BACKGROUND Functional gastrointestinal disorders(FGIDs)are common gastrointestinal conditions that significantly impair patient quality of life.Current clinical treatment methods are relatively limited,making the sear...BACKGROUND Functional gastrointestinal disorders(FGIDs)are common gastrointestinal conditions that significantly impair patient quality of life.Current clinical treatment methods are relatively limited,making the search for more effective therapeutic strategies critically important.Latent myofascial trigger points(MTrPs)injection,as an emerging minimally invasive treatment method,has shown potential in alleviating muscle pain and improving function,but its application in FGIDs remains insufficiently validated.AIM To assess improvements in gastrointestinal symptom severity,quality of life indices,and treatment-related adverse events between the two therapeutic approaches.METHODS This single-blind randomized controlled study recruited 60 FGIDs patients from Qilu Hospital of Shandong University,randomly divided into an injection group(TI group)and an oral medication group(PO group)at a 1:1 ratio.The TI group received abdominal wall latent MTrPs injection therapy,while the PO group received oral symptomatic medication treatment.Primary outcome measures were gastrointestinal symptom severity scores(Gastrointestinal Symptom Rating Scale,Irritable Bowel Syndrome Severity Scoring System scales)at 2 weeks and 4 weeks after treatment completion.Secondary outcome measures included Gastrointestinal Quality of Life Index scores.Both groups underwent rigorous follow-up and assessment.RESULTS The TI group is anticipated to significantly outperform the PO group in gastrointestinal symptom relief and quality of life improvement.TI group patients are expected to show a notable decrease in symptom scores,increased quality of life index,and higher clinical effectiveness rate.Additionally,the TI group is projected to have a low adverse event rate and good safety profile.CONCLUSION Latent MTrPs injection therapy may represent an effective and safe new method for treating FGIDs.Compared to traditional oral medication treatment,this method demonstrates significant advantages in improving patient symptoms and quality of life.展开更多
Let c be a nonzero constant and f(z) be a transcendental meromorphic function of finite order. Under some conditions, we study the relationships between the exponent of convergence of fixed points of f(z), its shift f...Let c be a nonzero constant and f(z) be a transcendental meromorphic function of finite order. Under some conditions, we study the relationships between the exponent of convergence of fixed points of f(z), its shift f(z +c) and forward differences △c^n f(z), n ∈ N^+.展开更多
Objective:To investigate the clinical effect of electroacupuncture combined with biofeedback on functional anorectal pain.Methods:Sixty patients diagnosed functional anorectal pain were divided into three groups by ra...Objective:To investigate the clinical effect of electroacupuncture combined with biofeedback on functional anorectal pain.Methods:Sixty patients diagnosed functional anorectal pain were divided into three groups by random number table,namely electroacupuncture group,biofeedback group,and combination group,with 20 patients in each.In the electroacupuncture group,the electroacupuncture at Dong’s points Sānqí(三其穴),including Qímén(其门),Qíjiǎo(其角),and Qízhéng(其正),and Línggǔ(灵骨),Dàbái(大白),Chángmén(肠门)of both sides was given;in the Biofeedback group,the biofeedback therapy was adopted;in the combination group,the electroacupuncture and biofeedback therapy were used.All patients were treated once a day,30 min each time,10 consecutive treatments as one treatment course,and the therapeutic effect was evaluated after 3 treatment courses.The observation indexes after the intervention:Visual analogue Scale(VAS)score,SF-36 Quality of Life Scale score,Self-rating Anxiety Scale(SAS)score,Self-rating Depression Scale(SDS)score,Anorectal manometry,Clinical efficacy,and patients’adverse reactions.Results:After treatment,the pain of patients in the three groups was alleviated than that before treatment,VAS score,SAS score,SDS score,and anorectal pressure were decreased(P<0.05),and SF-36 Quality of Life Scale score was increased(P<0.05).After treatment,in the combination group,the VAS scores,SAS scores,SDS scores,and Anal-rectal pressure scores were lower than those in the other two groups(P<0.05),and SF-36 Quality of Life Scale scores were higher than those in the other two groups(P<0.05),the total effective rate was 80.0%(16/20),which was significantly higher than that of the electroacupuncture group(55.0%,11/20)and the biofeedback group(40.0%,8/20)(both P<0.05).No adverse reactions occurred in all three groups.Conclusion:Electroacupuncture at Dong’s points combined with biofeedback therapy has a significant effect on functional anorectal pain.The combined application of electroacupuncture and biofeedback therapy has a synergic action,and the analgesic effect is better than that of only using electroacupuncture or biofeedback therapy.展开更多
