Isoperimetric type inequalities for integral geometric invariants of random lines in the Euclidean space are shown.Entropy inequalities of probability densities on the affine Grassmann manifold of lines are given.
In this paper,we obtain some tripled common random fixed point and tripled random fixed point theorems with several generalized Lipschitz constants in such spaces.We consider the obtained assertions without the assump...In this paper,we obtain some tripled common random fixed point and tripled random fixed point theorems with several generalized Lipschitz constants in such spaces.We consider the obtained assertions without the assumption of normality of cones.The presented results generalize some coupled common fixed point theorems in the existing literature.展开更多
Objective:To observe the differences of clinical efficacy of intractable lumbodynia after lumbar disc herniation surgery treated by pestle needling at Yāoyángguān Bāzhèn points,electroacupuncture and west...Objective:To observe the differences of clinical efficacy of intractable lumbodynia after lumbar disc herniation surgery treated by pestle needling at Yāoyángguān Bāzhèn points,electroacupuncture and western medication.Methods:A total of 210 patients with intractable lumbodynia after lumbar disc herniation were randomly divided into pestle needle group,electroacupuncture group and western medication group,with 70 cases in each group.The pestle needle group was treated with pestle needle poking Yāoyángguān-Bāzhèn(GV3-Bāzhèn)points.The electroacupuncture group was treated with conventional electroacupuncture,and the western medication group was treated with oral diclofenac sodium dual release enteric-coated capsules(Difene).The pestle needle group and the electroacupuncture group were treated once a day,and there was 1 day of rest after 6 days of treatment,and a course of treatment included 7 days,and a total of 3 courses of treatment were performed.The western medication group took 1 Difene capsule(75 mg)at a time,with once a day continuing for 21 days.Visual Analog Scale(VAS),Pain Rating Index(PRI)and Present Pain Intensity(PPI)were used to observe the improvement of pain before and after treatment,and the waist muscle tone was examined and the clinical efficacy was observed.Results:The post-treatment VAS,PRI,and PPI scores of the three groups were all lower than pretreatment,and the differences were statistically significant(all P<0.05).There were no statistically significant differences in VAS,PRI and PPI scores between pestle needle group and western medication group(all P>0.05).Meanwhile,they were all lower than the electroacupuncture group,and the differences were statistically significant(both P<0.05).After treatment,the waist muscle tone of the three groups was higher than that pre-treatment,and the differences were statistically significant(all P<0.05).After treatment,the waist muscle tone of the pestle needle group was higher than the electroacupuncture group,and the electroacupuncture group was higher than the western medication group,and the differences were statistically significant(both P<0.05).The total effective rate was 88.57%in the pestle needle group,80%in the electroacupuncture group,and 77.14%in the western medication group,and there were no statistically significant differences among the groups(P>0.05).Conclusions:Pestle needle poking GV3-Bāzhèn points can effectively relieve intractable lumbodynia after lumbar disc herniation surgery,decrease VAS,PRI,PPI scores and relieve waist muscle tone,and the effect was remarkable.展开更多
In the present paper we introduce a random iteration scheme for three random operators defined on a closed and convex subset of a uniformly convex Banach space and prove its convergence to a common fixed point of thre...In the present paper we introduce a random iteration scheme for three random operators defined on a closed and convex subset of a uniformly convex Banach space and prove its convergence to a common fixed point of three random operators. The result is also an extension of a known theorem in the corresponding non-random case.展开更多
