Objective To observe the efficacy difference of renal colic treated with electroacupuncture in comparison with intramuscular injection with Fortanodyn. Methods Fifty-one patients with renal colic were randomly divided...Objective To observe the efficacy difference of renal colic treated with electroacupuncture in comparison with intramuscular injection with Fortanodyn. Methods Fifty-one patients with renal colic were randomly divided into an electroacupuncture group （26 cases） and a medicine group （25 cases）. In the electroacupuncture group, electroacupuncture was applied to the Xi-cleft points of kidney and bladder meridians, named Shuǐquán （水泉 KI 5） and Jīnmén （金门 BL 63） as well as the relevant Front-mu points, Jīngmén （京门 GB 25） and Zhōngjí （中极 CV 3）. In the medicine group, intramuscular injection with Fortanodyn （100 mg） was administered. Once treatment was applied for immediate analgesia in each group. Before and after treatment, the Simplified McGill Pain Questionnaire （SF-MPQ） and the Visual Analogy Scale （VAS） were adopted for pain assessment respectively. The clinical efficacy and the recurrence of the disease were observed in the two groups. Results The clinically cured and remarkably effective rate was 69.2% （18/26） in the electroacupuncture group, which was superior to 44.0% （11/25） in the medicine group （P0.05）. Separately, in 10 min, 30 min, 60 min and 120 min after treatment, in either group, SF-MPQ and VAS scores were obviously reduced as compared with those before treatment （all P0.05）. The scores in 10 min and 30 min after treatment in the electroacupuncture group were reduced more remarkably as compared with those in the medicine group （both P0.05）. The complete remission time in the electroacupuncture group was shorter apparently than that in the medicine group [（131.19±152.12） min vs （184.29±84.04） min, P0.05]. The recurrence rate of renal colic in 24 h was 8.0% （2/25） in the electroacupuncture group, which was lower slightly than 31.6% （6/19） in the medicine group （P0.05）. Conclusion Renal colic can be effectively relieved in the treatment with either electroacupuncture at the Xi-cleft points and the Front-mu points of kidney and bladder meridians or intramuscular injection with Fortanodyn. But, the electroacupuncture therapy achieves much better efficacy.展开更多
Objective To observe the influences of electroacupuncture at the combination of back-shu and front-mu points on insulin sensitivity indicators and somatological parameter indicators in the patients with obesity compli...Objective To observe the influences of electroacupuncture at the combination of back-shu and front-mu points on insulin sensitivity indicators and somatological parameter indicators in the patients with obesity complicated with insulin resistance.Methods A total of 60 patients with obesity and insulin resistance were randomized into a control group(30 cases,4 cases of them dropped out)and a trial group(30 cases,2 cases of them dropped out).In the control group,the intervention with diet and exercise were provided.In the trial group,on the base of the treatment as the control group,electroacupuncture was added at the combination of back-shu points and front-mu points,3 times weekly.The duration of treatment was 12 weeks in two groups.The therapeutic effect and the somatological parameter indicators(body mass[BW],body mass index[BMI],waist circumference[WC],waist-to-hip ratio[WHR])as well as the insulin sensitivity indicators(fasting plasma glucose[FPG],fasting insulin[FIN],insulin sensitivity index[ISI]and insulin resistance index[HOMA-IR])before and after treatment were compared between two groups.Results①The effective rate was 92.86%in the trial group and was 57.69%in the control group.The effective rate of the trial group was higher than the control group,indicating the statistical difference(P<0.01).②BW,BMI,WC and WHR after treatment were all reduced obviously as compared with before treatment in two groups(all P<0.01).After treatment,BMI,WC and WHR in the trial group were all lower than those in the control group(all P<0.05)and the differences in BW,BMI,WC and WHR before and after treatment in the trial group were larger than those in the control group(all P<0.01).③After treatment,FIN and HOMA-IR were all lower significantly than those before treatment in two group and ISI was increased significantly as compared with before treatment(all P<0.01).After treatment,FPG was reduced significantly as compared with before treatment in the trial group(P<0.01)and the difference in FPG was not significant statistically in the control group(P>0.05).After treatment,FPG and HOMA-IR in the trial group were lower than the control group and ISI was higher than the control group(all P<0.05).Besides,the differences in FPG,FIN,ISI and HOMA-IR before and after treatment in the trial group were larger significantly than those in the control group(P<0.01,P<0.05).Conclusion Electroacupuncture at the combination of back-shu and front-mu points in association with the intervention with diet and exercise is effective on obesity complicated with insulin resistance.The effects of this combined therapy are superior as compared with simple intervention with diet and exercise in body mass,body mass index,waist circumference and waist-to-lip ratio as well as fasting blood glucose,fasting insulin,insulin sensitivity index and insulin resistance index in patients.展开更多
OBJECTIVE: To investigate the effects of needling the Shu, Yuan, and Mu acupoints on serum uric acid(SUA), xanthine oxidase(XOD), and alkaline phosphatase(ALP) levels and the kidney index in a rat model of gout and hy...OBJECTIVE: To investigate the effects of needling the Shu, Yuan, and Mu acupoints on serum uric acid(SUA), xanthine oxidase(XOD), and alkaline phosphatase(ALP) levels and the kidney index in a rat model of gout and hyperuricemia.METHODS: Fifty rats were randomly divided into five groups: blank, model, Shu-acupoint, Yuan-acupoint, and Mu-acupoint groups. A rat model of hyperuricemia was developed by intragastric administration of adenine and ethambutol. This experiment last for 90 d in total. Treatment groups underwent 3 courses of acupuncture. Each course involved a total of 10 interventions(one intervention every second day) with each intervention lasting15 min. There was a break for 10 d between courses. SUA and ALP were analyzed using an automatic biochemical analyzer and XOD was analyzed using immunofluorescence.RESULTS: Compared with the blank group, SUA and XOD levels in the model group were significantly higher and the renal index significantly improved. Compared with the model group, SUA and XOD levels in the three treatment groups decreased and the renal index significantly improved.When the three treatment groups were compared,the Mu-acupoint group showed the greatest decreases in SUA and XOD levels, followed by the Yuan-acupoint group. There was no significant difference in kidney index among the three treatment groups. There was no significant difference in ALP levels among the groups.CONCLUSION: The three treatments showed significantly reduced SUA and XOD levels compared with the control groups, possibly suggesting reduced renal damage.展开更多