A Coupling Magneto-Electro-Elastic(MEE)Node-based Smoothed Radial Point Interpolation Method(CM-NS-RPIM)was proposed to solve the free vibration and transient responses of Functionally Graded Magneto-Electro-Elastic(F...A Coupling Magneto-Electro-Elastic(MEE)Node-based Smoothed Radial Point Interpolation Method(CM-NS-RPIM)was proposed to solve the free vibration and transient responses of Functionally Graded Magneto-Electro-Elastic(FGMEE)structures.By introducing the modified Newmark method,the displacement,electrical potential and magnetic potential of the structures under transient mechanical loading were obtained.Based on G space theory and the weakened weak(W2)formulation,the equations of the multi-physics coupling problems were derived.Using triangular background elements,the free vibration and transient responses of three numerical examples were studied.Results proved that CM-NS-RPIM performed better than the standard FEM by reducing the overly-stiff of structures.Moreover,CM-NS-RPIM could reduce the number of nodes while guaranteeing the accuracy.Besides,triangular elements could be generated automatically even for complex geometries.Therefore,the effectiveness and validity of CM-NS-RPIM were demonstrated,which were valuable for the design of intelligence devices,such as energy harvesters and sensors.展开更多
In this paper, we have investigated second Hankel determinants and FeketeSzeg? inequalities for some subclasses of Bi-univalent functions with respect to symmetric and Conjugate points which are subordinate to a shell...In this paper, we have investigated second Hankel determinants and FeketeSzeg? inequalities for some subclasses of Bi-univalent functions with respect to symmetric and Conjugate points which are subordinate to a shell shaped region in the open unit disc ?.展开更多
Let f be a transcendental meromorphic function and △f（z） = f（z ＋ 1） -- f（z） A number of results are proved concerning the existences of zeros and fixed points of Af（z） and △f（z）/f（z） when f（z） is of o...Let f be a transcendental meromorphic function and △f（z） = f（z ＋ 1） -- f（z） A number of results are proved concerning the existences of zeros and fixed points of Af（z） and △f（z）/f（z） when f（z） is of order σ（f）=1. Examples show that some of the results are sharp.展开更多
The paper develops and examines the complete solutions for the elastic field induced by the point load vector in a general functionally graded material(FGM)model with transverse isotropy.The FGMs are approximated with...The paper develops and examines the complete solutions for the elastic field induced by the point load vector in a general functionally graded material(FGM)model with transverse isotropy.The FGMs are approximated with n-layered materials.Each of the n-layered materials is homogeneous and transversely isotropic.The complete solutions of the displacement and stress fields are explicitly expressed in the forms of fifteen classical Hankel transform integrals with ten kernel functions.The ten kernel functions are explicitly expressed in the forms of backward transfer matrices and have clear mathematical properties.The singular terms of the complete solutions are analytically isolated and expressed in exact closed forms in terms of elementary harmonic functions.Numerical results show that the computation of the complete solutions can be achieved with high accuracy and efficiency.展开更多