L. Shapiro has presented and solved a problem of a class of random walks with absorbing points on plane lattice points .[1]He divided the all lattice points on line y=x(x>0) into two classes by modulo 2, and select...L. Shapiro has presented and solved a problem of a class of random walks with absorbing points on plane lattice points .[1]He divided the all lattice points on line y=x(x>0) into two classes by modulo 2, and selected one of the two classes to be the set of absorbing points. In this paper,we generalize the Shapiro problem:divide the all lattice points on line y = x(x>0) into k classes by modulo k,and select one class or more classes of the k classes to be the set of absorbing points. We solve the generalized problem by using the residue method and give an application of it to probability theory.展开更多
OBJECTIVE:To investigate the effectiveness of electroacupuncture at Jiaji acupoints(EX-B 2)plus moxibustion and intermediate frequency on postherpetic neuralgia(PHN).METHODS:A total of 140 outpatients who satisfied th...OBJECTIVE:To investigate the effectiveness of electroacupuncture at Jiaji acupoints(EX-B 2)plus moxibustion and intermediate frequency on postherpetic neuralgia(PHN).METHODS:A total of 140 outpatients who satisfied the inclusion criteria and volunteered for this treatment were randomly divided into treatment(n=70)and control(n=70)groups.Both groups received a localized lesion area and electroacupuncture treatment combined with moxibustion and intermediate frequency.The treatment group(TG)increased acupuncture at Jiaji acupoints(EX-B 2)and electroacupuncture.Pain and anxiety were assessed before and after 5,10,15,and 20 treatments by using visual pain simulation score(VAS)and Hamilton anxiety scale(HAMA),respectively.Clinical efficacy was also evaluated.RESULTS:The baseline between the two groups did not significantly differ(P>0.05).The VAS and HAMA scores of the two groups after treatment significantly decreased compared with those of various treatment stages(P>0.05).The HAMA score(P<0.01)of TG was lower than that of the control group(CG).The VAS score of TG was lower than that of CG in the 5th and 10th treatments(P<0.01).In the 15 th and 10 th scores,CG was also superior to TG(P<0.05).CONCLUSION:The combined treatment of electroacupuncture at Jiaji acupoints(EX-B 2),moxibustion,and intermediate frequency can relieve the pain and anxiety symptoms of PHN.The efficacy of the combined treatment was superior to traditional acupuncture.展开更多
OBJECTIVE: To evaluate the effect of heat stimulation via scar-producing moxibustion at the acupoints Zusanli(ST 36) and Feishu(BL 13) on the neutrophil-to-lymphocyte ratio(NLR) and quality of life in patients with no...OBJECTIVE: To evaluate the effect of heat stimulation via scar-producing moxibustion at the acupoints Zusanli(ST 36) and Feishu(BL 13) on the neutrophil-to-lymphocyte ratio(NLR) and quality of life in patients with non-small-cell lung cancer(NSCLC).METHODS: Seventy patients with NSCLC were randomly assigned into two groups: group A received scar-producing moxibustion at the acupoints Zusanli(ST 36) and Feishu(BL 13) every day for 6 weeks, while group B received no intervention(control group). Outcome measures were the NLR and the scores from the European Organization for Research and Treatment of Cancer Quality of Life Questionnaire(EORTC QLQ-C30). The NLR and the EORTC QLQ-C30 were assessed at baseline and at the end of 6 weeks.RESULTS: Five participants dropped out, leaving afinal total of 65 participants who completed the trial. Groups A and B had a similar mean NLR at baseline. After the treatment course, the NLR in group A was significantly lower than that in group B(P <0.001). Compared with group B, the EORTC QLQ-C30 scores in group A were significantly greater in terms of global health status or quality of life(P < 0.001) and function(P < 0.05), and significantly lower in terms of symptoms(P < 0.05).CONCLUSION: The present study suggests that performing scar-producing moxibustion by heat-stimulating the acupoints Zusanli(ST 36) and Feishu(BL13) effectively decreases the NLR and improves the quality of life in patients with NSCLC.展开更多
