIGN OF MICROPHYSIOMETER BASED ON MULTIPARAMETER CELL-BASED BIOSENSORS FOR QUICK DRUG ANALYSIS
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作者 NING HU DA HA +7 位作者 CHENGXIONG WU GONG CHENG HUI YU TIANXING WANG JIEYING WU HUA CAI QINGJUN LIU PING WANG 《Journal of Innovative Optical Health Sciences》 SCIE EI CAS 2012年第1期36-47,共12页
Cellular metabolism arouses the changes of substance in extracellular physiological microenvironment,and the metabolic level reflects the physiological state of cells.This paper developed a novel microphysiometer auto... Cellular metabolism arouses the changes of substance in extracellular physiological microenvironment,and the metabolic level reflects the physiological state of cells.This paper developed a novel microphysiometer automatic analysis instrument based on multiparameter cell-based biosensors for quick drug analysis.This study included the multiparameter cell-based biosensors,cell culture chamber,drug auto-injection detection and analysis.The analysis instrument was capable of real-time detection for the acidic product and other chemical parameters generated by the cellular metabolism in the micro-volume.Finally,the paper employs human breast cancer cell line MCF-7 and drug experiments to verify the performance of microphysiometer,and study effects of different drugs on cell metabolism.Further,the research explores drug analysis method of the multiparameter microphysiometer.The results showed that the cell-based microphysiometer system provides a utility platform for rapid,long-term and automatic cell physiological environment detection and drug analysis. 展开更多
关键词 MICROPHYSIOMETER multiparameter cell-based biosensor extracellular acidification cancer cells drug analysis
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MULTI-PARAMETER HARDY SPACES VIA DISCRETE LITTLEWOOD-PALEY THEORY
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作者 Zhuoping Ruan 《Analysis in Theory and Applications》 2010年第2期122-139,共18页
In this paper, we apply a discrete Littlewood-Paley analysis to obtain Hardy spaces HP(Rn1× … ×Rnk) of arbitrary number of parameters characterized by discrete Littlewood-Paley square function and derive ... In this paper, we apply a discrete Littlewood-Paley analysis to obtain Hardy spaces HP(Rn1× … ×Rnk) of arbitrary number of parameters characterized by discrete Littlewood-Paley square function and derive the boundedness of singular integral operators onHP(Rn1× … ×Rnk) and fromHP(Rn1× … ×Rnk)toLP(Rn1× … ×Rnk). 展开更多
关键词 multiparameter Hardy space discrete Littlewood-Paley-Stein analysis dis-crete Calder6n identity almost orthogonality estimate
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ON MULTIPARAMETER CHACONORNSTEIN THEOREM
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作者 钱能生 《Acta Mathematica Scientia》 SCIE CSCD 1991年第2期225-229,共5页
In this paper we prove continuous multiparameter Chancon-Ornstein theorem which is described in the discrete case by Louis Sucheston.
关键词 ON MULTIPARAMETER CHACONORNSTEIN THEOREM
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Multimode sensing based on optical microcavities 被引量:3
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作者 Yanran Wu Bing Duan +1 位作者 Changhong Li Daquan Yang 《Frontiers of Optoelectronics》 EI CSCD 2023年第3期153-167,共15页
Optical microcavities have the ability to confne photons in small mode volumes for long periods of time,greatly enhancing light-matter interactions,and have become one of the research hotspots in international academi... Optical microcavities have the ability to confne photons in small mode volumes for long periods of time,greatly enhancing light-matter interactions,and have become one of the research hotspots in international academia.In recent years,sensing applications in complex environments have inspired the development of multimode optical microcavity sensors.These multimode sensors can be used not only for multi-parameter detection but also to improve measurement precision.In this review,we introduce multimode sensing methods based on optical microcavities and present an overview of the multimode single/multi-parameter optical microcavities sensors.Expected further research activities are also put forward. 展开更多
关键词 Optical microcavity Multimode sensing Multiparameter measurement Sensing mechanisms
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Development of a correlation equation between the diesterification of maleic anhydride and the acidic ionic liquids nature 被引量:1
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作者 Yumei Liu Shengxin Chen +2 位作者 Ran An Xingsheng Wang Ruixia Liu 《Green Chemical Engineering》 CSCD 2023年第1期57-63,共7页