A point spread function（PSF） for the blurring component in positron emission tomography（PET） is studied. The PSF matrix is derived from the single photon incidence response function. A statistical iterative recons...A point spread function（PSF） for the blurring component in positron emission tomography（PET） is studied. The PSF matrix is derived from the single photon incidence response function. A statistical iterative reconstruction（IR） method based on the system matrix containing the PSF is developed. More specifically, the gamma photon incidence upon a crystal array is simulated by Monte Carlo（MC） simulation, and then the single photon incidence response functions are calculated. Subsequently, the single photon incidence response functions are used to compute the coincidence blurring factor according to the physical process of PET coincidence detection. Through weighting the ordinary system matrix response by the coincidence blurring factors, the IR system matrix containing the PSF is finally established. By using this system matrix, the image is reconstructed by an ordered subset expectation maximization（OSEM） algorithm. The experimental results show that the proposed system matrix can substantially improve the image radial resolution, contrast,and noise property. Furthermore, the simulated single gamma-ray incidence response function depends only on the crystal configuration, so the method could be extended to any PET scanner with the same detector crystal configuration.展开更多
Through the paper, a general solution of a mixed type functional equation in fuzzy Banach space is obtained and by using the fixed point method a generalized Hyers-Ulam-Rassias stability of the mixed type functional e...Through the paper, a general solution of a mixed type functional equation in fuzzy Banach space is obtained and by using the fixed point method a generalized Hyers-Ulam-Rassias stability of the mixed type functional equation in fuzzy Banach space is proved.展开更多
Some common fixed point results for mappings satisfying a quasi-contractive condition which involves altering distance functions are obtained in partially ordered complete cone metric spaces. A sufficient condition fo...Some common fixed point results for mappings satisfying a quasi-contractive condition which involves altering distance functions are obtained in partially ordered complete cone metric spaces. A sufficient condition for the uniqueness of common fixed point is proved. Also, an example is given to support our results.展开更多
Hyper-and multi-spectral image fusion is an important technology to produce hyper-spectral and hyper-resolution images,which always depends on the spectral response function andthe point spread function.However,few wo...Hyper-and multi-spectral image fusion is an important technology to produce hyper-spectral and hyper-resolution images,which always depends on the spectral response function andthe point spread function.However,few works have been payed on the estimation of the two degra-dation functions.To learn the two functions from image pairs to be fused,we propose a Dirichletnetwork,where both functions are properly constrained.Specifically,the spatial response function isconstrained with positivity,while the Dirichlet distribution along with a total variation is imposedon the point spread function.To the best of our knowledge,the neural network and the Dirichlet regularization are exclusively investigated,for the first time,to estimate the degradation functions.Both image degradation and fusion experiments demonstrate the effectiveness and superiority of theproposed Dirichlet network.展开更多
In this article, we consider the singular points of meromorphic functions in the unit disk. We prove the second fundamental theorem for the Ahlfors-Shimizu＇s characteristic in the unit disk in terms of Nevanlinna the...In this article, we consider the singular points of meromorphic functions in the unit disk. We prove the second fundamental theorem for the Ahlfors-Shimizu＇s characteristic in the unit disk in terms of Nevanlinna theory in the angular domains, and obtain the existence of T-points and Hayman T-points dealing with small functions as target.展开更多
Acupoint combination is a method used for acupoint treatment of patients. Traditionally, acupoints are matched along the meridian distribution, which is a common rule in clinical practice, but the underlying mechanism...Acupoint combination is a method used for acupoint treatment of patients. Traditionally, acupoints are matched along the meridian distribution, which is a common rule in clinical practice, but the underlying mechanism remains unclear. Cerebral scans with functional magnetic resonance imaging （fMRI） have been used in the study of acupuncture and acupoint specifically. In this study, fMRI was used to detect the activation of the brain areas under different acupoints, matched along different meridians, to elucidate the acupoint combination via a modern medical approach. Forty healthy