In complete metric spaces, the common fixed point theorems for sequences of φ-type contraction set-valued mappings are established, and the corresponding random com- mon fixed point theorems for set-valued mappings a...In complete metric spaces, the common fixed point theorems for sequences of φ-type contraction set-valued mappings are established, and the corresponding random com- mon fixed point theorems for set-valued mappings are also obtained.展开更多
For exploring the aftershock occurrence process of the 2008 Wenchuan strong earthquake, the spatio-temporal point pattern analysis method is employed to study the sequences of aflershocks with magnitude M≥4.0, M≥4.5...For exploring the aftershock occurrence process of the 2008 Wenchuan strong earthquake, the spatio-temporal point pattern analysis method is employed to study the sequences of aflershocks with magnitude M≥4.0, M≥4.5, and M≥5.0. It is found that these data exhibit the spatio-temporal clustering on a certain distance scale and on a certain time scale. In particular, the space-time interaction obviously strengthens when the distance is less than 60 km and the time is less than 260 h for the first two aftershock sequences; however, it becomes strong when the distance scale is less than 80 km and the time scale is less than 150 h for the last aftershock sequence. The completely spatial randomness analysis on the data regardless of time component shows that the spatial clustering of the aftershocks gradually strengthens on the condition that the distance is less than 60 km. The results are valuable for exploring the occurrence rules of the Wenchuan strong earthquake and for predicting the aftershocks.展开更多
A slope engineering system is a complex system, in which many uncertaintiesexist, including random uncertainties and fuzzy uncertainties. Traditionally, random uncertaintieswere often considered, while fuzzy uncertain...A slope engineering system is a complex system, in which many uncertaintiesexist, including random uncertainties and fuzzy uncertainties. Traditionally, random uncertaintieswere often considered, while fuzzy uncertainties were ignored. Therefore, fuzzy-random methodsshould he proposed. A fuzzy point estimate method was proposed by Dodagoudar, that is, consideringthe effect of fuzzy-random factors, the fuzzy-random limit state function of slopes is changed torandom interval limit state function by the lambda level cutting, then the moments of the functioncan be obtained by the Rosenblueth's method, and the stability state of slopes can be evaluated bysynthesizing a group of moments. But in Dodagoudar's method, Rosenblueth's state function iscomposed of only two kinds of combinations of parameters rather than 2~n kinds of combinations. So amodified fuzzy point estimate method is proposed by the authors, and it is used in a slopereliability analysis.展开更多
In this paper,using the fixed-point and direct methods,we prove the HyersUlam stability of the following m-Appolonius type functional equation：∑mi=1 f（z-xi）=mf（z-1/m2∑mi=1xi）-1/m∑1≤i〈j≤mf（xi＋xj）,where m ...In this paper,using the fixed-point and direct methods,we prove the HyersUlam stability of the following m-Appolonius type functional equation：∑mi=1 f（z-xi）=mf（z-1/m2∑mi=1xi）-1/m∑1≤i〈j≤mf（xi＋xj）,where m is a natural number greater than 1,in random normed spaces. 更多还原展开更多
文摘Isoperimetric type inequalities for integral geometric invariants of random lines in the Euclidean space are shown.Entropy inequalities of probability densities on the affine Grassmann manifold of lines are given.
基金supported by the Foundation of Education Ministry,Hubei Province,China(Q20122203)
文摘In this paper,we obtain some tripled common random fixed point and tripled random fixed point theorems with several generalized Lipschitz constants in such spaces.We consider the obtained assertions without the assumption of normality of cones.The presented results generalize some coupled common fixed point theorems in the existing literature.