Background:The medicinal material known as Os Draconis(Longgu)originates from fossilized remains of ancient mammals and is widely used in treating emotional and mental conditions.However,fossil resources are nonrenewa...Background:The medicinal material known as Os Draconis(Longgu)originates from fossilized remains of ancient mammals and is widely used in treating emotional and mental conditions.However,fossil resources are nonrenewable,and clinical demand is increasingly difficult to meet,leading to a proliferation of counterfeit products.During prolonged geological burial,static pressure from the surrounding strata severely compromises the microstructural integrity of osteons in Os Draconis,but Os Draconis still largely retains the structural features of mammalian bone.Methods:Using verified authentic Os Draconis samples over 10,000 years old as a baseline,this study summarizes the ultrastructural characteristics of genuine Os Draconis.Employing electron probe microanalysis and optical polarized light microscopy,we examined 28 batches of authentic Os Draconis and 31 batches of counterfeits to identify their ultrastructural differences.Key points for ultrastructural identification of Os Draconis were compiled,and a new identification approach was proposed based on these differences.Results:Authentic Os Draconis exhibited distinct ultrastructural markers:irregularly shaped osteons with traversing fissures,deformed/displaced Haversian canals,and secondary mineral infill(predominantly calcium carbonate).Counterfeits showed regular osteon arrangements,absent traversal fissures,and homogeneous hydroxyapatite composition.Lab-simulated samples lacked structural degradation features.EPMA confirmed calcium carbonate infill in fossilized Haversian canals,while elemental profiles differentiated lacunae types(void vs.mineral-packed).Conclusion:The study established ultrastructural criteria for authentic Os Draconis identification:osteon deformation,geological fissures penetrating bone units,and heterogenous mineral deposition.These features,unattainable in counterfeits or modern processed bones,provide a cost-effective,accurate identification method.This approach bridges gaps in TCM material standardization and supports quality control for clinical applications.展开更多
In the multilayer film-substrate system,thermal stress concentration and stress mutations cause film buckling,delamination and cracking,leading to device failure.In this paper,we investigated a multilayer film system ...In the multilayer film-substrate system,thermal stress concentration and stress mutations cause film buckling,delamination and cracking,leading to device failure.In this paper,we investigated a multilayer film system composed of a substrate and three film layers.The thermal stress distribution inside the structure was calculated by the finite element method,revealing significant thermal stress differences between the layers.This is mainly due to the mismatch of the coefficient of thermal expansion between materials.Different materials respond differently to changes in external temperature,leading to compression between layers.There are obvious thermal stress concentration points at the corners of the base layer and the transition layer,which is due to the sudden change of the shape at the geometric section of the structure,resulting in a sudden increase in local stress.To address this issue,we chamfered the substrate and added an intermediate layer between the substrate and the transition layer to assess whether these modifications could reduce or eliminate the thermal stress concentration points and extend the service life of the multilayer structure.The results indicate that chamfering and adding the intermediate layer effectively reduce stress discontinuities and mitigate thermal stress concentration points,thereby improving interlayer bonding strength.展开更多
Objective To contrastively observe the effect of electroacupuncture at lower he-sea points of stomach, large intestine, small intestine and gallbladder of acute gastric mucosal lesion（AGML） model rats on the express...Objective To contrastively observe the effect of electroacupuncture at lower he-sea points of stomach, large intestine, small intestine and gallbladder of acute gastric mucosal lesion（AGML） model rats on the expression of serum high mobility group protein B 1（HMGB 1）, tumor necrosis factor-α（TNF-α） and nuclear factor-κB（NF-κB） of gastric tissue, and to explore whether the lower he-sea points of stomach have relative specificity in treatment of stomach diseases. Methods Seventy healthy SD rats were randomly divided into seven groups, including control group, model group, ＂Zúsānlǐ＂（足三里 ST 36） group, ＂Shàngjùxū＂（上巨虚 ST 37） group, ＂Xiàjùxū＂（下巨虚 ST 39） group, ＂Yánglíngquán＂（阳陵泉 GB 34） group and ＂Chéngjīn＂（承筋 BL 56） group, with five male rats and five female rats in each group. Acute gastric mucosal lesion model was established by applying WRS method. After successful modeling and treatment for ten days, sampling was conducted, gastric mucosal lesion was observed visually and scored, the levels of serum HMGB 1 and gastric tissue TNF-α were detected by ELISA method, and the expression of NF-κB was detected by immunohistochemical method. Results①Compared with the model group, the levels of Ulcers and inflammation（UI） in gastric mucosal and serum HMGB1, and the expression of gastric tissue TNF-α and NF-κB in the four lower he-sea points groups reduced（P〈0.01 or P〈0.05）;② compared with ST 36 group, the levels of gastric mucosal UI and serum HMGB1, and the expression of gastric mucosal TNF-α and NF-κB in other treatment groups increased significantly, and the difference was statistically significant（P〈0.01 or P〈0.05）. Conclusion①Electroacupuncture at relevant lower he-sea points can inhibit the body＇s immune response, relieve inflammatory reaction and reduce mucosal lesion by regulating HMGB 1, TNF-α and NF-κB, so as to realize the intervention and treatment on AGML rats;② the total intervention effect in ST 36 group is superior to that in other groups, indicating partially that there is a relative specificity between ST 36 and stomach.展开更多
Objective： To observe the clinical efficacy of electroacupuncture at facial acupoints combined with electrical stimulation on the auricular vagus nerve points for treatment of chloasma.Methods： Sixty patients with c...Objective： To observe the clinical efficacy of electroacupuncture at facial acupoints combined with electrical stimulation on the auricular vagus nerve points for treatment of chloasma.Methods： Sixty patients with chloasma were selected. According to acupoint selection along facial nerve trunk initially created by professor Gao Wei-bin, Yifeng（翳风TE 17）, Shangguan（上关GB 3） Sizhukong（丝竹空 TE 23）,temporal branches, Xiaguan（下关 ST 7） Sibai（四白 ST 2）,zygomatic branches, Qianzheng（牵正）Quanliao（颧髎 SI 18）,zygomatic branches, Jiache（颊车 ST 6） Chengjiang（承浆 CV 24）,buccal branches, and Hegu（合谷 LI 4）. The auricular vagus nerve acupoints was added additionally（two distribution points in each cavity of auricular concha were selected）. Electroacupuncture was conducted for30 min/time, once a day, and 6 times/week. One day was free from treatment between 2 weeks. Treatment for 4 weeks was 1 course of treatment, and the effect was observed after 1 course.Results： Cured： 39 cases, markedly effective： 13 cases, effective： 6 cases, ineffective： 3 cases. The cure rate was 65%, and the total effective rate was up to 95.0%.Conclusion： The curative effect of electroacupuncture at facial acupoints combined with electrical stimulation on the auricular vagus nerve points for treatment of chloasma was satisfactory.展开更多