volunteers were randomly divided into the following groups： Waiguan point （SJ 5）, Waiguan （SJ 5） ＋ Zhigou （SJ 6） （2 acupoints come from the same meridian）, Waiguan （SJ 5） ＋ Neiguan （PC 6） （2 acupoints come from 2 meridians with the relationship of interior-exterior）, Waiguan （SJ 5） ＋ Yanglingquan （GB 34） （2 acupoints come from 2 meridians with the same name-Shaoyang Meridian）, and sham point groups （needling in different points on the right hand）. A real-time cerebral fMRI scan was simultaneously performed. The cerebral activation rate, and the number and strength of different regions of interest were compared among the groups. The fMRI cerebral imaging confirmed that there were some differences in the activation of cerebral areas by the needlings in SJ 5, and in combination with other acupoints. Needling at SJ 5 alone greatly activated the right cerebellum, while needling at both SJ 5 and different co-needling points activated different cerebral functional areas.展开更多
Reusing test cases from existing test case library is quite common in the software testing field. Testing practice tells us that there is a strong relationship between the granularity of a function unit under testing ...Reusing test cases from existing test case library is quite common in the software testing field. Testing practice tells us that there is a strong relationship between the granularity of a function unit under testing and that of the test case. A function unit with small granularity usually results in the test cases with the same small granularity. Therefore a test case defined as the function point,i. e.,the smallest size function unit,was provided for the first time.Though test cases with smaller granularity usually have better reusability,the cost of accurately reusing and integrating such test cases is also higher. In order to balance the test case reusability and the cost of test case reuse,a novel test case reuse model based on the function point was proposed in this paper. In this model,a reusable test case for specification-based testing was defined and some reuse strategies and three formal reuse methods were given. Finally,the complete automatic software process was realized by a reusing generation tool. The new method has improved reuse accuracy,while greatly enhances the software productivity.展开更多
In this paper, we present some fixed point theorems of iterated function systems consisting of α-ψ-contractive type mappings in Fractal space constituted by the compact subset of metric space and iterated function s...In this paper, we present some fixed point theorems of iterated function systems consisting of α-ψ-contractive type mappings in Fractal space constituted by the compact subset of metric space and iterated function systems consisting of Banach contractive mappings in Fractal space constituted by the compact subset of generalized metric space, which is Mso extensively applied in topological dynamic system.展开更多
Let fμ(z)=z·ep(z)+μ with p(z) being real coefficient polynomial and it's leading coefficient be positive, μ∈R+, when p(z) and μ satisfy two certain conditions, buried point set of fμ(z) contains unbound...Let fμ(z)=z·ep(z)+μ with p(z) being real coefficient polynomial and it's leading coefficient be positive, μ∈R+, when p(z) and μ satisfy two certain conditions, buried point set of fμ(z) contains unbounded positive real interval.展开更多
In this article, by using a fixed point theorem, we study following fourth-order three-point BVP:<br /> <img src="Edit_1ba3ab24-dbef-4a90-8fe1-dc466461e2e3.bmp" alt="" /> <span style...In this article, by using a fixed point theorem, we study following fourth-order three-point BVP:<br /> <img src="Edit_1ba3ab24-dbef-4a90-8fe1-dc466461e2e3.bmp" alt="" /> <span style="white-space:normal;">where <span style="white-space:nowrap;">f <span style="white-space:nowrap;"><span style="white-space:nowrap;">∈ C([0,1]×[0,+∞),[0,+∞)) <span style="white-space:nowrap;">α <span style="white-space:nowrap;"><span style="white-space:nowrap;">∈ [0,6) and <img src="Edit_35fdded4-50be-48af-b9e0-1e97c719aeba.bmp" alt="" /> . The main point to emphasize is that although the corresponding Green’s function is changing signs, by applying the fixed point theorem, we can still obtain at least two positive solutions and degreased solutions under certain suitable conditions.展开更多
In this paper, the T points of meromorphic functions are defined and existence of the T points is showed in the Unit disk, we also prove T point must be J point.