基金Supported by Plan of Shanghai Commission of Science and Technology: No. 18401902400)Special Disease Construction Project of Shanghai Traditional Chinese Medicine: No. ZY(20182020)- FWTX-4020Characteristic Diagnosis and Treatment Technology Upgrade Project of TCM:No. ZY(2018-2020)-ZYJS-01
文摘Objective:To observe the differences of clinical efficacy of intractable lumbodynia after lumbar disc herniation surgery treated by pestle needling at Yāoyángguān Bāzhèn points,electroacupuncture and western medication.Methods:A total of 210 patients with intractable lumbodynia after lumbar disc herniation were randomly divided into pestle needle group,electroacupuncture group and western medication group,with 70 cases in each group.The pestle needle group was treated with pestle needle poking Yāoyángguān-Bāzhèn(GV3-Bāzhèn)points.The electroacupuncture group was treated with conventional electroacupuncture,and the western medication group was treated with oral diclofenac sodium dual release enteric-coated capsules(Difene).The pestle needle group and the electroacupuncture group were treated once a day,and there was 1 day of rest after 6 days of treatment,and a course of treatment included 7 days,and a total of 3 courses of treatment were performed.The western medication group took 1 Difene capsule(75 mg)at a time,with once a day continuing for 21 days.Visual Analog Scale(VAS),Pain Rating Index(PRI)and Present Pain Intensity(PPI)were used to observe the improvement of pain before and after treatment,and the waist muscle tone was examined and the clinical efficacy was observed.Results:The post-treatment VAS,PRI,and PPI scores of the three groups were all lower than pretreatment,and the differences were statistically significant(all P<0.05).There were no statistically significant differences in VAS,PRI and PPI scores between pestle needle group and western medication group(all P>0.05).Meanwhile,they were all lower than the electroacupuncture group,and the differences were statistically significant(both P<0.05).After treatment,the waist muscle tone of the three groups was higher than that pre-treatment,and the differences were statistically significant(all P<0.05).After treatment,the waist muscle tone of the pestle needle group was higher than the electroacupuncture group,and the electroacupuncture group was higher than the western medication group,and the differences were statistically significant(both P<0.05).The total effective rate was 88.57%in the pestle needle group,80%in the electroacupuncture group,and 77.14%in the western medication group,and there were no statistically significant differences among the groups(P>0.05).Conclusions:Pestle needle poking GV3-Bāzhèn points can effectively relieve intractable lumbodynia after lumbar disc herniation surgery,decrease VAS,PRI,PPI scores and relieve waist muscle tone,and the effect was remarkable.
文摘In the present paper we introduce a random iteration scheme for three random operators defined on a closed and convex subset of a uniformly convex Banach space and prove its convergence to a common fixed point of three random operators. The result is also an extension of a known theorem in the corresponding non-random case.
文摘L. Shapiro has presented and solved a problem of a class of random walks with absorbing points on plane lattice points .[1]He divided the all lattice points on line y=x(x>0) into two classes by modulo 2, and selected one of the two classes to be the set of absorbing points. In this paper,we generalize the Shapiro problem:divide the all lattice points on line y = x(x>0) into k classes by modulo k,and select one class or more classes of the k classes to be the set of absorbing points. We solve the generalized problem by using the residue method and give an application of it to probability theory.
文摘OBJECTIVE:To investigate the effectiveness of electroacupuncture at Jiaji acupoints(EX-B 2)plus moxibustion and intermediate frequency on postherpetic neuralgia(PHN).METHODS:A total of 140 outpatients who satisfied the inclusion criteria and volunteered for this treatment were randomly divided into treatment(n=70)and control(n=70)groups.Both groups received a localized lesion area and electroacupuncture treatment combined with moxibustion and intermediate frequency.The treatment group(TG)increased acupuncture at Jiaji acupoints(EX-B 2)and electroacupuncture.Pain and anxiety were assessed before and after 5,10,15,and 20 treatments by using visual pain simulation score(VAS)and Hamilton anxiety scale(HAMA),respectively.Clinical efficacy was also evaluated.RESULTS:The baseline between the two groups did not significantly differ(P>0.05).The VAS and HAMA scores of the two groups after treatment significantly decreased compared with those of various treatment stages(P>0.05).The HAMA score(P<0.01)of TG was lower than that of the control group(CG).The VAS score of TG was lower than that of CG in the 5th and 10th treatments(P<0.01).In the 15 th and 10 th scores,CG was also superior to TG(P<0.05).CONCLUSION:The combined treatment of electroacupuncture at Jiaji acupoints(EX-B 2),moxibustion,and intermediate frequency can relieve the pain and anxiety symptoms of PHN.The efficacy of the combined treatment was superior to traditional acupuncture.