This paper introduces part of the content in the association standard,T/CAAM0002–2020 Nomenclature and Location of Acupuncture Points for Laboratory Animals Part 3:Mouse.This standard was released by the China Associ...This paper introduces part of the content in the association standard,T/CAAM0002–2020 Nomenclature and Location of Acupuncture Points for Laboratory Animals Part 3:Mouse.This standard was released by the China Association of Acupuncture and Moxibustion on May 15,2020,implemented on October 31,2020,and published by Standards Press of China.The standard was drafted by the Institute of Acupuncture and Moxibustion,China Academy of Chinese Medical Sciences,and the Nanjing University of Chinese Medicine.Principal draftsmen:Xiang-hong JING and Xing-bang HUA.Participating draftsmen:Wan-zhu BAI,Bin XU,Dong-sheng XU,Yi GUO,Tie-ming MA,Xin-jun WANG,and Sheng-feng LU.展开更多
Objective To compare the different therapeutic effect between acupuncture at Shiqizhui （十七椎 EX-B 8） only and multi-acupoints on dysmenorrhea. Methods Thirty-eight cases were randomly divided into asingle acupoin...Objective To compare the different therapeutic effect between acupuncture at Shiqizhui （十七椎 EX-B 8） only and multi-acupoints on dysmenorrhea. Methods Thirty-eight cases were randomly divided into asingle acupoint group and a multi-acupoints group, 19 cases in each group. The single acupoint group was treated by acupuncture at Shfqizhui （十七椎EX-B 8） only, and the multi-acupoints group by acupuncture at Shlqizhui （十七椎EX-B 8）, Sanyinjiao （三阴交SP 6）, Diji （地机 SP 8）, Ciliao （次髎 BL 32）. They were all treated from the first day when sudden intense pain occured, one time each day, for 3 days in each menstrual cycle, the treatment of three menstrual cycles. The therapeutic effect and Visual Analogue Scale （VAS） were compared and the scores of general frequency and severity of dysmenorrhea by using Cox Menstrual Symptom Scale （CMSS） were evaluated. Results The cured rate was 68.4% （13/19） and the effective rate was 31.6% （6/19） in the single acupoint group, being similar to 78.9% （15/19） and 21.1% （4/19） in the muhi-acupoints group （P〉0.05）. VAS and the scores of general frequency and severity of dysmenorrhea were all significantly decreased after treatment in both groups （all P〈0.001）, with no significant difference between the two groups （all P〉0.05）. Conclusion Acupuncture at Shiqizhui （十七椎 EX-B 8） only can be as effective as selecting multi-acupoints to cure primary dysmenorrhea.展开更多
Electroacupuncture at Shangjuxu （ST37） and Tianshu （ST25） was reported to improve visceral hypersensitivity in rats, Colorectal distension was utilized to generate a rat model of chronic visceral hypersensitivity ...Electroacupuncture at Shangjuxu （ST37） and Tianshu （ST25） was reported to improve visceral hypersensitivity in rats, Colorectal distension was utilized to generate a rat model of chronic visceral hypersensitivity in irritable bowel syndrome, Results showed that abdominal withdrawal reflex scores noticeably increased after model establishment. Simultaneously, P2X4 receptor immunore- activity significantly increased in the colon and spinal cord. Electroacupuncture and pinaverium bromide therapy both markedly decreased abdominal withdrawal reflex scores in rats with visceral hypersensitivity, and significantly decreased P2X4 receptor immunoreactivity in the colon and spinal cord. These data suggest that electroacupuncture treatment can improve visceral hypersensitivity in rats with irritable bowel syndrome by diminishing P2X4 receptor immunoreactivity in the colon and spinal cord,展开更多
In this article, we introduce a new viscosity iterative method for two nonexpansive mappings in Hilbert spaces. We also prove, without commutativity assumption, that the iterates converge to a common fixed point of th...In this article, we introduce a new viscosity iterative method for two nonexpansive mappings in Hilbert spaces. We also prove, without commutativity assumption, that the iterates converge to a common fixed point of the mappings which solves some variational inequality. The results presented extend the corresponding results of Shimizu and Takahashi IT. Shimizu, W. Takahashi, Strong convergence to common fixed point of families of nonexpansive mappings, J. Math. Anal. Appl. 211 （1997）, 71-83], and Yao and Chen [Y. Yao, R. Chert, Convergence to common fixed points of average mappings without commutativity assumption in Hilbert spaces, Nonlinear Analysis 67（2007）, 1758-1763].展开更多
This paper studies the regional stability for positive switched linear systems with multi-equilibrium points （PSLS-MEP）. First, a sufficient condition is presented for the regional stability of PSLS-MEP via a common...This paper studies the regional stability for positive switched linear systems with multi-equilibrium points （PSLS-MEP）. First, a sufficient condition is presented for the regional stability of PSLS-MEP via a common linear Lyapunov function. Second, by establishing multiple Lyapunov functions, a dwell time based condition is proposed for the regional stability analysis. Third, a suprasphere which contains all equilibrium points is constructed as a stability region of the considered PSLS-MEP, which is less conservative than existing results. Finally, the study of an illustrative example shows that the obtained results are effective in the regional stability analysis of PSLS-MEP.展开更多
The success of robot-assisted pelvic fracture reduction surgery heavily relies on the accuracy of 3D/3D feature-based registration.This process involves extracting anatomical feature points from pre-operative 3D image...The success of robot-assisted pelvic fracture reduction surgery heavily relies on the accuracy of 3D/3D feature-based registration.This process involves extracting anatomical feature points from pre-operative 3D images which can be challenging because of the complex and variable structure of the pelvis.PointMLP_RegNet,a modified PointMLP,was introduced to address this issue.It retains the feature extraction module of PointMLP but replaces the classification layer with a regression layer to predict the coordinates of feature points instead of conducting regular classification.A flowchart for an automatic feature points extraction method was presented,and a series of experiments was conducted on a clinical pelvic dataset to confirm the accuracy and effectiveness of the method.PointMLP_RegNet extracted feature points more accurately,with 8 out of 10 points showing less than 4 mm errors and the remaining two less than 5 mm.Compared to PointNettt and PointNet,it exhibited higher accuracy,robustness and space efficiency.The proposed method will improve the accuracy of anatomical feature points extraction,enhance intra-operative registration precision and facilitate the widespread clinical application of robot-assisted pelvic fracture reduction.展开更多