Non-line-of-sight(NLOS)imaging has emerged as a prominent technique for reconstructing obscured objects from images that undergo multiple diffuse reflections.This imaging method has garnered significant attention in d...Non-line-of-sight(NLOS)imaging has emerged as a prominent technique for reconstructing obscured objects from images that undergo multiple diffuse reflections.This imaging method has garnered significant attention in diverse domains,including remote sensing,rescue operations,and intelligent driving,due to its wide-ranging potential applications.Nevertheless,accurately modeling the incident light direction,which carries energy and is captured by the detector amidst random diffuse reflection directions,poses a considerable challenge.This challenge hinders the acquisition of precise forward and inverse physical models for NLOS imaging,which are crucial for achieving high-quality reconstructions.In this study,we propose a point spread function(PSF)model for the NLOS imaging system utilizing ray tracing with random angles.Furthermore,we introduce a reconstruction method,termed the physics-constrained inverse network(PCIN),which establishes an accurate PSF model and inverse physical model by leveraging the interplay between PSF constraints and the optimization of a convolutional neural network.The PCIN approach initializes the parameters randomly,guided by the constraints of the forward PSF model,thereby obviating the need for extensive training data sets,as required by traditional deep-learning methods.Through alternating iteration and gradient descent algorithms,we iteratively optimize the diffuse reflection angles in the PSF model and the neural network parameters.The results demonstrate that PCIN achieves efficient data utilization by not necessitating a large number of actual ground data groups.Moreover,the experimental findings confirm that the proposed method effectively restores the hidden object features with high accuracy.展开更多
文摘BACKGROUND Functional gastrointestinal disorders(FGIDs)are common gastrointestinal conditions that significantly impair patient quality of life.Current clinical treatment methods are relatively limited,making the search for more effective therapeutic strategies critically important.Latent myofascial trigger points(MTrPs)injection,as an emerging minimally invasive treatment method,has shown potential in alleviating muscle pain and improving function,but its application in FGIDs remains insufficiently validated.AIM To assess improvements in gastrointestinal symptom severity,quality of life indices,and treatment-related adverse events between the two therapeutic approaches.METHODS This single-blind randomized controlled study recruited 60 FGIDs patients from Qilu Hospital of Shandong University,randomly divided into an injection group(TI group)and an oral medication group(PO group)at a 1:1 ratio.The TI group received abdominal wall latent MTrPs injection therapy,while the PO group received oral symptomatic medication treatment.Primary outcome measures were gastrointestinal symptom severity scores(Gastrointestinal Symptom Rating Scale,Irritable Bowel Syndrome Severity Scoring System scales)at 2 weeks and 4 weeks after treatment completion.Secondary outcome measures included Gastrointestinal Quality of Life Index scores.Both groups underwent rigorous follow-up and assessment.RESULTS The TI group is anticipated to significantly outperform the PO group in gastrointestinal symptom relief and quality of life improvement.TI group patients are expected to show a notable decrease in symptom scores,increased quality of life index,and higher clinical effectiveness rate.Additionally,the TI group is projected to have a low adverse event rate and good safety profile.CONCLUSION Latent MTrPs injection therapy may represent an effective and safe new method for treating FGIDs.Compared to traditional oral medication treatment,this method demonstrates significant advantages in improving patient symptoms and quality of life.
基金supported by the Natural Science Foundation of Guangdong Province in China(2016A030310106)the National Natural Science Foundation of China(11801110,11771090,11761035,11871260)the Foundation of Guangzhou Civil Aviation College(17X0419)
文摘Let c be a nonzero constant and f(z) be a transcendental meromorphic function of finite order. Under some conditions, we study the relationships between the exponent of convergence of fixed points of f(z), its shift f(z +c) and forward differences △c^n f(z), n ∈ N^+.
基金Supported by Innovation and Application Project,Chongqing Bureau of Science and Technology:cstc2019jscx-msxmX02292019"Xinglin Scholar"Project of Chongqing TCM Hospital affiliated to Chengdu University of Traditional Chinese Medicine:YYZX2019080Chongqing famous senior TCM expert Xu Yue inheritance studio。
文摘Objective:To investigate the clinical effect of electroacupuncture combined with biofeedback on functional anorectal pain.Methods:Sixty patients diagnosed functional anorectal pain were divided into three groups by random number table,namely electroacupuncture group,biofeedback group,and combination group,with 20 patients in each.In the electroacupuncture group,the electroacupuncture at Dong’s points Sānqí(三其穴),including Qímén(其门),Qíjiǎo(其角),and Qízhéng(其正),and Línggǔ(灵骨),Dàbái(大白),Chángmén(肠门)of both sides was given;in the Biofeedback group,the biofeedback therapy was adopted;in the combination group,the electroacupuncture and biofeedback therapy were used.All patients were treated once a day,30 min each time,10 consecutive treatments as one treatment course,and the therapeutic effect was evaluated after 3 treatment courses.The observation indexes after the intervention:Visual analogue Scale(VAS)score,SF-36 Quality of Life Scale score,Self-rating Anxiety Scale(SAS)score,Self-rating Depression Scale(SDS)score,Anorectal manometry,Clinical efficacy,and patients’adverse reactions.Results:After treatment,the pain of patients in the three groups was alleviated than that before treatment,VAS score,SAS score,SDS score,and anorectal pressure were decreased(P<0.05),and SF-36 Quality of Life Scale score was increased(P<0.05).After treatment,in the combination group,the VAS scores,SAS scores,SDS scores,and Anal-rectal pressure scores were lower than those in the other two groups(P<0.05),and SF-36 Quality of Life Scale scores were higher than those in the other two groups(P<0.05),the total effective rate was 80.0%(16/20),which was significantly higher than that of the electroacupuncture group(55.0%,11/20)and the biofeedback group(40.0%,8/20)(both P<0.05).No adverse reactions occurred in all three groups.Conclusion:Electroacupuncture at Dong’s points combined with biofeedback therapy has a significant effect on functional anorectal pain.The combined application of electroacupuncture and biofeedback therapy has a synergic action,and the analgesic effect is better than that of only using electroacupuncture or biofeedback therapy.