The sustainable synthesis of dimethyl maleate via diesterification through the utilization of ionic liquid(IL)is of great importance.However,the relationship between the ILs nature and the reactivity of diesterificati... The sustainable synthesis of dimethyl maleate via diesterification through the utilization of ionic liquid(IL)is of great importance.However,the relationship between the ILs nature and the reactivity of diesterification is still unclear.Herein,a series of ILs with different structures were selected for the comprehensive investigation of diesterification.The acidity(H_(0))and Kamlet-Taft solvent parameters(hydrogen bond donor ability(α),hydrogen bond acceptor ability(β),and polarizability(π^(*)))of ILs were measured by UV–Visible spectroscopy,and the effects of them on the diesterification of maleic anhydride were also studied in detail.The results indicated that not only H0of the IL-based catalysis system,but also itsα,β,andπ^(*)influenced the reaction activity of diesterification.Furthermore,a quantifiable correlation was fitted between the natural logarithm of the rate constant and multiple parameters of ILs,indicating that the diesterification rate had a positive correlation with the H0,α,andπ^(*),and inverse correlation with theβof the IL.A plausible synergetic reaction mechanism for the excellent performance of[(HSO_(3))PMim][HSO_(4)]has been proposed.Overall,this work thoroughly explored the relationship between the nature of ILs on diesterification in-depth,which will reveal the nature of diesterification in detail. 展开更多
关键词 Multiparameter correlation equation Diesterification Maleic anhydride Ionic liquids Kamlet-Taft solvent parameters
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A global multiplicity result for two-point boundary value problems of p-Laplacian systems
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作者 LEE Eun Kyoung LEE Yong-Hoon 《Science China Mathematics》 SCIE 2010年第4期967-984,共18页
In this paper,we consider the existence,nonexistence and multiplicity of positive solutions for two-point boundary value problems of p-Laplacian systems which have a singular indefinite weight and real multiparameters... In this paper,we consider the existence,nonexistence and multiplicity of positive solutions for two-point boundary value problems of p-Laplacian systems which have a singular indefinite weight and real multiparameters.For proofs,we mainly make use of the upper and lower solution method and the fixed point index theorem.To obtain a global multiplicity result,we construct a weighted space to benefit richer topology of the solution space than C 0-space. 展开更多
关键词 P-LAPLACIAN system SINGULAR INDEFINITE weight multiparameters UPPER SOLUTION and lower SOLUTION fixed point index THEOREM weighted space
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A MUCLTI-PARAMETER SPLITTING EXTRAPOLATION AND A PARALLEL ALGORITHM 被引量:8
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作者 ZHOU Aihui(Institute of Systems Science, Academia Sinica, Beijing 100080, China)Liem Chin-ho Shih Tsi-min(Department of Applied Mathematics, Hong Kong Polytechnic University, Hong Kong)LU Tao(Institute of Chengdu Computer Application, Academia Sinica, Ch 《Systems Science and Mathematical Sciences》 SCIE EI CSCD 1997年第3期253-260,共8页
The finite element solutions of elliptic equations are shown to have a multiparameter asymptotic error expansion. Based on this expansion and a multi-parametersplitting extrapolation technique, a parallel algorithm fo... The finite element solutions of elliptic equations are shown to have a multiparameter asymptotic error expansion. Based on this expansion and a multi-parametersplitting extrapolation technique, a parallel algorithm for solving multi-dimensional equations with high order accuracy is introduced. 展开更多
关键词 Finite element MULTI-PARAMETER error EXPANSION parallel algorithm MULTIPARAMETER SPLITTING EXTRAPOLATION
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Singular Integrals and Weighted Triebel-Lizorkin and Besov Spaces of Arbitrary Number of Parameters 被引量:7
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作者 Guo Zhen LU Yue Ping ZHU 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2013年第1期39-52,共14页
Though the theory of Triebel-Lizorkin and Besov spaces in one-parameter has been developed satisfactorily, not so much has been done for the multiparameter counterpart of such a theory. In this paper, we introduce the... Though the theory of Triebel-Lizorkin and Besov spaces in one-parameter has been developed satisfactorily, not so much has been done for the multiparameter counterpart of such a theory. In this paper, we introduce the weighted Triebel-Lizorkin and Besov spaces with an arbitrary number of parameters and prove the boundedness of singular integral operators on these spaces using discrete Littlewood-Paley theory and Calderon's identity. This is inspired by the work of discrete Littlewood- Paley analysis with two parameters of implicit dilations associated with the flag singular integrals recently developed by Han and Lu [12]. Our approach of derivation of the boundedness of singular integrals on these spaces is substantially different from those used in the literature where atomic decomposition on the one-parameter Triebel-Lizorkin and Besov spaces played a crucial role. The discrete Littlewood-Paley analysis allows us to avoid using the atomic decomposition or deep Journe's covering lemma in multiparameter setting. 展开更多
关键词 Singular integrals multiparameter weighted Triebel-Lizorkin spaces multiparameter weighted Besov spaces discrete Littlewood-Paley analysis discrete Calderon identity vector-valued maximal functions
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