OBJECTIVE:To examine whether transcutaneous electric nerve stimulation at acupoints(Acu-TENS)improved the biochemical and physical indices of patients with type 2 diabetes mellitus(T2DM).METHODS:Ninety subjects with T...OBJECTIVE:To examine whether transcutaneous electric nerve stimulation at acupoints(Acu-TENS)improved the biochemical and physical indices of patients with type 2 diabetes mellitus(T2DM).METHODS:Ninety subjects with T2DM were divided randomly into a control group(n = 30),aerobic exercise group(n- 30),or Acu-TENS group(n = 30).In addition to conventional diabetes drug treatment,patients in the Acu-TENS group received acupoint stimulation,the aerobic exercise group engaged in walking exercises,and the control group was given sham electrical stimulation.All groups were treated for 30 min for each session and five times a week for 2 months.The indices of glycosylated hemoglobin,2 h postprandial glucose,fasting serum insulin,triglyceride,total cholesterol,and body mass index were assessed at pre-treatment,post-treatment,and follow-up,which was 2 months after treatment.RESULTS:The indices of the control group were not changed(P > 0.05) at the three time points.At the pre-treatment measurement,there were significant differences(P > 0.05) in indices among the three groups.At post-treatment,each index of the two groups was lower than that of the control group(P < 0.05),and improved in comparison with the pre-treatment measurement(P < 0.05).In follow-up,each index of the aerobic exercise group and Acu-TENS group increased,but was still decreased compared with the pre-treatment value(P < 0.05),excluding body mass index.CONCLUSION:Acu-TENS could improve the state of patients with T2 DM and be used as a therapy in clinical application.展开更多
OBJECTIVE： To investigate the effects of transcutaneous electrical nerve stimulation （TENS） through acupoints on the intraocular pressure （lOP） in patients with glaucoma. METHODS： A single-blinded, randomized ex...OBJECTIVE： To investigate the effects of transcutaneous electrical nerve stimulation （TENS） through acupoints on the intraocular pressure （lOP） in patients with glaucoma. METHODS： A single-blinded, randomized experimental design study was conducted. Patients from the North of Taipei Ophthalmology outpatient department diagnosed with intraocular hypertension were selected and were further enrolled if they met the research subject criteria. The patients who met all criteria, and who met no exclusion criteria became the participants. Participants were randomly assigned into the treated group, wherein the TENS electrodes （Qing Ming Medical Device Co., Ltd., New Taipei City, China） were applied with direct current （DC） on the acupoints Pucan （BL 61） and Shenmai （BL 62） for 20 min. The control group received no TENS electrode treatments. Measurements of lOP were taken four times using a pneumotonometer （Clinico Co., Ltd., New Taipei City, China）, before, immediately after, 30 min after, and 60 min after TENS electrode treatments. RESULTS： Eighty-two participants completed the experiment, lOP decreased more in the group treated with DC （P 〈 0.01） than in the control group.The lOPs were not affected by the age of the patients and their usage of medications. CONCLUSION： TENS of acupoints of Pucan （BL 61） and Shenmai （BL 62） could significantly reduce the lOP in patients with glaucoma.展开更多
Making use of the Z2×Z2 symmetry,we could study the structure near multiple S-treaking turning points.In particular,we show that there exist two kinds of singular point path through double S breaking turning poin...Making use of the Z2×Z2 symmetry,we could study the structure near multiple S-treaking turning points.In particular,we show that there exist two kinds of singular point path through double S breaking turning points and triple S bieaking turning points,one ts quadratic turning pornt path and one is quadratic pitch fork bifurcation point path.Some simple regular extended systems to corn pute double and triple S-breaking turning points are proposed.Numerical examples are also展开更多
With the rapid development of current social economy,China’s infrastructure construction is constantly increasing.The development of transportation industry and road structure which serve as infrastructure facility f...With the rapid development of current social economy,China’s infrastructure construction is constantly increasing.The development of transportation industry and road structure which serve as infrastructure facility for the vehicles are fundamental aspect in economy growth.It’s not only convenience to people for travel,but also as a good foundation for the development of economy.Therefore,the quality of road construction is of great significance importance in the process of development.As technology advances,engineering construction is continuously expanding,especially in the road engineering sector.In this point,it’s necessary to impose strict quality control over related matters and ensure the quality and safety of municipal road construction.In the construction of municipal road engineering,one of the most important components is the compaction of subgrades and pavements,which requires more supervision.The compaction should match the requirements of road design and implement relevant work.展开更多
Traditional cubature Kalman filter(CKF)is a preferable tool for the inertial navigation system(INS)/global positioning system(GPS)integration under Gaussian noises.The CKF,however,may provide a significantly biased es...Traditional cubature Kalman filter(CKF)is a preferable tool for the inertial navigation system(INS)/global positioning system(GPS)integration under Gaussian noises.The CKF,however,may provide a significantly biased estimate when the INS/GPS system suffers from complex non-Gaussian disturbances.To address this issue,a robust nonlinear Kalman filter referred to as cubature Kalman filter under minimum error entropy with fiducial points(MEEF-CKF)is proposed.The MEEF-CKF behaves a strong robustness against complex nonGaussian noises by operating several major steps,i.e.,regression model construction,robust state estimation and free parameters optimization.More concretely,a regression model is constructed with the consideration of residual error caused by linearizing a nonlinear function at the first step.The MEEF-CKF is then developed by solving an optimization problem based on minimum error entropy with fiducial points(MEEF)under the framework of the regression model.In the MEEF-CKF,a novel optimization approach is provided for the purpose of determining free parameters adaptively.In addition,the computational complexity and convergence analyses of the MEEF-CKF are conducted for demonstrating the calculational burden and convergence characteristic.The enhanced robustness of the MEEF-CKF is demonstrated by Monte Carlo simulations on the application of a target tracking with INS/GPS integration under complex nonGaussian noises.展开更多
In this article,two results concerning the periodic points and normality of meromorphic functions are obtained:(i)the exact lower bound for the numbers of periodic points of rational functions with multiple fixed poin...In this article,two results concerning the periodic points and normality of meromorphic functions are obtained:(i)the exact lower bound for the numbers of periodic points of rational functions with multiple fixed points and zeros is proven by let ting R(z)be a nonpolynomial rational function,and if all zeros and poles of R(z)—z are multiple,then Rk(z)has at least k+1 fixed points in the complex plane for each integer k≥2;(ii)a complete solution to the problem of normality of meromorphic functions with periodic points is given by let ting F be a family of meromorphic functions in a domain D,and let ting k≥2 be a positive integer.If,for each f∈F,all zeros and poles of f(z)-z are multiple,and its iteration fk has at most k distinct fixed points in D,then F is normal in D.Examples show that all of the conditions are the best possible.展开更多