基金co-supported by the National Key R&D Program of China(Nos.2018YFF01012401-05)the National Natural Science Foundation of China(No.51975243)+2 种基金Jilin Provincial Department of Education(No.JJKH20180084KJ),Chinathe Fundamental Research Funds for the Central Universities and Jilin Provincial Department of Science&Technology Fund Project,China(Nos.20170101043JC and 20180520072JH)Graduate Innovation Fund of Jilin University,China(No.101832018C184).
文摘A Coupling Magneto-Electro-Elastic(MEE)Node-based Smoothed Radial Point Interpolation Method(CM-NS-RPIM)was proposed to solve the free vibration and transient responses of Functionally Graded Magneto-Electro-Elastic(FGMEE)structures.By introducing the modified Newmark method,the displacement,electrical potential and magnetic potential of the structures under transient mechanical loading were obtained.Based on G space theory and the weakened weak(W2)formulation,the equations of the multi-physics coupling problems were derived.Using triangular background elements,the free vibration and transient responses of three numerical examples were studied.Results proved that CM-NS-RPIM performed better than the standard FEM by reducing the overly-stiff of structures.Moreover,CM-NS-RPIM could reduce the number of nodes while guaranteeing the accuracy.Besides,triangular elements could be generated automatically even for complex geometries.Therefore,the effectiveness and validity of CM-NS-RPIM were demonstrated,which were valuable for the design of intelligence devices,such as energy harvesters and sensors.
文摘In this paper, we have investigated second Hankel determinants and FeketeSzeg? inequalities for some subclasses of Bi-univalent functions with respect to symmetric and Conjugate points which are subordinate to a shell shaped region in the open unit disc ?.
基金supported by the NSF of Shandong Province, China (ZR2010AM030)the NNSF of China (11171013 & 11041005)
文摘Let f be a transcendental meromorphic function and △f（z） = f（z ＋ 1） -- f（z） A number of results are proved concerning the existences of zeros and fixed points of Af（z） and △f（z）/f（z） when f（z） is of order σ（f）=1. Examples show that some of the results are sharp.
基金Project supported by the National Natural Science Foundation of China(No.42207182)the Research Grants Council of the Hong Kong Special Administrative Region Government of China(Nos.HKU 17207518 and R5037-18)。
文摘The paper develops and examines the complete solutions for the elastic field induced by the point load vector in a general functionally graded material(FGM)model with transverse isotropy.The FGMs are approximated with n-layered materials.Each of the n-layered materials is homogeneous and transversely isotropic.The complete solutions of the displacement and stress fields are explicitly expressed in the forms of fifteen classical Hankel transform integrals with ten kernel functions.The ten kernel functions are explicitly expressed in the forms of backward transfer matrices and have clear mathematical properties.The singular terms of the complete solutions are analytically isolated and expressed in exact closed forms in terms of elementary harmonic functions.Numerical results show that the computation of the complete solutions can be achieved with high accuracy and efficiency.