基金Supported by the National Nature Science Foundation of China(No.81273848)
文摘OBJECTIVE: To evaluate the effect of heat stimulation via scar-producing moxibustion at the acupoints Zusanli(ST 36) and Feishu(BL 13) on the neutrophil-to-lymphocyte ratio(NLR) and quality of life in patients with non-small-cell lung cancer(NSCLC).METHODS: Seventy patients with NSCLC were randomly assigned into two groups: group A received scar-producing moxibustion at the acupoints Zusanli(ST 36) and Feishu(BL 13) every day for 6 weeks, while group B received no intervention(control group). Outcome measures were the NLR and the scores from the European Organization for Research and Treatment of Cancer Quality of Life Questionnaire(EORTC QLQ-C30). The NLR and the EORTC QLQ-C30 were assessed at baseline and at the end of 6 weeks.RESULTS: Five participants dropped out, leaving afinal total of 65 participants who completed the trial. Groups A and B had a similar mean NLR at baseline. After the treatment course, the NLR in group A was significantly lower than that in group B(P <0.001). Compared with group B, the EORTC QLQ-C30 scores in group A were significantly greater in terms of global health status or quality of life(P < 0.001) and function(P < 0.05), and significantly lower in terms of symptoms(P < 0.05).CONCLUSION: The present study suggests that performing scar-producing moxibustion by heat-stimulating the acupoints Zusanli(ST 36) and Feishu(BL13) effectively decreases the NLR and improves the quality of life in patients with NSCLC.
基金Foundation item： Supported by the Science Foundation from the Ministry of Education of Jiangsu Province（04KJD110168, 06KJBll0107）
文摘In complete metric spaces, the common fixed point theorems for sequences of φ-type contraction set-valued mappings are established, and the corresponding random com- mon fixed point theorems for set-valued mappings are also obtained.
基金supported by the Key Project of Chinese National Programs for Fun-damental Research and Development (973 program) (2008CB425704)
文摘For exploring the aftershock occurrence process of the 2008 Wenchuan strong earthquake, the spatio-temporal point pattern analysis method is employed to study the sequences of aflershocks with magnitude M≥4.0, M≥4.5, and M≥5.0. It is found that these data exhibit the spatio-temporal clustering on a certain distance scale and on a certain time scale. In particular, the space-time interaction obviously strengthens when the distance is less than 60 km and the time is less than 260 h for the first two aftershock sequences; however, it becomes strong when the distance scale is less than 80 km and the time scale is less than 150 h for the last aftershock sequence. The completely spatial randomness analysis on the data regardless of time component shows that the spatial clustering of the aftershocks gradually strengthens on the condition that the distance is less than 60 km. The results are valuable for exploring the occurrence rules of the Wenchuan strong earthquake and for predicting the aftershocks.
基金This work was financially supported by the "10.5"research project (No.2001BA609A-08).
文摘A slope engineering system is a complex system, in which many uncertaintiesexist, including random uncertainties and fuzzy uncertainties. Traditionally, random uncertaintieswere often considered, while fuzzy uncertainties were ignored. Therefore, fuzzy-random methodsshould he proposed. A fuzzy point estimate method was proposed by Dodagoudar, that is, consideringthe effect of fuzzy-random factors, the fuzzy-random limit state function of slopes is changed torandom interval limit state function by the lambda level cutting, then the moments of the functioncan be obtained by the Rosenblueth's method, and the stability state of slopes can be evaluated bysynthesizing a group of moments. But in Dodagoudar's method, Rosenblueth's state function iscomposed of only two kinds of combinations of parameters rather than 2~n kinds of combinations. So amodified fuzzy point estimate method is proposed by the authors, and it is used in a slopereliability analysis.
文摘In this paper,using the fixed-point and direct methods,we prove the HyersUlam stability of the following m-Appolonius type functional equation：∑mi=1 f（z-xi）=mf（z-1/m2∑mi=1xi）-1/m∑1≤i〈j≤mf（xi＋xj）,where m is a natural number greater than 1,in random normed spaces. 更多还原