In this paper, the least square estimator in the problem of multiple change points estimation is studied. Here, the moving-average processes of ALNQD sequence in the mean shifts are discussed. When the number of chang...In this paper, the least square estimator in the problem of multiple change points estimation is studied. Here, the moving-average processes of ALNQD sequence in the mean shifts are discussed. When the number of change points is known, the rate of convergence of change-points estimation is derived. The result is also true for p-mixing, φ-mixing, a-mixing, associated and negatively associated sequences under suitable conditions.展开更多
文摘Objective To observe the efficacy difference of renal colic treated with electroacupuncture in comparison with intramuscular injection with Fortanodyn. Methods Fifty-one patients with renal colic were randomly divided into an electroacupuncture group （26 cases） and a medicine group （25 cases）. In the electroacupuncture group, electroacupuncture was applied to the Xi-cleft points of kidney and bladder meridians, named Shuǐquán （水泉 KI 5） and Jīnmén （金门 BL 63） as well as the relevant Front-mu points, Jīngmén （京门 GB 25） and Zhōngjí （中极 CV 3）. In the medicine group, intramuscular injection with Fortanodyn （100 mg） was administered. Once treatment was applied for immediate analgesia in each group. Before and after treatment, the Simplified McGill Pain Questionnaire （SF-MPQ） and the Visual Analogy Scale （VAS） were adopted for pain assessment respectively. The clinical efficacy and the recurrence of the disease were observed in the two groups. Results The clinically cured and remarkably effective rate was 69.2% （18/26） in the electroacupuncture group, which was superior to 44.0% （11/25） in the medicine group （P0.05）. Separately, in 10 min, 30 min, 60 min and 120 min after treatment, in either group, SF-MPQ and VAS scores were obviously reduced as compared with those before treatment （all P0.05）. The scores in 10 min and 30 min after treatment in the electroacupuncture group were reduced more remarkably as compared with those in the medicine group （both P0.05）. The complete remission time in the electroacupuncture group was shorter apparently than that in the medicine group [（131.19±152.12） min vs （184.29±84.04） min, P0.05]. The recurrence rate of renal colic in 24 h was 8.0% （2/25） in the electroacupuncture group, which was lower slightly than 31.6% （6/19） in the medicine group （P0.05）. Conclusion Renal colic can be effectively relieved in the treatment with either electroacupuncture at the Xi-cleft points and the Front-mu points of kidney and bladder meridians or intramuscular injection with Fortanodyn. But, the electroacupuncture therapy achieves much better efficacy.
基金Supported by Clinical Medical Technology Innovation Guidance Project of Hunan Province:2017SK50114。
文摘Objective To observe the influences of electroacupuncture at the combination of back-shu and front-mu points on insulin sensitivity indicators and somatological parameter indicators in the patients with obesity complicated with insulin resistance.Methods A total of 60 patients with obesity and insulin resistance were randomized into a control group(30 cases,4 cases of them dropped out)and a trial group(30 cases,2 cases of them dropped out).In the control group,the intervention with diet and exercise were provided.In the trial group,on the base of the treatment as the control group,electroacupuncture was added at the combination of back-shu points and front-mu points,3 times weekly.The duration of treatment was 12 weeks in two groups.The therapeutic effect and the somatological parameter indicators(body mass[BW],body mass index[BMI],waist circumference[WC],waist-to-hip ratio[WHR])as well as the insulin sensitivity indicators(fasting plasma glucose[FPG],fasting insulin[FIN],insulin sensitivity index[ISI]and insulin resistance index[HOMA-IR])before and after treatment were compared between two groups.Results①The effective rate was 92.86%in the trial group and was 57.69%in the control group.The effective rate of the trial group was higher than the control group,indicating the statistical difference(P<0.01).②BW,BMI,WC and WHR after treatment were all reduced obviously as compared with before treatment in two groups(all P<0.01).After treatment,BMI,WC and WHR in the trial group were all lower than those in the control group(all P<0.05)and the differences in BW,BMI,WC and WHR before and after treatment in the trial group were larger than those in the control group(all P<0.01).③After treatment,FIN and HOMA-IR were all lower significantly than those before treatment in two group and ISI was increased significantly as compared with before treatment(all P<0.01).After treatment,FPG was reduced significantly as compared with before treatment in the trial group(P<0.01)and the difference in FPG was not significant statistically in the control group(P>0.05).After treatment,FPG and HOMA-IR in the trial group were lower than the control group and ISI was higher than the control group(all P<0.05).Besides,the differences in FPG,FIN,ISI and HOMA-IR before and after treatment in the trial group were larger significantly than those in the control group(P<0.01,P<0.05).Conclusion Electroacupuncture at the combination of back-shu and front-mu points in association with the intervention with diet and exercise is effective on obesity complicated with insulin resistance.The effects of this combined therapy are superior as compared with simple intervention with diet and exercise in body mass,body mass index,waist circumference and waist-to-lip ratio as well as fasting blood glucose,fasting insulin,insulin sensitivity index and insulin resistance index in patients.
基金Supported by Central Universities Fundamental Research Funds Project(Graduate Programs)from the Beijing University of Chinese Medicine:Experiment Research on the Effects of Acupuncturing Shu,Yuan,and Mu Acupoints in a Rat Model of Gout and Hyperuricemia(No.2015-JYB-XS127)
文摘OBJECTIVE: To investigate the effects of needling the Shu, Yuan, and Mu acupoints on serum uric acid(SUA), xanthine oxidase(XOD), and alkaline phosphatase(ALP) levels and the kidney index in a rat model of gout and hyperuricemia.METHODS: Fifty rats were randomly divided into five groups: blank, model, Shu-acupoint, Yuan-acupoint, and Mu-acupoint groups. A rat model of hyperuricemia was developed by intragastric administration of adenine and ethambutol. This experiment last for 90 d in total. Treatment groups underwent 3 courses of acupuncture. Each course involved a total of 10 interventions(one intervention every second day) with each intervention lasting15 min. There was a break for 10 d between courses. SUA and ALP were analyzed using an automatic biochemical analyzer and XOD was analyzed using immunofluorescence.RESULTS: Compared with the blank group, SUA and XOD levels in the model group were significantly higher and the renal index significantly improved. Compared with the model group, SUA and XOD levels in the three treatment groups decreased and the renal index significantly improved.When the three treatment groups were compared,the Mu-acupoint group showed the greatest decreases in SUA and XOD levels, followed by the Yuan-acupoint group. There was no significant difference in kidney index among the three treatment groups. There was no significant difference in ALP levels among the groups.CONCLUSION: The three treatments showed significantly reduced SUA and XOD levels compared with the control groups, possibly suggesting reduced renal damage.