基金Project supported by the National Natural Science Foundation of China(Grant Nos.Y4811H805C and 81101175)
文摘A point spread function（PSF） for the blurring component in positron emission tomography（PET） is studied. The PSF matrix is derived from the single photon incidence response function. A statistical iterative reconstruction（IR） method based on the system matrix containing the PSF is developed. More specifically, the gamma photon incidence upon a crystal array is simulated by Monte Carlo（MC） simulation, and then the single photon incidence response functions are calculated. Subsequently, the single photon incidence response functions are used to compute the coincidence blurring factor according to the physical process of PET coincidence detection. Through weighting the ordinary system matrix response by the coincidence blurring factors, the IR system matrix containing the PSF is finally established. By using this system matrix, the image is reconstructed by an ordered subset expectation maximization（OSEM） algorithm. The experimental results show that the proposed system matrix can substantially improve the image radial resolution, contrast,and noise property. Furthermore, the simulated single gamma-ray incidence response function depends only on the crystal configuration, so the method could be extended to any PET scanner with the same detector crystal configuration.
文摘Through the paper, a general solution of a mixed type functional equation in fuzzy Banach space is obtained and by using the fixed point method a generalized Hyers-Ulam-Rassias stability of the mixed type functional equation in fuzzy Banach space is proved.
基金Supported by the National Natural Science Foundation of China（11271293）
文摘Some common fixed point results for mappings satisfying a quasi-contractive condition which involves altering distance functions are obtained in partially ordered complete cone metric spaces. A sufficient condition for the uniqueness of common fixed point is proved. Also, an example is given to support our results.
基金the Postdoctoral ScienceFoundation of China(No.2023M730156)the NationalNatural Foundation of China(No.62301012).
文摘Hyper-and multi-spectral image fusion is an important technology to produce hyper-spectral and hyper-resolution images,which always depends on the spectral response function andthe point spread function.However,few works have been payed on the estimation of the two degra-dation functions.To learn the two functions from image pairs to be fused,we propose a Dirichletnetwork,where both functions are properly constrained.Specifically,the spatial response function isconstrained with positivity,while the Dirichlet distribution along with a total variation is imposedon the point spread function.To the best of our knowledge,the neural network and the Dirichlet regularization are exclusively investigated,for the first time,to estimate the degradation functions.Both image degradation and fusion experiments demonstrate the effectiveness and superiority of theproposed Dirichlet network.
文摘In this article, we consider the singular points of meromorphic functions in the unit disk. We prove the second fundamental theorem for the Ahlfors-Shimizu＇s characteristic in the unit disk in terms of Nevanlinna theory in the angular domains, and obtain the existence of T-points and Hayman T-points dealing with small functions as target.
基金the National 973 Program of China, No. 2006CB504505the National Nature Science Foundation of China, No. 90709027
文摘Acupoint combination is a method used for acupoint treatment of patients. Traditionally, acupoints are matched along the meridian distribution, which is a common rule in clinical practice, but the underlying mechanism remains unclear. Cerebral scans with functional magnetic resonance imaging （fMRI） have been used in the study of acupuncture and acupoint specifically. In this study, fMRI was used to detect the activation of the brain areas under different acupoints, matched along different meridians, to elucidate the acupoint combination via a modern medical approach. Forty healthy volunteers were randomly divided into the following groups： Waiguan point （SJ 5）, Waiguan （SJ 5） ＋ Zhigou （SJ 6） （2 acupoints come from the same meridian）, Waiguan （SJ 5） ＋ Neiguan （PC 6） （2 acupoints come from 2 meridians with the relationship of interior-exterior）, Waiguan （SJ 5） ＋ Yanglingquan （GB 34） （2 acupoints come from 2 meridians with the same name-Shaoyang Meridian）, and sham point groups （needling in different points on the right hand）. A real-time cerebral fMRI scan was simultaneously performed. The cerebral activation rate, and the number and strength of different regions of interest were compared among the groups. The fMRI cerebral imaging confirmed that there were some differences in the activation of cerebral areas by the needlings in SJ 5, and in combination with other acupoints. Needling at SJ 5 alone greatly activated the right cerebellum, while needling at both SJ 5 and different co-needling points activated different cerebral functional areas.