基金supported by the Scientific and Technological Innovation Project of the China Academy of Chinese Medical Sciences(CI2021A04013)the National Natural Science Foundation of China(82204610)+1 种基金the Qihang Talent Program(L2022046)the Fundamental Research Funds for the Central Public Welfare Research Institutes(ZZ15-YQ-041 and L2021029).
文摘Background:The medicinal material known as Os Draconis(Longgu)originates from fossilized remains of ancient mammals and is widely used in treating emotional and mental conditions.However,fossil resources are nonrenewable,and clinical demand is increasingly difficult to meet,leading to a proliferation of counterfeit products.During prolonged geological burial,static pressure from the surrounding strata severely compromises the microstructural integrity of osteons in Os Draconis,but Os Draconis still largely retains the structural features of mammalian bone.Methods:Using verified authentic Os Draconis samples over 10,000 years old as a baseline,this study summarizes the ultrastructural characteristics of genuine Os Draconis.Employing electron probe microanalysis and optical polarized light microscopy,we examined 28 batches of authentic Os Draconis and 31 batches of counterfeits to identify their ultrastructural differences.Key points for ultrastructural identification of Os Draconis were compiled,and a new identification approach was proposed based on these differences.Results:Authentic Os Draconis exhibited distinct ultrastructural markers:irregularly shaped osteons with traversing fissures,deformed/displaced Haversian canals,and secondary mineral infill(predominantly calcium carbonate).Counterfeits showed regular osteon arrangements,absent traversal fissures,and homogeneous hydroxyapatite composition.Lab-simulated samples lacked structural degradation features.EPMA confirmed calcium carbonate infill in fossilized Haversian canals,while elemental profiles differentiated lacunae types(void vs.mineral-packed).Conclusion:The study established ultrastructural criteria for authentic Os Draconis identification:osteon deformation,geological fissures penetrating bone units,and heterogenous mineral deposition.These features,unattainable in counterfeits or modern processed bones,provide a cost-effective,accurate identification method.This approach bridges gaps in TCM material standardization and supports quality control for clinical applications.
基金the support of the National Natural Science Foundation of China(Grant Nos.51606158,11604311 and 12074151)the Guangxi Science and Technology Base and Talent Special Project(Grant No.AD21075009)+2 种基金the Sichuan Science and Technology Program(Grant No.2021JDRC0022)the Open Fund of the Key Laboratory for Metallurgical Equipment and Control Technology of Ministry of Education in Wuhan University of Science and Technology,People's Republic of China(Grant Nos.MECOF2022B01 and MECOF2023B04)the Guangxi Key Laboratory of Precision Navigation Technology and Application,Guilin University of Electronic Technology(Grant No.DH202321)。
文摘In the multilayer film-substrate system,thermal stress concentration and stress mutations cause film buckling,delamination and cracking,leading to device failure.In this paper,we investigated a multilayer film system composed of a substrate and three film layers.The thermal stress distribution inside the structure was calculated by the finite element method,revealing significant thermal stress differences between the layers.This is mainly due to the mismatch of the coefficient of thermal expansion between materials.Different materials respond differently to changes in external temperature,leading to compression between layers.There are obvious thermal stress concentration points at the corners of the base layer and the transition layer,which is due to the sudden change of the shape at the geometric section of the structure,resulting in a sudden increase in local stress.To address this issue,we chamfered the substrate and added an intermediate layer between the substrate and the transition layer to assess whether these modifications could reduce or eliminate the thermal stress concentration points and extend the service life of the multilayer structure.The results indicate that chamfering and adding the intermediate layer effectively reduce stress discontinuities and mitigate thermal stress concentration points,thereby improving interlayer bonding strength.
基金Supported by:National Natural Science Foundation of China(81173327,81303048)
文摘Objective To contrastively observe the effect of electroacupuncture at lower he-sea points of stomach, large intestine, small intestine and gallbladder of acute gastric mucosal lesion（AGML） model rats on the expression of serum high mobility group protein B 1（HMGB 1）, tumor necrosis factor-α（TNF-α） and nuclear factor-κB（NF-κB） of gastric tissue, and to explore whether the lower he-sea points of stomach have relative specificity in treatment of stomach diseases. Methods Seventy healthy SD rats were randomly divided into seven groups, including control group, model group, ＂Zúsānlǐ＂（足三里 ST 36） group, ＂Shàngjùxū＂（上巨虚 ST 37） group, ＂Xiàjùxū＂（下巨虚 ST 39） group, ＂Yánglíngquán＂（阳陵泉 GB 34） group and ＂Chéngjīn＂（承筋 BL 56） group, with five male rats and five female rats in each group. Acute gastric mucosal lesion model was established by applying WRS method. After successful modeling and treatment for ten days, sampling was conducted, gastric mucosal lesion was observed visually and scored, the levels of serum HMGB 1 and gastric tissue TNF-α were detected by ELISA method, and the expression of NF-κB was detected by immunohistochemical method. Results①Compared with the model group, the levels of Ulcers and inflammation（UI） in gastric mucosal and serum HMGB1, and the expression of gastric tissue TNF-α and NF-κB in the four lower he-sea points groups reduced（P〈0.01 or P〈0.05）;② compared with ST 36 group, the levels of gastric mucosal UI and serum HMGB1, and the expression of gastric mucosal TNF-α and NF-κB in other treatment groups increased significantly, and the difference was statistically significant（P〈0.01 or P〈0.05）. Conclusion①Electroacupuncture at relevant lower he-sea points can inhibit the body＇s immune response, relieve inflammatory reaction and reduce mucosal lesion by regulating HMGB 1, TNF-α and NF-κB, so as to realize the intervention and treatment on AGML rats;② the total intervention effect in ST 36 group is superior to that in other groups, indicating partially that there is a relative specificity between ST 36 and stomach.
基金Supported by Postgraduate innovative research project of Heilongjiang Univer-sity of Chinese Medicine:yjscx2017032~~
文摘Objective： To observe the clinical efficacy of electroacupuncture at facial acupoints combined with electrical stimulation on the auricular vagus nerve points for treatment of chloasma.Methods： Sixty patients with chloasma were selected. According to acupoint selection along facial nerve trunk initially created by professor Gao Wei-bin, Yifeng（翳风TE 17）, Shangguan（上关GB 3） Sizhukong（丝竹空 TE 23）,temporal branches, Xiaguan（下关 ST 7） Sibai（四白 ST 2）,zygomatic branches, Qianzheng（牵正）Quanliao（颧髎 SI 18）,zygomatic branches, Jiache（颊车 ST 6） Chengjiang（承浆 CV 24）,buccal branches, and Hegu（合谷 LI 4）. The auricular vagus nerve acupoints was added additionally（two distribution points in each cavity of auricular concha were selected）. Electroacupuncture was conducted for30 min/time, once a day, and 6 times/week. One day was free from treatment between 2 weeks. Treatment for 4 weeks was 1 course of treatment, and the effect was observed after 1 course.Results： Cured： 39 cases, markedly effective： 13 cases, effective： 6 cases, ineffective： 3 cases. The cure rate was 65%, and the total effective rate was up to 95.0%.Conclusion： The curative effect of electroacupuncture at facial acupoints combined with electrical stimulation on the auricular vagus nerve points for treatment of chloasma was satisfactory.
文摘This paper introduces part of the content in the association standard,T/CAAM0002–2020 Nomenclature and Location of Acupuncture Points for Laboratory Animals Part 3:Mouse.This standard was released by the China Association of Acupuncture and Moxibustion on May 15,2020,implemented on October 31,2020,and published by Standards Press of China.The standard was drafted by the Institute of Acupuncture and Moxibustion,China Academy of Chinese Medical Sciences,and the Nanjing University of Chinese Medicine.Principal draftsmen:Xiang-hong JING and Xing-bang HUA.Participating draftsmen:Wan-zhu BAI,Bin XU,Dong-sheng XU,Yi GUO,Tie-ming MA,Xin-jun WANG,and Sheng-feng LU.
基金Supported by Chinese Medicine Project of "Eleventh Five-Year" National Technology Support Program: 2006 BAI 12 B 06
文摘Objective To compare the different therapeutic effect between acupuncture at Shiqizhui （十七椎 EX-B 8） only and multi-acupoints on dysmenorrhea. Methods Thirty-eight cases were randomly divided into asingle acupoint group and a multi-acupoints group, 19 cases in each group. The single acupoint group was treated by acupuncture at Shfqizhui （十七椎EX-B 8） only, and the multi-acupoints group by acupuncture at Shlqizhui （十七椎EX-B 8）, Sanyinjiao （三阴交SP 6）, Diji （地机 SP 8）, Ciliao （次髎 BL 32）. They were all treated from the first day when sudden intense pain occured, one time each day, for 3 days in each menstrual cycle, the treatment of three menstrual cycles. The therapeutic effect and Visual Analogue Scale （VAS） were compared and the scores of general frequency and severity of dysmenorrhea by using Cox Menstrual Symptom Scale （CMSS） were evaluated. Results The cured rate was 68.4% （13/19） and the effective rate was 31.6% （6/19） in the single acupoint group, being similar to 78.9% （15/19） and 21.1% （4/19） in the muhi-acupoints group （P〉0.05）. VAS and the scores of general frequency and severity of dysmenorrhea were all significantly decreased after treatment in both groups （all P〈0.001）, with no significant difference between the two groups （all P〉0.05）. Conclusion Acupuncture at Shiqizhui （十七椎 EX-B 8） only can be as effective as selecting multi-acupoints to cure primary dysmenorrhea.
基金supported by the National Natural Science Foundation of China,No.30973783the Open Research Fund of Zhejiang First-foremost Key Subject--Acupuncture & Moxibustion,No.ZTK2010A01the scientific research grants of Shanghai Health Bureau,No.2009209
文摘Electroacupuncture at Shangjuxu （ST37） and Tianshu （ST25） was reported to improve visceral hypersensitivity in rats, Colorectal distension was utilized to generate a rat model of chronic visceral hypersensitivity in irritable bowel syndrome, Results showed that abdominal withdrawal reflex scores noticeably increased after model establishment. Simultaneously, P2X4 receptor immunore- activity significantly increased in the colon and spinal cord. Electroacupuncture and pinaverium bromide therapy both markedly decreased abdominal withdrawal reflex scores in rats with visceral hypersensitivity, and significantly decreased P2X4 receptor immunoreactivity in the colon and spinal cord. These data suggest that electroacupuncture treatment can improve visceral hypersensitivity in rats with irritable bowel syndrome by diminishing P2X4 receptor immunoreactivity in the colon and spinal cord,
基金the Thailand Research Fund for financial support under Grant BRG5280016
文摘In this article, we introduce a new viscosity iterative method for two nonexpansive mappings in Hilbert spaces. We also prove, without commutativity assumption, that the iterates converge to a common fixed point of the mappings which solves some variational inequality. The results presented extend the corresponding results of Shimizu and Takahashi IT. Shimizu, W. Takahashi, Strong convergence to common fixed point of families of nonexpansive mappings, J. Math. Anal. Appl. 211 （1997）, 71-83], and Yao and Chen [Y. Yao, R. Chert, Convergence to common fixed points of average mappings without commutativity assumption in Hilbert spaces, Nonlinear Analysis 67（2007）, 1758-1763].
基金supported by National Natural Science Foundation of China(No.61374065)the Research Fund for the Taishan Scholar Project of Shandong Province
文摘This paper studies the regional stability for positive switched linear systems with multi-equilibrium points （PSLS-MEP）. First, a sufficient condition is presented for the regional stability of PSLS-MEP via a common linear Lyapunov function. Second, by establishing multiple Lyapunov functions, a dwell time based condition is proposed for the regional stability analysis. Third, a suprasphere which contains all equilibrium points is constructed as a stability region of the considered PSLS-MEP, which is less conservative than existing results. Finally, the study of an illustrative example shows that the obtained results are effective in the regional stability analysis of PSLS-MEP.
基金supported by the National Key Research and Development Program of China(Grant No.2020YFB1313800)the National Science Foundation of China(Grant No.NSFC62373259)+1 种基金the Natural Science Foundation of Top Talent of SZTU(Grant No.GDRC202303)the Education Promotion Foundation of Guangdong Province(Grant No.2022ZDJS115).
文摘The success of robot-assisted pelvic fracture reduction surgery heavily relies on the accuracy of 3D/3D feature-based registration.This process involves extracting anatomical feature points from pre-operative 3D images which can be challenging because of the complex and variable structure of the pelvis.PointMLP_RegNet,a modified PointMLP,was introduced to address this issue.It retains the feature extraction module of PointMLP but replaces the classification layer with a regression layer to predict the coordinates of feature points instead of conducting regular classification.A flowchart for an automatic feature points extraction method was presented,and a series of experiments was conducted on a clinical pelvic dataset to confirm the accuracy and effectiveness of the method.PointMLP_RegNet extracted feature points more accurately,with 8 out of 10 points showing less than 4 mm errors and the remaining two less than 5 mm.Compared to PointNettt and PointNet,it exhibited higher accuracy,robustness and space efficiency.The proposed method will improve the accuracy of anatomical feature points extraction,enhance intra-operative registration precision and facilitate the widespread clinical application of robot-assisted pelvic fracture reduction.