基金National Natural Science Foundation of China(No.61262010)
文摘Reusing test cases from existing test case library is quite common in the software testing field. Testing practice tells us that there is a strong relationship between the granularity of a function unit under testing and that of the test case. A function unit with small granularity usually results in the test cases with the same small granularity. Therefore a test case defined as the function point,i. e.,the smallest size function unit,was provided for the first time.Though test cases with smaller granularity usually have better reusability,the cost of accurately reusing and integrating such test cases is also higher. In order to balance the test case reusability and the cost of test case reuse,a novel test case reuse model based on the function point was proposed in this paper. In this model,a reusable test case for specification-based testing was defined and some reuse strategies and three formal reuse methods were given. Finally,the complete automatic software process was realized by a reusing generation tool. The new method has improved reuse accuracy,while greatly enhances the software productivity.
基金The NSF(11271150)of ChinaChina Government Scholarship
文摘In this paper, we present some fixed point theorems of iterated function systems consisting of α-ψ-contractive type mappings in Fractal space constituted by the compact subset of metric space and iterated function systems consisting of Banach contractive mappings in Fractal space constituted by the compact subset of generalized metric space, which is Mso extensively applied in topological dynamic system.
文摘Let fμ(z)=z·ep(z)+μ with p(z) being real coefficient polynomial and it's leading coefficient be positive, μ∈R+, when p(z) and μ satisfy two certain conditions, buried point set of fμ(z) contains unbounded positive real interval.
文摘In this article, by using a fixed point theorem, we study following fourth-order three-point BVP:<br /> <img src="Edit_1ba3ab24-dbef-4a90-8fe1-dc466461e2e3.bmp" alt="" /> <span style="white-space:normal;">where <span style="white-space:nowrap;">f <span style="white-space:nowrap;"><span style="white-space:nowrap;">∈ C([0,1]×[0,+∞),[0,+∞)) <span style="white-space:nowrap;">α <span style="white-space:nowrap;"><span style="white-space:nowrap;">∈ [0,6) and <img src="Edit_35fdded4-50be-48af-b9e0-1e97c719aeba.bmp" alt="" /> . The main point to emphasize is that although the corresponding Green’s function is changing signs, by applying the fixed point theorem, we can still obtain at least two positive solutions and degreased solutions under certain suitable conditions.
文摘In this paper, the T points of meromorphic functions are defined and existence of the T points is showed in the Unit disk, we also prove T point must be J point.
基金supported by the Instrument Developing Project of the Chinese Academy of Sciences (Grant No.YJKYYQ20190044)the National Key Research and Development Program of China (Grant No.2022YFB3903100)+1 种基金the High-level introduction of talent research start-up fund of Hefei Normal University in 2020 (Grant No.2020rcjj34)the HFIPS Director’s Fund (Grant No.YZJJ2022QN12).
文摘Non-line-of-sight(NLOS)imaging has emerged as a prominent technique for reconstructing obscured objects from images that undergo multiple diffuse reflections.This imaging method has garnered significant attention in diverse domains,including remote sensing,rescue operations,and intelligent driving,due to its wide-ranging potential applications.Nevertheless,accurately modeling the incident light direction,which carries energy and is captured by the detector amidst random diffuse reflection directions,poses a considerable challenge.This challenge hinders the acquisition of precise forward and inverse physical models for NLOS imaging,which are crucial for achieving high-quality reconstructions.In this study,we propose a point spread function(PSF)model for the NLOS imaging system utilizing ray tracing with random angles.Furthermore,we introduce a reconstruction method,termed the physics-constrained inverse network(PCIN),which establishes an accurate PSF model and inverse physical model by leveraging the interplay between PSF constraints and the optimization of a convolutional neural network.The PCIN approach initializes the parameters randomly,guided by the constraints of the forward PSF model,thereby obviating the need for extensive training data sets,as required by traditional deep-learning methods.Through alternating iteration and gradient descent algorithms,we iteratively optimize the diffuse reflection angles in the PSF model and the neural network parameters.The results demonstrate that PCIN achieves efficient data utilization by not necessitating a large number of actual ground data groups.Moreover,the experimental findings confirm that the proposed method effectively restores the hidden object features with high accuracy.