基金Supported by a Grant from Traditional Chinese Medicine Service Project of Shanghai Health Bureau,A Community Application Study of Oxygen Movement Technology with Transcutaneous Electric Nerve Stimulation at Acupoints in Type 2 Diabetic(No.2009S004)
文摘OBJECTIVE:To examine whether transcutaneous electric nerve stimulation at acupoints(Acu-TENS)improved the biochemical and physical indices of patients with type 2 diabetes mellitus(T2DM).METHODS:Ninety subjects with T2DM were divided randomly into a control group(n = 30),aerobic exercise group(n- 30),or Acu-TENS group(n = 30).In addition to conventional diabetes drug treatment,patients in the Acu-TENS group received acupoint stimulation,the aerobic exercise group engaged in walking exercises,and the control group was given sham electrical stimulation.All groups were treated for 30 min for each session and five times a week for 2 months.The indices of glycosylated hemoglobin,2 h postprandial glucose,fasting serum insulin,triglyceride,total cholesterol,and body mass index were assessed at pre-treatment,post-treatment,and follow-up,which was 2 months after treatment.RESULTS:The indices of the control group were not changed(P > 0.05) at the three time points.At the pre-treatment measurement,there were significant differences(P > 0.05) in indices among the three groups.At post-treatment,each index of the two groups was lower than that of the control group(P < 0.05),and improved in comparison with the pre-treatment measurement(P < 0.05).In follow-up,each index of the aerobic exercise group and Acu-TENS group increased,but was still decreased compared with the pre-treatment value(P < 0.05),excluding body mass index.CONCLUSION:Acu-TENS could improve the state of patients with T2 DM and be used as a therapy in clinical application.
文摘OBJECTIVE： To investigate the effects of transcutaneous electrical nerve stimulation （TENS） through acupoints on the intraocular pressure （lOP） in patients with glaucoma. METHODS： A single-blinded, randomized experimental design study was conducted. Patients from the North of Taipei Ophthalmology outpatient department diagnosed with intraocular hypertension were selected and were further enrolled if they met the research subject criteria. The patients who met all criteria, and who met no exclusion criteria became the participants. Participants were randomly assigned into the treated group, wherein the TENS electrodes （Qing Ming Medical Device Co., Ltd., New Taipei City, China） were applied with direct current （DC） on the acupoints Pucan （BL 61） and Shenmai （BL 62） for 20 min. The control group received no TENS electrode treatments. Measurements of lOP were taken four times using a pneumotonometer （Clinico Co., Ltd., New Taipei City, China）, before, immediately after, 30 min after, and 60 min after TENS electrode treatments. RESULTS： Eighty-two participants completed the experiment, lOP decreased more in the group treated with DC （P 〈 0.01） than in the control group.The lOPs were not affected by the age of the patients and their usage of medications. CONCLUSION： TENS of acupoints of Pucan （BL 61） and Shenmai （BL 62） could significantly reduce the lOP in patients with glaucoma.
基金This work is supported by NSFC amd Slate Major Key Project for Baslc Research
文摘Making use of the Z2×Z2 symmetry,we could study the structure near multiple S-treaking turning points.In particular,we show that there exist two kinds of singular point path through double S breaking turning points and triple S bieaking turning points,one ts quadratic turning pornt path and one is quadratic pitch fork bifurcation point path.Some simple regular extended systems to corn pute double and triple S-breaking turning points are proposed.Numerical examples are also
文摘With the rapid development of current social economy,China’s infrastructure construction is constantly increasing.The development of transportation industry and road structure which serve as infrastructure facility for the vehicles are fundamental aspect in economy growth.It’s not only convenience to people for travel,but also as a good foundation for the development of economy.Therefore,the quality of road construction is of great significance importance in the process of development.As technology advances,engineering construction is continuously expanding,especially in the road engineering sector.In this point,it’s necessary to impose strict quality control over related matters and ensure the quality and safety of municipal road construction.In the construction of municipal road engineering,one of the most important components is the compaction of subgrades and pavements,which requires more supervision.The compaction should match the requirements of road design and implement relevant work.
基金supported by the Fundamental Research Funds for the Central Universities(xzy022020045)the National Natural Science Foundation of China(61976175)。
文摘Traditional cubature Kalman filter(CKF)is a preferable tool for the inertial navigation system(INS)/global positioning system(GPS)integration under Gaussian noises.The CKF,however,may provide a significantly biased estimate when the INS/GPS system suffers from complex non-Gaussian disturbances.To address this issue,a robust nonlinear Kalman filter referred to as cubature Kalman filter under minimum error entropy with fiducial points(MEEF-CKF)is proposed.The MEEF-CKF behaves a strong robustness against complex nonGaussian noises by operating several major steps,i.e.,regression model construction,robust state estimation and free parameters optimization.More concretely,a regression model is constructed with the consideration of residual error caused by linearizing a nonlinear function at the first step.The MEEF-CKF is then developed by solving an optimization problem based on minimum error entropy with fiducial points(MEEF)under the framework of the regression model.In the MEEF-CKF,a novel optimization approach is provided for the purpose of determining free parameters adaptively.In addition,the computational complexity and convergence analyses of the MEEF-CKF are conducted for demonstrating the calculational burden and convergence characteristic.The enhanced robustness of the MEEF-CKF is demonstrated by Monte Carlo simulations on the application of a target tracking with INS/GPS integration under complex nonGaussian noises.
基金supported by the NNSF of China(11901119,11701188)The third author was supported by the NNSF of China(11688101).
文摘In this article,two results concerning the periodic points and normality of meromorphic functions are obtained:(i)the exact lower bound for the numbers of periodic points of rational functions with multiple fixed points and zeros is proven by let ting R(z)be a nonpolynomial rational function,and if all zeros and poles of R(z)—z are multiple,then Rk(z)has at least k+1 fixed points in the complex plane for each integer k≥2;(ii)a complete solution to the problem of normality of meromorphic functions with periodic points is given by let ting F be a family of meromorphic functions in a domain D,and let ting k≥2 be a positive integer.If,for each f∈F,all zeros and poles of f(z)-z are multiple,and its iteration fk has at most k distinct fixed points in D,then F is normal in D.Examples show that all of the conditions are the best possible.
基金Supported by the National Natural Science Foundation of China（10471126）.
文摘In this paper, the least square estimator in the problem of multiple change points estimation is studied. Here, the moving-average processes of ALNQD sequence in the mean shifts are discussed. When the number of change points is known, the rate of convergence of change-points estimation is derived. The result is also true for p-mixing, φ-mixing, a-mixing, associated and negatively associated sequences under suitable conditions.
